url string | fetch_time int64 | content_mime_type string | warc_filename string | warc_record_offset int32 | warc_record_length int32 | text string | token_count int32 | char_count int32 | metadata string | score float64 | int_score int64 | crawl string | snapshot_type string | language string | language_score float64 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
https://resources.system-analysis.cadence.com/blog/2022-expressing-the-navier-stokes-equations-in-cartesian-coordinates | 1,723,770,718,000,000,000 | text/html | crawl-data/CC-MAIN-2024-33/segments/1722641319057.20/warc/CC-MAIN-20240815235528-20240816025528-00169.warc.gz | 368,060,277 | 48,200 | Expressing the Navier-Stokes Equations in Cartesian Coordinates
Key Takeaways
• In a two-dimensional Cartesian coordinate system, the location of a point can be given by Cartesian coordinates (x, y), where x and y are the perpendicular distances to the point from the y-axis and x-axis, respectively.
• The Navier-Sto... | 1,088 | 5,657 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.6875 | 4 | CC-MAIN-2024-33 | latest | en | 0.863741 |
http://www.exampundit.in/2017/04/sbi-po-prelims-2017-quantitative_24.html | 1,508,411,025,000,000,000 | text/html | crawl-data/CC-MAIN-2017-43/segments/1508187823282.42/warc/CC-MAIN-20171019103222-20171019123222-00663.warc.gz | 439,876,506 | 26,093 | # SBI PO Prelims 2017: Quantitative Aptitude Quiz - Set 18
Hello and welcome to exampundit. Here is a set of Quantitative Aptitude Quiz for SBI PO Prelims based on Quadratic Equations and Number Series.
Directions (Q. 1-5): In each of these questions, two equations (I) and (II) are given. You have to solve both the e... | 656 | 1,348 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.671875 | 4 | CC-MAIN-2017-43 | latest | en | 0.457288 |
https://www.jiskha.com/display.cgi?id=1328604276 | 1,516,587,685,000,000,000 | text/html | crawl-data/CC-MAIN-2018-05/segments/1516084890947.53/warc/CC-MAIN-20180122014544-20180122034544-00214.warc.gz | 923,451,708 | 4,623 | # Trigonometry (Math)
posted by .
A ladder 42 feet long is place so that it will reach a window 30 feet high (first building) on one side of a street; if it is turned over, its foot being held in position, it will reach a window 2o5 feet high (second building) on the other side of the street. How wide is the street f... | 981 | 3,676 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.0625 | 4 | CC-MAIN-2018-05 | latest | en | 0.929594 |
http://vkedco.blogspot.com/2015/05/ | 1,503,406,578,000,000,000 | text/html | crawl-data/CC-MAIN-2017-34/segments/1502886110774.86/warc/CC-MAIN-20170822123737-20170822143737-00376.warc.gz | 435,171,000 | 12,662 | Tuesday, May 5, 2015
2D FFT: Effects of Location & Thickness of Diagonal Lines on 2D Magnitude & Phase: Part 05
Problem
This post continues our series of posts on a programmatic investigation of the effects of the location and thickness of horizontal, vertical, and diagonal lines on the magnitude and phase component... | 2,680 | 9,666 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.65625 | 4 | CC-MAIN-2017-34 | longest | en | 0.799658 |
https://brainmass.com/math/graphs-and-functions/graph-and-quadratic-equations-218041 | 1,477,128,639,000,000,000 | text/html | crawl-data/CC-MAIN-2016-44/segments/1476988718866.34/warc/CC-MAIN-20161020183838-00022-ip-10-171-6-4.ec2.internal.warc.gz | 826,105,271 | 19,007 | Share
Explore BrainMass
Please assist with the attached document.
1. Find and label the vertex and the line of symmetry. Graph the function
F(x) =
The vertex is
Type an ordered pair
2. Find and label the vertex and the line of symmetry. Graph the function.
F(x) =
The vertex is
Type an ordered pair
3. Find and label... | 566 | 2,384 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.71875 | 4 | CC-MAIN-2016-44 | longest | en | 0.873039 |
http://mathhelpforum.com/calculus/120282-find-region-convergence.html | 1,529,641,621,000,000,000 | text/html | crawl-data/CC-MAIN-2018-26/segments/1529267864343.37/warc/CC-MAIN-20180622030142-20180622050142-00077.warc.gz | 202,579,666 | 11,668 | # Thread: Find the region of convergence
1. ## Find the region of convergence
Given f_n(x) = (x^2)/(1+x^2)^n, find the region of convergence. I'm not sure what the "region" is. Is it just the same as the radius of convergence?
2. The 'infinite sum' of functions...
$\displaystyle f(x) = \sum_{n=0}^{\infty} \frac{x^{... | 1,230 | 3,905 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.75 | 4 | CC-MAIN-2018-26 | latest | en | 0.784188 |
https://www.brightstorm.com/math/geometry/triangles/two-column-proofs-problem-4/ | 1,679,933,832,000,000,000 | text/html | crawl-data/CC-MAIN-2023-14/segments/1679296948673.1/warc/CC-MAIN-20230327154814-20230327184814-00383.warc.gz | 724,415,514 | 28,214 | ###### Brian McCall
Univ. of Wisconsin
J.D. Univ. of Wisconsin Law school
Brian was a geometry teacher through the Teach for America program and started the geometry program at his school
##### Thank you for watching the video.
To unlock all 5,300 videos, start your free trial.
# Two Column Proofs - Problem 4
Bri... | 1,266 | 5,555 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.625 | 5 | CC-MAIN-2023-14 | longest | en | 0.950051 |
http://slideplayer.com/slide/776493/ | 1,544,868,594,000,000,000 | text/html | crawl-data/CC-MAIN-2018-51/segments/1544376826842.56/warc/CC-MAIN-20181215083318-20181215105318-00158.warc.gz | 265,380,176 | 21,154 | # Floating point numbers. Computable reals computable numbers may be described briefly as the real numbers whose expressions as a decimal are calculable.
## Presentation on theme: "Floating point numbers. Computable reals computable numbers may be described briefly as the real numbers whose expressions as a decimal ar... | 1,236 | 4,344 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.28125 | 4 | CC-MAIN-2018-51 | latest | en | 0.881735 |
http://www.lookingforananswer.net/what-is-the-lcm-of-81-and-200.html | 1,481,040,671,000,000,000 | text/html | crawl-data/CC-MAIN-2016-50/segments/1480698541910.39/warc/CC-MAIN-20161202170901-00399-ip-10-31-129-80.ec2.internal.warc.gz | 568,522,351 | 9,663 | What is the LCM of 81 and 200?
The way to find the least common multiple of a set of numbers is to simply find *a* common multiple, and then backtrack to find if there are any less than it. - Read more
what is the lowest common multiple of 81 and 135 what is the lcm of 81 and 135 the least common multiple of 81 and 1... | 2,080 | 5,954 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.65625 | 4 | CC-MAIN-2016-50 | latest | en | 0.807325 |
https://www.esaral.com/q/if-x-a-sec-and-y-b-tan-then-b2x2-a2y2-89347 | 1,717,005,151,000,000,000 | text/html | crawl-data/CC-MAIN-2024-22/segments/1715971059384.83/warc/CC-MAIN-20240529165728-20240529195728-00810.warc.gz | 644,850,868 | 11,431 | # If x = a sec θ and y = b tan θ, then b2x2 − a2y2 =
Question:
If $x=a \sec \theta$ and $y=b \tan \theta$, then $b^{2} x^{2}-a^{2} y^{2}=$
(a) $a b$
(b) $a^{2}-b^{2}$
(c) $a^{2}+b^{2}$
(d) $a^{2} b^{2}$
Solution:
Given:
$x=a \sec \theta, y=b \tan \theta$
So,
$b^{2} x^{2}-a^{2} y^{2}$
$=b^{2}(a \sec \theta)^... | 295 | 613 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.1875 | 4 | CC-MAIN-2024-22 | latest | en | 0.267295 |
https://www.redhotpawn.com/forum/posers-and-puzzles/the-circular-field.170557/page-2 | 1,563,872,242,000,000,000 | text/html | crawl-data/CC-MAIN-2019-30/segments/1563195529175.83/warc/CC-MAIN-20190723085031-20190723111031-00396.warc.gz | 799,556,987 | 5,915 | # The Circular Field
Blood On The Tracks
Posers and Puzzles 27 Oct '16 14:03
1. 03 Jan '17 01:25
The square root of 600m = (approximately) 24.4948974278318.
Big goat circle (BC) minus little circle (LC) must equal half the little circle. The area of the little circle is 400pi so the area to be eaten by the goat must ... | 198 | 670 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.03125 | 4 | CC-MAIN-2019-30 | latest | en | 0.852833 |
https://www.analyzemath.com/practice_tests/EmSAT-Math/emsat-math-questions-1.html | 1,709,503,808,000,000,000 | text/html | crawl-data/CC-MAIN-2024-10/segments/1707947476399.55/warc/CC-MAIN-20240303210414-20240304000414-00249.warc.gz | 635,185,520 | 41,640 | EmSAT Math Practice Questions - Sample 1
EmSAT math practice questions are presented along with their answers at the bottom of the page. There are four groups of questions: algebra, geometry, statistics and probabilities, and calculus.
The detailed solutions to the questions are included.
