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# Search by Topic #### Resources tagged with Quadratic equations similar to Thousand Words: Filter by: Content type: Stage: Challenge level: ### Proof Sorter - Quadratic Equation ##### Stage: 4 and 5 Challenge Level: This is an interactivity in which you have to sort the steps in the completion of the square into ...
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Finding a scalar field whose gradient is a given conservative vector field I'm studying for a course in electromagnetism, and I've been given an electric field for which I need to find the associated scalar potential. I was going to originally post this in the physics section but I think my problems are more calculus ...
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# Quick way to check if a matrix is diagonalizable. Is there any quick way to check whether a matrix is diagonalizable or not? In exam if a question is asked like "Which of the following matrix is diagonalizable?" and four options are given then how can one check it quickly? I hope my question makes sense. • Find th...
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# algebra can you help me simplify this (-2-2)[8+(7+8)] 1. 👍 0 2. 👎 0 3. 👁 117 1. (-2-2)[8+(7+8)] just follow the order of operation rule: BEDMAS = (-4)[8 + 15] = (-4)[23] = -92 1. 👍 0 2. 👎 0 ## Similar Questions 1. ### Algebra 1 Plz help me with the following problems. Simplify. 5^-1(3^-2) Simplify. mn^-4...
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# Difference between revisions of "2021 AMC 12B Problems/Problem 12" The following problem is from both the 2021 AMC 10B #19 and 2021 AMC 12B #12, so both problems redirect to this page. ## Problem Suppose that $S$ is a finite set of positive integers. If the greatest integer in $S$ is removed from $S$, then the ave...
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# Mechanics: Vectors and Projectiles ## Vectors and Projectiles: Audio Guided Solution #### Problem 28: Sharon Steady and Al Wayskachon won South’s recent egg toss contest held during Homecoming week. In their winning toss, Sharon gave the egg an underhand toss, releasing it with a velocity of 8.06 m/s at an angle o...
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# How to solve improper fractions These can be very helpful when you're stuck on a problem and don't know How to solve improper fractions. We will give you answers to homework. ## How can we solve improper fractions In this blog post, we will provide you with a step-by-step guide on How to solve improper fractions. ...
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# A stone is projected vertically upwards tehmatriks ## Homework Statement A stone is projected vertically upwards from the ground with an initial velocity of 80 m s-1. Find the greatest height reached and the time taken. When will the stone be 96 m above the ground? ## Homework Equations [v = u + at], [s = ut + ½...
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# Monday November 24, 2025 Adding 156 days from Saturday June 21, 2025 is Monday November 24, 2025 which is day number 328 of 2024. This page is designed to help you the steps to count 156, but understand how to convert and add time correctly. • Specific Date: Saturday June 21, 2025 • Days from Saturday June 21, 2025...
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# HackerEarth Lonely M's array problem solution In this HackerEarth Lonely M's array problem solution The lonely M is again playing with his array a1,a2,...,an (as playing with his array is the only choice), he wants to choose a subsequence of array like b1,b2,...,bm that b1 >= b2 >= b3 >= b4 .. <= (>= if m = 0 (mod 2...
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Search All of the Math Forum: Views expressed in these public forums are not endorsed by NCTM or The Math Forum. Notice: We are no longer accepting new posts, but the forums will continue to be readable. Topic: Cardinality of turning wheel Replies: 43   Last Post: Mar 10, 2013 1:55 AM Messages: [ Previous | Next ]...
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# Python Division: Integer Division and Float Division In this post, you’ll learn Python 3 division, as well as some of its unexpected quirks. You’ll learn how to use both integer and floor methods, as well as how to interpret some of its less expected results. ## Python Division – The different ways Python has two ...
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# Point Slope Form X And Y Intercepts Learn All About Point Slope Form X And Y Intercepts From This Politician Are you apprehensive why I asked you to break the beeline equations in the aloft contest for y? I wasn’t aloof authoritative you jump through hoops (although I am afflicted by your agility, I charge admit); t...
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#  Matter is anything that takes up space.  Physical property is anything you can observe about an object by using your senses. ## Presentation on theme: " Matter is anything that takes up space.  Physical property is anything you can observe about an object by using your senses."— Presentation transcript:  Matt...
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# FAQ: Working with Numbers - Built-In Methods This community-built FAQ covers the “Built-In Methods” exercise from the lesson “Working with Numbers”. Paths and Courses This exercise can be found in the following Codecademy content: Learn C# ## FAQs on the exercise Built-In Methods There are currently no frequentl...
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# Why are the Least-Squares and Maximum-Likelihood methods of regression not equivalent when the errors are not normally distributed? Title says it all. I understand that the Least-Squares and Maximum-Likelihood will give the same result for regression coefficients if the model's errors are normally distributed. But, ...