Algebra Questions to Practic... | 4,682 | 11,352 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.34375 | 4 | CC-MAIN-2024-10 | latest | en | 0.615801 |
https://www.slideserve.com/ilario/5612271 | 1,552,985,056,000,000,000 | text/html | crawl-data/CC-MAIN-2019-13/segments/1552912201922.85/warc/CC-MAIN-20190319073140-20190319095140-00284.warc.gz | 899,283,173 | 10,906 | Download Presentation
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生活中的立体图形 ( 一 ) - PowerPoint PPT Presentation
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生活中的立体图形 ( 一 )
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Download... | 418 | 1,035 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.53125 | 4 | CC-MAIN-2019-13 | latest | en | 0.569415 |
https://fr.scribd.com/document/78045885/Solomon-S2-C-QP | 1,601,584,729,000,000,000 | text/html | crawl-data/CC-MAIN-2020-40/segments/1600402131986.91/warc/CC-MAIN-20201001174918-20201001204918-00544.warc.gz | 374,866,932 | 86,405 | Vous êtes sur la page 1sur 4
GCE Examinations
Statistics Module S2
Paper C
Time: 1 hour 30 minutes
Instructions and Information
Candidates may use any calculator except those with a facility for symbolic algebra and / or calculus.
Full marks may be obtained for answers to ALL questions.
Mathematical and statist... | 1,053 | 4,182 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.84375 | 4 | CC-MAIN-2020-40 | latest | en | 0.897147 |
hough.ai | 1,597,521,232,000,000,000 | text/html | crawl-data/CC-MAIN-2020-34/segments/1596439741154.98/warc/CC-MAIN-20200815184756-20200815214756-00573.warc.gz | 333,779,515 | 2,490 | In mathematics outside of school we use radians instead of degrees for convenience. I have found that many undergraduate students don’t understand what a radian is.
An angle of 1 radian is created when the length of the arc created by the angle is equal to the length of the radius. Thus, a radian is the angle that occ... | 442 | 1,925 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.6875 | 5 | CC-MAIN-2020-34 | latest | en | 0.933146 |
https://www.math-only-math.com/3rd-grade-math-lessons.html | 1,726,475,696,000,000,000 | text/html | crawl-data/CC-MAIN-2024-38/segments/1725700651682.69/warc/CC-MAIN-20240916080220-20240916110220-00432.warc.gz | 824,162,576 | 18,108 | In 3rd grade math lessons you will get all types of examples and practice problems on different topics along with the solutions.
Third grade math lessons are arranged in such a way that students can learn math while playing the third grade math games.
Keeping in mind the mental level of child in 3rd grade, every effo... | 2,643 | 12,404 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.5 | 4 | CC-MAIN-2024-38 | latest | en | 0.875138 |
https://www.traditionaloven.com/tutorials/surface-area/convert-sq-in-square-inch-to-barn.html | 1,571,637,109,000,000,000 | text/html | crawl-data/CC-MAIN-2019-43/segments/1570987756350.80/warc/CC-MAIN-20191021043233-20191021070733-00014.warc.gz | 1,106,672,738 | 17,562 | Convert sq in, in2 to b | square inch to barns
# area surface units conversion
## Amount: 1 square inch (sq in, in2) of area Equals: 6,451,599,999,999,999,794,479,104.00 barns (b) in area
Converting square inch to barns value in the area surface units scale.
TOGGLE : from barns into square inches in the other w... | 1,103 | 3,433 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.5 | 4 | CC-MAIN-2019-43 | longest | en | 0.764621 |
https://geekoverdose.wordpress.com/tag/implementation/ | 1,590,757,907,000,000,000 | text/html | crawl-data/CC-MAIN-2020-24/segments/1590347404857.23/warc/CC-MAIN-20200529121120-20200529151120-00004.warc.gz | 374,884,642 | 18,700 | # Einstein Riddle/Zebra Puzzle in Prolog
In this post we solve another logic puzzle deriving rules from the puzzle and stating them in Prolog. And this time it is a rather famous puzzle one: the Zebra puzzle (also called Einstein riddle/puzzle).
# Solving Logic Puzzles in Prolog: Puzzle 3 of 3
There are four researc... | 543 | 2,362 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.5625 | 5 | CC-MAIN-2020-24 | latest | en | 0.94321 |
https://mjwrightnz.wordpress.com/2016/09/27/what-happens-when-youre-hit-by-a-marshmallow-moving-at-light-speed/ | 1,501,029,101,000,000,000 | text/html | crawl-data/CC-MAIN-2017-30/segments/1500549425737.60/warc/CC-MAIN-20170726002333-20170726022333-00586.warc.gz | 681,669,958 | 43,025 | ### What happens when you’re hit by a marshmallow moving at light speed
#### Last week I made a flippant comment on Facebook about the kinetic energy a marshmallow would have were it accelerated to lightspeed.
I knew it would be giganormous. Needless to say, being a bit of a geek, I then had to go and figure out exac... | 1,184 | 5,196 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.515625 | 4 | CC-MAIN-2017-30 | longest | en | 0.956906 |
https://www.physicsforums.com/threads/limit-approaching-infinity.258162/ | 1,544,690,253,000,000,000 | text/html | crawl-data/CC-MAIN-2018-51/segments/1544376824601.32/warc/CC-MAIN-20181213080138-20181213101638-00262.warc.gz | 1,023,874,743 | 13,158 | # Homework Help: Limit approaching infinity
1. Sep 21, 2008
### kitle545
1. The problem statement, all variables and given/known data
lim (SQRT (8x^3 + 5x + 10) ) / x^2
x -> infinity
2. Relevant equations
3. The attempt at a solution
I tried factoring out x^3, but that didn't help anything.
2. Sep 21, 2008
##... | 598 | 1,490 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.15625 | 4 | CC-MAIN-2018-51 | latest | en | 0.813896 |
https://math.stackexchange.com/questions/3045117/how-to-solve-the-coupled-differential-equation | 1,555,770,098,000,000,000 | text/html | crawl-data/CC-MAIN-2019-18/segments/1555578529839.0/warc/CC-MAIN-20190420140859-20190420162859-00341.warc.gz | 468,628,650 | 33,022 | # How to solve the coupled differential equation
I have the following differential equations.
$$\tau V\frac{\partial r}{\partial x} + W\frac{\partial ^2r}{\partial x^2} + [r - Cu(1-r^2)][1-r^2]=0,$$
$$V\frac{\partial u}{\partial x} + D\frac{\partial^2 u}{\partial x^2} - \frac{V}{2}\frac{\partial r}{\partial x}=0,$$ ... | 1,087 | 3,423 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.5625 | 4 | CC-MAIN-2019-18 | latest | en | 0.92632 |
https://math.stackexchange.com/questions/3195030/find-a-and-b-for-which-int-01-axb-frac11x2-2-dx-take?noredirect=1 | 1,571,755,805,000,000,000 | text/html | crawl-data/CC-MAIN-2019-43/segments/1570987822098.86/warc/CC-MAIN-20191022132135-20191022155635-00176.warc.gz | 587,706,671 | 34,370 | # Find $a$ and $b$ for which $\int_{0}^{1}( ax+b+\frac{1}{1+x^{2}} )^{2}\,dx$ takes its minimum possible value.
Calculate for which values $$a$$ and $$b$$ the integral
$$\int_{0}^{1} \left( ax+b+\frac{1}{1+x^{2}} \right)^{2}\,dx$$
takes its minimum possible value?
For being honest I'm not sure how to try this, but ... | 1,396 | 3,887 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.15625 | 4 | CC-MAIN-2019-43 | latest | en | 0.732486 |
http://thevirtuosi.blogspot.com/2010/11/problem-of-week-1.html | 1,550,873,429,000,000,000 | text/html | crawl-data/CC-MAIN-2019-09/segments/1550249406966.99/warc/CC-MAIN-20190222220601-20190223002601-00197.warc.gz | 249,244,407 | 21,170 | ## Friday, November 5, 2010
### Problem of the Week #1
I thought we could spice things up a bit with a more interactive post on The Virtuosi. Starting this week, a new problem of the week will be posted each week. Solutions will be posted the following week. These problems will be a collection of physics and math pro... | 1,097 | 3,815 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.25 | 4 | CC-MAIN-2019-09 | latest | en | 0.872556 |
https://ringtonemediastudio.com/how-many-atoms-are-in-1-liter-of-air/ | 1,685,649,997,000,000,000 | text/html | crawl-data/CC-MAIN-2023-23/segments/1685224648000.54/warc/CC-MAIN-20230601175345-20230601205345-00655.warc.gz | 540,376,952 | 15,500 | # how many atoms are in 1 liter of air
6.022 × 10 23 22.4 = 0.27 × 10 23 particles. Hence, the number of molecules in 1 liter of any gas at S.T.P is 0.27 × 1023 molecules. UP TGT (Trained Graduate Teacher) application window closed on 16th July 2022. In this year’s recruitment cycle, a total of 3539 vacancies were rel... | 1,256 | 4,390 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.96875 | 4 | CC-MAIN-2023-23 | latest | en | 0.90653 |
https://www.skillsworkshop.org/maths?q=maths&f%5B0%5D=%3A48&f%5B1%5D=%3A49&f%5B2%5D=%3A50&f%5B3%5D=%3A849&f%5B4%5D=%3A1185&f%5B5%5D=solr_subjects_maths_page_resource_type%3A2184 | 1,669,844,844,000,000,000 | text/html | crawl-data/CC-MAIN-2022-49/segments/1669446710771.39/warc/CC-MAIN-20221130192708-20221130222708-00858.warc.gz | 1,029,597,844 | 13,347 | # Adult Numeracy, Functional Maths, and GCSE Resources
Displaying 1 - 10 of 54 resources:
## Applying Pesticides - Literacy Workbook
This document has been created to support learners who work with handling and using pesticides within the framework of current legislation. The material supports the following outcomes... | 1,548 | 6,515 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.640625 | 4 | CC-MAIN-2022-49 | latest | en | 0.852701 |
https://corporatefinanceinstitute.com/resources/wealth-management/short-interest-ratio/ | 1,669,515,740,000,000,000 | text/html | crawl-data/CC-MAIN-2022-49/segments/1669446710155.67/warc/CC-MAIN-20221127005113-20221127035113-00516.warc.gz | 218,247,094 | 21,242 | # Short Interest Ratio
A mathematical indicator of the average number of days it takes for short sellers to repurchase borrowed securities in the open market