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## Algebra and Trigonometry 10th Edition for $r=\sqrt 6$: $a_1=2$ $a_2=2\sqrt 6$ $a_3=12$ $a_4=12\sqrt 6$ $a_5=72$ for $r=-\sqrt 6$: $a_1=2$ $a_2=-2\sqrt 6$ $a_3=12$ $a_4=-12\sqrt 6$ $a_5=72$ $a_1=2,~~a_3=12$ The nth term of a geometric sequence: $a_n=a_1r^{n-1}$ $a_3=a_1r^{3-1}$ $12=2r^2$ $6=r^2$ $r=\sqrt 6$ or $r=-\...
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Precalculus by Richard Wright Are you not my student and has this helped you? This book is available Jesus replied: “‘Love the Lord your God with all your heart and with all your soul and with all your mind.’ This is the first and greatest commandment. And the second is like it: ‘Love your neighbor as yourself.’” Ma...
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Pythagore Demonstration of the theorem Author : Thibaut Bernard Number of visitor Update: Sunday 30 May 2001. Alphaquark author's Note : This page is a translation of Démonstration du théorème de Pythagore with the help of Altavista translation. I hope this translation is good, but if there are any errors, you can ...
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Concepts Class 9 Chapter 11 Class 9 - Work and Energy What is Transformation of Energy It is change of energy from one form to another Examples of Transformation of Energy Dropping of brick from Height In this case, potential energy gets transformed into kinetic enrrgy Potential Energy → Kinetic Energy Explanat...
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Next: 3.3.1 Consistent Vertex Winding Up: 3. Modeling Previous: 3.2 Decomposition and Tessellation ## 3.3 Generating Model Normals Given an arbitrary polygonal model without precomputed normals, it is fairly easy to generate polygon normals for faceted shading, but quite a bit more difficult to create correct vertex ...
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0 If 5^x – 5^(x- 3) = 124*5^y, what is y in terms of x? GMAT Timer00:00 If 5^x – 5^(x- 3) = 124*5^y, what is y in terms of x? A. x B. x - 6 C. x - 3 D. 2x + 3 E. 2x + 6 just assume 1 value of x like I assumed the value of x to be 4 . 5^4-5^1=620 now try to assume the value of y in such a way that the rhs also comes o...
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Those are the pins 1 through 13. These are pins that we write voltages to. We remember that the the pins that don’t have a squiggly line. We can do digital rights to that. Would be a digital right to that pin high or to that pin low, but if we use the pins that have the squiggly line by them, we can actually write an a...
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# Thread: Polynomial rings -- F2[x] 1. ## Polynomial rings -- F2[x] In Dummit and Foote section 7.4 Exercise 15 reads as follows: "Let $\displaystyle x^2 + x + 1$ be an element of the polynomial ring $\displaystyle E = {\mathbb{F}_2 [x]$ ... ..." I am unsure of the meaning of the notation $\displaystyle {\mathbb{F}...
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# 二叉搜索树的最近公共祖先 Lowest Common Ancestor of a Binary Search Tree lowest-common-ancestor-of-a-binary-search-tree ## 题目 Given a binary search tree (BST), find the lowest common ancestor (LCA) of two given nodes in the BST. According to the definition of LCA on Wikipedia: “The lowest common ancestor is defined between tw...
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# Rice's formula In probability theory, Rice's formula counts the average number of times an ergodic stationary process X(t) per unit time crosses a fixed level u.[1] Adler and Taylor describe the result as "one of the most important results in the applications of smooth stochastic processes."[2] The formula is often ...
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# GATE Aptitude 450 views Look at this series: 8, 6, 9, 23, 87, ... What number should come next? A. 128 B. 226 C. 324 D. 429 0 D) 429 ?? $8\\ 8\times1-2=6\\ 6 \times2-3=9\\ 9 \times 3 - 4=23\\ 23 \times 4-5=87\\ 87 \times 5-6=429$ Hence, Option(D)429 is the correct choice. selected 8 8*1-2=6 6*2-3=9 9*3-4=23...
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Thread: What's the formula for finding the terms in an arithmetic series? 1. What's the formula for finding the terms in an arithmetic series? Here's the math problem.... In an arithmetic series, the terms of the series are equally spread out. For example, in 1+5+9+13+17, consecutive terms are 4 apart. If the first ...
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# Simpsons rule error bound. 1. May 22, 2013 ### SherlockOhms 1. The problem statement, all variables and given/known data Calculate the value of n so that the approximation is within 0.0001. b = 2, a = 1. f(x) = 1/x. 2. Relevant equations f4(x) = 24/x^5 (Think this is correct) Error <= (b-a)^5/180n^4(MAXx [a,b](f4...
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## Thursday, April 28, 2011 ### Chapter 4: Algebra... Help! What's Wrong? Jane did the following: • 3a + b = 3ab • 2s + 4t = 6st Do you think Jane applied the correct algebraic manipulations process? If yes, please write down examples to show that her answer is correct. If not, explain to Jane her mistakes and help ...