## What is the Short Interest Ratio?
The short interest ratio is a mathematical indicator of the average number of days it takes for short sellers to repurchas... | 663 | 3,294 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.5 | 4 | CC-MAIN-2022-49 | latest | en | 0.949533 |
https://www.slideserve.com/cutter/chapter-5-4187285 | 1,701,770,506,000,000,000 | text/html | crawl-data/CC-MAIN-2023-50/segments/1700679100550.40/warc/CC-MAIN-20231205073336-20231205103336-00786.warc.gz | 1,089,181,100 | 22,198 | 1 / 72
# Chapter 5
Chapter 5. Gases. Early Experiments. Torricelli performed experiments that showed that air in the atmosphere exert pressure. Torricelli designed the first barometer. A torricellian barometer. Simple manometer. Unit of Pressure. 1 standard atmosphere =1 atm =760 mm Hg =760 torr
## Chapter 5
E N D
... | 1,146 | 4,505 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.53125 | 4 | CC-MAIN-2023-50 | latest | en | 0.719563 |
http://www.nottingham.ac.uk/xpert/scoreresults.php?keywords=Why%20study%20Rudolf%20B&start=11960&end=11980 | 1,508,371,495,000,000,000 | text/html | crawl-data/CC-MAIN-2017-43/segments/1508187823168.74/warc/CC-MAIN-20171018233539-20171019013539-00285.warc.gz | 524,235,973 | 26,214 | The content acknowledged below is Proprietary (see terms and conditions) and is used under licence.
## Unit Image
Samantha S.:www.flickr.com/photos/punkyo/371379544/
All materials included in this unit are derived from content originated at the Open University.
Author(s): The Open University
The equation 23Â =Â 8 ... | 1,856 | 8,599 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.3125 | 4 | CC-MAIN-2017-43 | longest | en | 0.951829 |
https://math.stackexchange.com/questions/2218790/on-zero-sum-integer-vectors-with-decreasing-coefficients | 1,571,540,733,000,000,000 | text/html | crawl-data/CC-MAIN-2019-43/segments/1570986702077.71/warc/CC-MAIN-20191020024805-20191020052305-00319.warc.gz | 579,655,097 | 30,788 | # On zero-sum integer vectors with decreasing coefficients
Prove that every nonzero vector $\mathbf r=(r_1, r_2, \dots, r_n)^\top\in\mathbb Z^n$ such that $r_1 \geq r_2 \geq \cdots \geq r_n$ and $\sum_{i=1}^n r_i =0$ can be written as a linear combination of the vectors $\mathbf x_1,\mathbf x_2,\ldots,\mathbf x_{n-1}$... | 373 | 1,040 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.546875 | 4 | CC-MAIN-2019-43 | latest | en | 0.831459 |
https://www.msuperl.org/wikis/icsam/doku.php?id=repository:magnetic_field_deflection | 1,653,441,162,000,000,000 | text/html | crawl-data/CC-MAIN-2022-21/segments/1652662577757.82/warc/CC-MAIN-20220524233716-20220525023716-00035.warc.gz | 995,354,222 | 7,433 | ## Magnetic Field Deflection
### Activity Information
#### Learning Goals
• Understanding the relationship between force and motion
• Calculating cross products
• Ask questions about data to determine the factors that affect the strength of electric and magnetic forces ( MS-PS2-3)
#### Prior Knowledge Required
• L... | 1,327 | 5,196 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.5625 | 4 | CC-MAIN-2022-21 | latest | en | 0.849346 |
https://www.tutorialcup.com/tag/microsoft | 1,638,695,425,000,000,000 | text/html | crawl-data/CC-MAIN-2021-49/segments/1637964363149.85/warc/CC-MAIN-20211205065810-20211205095810-00374.warc.gz | 1,133,840,374 | 27,801 | ## LRU Cache LeetCode Solution
Question Design a data structure that follows the constraints of a Least Recently Used (LRU) cache. Implement the LRUCache class: LRUCache(int capacity) Initialize the LRU cache with positive size capacity. int get(int key) Return the value of the key if the key exists, otherwise return ... | 764 | 3,330 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.9375 | 4 | CC-MAIN-2021-49 | latest | en | 0.77648 |
http://www.jiskha.com/display.cgi?id=1342010574 | 1,496,123,641,000,000,000 | text/html | crawl-data/CC-MAIN-2017-22/segments/1495463613796.37/warc/CC-MAIN-20170530051312-20170530071312-00379.warc.gz | 667,374,923 | 4,083 | # Math
posted by on .
a square painting is surrounded by a 2.5cm frame. if the total are of the painting plus frame is 3600 sq cm, find the dimensions of the painting.
• Math - ,
Since the painting is square, the length of each side of the painting, a, is such that
(a + 5)^2 = 3600 cm^2
a + 5 = 60 cm
a = 55 cm
Th... | 223 | 792 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.765625 | 4 | CC-MAIN-2017-22 | latest | en | 0.945772 |
https://www.physicsforums.com/threads/moving-particles-electrons-and-protons-using-magnet-to-deflect-fictional-idea.518355/ | 1,511,214,692,000,000,000 | text/html | crawl-data/CC-MAIN-2017-47/segments/1510934806225.78/warc/CC-MAIN-20171120203833-20171120223833-00294.warc.gz | 842,224,018 | 16,201 | # Moving particles electrons and protons, using magnet to deflect fictional idea.
1. Aug 1, 2011
### rcmango
1. The problem statement, all variables and given/known data
An alien civilization has crossed the galaxy to invade the Earth and enslave humanity, again. Their attacks have been successful so far because th... | 820 | 3,667 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.578125 | 4 | CC-MAIN-2017-47 | longest | en | 0.936238 |
http://mathhelpforum.com/calculus/194670-conditions-concavity-convexity-multivariable-case.html | 1,480,782,476,000,000,000 | text/html | crawl-data/CC-MAIN-2016-50/segments/1480698540975.18/warc/CC-MAIN-20161202170900-00091-ip-10-31-129-80.ec2.internal.warc.gz | 172,063,041 | 10,275 | # Thread: Conditions for concavity/convexity - multivariable case
1. ## Conditions for concavity/convexity - multivariable case
Hi,
Here's the problem:
Give an informal argument to show that a function F which satisfi es F(0) = F(1) = 0
and F''(t) >=0 must satisfy F(t) <= 0 for 0 <= t <= 1.
The function F is de fin... | 536 | 1,807 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.65625 | 4 | CC-MAIN-2016-50 | longest | en | 0.908479 |
https://www.proofwiki.org/wiki/Solution_to_Linear_First_Order_Ordinary_Differential_Equation | 1,685,950,272,000,000,000 | text/html | crawl-data/CC-MAIN-2023-23/segments/1685224651325.38/warc/CC-MAIN-20230605053432-20230605083432-00252.warc.gz | 1,030,218,711 | 12,124 | # Solution to Linear First Order Ordinary Differential Equation
## Theorem
A linear first order ordinary differential equation in the form:
$\dfrac {\d y} {\d x} + \map P x y = \map Q x$
has the general solution:
$\ds y = e^{-\int P \rd x} \paren {\int Q e^{\int P \rd x} \rd x + C}$
## Proof 1
Consider the first... | 729 | 2,002 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.40625 | 4 | CC-MAIN-2023-23 | latest | en | 0.706076 |
https://smart2write.com/blog/linear-regression/ | 1,675,056,633,000,000,000 | text/html | crawl-data/CC-MAIN-2023-06/segments/1674764499801.40/warc/CC-MAIN-20230130034805-20230130064805-00269.warc.gz | 548,039,270 | 18,477 | ## Linear Regression
Topic:
Linear Regression
Paper details:
Linear Regression
Using the attached data (“Car Weight and MPG.sav”), compute and interpret the relationship between:
Car Weight (“Weight”) and miles per gallon consumed (“CityMPG”)
Sample = cars in the dataset. Population = all cars on the road in Illi... | 537 | 2,528 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.5 | 4 | CC-MAIN-2023-06 | latest | en | 0.883166 |
https://documen.tv/question/giup-mik-vs-thanks-truocid1798891-69/ | 1,675,828,481,000,000,000 | text/html | crawl-data/CC-MAIN-2023-06/segments/1674764500671.13/warc/CC-MAIN-20230208024856-20230208054856-00741.warc.gz | 233,620,925 | 19,555 | # giúp mik vs, thanks trước
Question
giúp mik vs, thanks trước
in progress 0
2 years 2021-04-21T04:16:09+00:00 1 Answers 5 views 0
1. +)= 25.(9-17)/-8.(80-10)
=25.(-8)/-8. 70
=25/70=5/14
+) =48.(12-15)/-3.(370-30)
=48.(-3)/-3.340
=48/340=12/85
5/18=5.25/18.25=125/450
12/85=12.18/85*18=72/450
ok 5* nha | 164 | 310 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.765625 | 4 | CC-MAIN-2023-06 | latest | en | 0.390211 |
https://www.geeksforgeeks.org/microsoft-interview-experience-set-108-on-campus/?ref=lbp | 1,675,679,397,000,000,000 | text/html | crawl-data/CC-MAIN-2023-06/segments/1674764500334.35/warc/CC-MAIN-20230206082428-20230206112428-00447.warc.gz | 782,841,069 | 24,299 | # Microsoft Interview experience | Set 108 (On-Campus)
• Difficulty Level : Medium
• Last Updated : 20 Dec, 2018
Round 1: Aptitude
Round 2: 2 questions from data structure
Round 3: Group fly round
1. Find the least common ancestor of two nodes in a binary tree.
Determine if the current root value matches one of the... | 676 | 3,093 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.5 | 4 | CC-MAIN-2023-06 | latest | en | 0.899045 |
https://byjus.com/questions/can-displacement-be-0-if-yes-give-an-example/ | 1,628,050,205,000,000,000 | text/html | crawl-data/CC-MAIN-2021-31/segments/1627046154500.32/warc/CC-MAIN-20210804013942-20210804043942-00500.warc.gz | 164,040,200 | 37,659 | # Can displacement be 0? If yes give an example
Displacement can be zero even when distance is not zero.
For example:
Consider two points A and B such that AB = 10 m. When a car travels from A to B and then back from B to A.
Distance = 10 +10 = 20 m.
Displacement = Minimum distance between final(B) and initial pos... | 88 | 333 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.515625 | 4 | CC-MAIN-2021-31 | latest | en | 0.803253 |
http://cambodia-financial-market.blogspot.com/2011/08/calculating-position-sizes.html | 1,527,121,776,000,000,000 | text/html | crawl-data/CC-MAIN-2018-22/segments/1526794865863.76/warc/CC-MAIN-20180523235059-20180524015059-00485.warc.gz | 52,680,747 | 20,226 | ## Sunday, August 28, 2011
### Calculating Position Sizes
To make things easier for you to understand, as usual, we'll be explaining everything with an example.
This is Newbie Ned.
Long time ago, back when he was even more of a newbie than he is now, he blew out his account because he put on some enormous positions.
... | 888 | 3,393 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4 | 4 | CC-MAIN-2018-22 | latest | en | 0.970161 |
https://educationexpert.net/business/1831485.html | 1,708,840,482,000,000,000 | text/html | crawl-data/CC-MAIN-2024-10/segments/1707947474581.68/warc/CC-MAIN-20240225035809-20240225065809-00054.warc.gz | 225,281,519 | 7,814 | 10 February, 17:57
# Your seller wants to net \$100,000 after the 5% commission is paid. Assuming no closing costs, at what price does the home need to sell for the seller to net this amount?
+4
1. 10 February, 20:34
0
The home needs to sell for \$105,263.16 for the seller to receive net of \$100,000.00
Explanation:... | 212 | 750 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.921875 | 4 | CC-MAIN-2024-10 | latest | en | 0.913628 |
https://edurev.in/course/quiz/attempt/17118_MCQ-Indices-and-Surds-1/607946be-223a-40fc-99b1-786b5479a45a | 1,726,564,413,000,000,000 | text/html | crawl-data/CC-MAIN-2024-38/segments/1725700651750.27/warc/CC-MAIN-20240917072424-20240917102424-00358.warc.gz | 190,015,922 | 52,178 | MCQ: Indices and Surds - 1 - SSC CGL MCQ
# MCQ: Indices and Surds - 1 - SSC CGL MCQ
Test Description
## 15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Indices and Surds - 1
MCQ: Indices and Surds - 1 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The MCQ: Indices and Surd... | 2,777 | 6,442 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.40625 | 4 | CC-MAIN-2024-38 | latest | en | 0.704464 |
http://openstudy.com/updates/4ebd5762e4b021de86f47512 | 1,448,806,800,000,000,000 | text/html | crawl-data/CC-MAIN-2015-48/segments/1448398458511.65/warc/CC-MAIN-20151124205418-00243-ip-10-71-132-137.ec2.internal.warc.gz | 170,724,372 | 9,954 | ## joyce153 4 years ago Step-by-Step How do i solve x²-36=0
1. jhonyy9
us a2 -b2 =(a-b)(a+b)
2. jhonyy9
x2 -36=(x-6)(x+6)
3. jhonyy9
so x-6=0 x=6 and x+6=0 x=-6
4. chism
Another intuitive way Say that: \[x^{2}\] = 36 Take the square root of each side and you get that x = 6, -6
5. jhonyy9
yes is right too | 145 | 315 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.5625 | 4 | CC-MAIN-2015-48 | longest | en | 0.687795 |
https://gmatclub.com/forum/v99-184965.html | 1,560,863,743,000,000,000 | text/html | crawl-data/CC-MAIN-2019-26/segments/1560627998724.57/warc/CC-MAIN-20190618123355-20190618145355-00492.warc.gz | 447,124,117 | 53,726 | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 18 Jun 2019, 06:15
### GMAT Club Daily Prep
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Customize... | 1,006 | 3,779 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.640625 | 4 | CC-MAIN-2019-26 | latest | en | 0.857584 |
https://aramuseum.org/what-multiplies-to-and-adds-to/ | 1,653,361,372,000,000,000 | text/html | crawl-data/CC-MAIN-2022-21/segments/1652662562410.53/warc/CC-MAIN-20220524014636-20220524044636-00280.warc.gz | 156,016,267 | 4,988 | aramuseum.org->Distributive-associative-commutative-properties-> SOLUTION: variable the adhering to into the product of 2 binomials by �reverse FOIL� method. Then, check your price is correct by multiply the two binomials:x2 + 8x + 7 var visible_logon_form_ = false;Log in or register.Username: Password: register in one... | 590 | 2,532 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.03125 | 4 | CC-MAIN-2022-21 | latest | en | 0.886919 |
https://www.physicsforums.com/threads/simple-angular-acceleration-problemhelp.99794/ | 1,508,499,920,000,000,000 | text/html | crawl-data/CC-MAIN-2017-43/segments/1508187824068.35/warc/CC-MAIN-20171020101632-20171020121632-00170.warc.gz | 950,633,119 | 15,086 | # Simple angular acceleration problemhelp
1. Nov 14, 2005
### Nm
Two masses (mA= 2 kg, mB= 4 kg) are attached to a (massless) meter stick, at the 0 and 75 cm marks. The system is then hung from a string, so that it stays horizontal. Now, if mass B was removed, and no additional force was supplied, calculate the size... | 370 | 1,348 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.5625 | 4 | CC-MAIN-2017-43 | longest | en | 0.925357 |
https://republicofsouthossetia.org/question/a-movie-data-base-claims-that-the-average-length-of-movies-is-117-minutes-a-researcher-collected-15851679-13/ | 1,652,705,988,000,000,000 | text/html | crawl-data/CC-MAIN-2022-21/segments/1652662510117.12/warc/CC-MAIN-20220516104933-20220516134933-00415.warc.gz | 567,728,687 | 14,748 | ## “A movie data base claims that the average length of movies is 117 minutes. A researcher collected a random sample of 160 movies released du
Question
“A movie data base claims that the average length of movies is 117 minutes. A researcher collected a random sample of 160 movies released during 2010–2015. The mean ... | 422 | 1,730 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.21875 | 4 | CC-MAIN-2022-21 | latest | en | 0.859381 |
https://edurev.in/course/quiz/attempt/23384_Differential-Calculus-MCQ-Level-2/76b41734-3731-40a1-8f1a-43af61870634 | 1,722,792,678,000,000,000 | text/html | crawl-data/CC-MAIN-2024-33/segments/1722640408316.13/warc/CC-MAIN-20240804164455-20240804194455-00608.warc.gz | 178,993,550 | 50,465 | Differential Calculus MCQ Level - 2 - Physics MCQ
# Differential Calculus MCQ Level - 2 - Physics MCQ
Test Description
## 10 Questions MCQ Test Topic wise Tests for IIT JAM Physics - Differential Calculus MCQ Level - 2
Differential Calculus MCQ Level - 2 for Physics 2024 is part of Topic wise Tests for IIT JAM Phys... | 1,773 | 5,229 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.703125 | 4 | CC-MAIN-2024-33 | latest | en | 0.796964 |
https://puzzling.stackexchange.com/questions/99392/when-you-take-away-two/99404 | 1,621,164,240,000,000,000 | text/html | crawl-data/CC-MAIN-2021-21/segments/1620243991269.57/warc/CC-MAIN-20210516105746-20210516135746-00436.warc.gz | 486,158,291 | 46,013 | # When you take away two
I am an odd number.
When you take away two,
I become even.
What am I?
Edit: @hexomino got my original answer but I have come up with another valid answer.
Edit 2: @QuantumTwinkie got my other answer. It's really cool to see so many other creative solutions.
I think you are
Eleven
Expla... | 1,126 | 4,001 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.28125 | 4 | CC-MAIN-2021-21 | latest | en | 0.934016 |
https://www.math24.net/properties-indefinite-integrals | 1,618,917,528,000,000,000 | text/html | crawl-data/CC-MAIN-2021-17/segments/1618039388763.75/warc/CC-MAIN-20210420091336-20210420121336-00474.warc.gz | 989,676,233 | 12,056 | # Properties of Indefinite Integrals
Functions: $$f$$, $$g$$, $$u$$, $$v$$, $$F$$
Independent variables: $$x$$, $$t$$
Constant real numbers: $$C$$, $$a$$, $$b$$, $$k$$
1. An antiderivative of a function $$y = f\left( x \right)$$ defined on some interval $$\left( {a,b} \right)$$ is called any function $$F\left( x \righ... | 910 | 2,392 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.921875 | 4 | CC-MAIN-2021-17 | latest | en | 0.577982 |
https://mathoverflow.net/questions/330704/a-balls-into-bins-problem-with-combinatorial-constraints | 1,718,930,788,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198862032.71/warc/CC-MAIN-20240620235751-20240621025751-00149.warc.gz | 340,105,943 | 25,265 | # A balls into bins problem with combinatorial constraints
We are given $$m$$ balls and $$n$$ bins, with $$m \ge n$$. Each bin can contain at most $$c$$ balls (we assume that $$c$$ is an even integer). In a sequential fashion, at each time step, one ball is placed into one bin selected independently and uniformly at r... | 504 | 1,835 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.65625 | 4 | CC-MAIN-2024-26 | latest | en | 0.934462 |
http://www.gradesaver.com/textbooks/science/physics/physics-principles-with-applications-7th-edition/chapter-7-linear-momentum-problems-page-192/10 | 1,521,416,016,000,000,000 | text/html | crawl-data/CC-MAIN-2018-13/segments/1521257646178.24/warc/CC-MAIN-20180318224057-20180319004057-00279.warc.gz | 381,555,242 | 12,225 | ## Physics: Principles with Applications (7th Edition)
The ratio of the masses is $\frac{2}{1}$
Let the masses be $m_1$ and $m_2$. By the law of conservation of momentum: $m_1v_1 = m_2v_2$ This can be written as: $v_1 = \frac{m_2v_2}{m_1}$ Let's assume that $m_1$ has twice the kinetic energy. Therefore, $\frac{1}{2}m_... | 244 | 599 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.890625 | 4 | CC-MAIN-2018-13 | latest | en | 0.837006 |
http://www.gradesaver.com/textbooks/math/prealgebra/prealgebra-7th-edition/chapter-2-section-2-2-adding-integers-practice-page-109/11 | 1,524,527,614,000,000,000 | text/html | crawl-data/CC-MAIN-2018-17/segments/1524125946256.50/warc/CC-MAIN-20180423223408-20180424003408-00342.warc.gz | 423,906,696 | 13,338 | ## Prealgebra (7th Edition)
$-3$
Adding Two Numbers with Different Signs: Step 1: Find the larger absolute value minus the smaller absolute value Step 2: Use the sign of the number with the larger absolute value as the sign of the sum $|-3|=3, |0|=0, 3\gt0$ $3-0$ -3 has the larger absolute value and its sign is -, so ... | 98 | 338 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.15625 | 4 | CC-MAIN-2018-17 | latest | en | 0.805277 |
http://forumserver.twoplustwo.com/15/poker-theory/figuring-out-1219869/ | 1,369,197,978,000,000,000 | text/html | crawl-data/CC-MAIN-2013-20/segments/1368701314683/warc/CC-MAIN-20130516104834-00022-ip-10-60-113-184.ec2.internal.warc.gz | 109,293,179 | 13,828 | Two Plus Two Poker Forums Figuring this out
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07-08-2012, 11:09 PM #1 grinder Join Date: Jun 2012 Location: uNL 6max (follow my PG&C) Posts: 471 Figuring this out Hey. If I assign someone... | 929 | 3,423 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.5 | 4 | CC-MAIN-2013-20 | latest | en | 0.914037 |
https://socratic.org/questions/what-is-the-density-of-a-sample-of-a-liquid-given-that-2-00-feet-cubed-of-the-li | 1,597,310,048,000,000,000 | text/html | crawl-data/CC-MAIN-2020-34/segments/1596439738964.20/warc/CC-MAIN-20200813073451-20200813103451-00484.warc.gz | 494,077,994 | 5,997 | # What is the density of a sample of a liquid, given that 2.00 feet cubed of the liquid weighs 97.5 pounds?
Sep 9, 2016
The density of the liquid is ${\text{12.2 lb/ft}}^{3}$.
#### Explanation:
The density (ρ) of anything is its mass ($m$) divided by its volume ($V$).
color(blue)(bar(ul(|color(white)(a/a)ρ = m/Vco... | 249 | 637 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 9, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.28125 | 4 | CC-MAIN-2020-34 | latest | en | 0.827871 |
https://socratic.org/questions/how-many-moles-do-5-66-x-10-25-lithium-ions-li-equal | 1,591,135,922,000,000,000 | text/html | crawl-data/CC-MAIN-2020-24/segments/1590347426801.75/warc/CC-MAIN-20200602193431-20200602223431-00114.warc.gz | 531,661,674 | 5,789 | # How many moles do 5.66 x 10^25 lithium ions, Li^+, equal?
Approx. $100 \cdot m o l$ $L {i}^{+}$
Well, $\text{one mole}$ represents $6.022 \times {10}^{23}$ items of stuff.
We have $\frac{5.66 \times {10}^{25} \cdot L {i}^{+}}{6.022 \times {10}^{23} \cdot m o {l}^{-} 1}$
$= 94.0 \cdot m o l$ $L {i}^{+}$ ions. What is... | 148 | 347 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 7, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.671875 | 4 | CC-MAIN-2020-24 | latest | en | 0.535135 |
https://maths.wizert.com/blog/a-comprehensive-guide-to-solving-equations-with-matrices | 1,701,646,468,000,000,000 | text/html | crawl-data/CC-MAIN-2023-50/segments/1700679100518.73/warc/CC-MAIN-20231203225036-20231204015036-00101.warc.gz | 433,427,761 | 101,319 | A Comprehensive Guide to Solving Equations with Matrices
Jul 15, 2021
Many students find difficulties in math especially solving equations with matrices. Before going inside the topic, it is very important to know what a matrix is. A matrix is a rectangular arrangement of columns and numbers in a row. This rectangula... | 1,307 | 6,473 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.4375 | 4 | CC-MAIN-2023-50 | latest | en | 0.930287 |
https://elearning.reb.rw/course/view.php?id=934 | 1,713,905,122,000,000,000 | text/html | crawl-data/CC-MAIN-2024-18/segments/1712296818740.13/warc/CC-MAIN-20240423192952-20240423222952-00776.warc.gz | 212,556,497 | 47,476 | ## Topic outline
• ### UNIT 1: SET OF NUMBERS
Key Unit competence: Classify numbers into naturals, integers, rational and irrationals.
1.0. Introductory Activity 1
1.1. Natural numbers
1.0.1. Definition
Activity 1.1.1
For any school or organization, they register their different assert for good
management.
For... | 19,297 | 76,761 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.65625 | 5 | CC-MAIN-2024-18 | latest | en | 0.903399 |
https://profound-advices.com/how-much-current-we-can-draw-from-battery/ | 1,686,395,926,000,000,000 | text/html | crawl-data/CC-MAIN-2023-23/segments/1685224657169.98/warc/CC-MAIN-20230610095459-20230610125459-00042.warc.gz | 559,228,450 | 15,200 | # How much current we can draw from battery?
## How much current we can draw from battery?
You can draw anything from 0.2 Amp to 70 Amp . When charging a battery, you may use current from 1C to 5C or even more.
### How much Volt is 150Ah battery?
Luminous 150 Ah Tubular Battery, Voltage: 110 V.
Which battery is go... | 832 | 3,204 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.5625 | 4 | CC-MAIN-2023-23 | latest | en | 0.912138 |
http://scientificlib.com/en/Mathematics/Numbers/ThueMorseSequence.html | 1,591,414,354,000,000,000 | text/html | crawl-data/CC-MAIN-2020-24/segments/1590348509972.80/warc/CC-MAIN-20200606031557-20200606061557-00453.warc.gz | 102,945,887 | 6,625 | # .
In mathematics, the Thue–Morse sequence, or Prouhet–Thue–Morse sequence, is a binary sequence that begins:
0 1 10 1001 10010110 1001011001101001.... (sequence A010060 in OEIS)
Any other ordered pair of symbols may be used instead of 0 and 1; the logical structure of the Thue–Morse sequence does not depend on the... | 2,330 | 9,003 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.15625 | 4 | CC-MAIN-2020-24 | latest | en | 0.830239 |
https://math.stackexchange.com/questions/98737/solving-a-1-infty-indeterminate-form | 1,576,475,712,000,000,000 | text/html | crawl-data/CC-MAIN-2019-51/segments/1575541317967.94/warc/CC-MAIN-20191216041840-20191216065840-00290.warc.gz | 447,438,446 | 34,624 | # Solving a $1^\infty$ indeterminate form.
I'm preparing for my calculus exam and I can't solve this limit:
$$\lim_{x\rightarrow\infty}\left(\frac{1+\tan(1/x)}{1-\tan(1/x)}\right)^x$$
The limit tends to $1^\infty$, which is indeterminate. I've tried several things and I couldn't solve it.
• A function can tend to s... | 2,682 | 6,832 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.34375 | 4 | CC-MAIN-2019-51 | latest | en | 0.598157 |
https://gmatclub.com/forum/a-certain-car-averages-25-miles-per-gallon-of-gasoline-when-driven-in-128139.html | 1,722,694,885,000,000,000 | text/html | crawl-data/CC-MAIN-2024-33/segments/1722640368581.4/warc/CC-MAIN-20240803121937-20240803151937-00179.warc.gz | 237,466,021 | 142,826 | Last visit was: 03 Aug 2024, 07:21 It is currently 03 Aug 2024, 07:21
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we will pick new questio... | 4,971 | 17,400 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.28125 | 4 | CC-MAIN-2024-33 | latest | en | 0.816908 |
https://www.coursehero.com/file/3643/201-Quiz-1-FRI-solution/ | 1,656,352,328,000,000,000 | text/html | crawl-data/CC-MAIN-2022-27/segments/1656103337962.22/warc/CC-MAIN-20220627164834-20220627194834-00006.warc.gz | 776,518,662 | 48,061 | # Linear Algebra with Applications (3rd Edition)
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110.201 Linear Algebra1st Quiz SolutionFebruary 15, 2005Problem 1Given the following system of equations:3x+ 2y-5z= 14x-y+z= 0x-z= 2find all solutions using Gauss-Jordan elimination proced... | 331 | 878 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.78125 | 4 | CC-MAIN-2022-27 | latest | en | 0.494888 |
https://www.education.com/worksheets/fifth-grade/math/?page=25 | 1,627,774,237,000,000,000 | text/html | crawl-data/CC-MAIN-2021-31/segments/1627046154126.73/warc/CC-MAIN-20210731203400-20210731233400-00268.warc.gz | 755,358,885 | 28,459 | # Fifth Grade Math Worksheets and Printables
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Info Gap Cards: Describing Division
Worksheet
Info Gap Cards: Describing Division
Students learn to describe division as they look for matching cards in this information gathering activity.
Math
Worksheet
Vocabulary Car... | 1,059 | 4,608 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.96875 | 4 | CC-MAIN-2021-31 | latest | en | 0.782094 |
https://www.jiskha.com/display.cgi?id=1337035661 | 1,516,215,238,000,000,000 | text/html | crawl-data/CC-MAIN-2018-05/segments/1516084886952.14/warc/CC-MAIN-20180117173312-20180117193312-00124.warc.gz | 945,796,983 | 3,848 | posted by .
each side of square is 6 in. long aq scale factor of 2/3 is used to draw similar square , how long is each side of similar square?
• 8 th grade math -
8 in
## Similar Questions
1. ### algrebra 2
it is called completing the square here is the equation 4x^2-4x+1=9 if anyone can help me please do okay i ... | 639 | 2,326 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.09375 | 4 | CC-MAIN-2018-05 | latest | en | 0.913622 |
https://mathspace.co/textbooks/syllabuses/Syllabus-866/topics/Topic-19449/subtopics/Subtopic-260208/?textbookIntroActiveTab=guide&activeTab=theory | 1,643,271,034,000,000,000 | text/html | crawl-data/CC-MAIN-2022-05/segments/1642320305242.48/warc/CC-MAIN-20220127072916-20220127102916-00399.warc.gz | 425,214,294 | 57,783 | # 2.02 Operations with fractions
Lesson
We've already learned how to add, subtract, multiply and divide fractions. Similarly, we've looked at each of these operations with negative numbers.
The process is just the same when we have questions with negative fractions - we'll just combine these two skills and their rul... | 849 | 3,110 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.875 | 5 | CC-MAIN-2022-05 | latest | en | 0.829936 |
https://www.physicsforums.com/threads/what-is-the-rotational-inertia-of-the-door-about-the-hinges.228697/ | 1,576,142,447,000,000,000 | text/html | crawl-data/CC-MAIN-2019-51/segments/1575540542644.69/warc/CC-MAIN-20191212074623-20191212102623-00039.warc.gz | 809,275,814 | 15,240 | # What is the rotational inertia of the door about the hinges?
Thank you all for taking the time to help me out. Here's what I'm given:
1. Homework Statement
A solid door of mass M = 19 kg and width = 128 cm is hit at a right angle by a mud ball of mass m = 0.6 kg, which, as Fig. 10–44 shows, hits the door at the edg... | 258 | 940 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.546875 | 4 | CC-MAIN-2019-51 | latest | en | 0.914921 |
http://en.wikibooks.org/wiki/A-level_Physics_(Advancing_Physics)/Fission/Worked_Solutions | 1,417,210,706,000,000,000 | text/html | crawl-data/CC-MAIN-2014-49/segments/1416931011030.89/warc/CC-MAIN-20141125155651-00001-ip-10-235-23-156.ec2.internal.warc.gz | 97,909,438 | 8,810 | 1. A neutron is fired at some Uranium-235. Barium-141 and Krypton-92 are produced:
$_0^1n + _{92}^{235}U \to _{56}^{141}Ba + _{36}^{92}Kr + N_0^1n$
How many neutrons are produced (i.e. what is the value of N)?
Consider the mass numbers:
$1 + 235 = 141 + 92 + N$
$N + 233 = 236$
$N = 3$
2. What proportion of the n... | 331 | 988 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 10, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.59375 | 4 | CC-MAIN-2014-49 | longest | en | 0.890051 |
https://elteoremadecuales.com/landau-prime-ideal-theorem/?lang=fr | 1,685,673,100,000,000,000 | text/html | crawl-data/CC-MAIN-2023-23/segments/1685224648245.63/warc/CC-MAIN-20230602003804-20230602033804-00385.warc.gz | 272,300,436 | 11,060 | # Landau prime ideal theorem
Landau prime ideal theorem In algebraic number theory, the prime ideal theorem is the number field generalization of the prime number theorem. It provides an asymptotic formula for counting the number of prime ideals of a number field K, with norm at most X.
Contenu 1 Exemple 2 General nu... | 748 | 2,790 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.796875 | 4 | CC-MAIN-2023-23 | latest | en | 0.751068 |
https://www.codingdrills.com/tutorial/introduction-to-dynamic-algorithms/dynamic-programming-for-crypto | 1,723,174,443,000,000,000 | text/html | crawl-data/CC-MAIN-2024-33/segments/1722640751424.48/warc/CC-MAIN-20240809013306-20240809043306-00723.warc.gz | 555,419,484 | 76,417 | # Cryptography and Dynamic Programming
## Dynamic Algorithms: Cryptography and Dynamic Programming
Dynamic programming is a powerful technique that is widely used in computer science and programming to solve optimization problems. It breaks down large problems into smaller overlapping subproblems and computes their s... | 932 | 4,629 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.75 | 4 | CC-MAIN-2024-33 | latest | en | 0.867857 |
https://metanumbers.com/3700 | 1,721,253,588,000,000,000 | text/html | crawl-data/CC-MAIN-2024-30/segments/1720763514809.11/warc/CC-MAIN-20240717212939-20240718002939-00659.warc.gz | 340,659,234 | 7,463 | # 3700 (number)
3700 is an even four-digits composite number following 3699 and preceding 3701. In scientific notation, it is written as 3.7 × 103. The sum of its digits is 10. It has a total of 5 prime factors and 18 positive divisors. There are 1,440 positive integers (up to 3700) that are relatively prime to 3700.
... | 1,401 | 3,901 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.6875 | 4 | CC-MAIN-2024-30 | latest | en | 0.826968 |
https://www.physicsforums.com/threads/ratio-problem.367723/ | 1,544,776,050,000,000,000 | text/html | crawl-data/CC-MAIN-2018-51/segments/1544376825495.60/warc/CC-MAIN-20181214070839-20181214092339-00458.warc.gz | 1,042,839,458 | 12,586 | # Homework Help: Ratio problem
1. Jan 7, 2010
### Gringo123
Here is a problem involving ratio , and the answer plus work as given by my text book. I get a little lost at the underlines part. I don't understabnd how we arrived at a ratio of 24:9. Can any one help me out?
Mr Smith starts a business with $50,000. 3 mo... | 334 | 1,012 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.90625 | 4 | CC-MAIN-2018-51 | latest | en | 0.970444 |
https://www.killerinsideme.com/news/what-is-the-median-of-2-4-5-6-7-9/ | 1,712,992,508,000,000,000 | text/html | crawl-data/CC-MAIN-2024-18/segments/1712296816586.79/warc/CC-MAIN-20240413051941-20240413081941-00382.warc.gz | 784,836,834 | 19,795 | # What is the median of 2 4 5 6 7 9?
What is the median of 2 3 4 5 6 7 and 9
therefore the medians are 5 and six.
What is the median of 2 3 4 5 7 9
What is the median of the set 1 2 3 4 5 6 7 8 9 10
1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Where the number of terms is in even. Therefore, the median of the first 10 natural n... | 752 | 1,899 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.984375 | 4 | CC-MAIN-2024-18 | latest | en | 0.912061 |
https://www.coursehero.com/file/6387000/sample-quiz-3-solutions1/ | 1,495,968,365,000,000,000 | text/html | crawl-data/CC-MAIN-2017-22/segments/1495463609613.73/warc/CC-MAIN-20170528101305-20170528121305-00283.warc.gz | 1,082,229,486 | 23,928 | sample_quiz_3_solutions[1]
# sample_quiz_3_solutions[1] - Version Fin 536 Sample Quiz 3...
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This is the end of the preview. Sign up to access the rest ... | 503 | 1,877 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.578125 | 4 | CC-MAIN-2017-22 | longest | en | 0.905 |
http://www.gradesaver.com/textbooks/math/other-math/thinking-mathematically-6th-edition/chapter-3-logic-3-3-truth-tables-for-negation-conjunction-and-disjunction-exercise-set-3-3-page-148/36 | 1,524,394,539,000,000,000 | text/html | crawl-data/CC-MAIN-2018-17/segments/1524125945584.75/warc/CC-MAIN-20180422100104-20180422120104-00244.warc.gz | 427,930,585 | 13,805 | ## Thinking Mathematically (6th Edition)
$\begin{array}{llllll} p & q & \sim q & p\vee\sim q & p\vee q & ( p\vee\sim q)\wedge(p\vee q)\\ \hline T & T & F & T & T & T\\ T & F & T & T & T & T\\ F & T & F & F & T & F\\ F & F & T & T & F & F \end{array}$
Set up a truth table for two inputs, p and q: $\begin{array}{llll} p... | 579 | 1,332 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.28125 | 4 | CC-MAIN-2018-17 | latest | en | 0.305404 |
https://www.smartkeeda.com/Quantitative_Aptitude/Arithmetic/Number_Series/newest/all/passage/No_Series_Quiz_20/ | 1,596,835,463,000,000,000 | text/html | crawl-data/CC-MAIN-2020-34/segments/1596439737225.57/warc/CC-MAIN-20200807202502-20200807232502-00065.warc.gz | 848,670,957 | 28,603 | Directions : What will come in place of question mark (?) in the following series?
Important for :
1
420, 462, 506, 552, 600, ?
» Explain it
B
Series Pattern Given Series 20 × 21 = 420 420 21 × 22 = 462 462 22 × 23 = 506 506 23 × 24 = 552 552 24 × 25 = 600 600 25 × 26 = 650 650 ✓
Hence, option (B) is co... | 2,222 | 7,199 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.1875 | 4 | CC-MAIN-2020-34 | latest | en | 0.752584 |
https://annoyingpi.wordpress.com/2011/02/20/a-problem-from-the-smt/ | 1,501,202,822,000,000,000 | text/html | crawl-data/CC-MAIN-2017-30/segments/1500549436316.91/warc/CC-MAIN-20170728002503-20170728022503-00518.warc.gz | 592,722,916 | 37,928 | # Rambling Thoughts
## A problem from the SMT
The 13th annual Stanford Mathematics Tournament was held on February 19, 2011. My favorite problem on the contest was the last problem on the calculus subject test.
Theorem 1 Compute the integral
$\displaystyle \int_0^\pi \ln (1 - 2a \cos x + a^2) \, dx$
for ${a > 1}$.... | 2,837 | 7,225 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 71, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.3125 | 4 | CC-MAIN-2017-30 | longest | en | 0.674714 |
https://metanumbers.com/91681 | 1,638,627,862,000,000,000 | text/html | crawl-data/CC-MAIN-2021-49/segments/1637964362992.98/warc/CC-MAIN-20211204124328-20211204154328-00432.warc.gz | 435,686,319 | 7,353 | # 91681 (number)
91,681 (ninety-one thousand six hundred eighty-one) is an odd five-digits composite number following 91680 and preceding 91682. In scientific notation, it is written as 9.1681 × 104. The sum of its digits is 25. It has a total of 2 prime factors and 4 positive divisors. There are 86,272 positive integ... | 1,287 | 3,884 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.5625 | 4 | CC-MAIN-2021-49 | latest | en | 0.81434 |
http://www.mathportal.org/analytic-geometry/analytic-geometry-2d/lines.php | 1,506,423,113,000,000,000 | text/html | crawl-data/CC-MAIN-2017-39/segments/1505818695439.96/warc/CC-MAIN-20170926103944-20170926123944-00337.warc.gz | 513,347,761 | 13,776 | Math Calculators, Lessons and Formulas
It is time to solve your math problem
« Basic Concepts
Analytic Geometry: (lesson 2 of 4)
## Lines
Only two pieces of information are needed to completely describe a given line. However, we have some flexibility on which two pieces of information we use
1. specifying the slo... | 684 | 2,423 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.90625 | 5 | CC-MAIN-2017-39 | latest | en | 0.906605 |
http://math.stackexchange.com/questions/168288/the-dynamics-of-contrapositive-proofs | 1,448,814,516,000,000,000 | text/html | crawl-data/CC-MAIN-2015-48/segments/1448398458553.38/warc/CC-MAIN-20151124205418-00031-ip-10-71-132-137.ec2.internal.warc.gz | 145,524,455 | 18,693 | The Dynamics of Contrapositive Proofs
The Wikipedia Link for contrapositive proofs states that proving if p then q is the same as proving if not q then not p. I don't completely follow why.
Is there any way to understand what's happening without involving logic tables ? If logic tables are inevitable, can anyone give... | 1,134 | 3,908 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.09375 | 4 | CC-MAIN-2015-48 | longest | en | 0.920292 |
https://creativekindergartenblog.com/counting-principles-cardinality/ | 1,701,426,913,000,000,000 | text/html | crawl-data/CC-MAIN-2023-50/segments/1700679100286.10/warc/CC-MAIN-20231201084429-20231201114429-00818.warc.gz | 224,093,698 | 24,503 | Home » Counting Principles – Cardinality
# Counting Principles – Cardinality
Cardinality is the fourth blog post in a series about Counting Principles. These principles are helpful when developing children’s number sense. It’s not enough for them to learn to count by rote, they have to develop a strong foundation of ... | 383 | 1,861 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.65625 | 4 | CC-MAIN-2023-50 | latest | en | 0.936932 |
https://convertoctopus.com/80-7-cubic-centimeters-to-teaspoons | 1,642,941,360,000,000,000 | text/html | crawl-data/CC-MAIN-2022-05/segments/1642320304261.85/warc/CC-MAIN-20220123111431-20220123141431-00080.warc.gz | 239,526,315 | 8,082 | ## Conversion formula
The conversion factor from cubic centimeters to teaspoons is 0.20288413535365, which means that 1 cubic centimeter is equal to 0.20288413535365 teaspoons:
1 cm3 = 0.20288413535365 tsp
To convert 80.7 cubic centimeters into teaspoons we have to multiply 80.7 by the conversion factor in order to ... | 552 | 2,092 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.0625 | 4 | CC-MAIN-2022-05 | latest | en | 0.712682 |
https://www.sarthaks.com/2725535/ratio-present-ages-shikha-kumar-years-before-ratio-between-their-ages-then-present-shikha?show=2725536 | 1,669,862,469,000,000,000 | text/html | crawl-data/CC-MAIN-2022-49/segments/1669446710789.95/warc/CC-MAIN-20221201021257-20221201051257-00202.warc.gz | 1,025,993,987 | 14,329 | # If ratio of present ages of Shikha and Raj Kumar is 2 ∶ 1 and 15 years before the ratio between their ages was 3 ∶ 1, then the present age of Shikha i
44 views
closed
If ratio of present ages of Shikha and Raj Kumar is 2 ∶ 1 and 15 years before the ratio between their ages was 3 ∶ 1, then the present age of Shikha ... | 274 | 728 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.25 | 4 | CC-MAIN-2022-49 | latest | en | 0.963269 |
http://www.drhuang.com/index/dsolve.htm | 1,670,554,637,000,000,000 | text/html | crawl-data/CC-MAIN-2022-49/segments/1669446711376.47/warc/CC-MAIN-20221209011720-20221209041720-00640.warc.gz | 65,253,374 | 2,747 | math handbook calculator - Fractional Calculus Computer Algebra System software
+ + + =
# dsolve
solve differential and fractional differential equation (ODE) for y and system of equations for x(t) and y(t).
Calling Sequence Parameters Description Examples References Source
## Calling Sequence
dsolve(eq)
... | 497 | 1,546 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.75 | 4 | CC-MAIN-2022-49 | latest | en | 0.700277 |
https://de.zxc.wiki/wiki/Drehrichtung | 1,680,256,575,000,000,000 | text/html | crawl-data/CC-MAIN-2023-14/segments/1679296949598.87/warc/CC-MAIN-20230331082653-20230331112653-00685.warc.gz | 249,262,699 | 12,600 | # Direction of rotation
The terms of rotation and direction of rotation , even of circulation or circulation direction called, indicate the direction in which, from a certain point of view, points to a circular move being made between the two alternatives
• clockwise , clockwise or in the geodetically positive direct... | 1,929 | 9,528 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.125 | 4 | CC-MAIN-2023-14 | longest | en | 0.86649 |
https://thebytebeat.com/what-happens-when-you-jump-in-a-bus | 1,642,690,481,000,000,000 | text/html | crawl-data/CC-MAIN-2022-05/segments/1642320301863.7/warc/CC-MAIN-20220120130236-20220120160236-00418.warc.gz | 628,359,879 | 11,166 | # What happens when you jump on a bus?
If the bus is moving forward and you try to leap straight up inside it, you'll be pushed back by the acceleration "force," and if you're on the roof, you'll be pushed back by the air resistance plus the acceleration, landing further back than you would if the vehicle was moving a... | 651 | 3,047 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.8125 | 4 | CC-MAIN-2022-05 | latest | en | 0.969014 |
https://blog.gmatwhiz.com/retaking-gmat-after-break/ | 1,624,362,659,000,000,000 | text/html | crawl-data/CC-MAIN-2021-25/segments/1623488517048.78/warc/CC-MAIN-20210622093910-20210622123910-00196.warc.gz | 134,167,677 | 40,219 | Right. So you attempted the GMAT either to understand your current capabilities on the test or without proper preparation. Either way, you saw your scores take a turn for the worse. Those numbers, along with the circumstances under which you gave the GMAT, successfully paved the way for fear, forcing you to take a brea... | 1,313 | 6,508 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.578125 | 4 | CC-MAIN-2021-25 | longest | en | 0.944677 |
http://collegeadmissions.testmasters.com/extra-hard-sat-math-question-ratio-riddles/ | 1,603,853,567,000,000,000 | text/html | crawl-data/CC-MAIN-2020-45/segments/1603107896048.53/warc/CC-MAIN-20201028014458-20201028044458-00145.warc.gz | 22,515,755 | 23,871 | # Extra Hard SAT Math Question – Ratio Riddles
At the end of every SAT Math section, the test makers try to come up with an extremely difficult problem that will leave even the cleverest students scratching their heads. The really evil part, though, is that even these problems can be solved in under a minute without a... | 574 | 2,326 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.5 | 4 | CC-MAIN-2020-45 | latest | en | 0.950085 |
https://studylib.net/doc/9029332/unit-3---introduction---scientific-notation-and-si | 1,611,827,421,000,000,000 | text/html | crawl-data/CC-MAIN-2021-04/segments/1610704839214.97/warc/CC-MAIN-20210128071759-20210128101759-00553.warc.gz | 577,688,413 | 13,927 | # Unit 3 - Introduction - Scientific Notation and SI
```Grade 9 Academic Science - Chemistry
Scientific Notation
What is this number?
300 000 000 m/s
0.000 000 000 753 kg
These numbers are very hard to write. A method has been developed to express very large or small
numbers. The method is called scientific notati... | 2,427 | 7,387 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.15625 | 4 | CC-MAIN-2021-04 | latest | en | 0.897656 |
http://www.shmoop.com/library-of-babel/rules-order-theme.html | 1,394,315,984,000,000,000 | text/html | crawl-data/CC-MAIN-2014-10/segments/1393999664754/warc/CC-MAIN-20140305060744-00074-ip-10-183-142-35.ec2.internal.warc.gz | 519,782,410 | 34,321 | To Go
The Library of Babel
by Jorge Luis Borges
# The Library of Babel Theme of Rules and Order
The Library in "The Library of Babel" is a universe built according to a set of rules. In fact, it's the most orderly universe you could possibly imagine. All of the rooms look exactly the same, and contain the same number... | 684 | 3,120 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.671875 | 4 | CC-MAIN-2014-10 | longest | en | 0.96669 |
https://math.stackexchange.com/questions/694533/proofs-of-asymptotics | 1,571,335,444,000,000,000 | text/html | crawl-data/CC-MAIN-2019-43/segments/1570986675598.53/warc/CC-MAIN-20191017172920-20191017200420-00432.warc.gz | 587,824,928 | 32,601 | Proofs of Asymptotics
I'm going through a few proofs to make sure I understand them and in two of the proofs, there is a step I don't understand.
1) In the first, we have that $f(x) = g(x) + ln\left(\frac{\lfloor x \rfloor}{x}\right)$. So, if $|g(x)| < \frac{2}{\lfloor x \rfloor}$, then $|f(x)| < \frac{2}{\lfloor x \... | 1,167 | 3,236 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.03125 | 4 | CC-MAIN-2019-43 | latest | en | 0.809203 |
https://www.studymode.com/essays/Pow-16-Spiralaterals-96631.html | 1,537,372,767,000,000,000 | text/html | crawl-data/CC-MAIN-2018-39/segments/1537267156252.31/warc/CC-MAIN-20180919141825-20180919161825-00265.warc.gz | 887,149,335 | 24,977 | # Pow 16: Spiralaterals
Topics: Fibonacci number, Function, Randomness Pages: 2 (718 words) Published: October 15, 2006
A spiralateral is a series of line segments that form a shape that resembles a spiral. You make spiralaterals by picking a spot on a piece of graph paper to be the starting point of the spiralateral.... | 485 | 2,112 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.375 | 4 | CC-MAIN-2018-39 | latest | en | 0.958782 |
https://www.storyboardthat.com/storyboards/c4a5970b/unknown-story3 | 1,620,947,056,000,000,000 | text/html | crawl-data/CC-MAIN-2021-21/segments/1620243992514.37/warc/CC-MAIN-20210513204127-20210513234127-00017.warc.gz | 1,012,162,852 | 29,619 | Unknown Story
Updated: 3/25/2020
This storyboard was created with StoryboardThat.com
#### Storyboard Text
• Ice has very little friction. Friction is a force, and when an object (like a ball) rolls or travels, it it pulls the opposite way on the object, causing it to slow down.
• Or, let's say I was roller-skating on... | 373 | 1,293 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.21875 | 4 | CC-MAIN-2021-21 | latest | en | 0.952203 |
http://gynvael.coldwind.pl/n/my_pow_function_c_cpp | 1,521,711,791,000,000,000 | text/html | crawl-data/CC-MAIN-2018-13/segments/1521257647838.64/warc/CC-MAIN-20180322092712-20180322112712-00087.warc.gz | 130,873,010 | 6,528 | my pow function C/C++ (last update: 2012-09-24, created: 2012-09-23) back to the list ↑
Someone on an IRC channel mentioned something about implementing a pow (power) function in C/C++, so I decided to give it a quick try.
Note: While it's trivial to do a double pow(double a, int b) function, it's a little more work to... | 7,244 | 16,091 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.65625 | 4 | CC-MAIN-2018-13 | latest | en | 0.44515 |
https://plainmath.org/precalculus/24177-determine-two-values-of-x-between-0-circ-and-360-circ-that-have-ps | 1,713,073,412,000,000,000 | text/html | crawl-data/CC-MAIN-2024-18/segments/1712296816864.66/warc/CC-MAIN-20240414033458-20240414063458-00352.warc.gz | 424,228,348 | 23,680 | Tolnaio
2021-08-12
Determine two values of x between ${0}^{\circ }$ and ${360}^{\circ }$ that have $\mathrm{sin}x=\frac{-\sqrt{3}}{2}$
gwibdaithq
Given:
$\mathrm{sin}x=\frac{-\sqrt{3}}{2}$
Calculation:
$\mathrm{sin}x$ is negative in third and fourth quadrant.
$\mathrm{sin}x=\frac{\sqrt{3}}{2}$
$\mathrm{sin}\left(\f... | 286 | 632 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 30, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.09375 | 4 | CC-MAIN-2024-18 | latest | en | 0.36591 |
http://www.ck12.org/book/Algebra-Explorations-Concepts-Pre-K-through-Grade-7/r5/section/3.3/ | 1,490,272,303,000,000,000 | text/html | crawl-data/CC-MAIN-2017-13/segments/1490218186895.51/warc/CC-MAIN-20170322212946-00221-ip-10-233-31-227.ec2.internal.warc.gz | 454,815,709 | 34,624 | <img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# 3.3: Circles and Arrows 1
Difficulty Level: At Grade Created by: CK-12
Can you figure out the value of each letter in the diagram below? In this concept, we will use problem solving s... | 1,999 | 5,723 | {"found_math": true, "script_math_tex": 7, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.96875 | 5 | CC-MAIN-2017-13 | longest | en | 0.697091 |
https://socratic.org/questions/how-do-you-determine-if-sigma-7-5-n-6-n-from-n-0-oo-converge-and-find-the-sums-w | 1,713,934,764,000,000,000 | text/html | crawl-data/CC-MAIN-2024-18/segments/1712296819067.85/warc/CC-MAIN-20240424045636-20240424075636-00425.warc.gz | 477,226,681 | 5,924 | How do you determine if Sigma (7*5^n)/6^n from n=[0,oo) converge and find the sums when they exist?
Feb 8, 2017
${\sum}_{n = 0}^{\infty} \frac{7 \cdot {5}^{n}}{6} ^ n = 42$
Explanation:
Write the series as:
${\sum}_{n = 0}^{\infty} \frac{7 \cdot {5}^{n}}{6} ^ n = 7 {\sum}_{n = 0}^{\infty} {\left(\frac{5}{6}\right)... | 247 | 576 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 5, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.40625 | 4 | CC-MAIN-2024-18 | latest | en | 0.647942 |
www.janthor.com | 1,484,791,852,000,000,000 | text/html | crawl-data/CC-MAIN-2017-04/segments/1484560280425.43/warc/CC-MAIN-20170116095120-00470-ip-10-171-10-70.ec2.internal.warc.gz | 505,703,992 | 3,227 | The mandelbrot set. I think I do not need to explain the definition of the mandelbrot set in detail, since it is such a well-known set.
The mandelbrot set is a part of the complex plane C. Let fc be the complex function z -
How to compute an image of the mandelbrot set. The usual method is this: You divide a piece of ... | 1,629 | 5,623 | {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 3.859375 | 4 | CC-MAIN-2017-04 | latest | en | 0.899896 |
https://dsp.stackexchange.com/questions/62002/is-a-fourier-transform-a-sound-way-to-analyse-a-transient-signal?noredirect=1 | 1,618,430,777,000,000,000 | text/html | crawl-data/CC-MAIN-2021-17/segments/1618038078021.18/warc/CC-MAIN-20210414185709-20210414215709-00057.warc.gz | 333,539,003 | 45,745 | # Is a Fourier transform a sound way to analyse a transient signal?
I am currently working on a project that involves analysing transient signals from sensors.
While not actually part of the analysis itself, I discussed it with the team, and they are using an fft to analyze the transient measurement.
From what i rec... | 1,841 | 7,637 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.625 | 4 | CC-MAIN-2021-17 | longest | en | 0.870307 |
https://stats.stackexchange.com/questions/411163/error-sum-of-square-for-ols-estimator | 1,579,662,828,000,000,000 | text/html | crawl-data/CC-MAIN-2020-05/segments/1579250606269.37/warc/CC-MAIN-20200122012204-20200122041204-00273.warc.gz | 661,053,508 | 31,103 | # Error sum of square for OLS estimator
The error sum of squares is defined as:
$$SSe(\beta)=(y-X\beta)'(y-X\beta)\tag{1}$$
I want to show that for the OLS estimator $$\hat\beta$$,
$$SSe(\beta)=SSres+(\beta-\hat\beta)'X'X(\beta-\hat\beta)\tag{2}$$
I know that $$SSres=SSe(\hat\beta)$$, but I don't understand how to... | 439 | 1,212 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.65625 | 4 | CC-MAIN-2020-05 | latest | en | 0.641719 |
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