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# Lecture Slides ```Effect of Support Distribution  Many real data sets have skewed support distribution Support distribution of a retail data set Effect of Support Distribution  How to set the appropriate minsup threshold? – If minsup is set too high, we could miss itemsets involving interesting rare items (e.g., e...
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# If twice a number is at least three less than four times the number, which of the following are true? let n represent the number. Step-by-step explanation: Let n represent the number Twice the number =2n 4 times the number = 4n Given that twice the number is atleast 3 less than four times the number Algebraical...
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(71B) Right Triangle Solver - Printable Version +- HP Forums (https://www.hpmuseum.org/forum) +-- Forum: HP Software Libraries (/forum-10.html) +--- Forum: General Software Library (/forum-13.html) +--- Thread: (71B) Right Triangle Solver (/thread-7463.html) (71B) Right Triangle Solver - Eddie W. Shore - 12-23-2016 07:...
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M base X M1 unknown V HCl V2 250 mL 00250L M HCl M2 010M M1V1M2V2 sf2 M1 00502L # M base x m1 unknown v hcl v2 250 ml 00250l m hcl m2 This preview shows page 7 - 9 out of 9 pages. M (base X) = M1 = unknown V (HCl) = V2 = 25.0 mL = 0.0250L M (HCl) = M2 = 0.10M M1V1=M2V2 sf=2 M1 (0.0502L Base X) = (0.1M HCl)(0.0250L) ...
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# Subtracting decimals: 9.005 - 3.6 Common Core Math: ## Video transcript We need to calculate 9.005 minus 3.6, or we could view it as 9 and 5 thousandths minus 3 and 6 tenths. Whenever you do a subtracting decimals problem, the most important thing, and this is true when you're adding decimals as well, is you have...
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# Cars Johnny has 370 cars. Peter twice less. How many cars have Peter? Correct result: x =  185 #### Solution: $x=370\mathrm{/}2=185$ We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you! ## Next similar math problems: • Here is Here is a...
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# What is a hundreds block called? ## What is a hundreds block called? Flats. The value of the hundreds digit is represented by a flat. A flat is a model of 100 unit blocks or 10 rods joined together. It is 100 times the size of a unit block and 10 times the size of a rod. ## What is the value of the base 10 blocks?...
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x Turn on thread page Beta You are Here: Home >< Maths # OCR MEI AS Mathematics Core 1 13/05/2013 watch Its the same thing Stop worrying! haha it is kinda worrying Posted from TSR Mobile 2. (Original post by Rubyturner94) for rearranging tk make r the subject, in the denomenator everyone put pi(a+b) i put pia+pib ...
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# What is an Algorithm? #### In this tutorial, we will learn what algorithms are with the help of examples. An algorithm is a set of well-defined instructions in sequence to solve a problem. ## Qualities of a good algorithm 1. Input and output should be defined precisely. 2. Each step in the algorithm should be cle...
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# Conjugate-transpose of a linear transformation Let $V=M^{C}_{n \times n}$ with the standard inner product. Suppose $T_{P}$ is a linear transformation from $V$ to $V$ such as: $\forall X \in V,\ T_{P}X=P^{-1}XP$ for some invertible matrix $P$. Show that the following holds: $(T_{P})^{*}=T_{P^{*}}$ (that is, the conj...
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• # Personal Statement:Mathematics and Statistics 1 TSR Wiki > University > Applying to University > Personal Statement Library > Mathematics and Statistics 1 ## Mathematics and Statistic 1 Personal Statement Mathematics and Statistics have interested me all my life and the latter in particular is a large part of my...
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You are Here: Home >< Maths # Surds: Dividing by Negative Numbers Watch 1. (Original post by Mr M) Wasn't ever unhappy. TenOfThem and I are maths teachers - GCSEs had not been invented when we were at school if that explains the dinosaur reference. Oh okay, sorry for sounding rude ^^ What level do you teach at? 2. (O...
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# Mathematics-Multiplication and Division (NSTSE (National Science Talent Search Exam- Unified Council) Class 4): Questions 6 - 12 of 156 Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 1791 questions. Access all new questions we will add tracking exam-pattern and syllabus...
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# Physics posted by . A drowsy cat spots a flowerpot that saild first up and then down past an open window. The pot was in view for a total of .43 s, and then top-to-bottom height of the window is 2m. How high above the window top did the flowerpot go? • Physics - Let V2 be the velocity as the pot goes by the botto...
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# I Relativistic doppler shift and radar Tags: 1. Mar 19, 2017 ### Corvinus96 Consider at stationnary radar at the origin $z=0$ and a target (speed $v$) moving along the $z$ axis and away from the radar. The radar is sending plane waves (frequency $f_i$) to the target and they come back to the radar (the radar is th...
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# Downsampling by block averaging Many spectroscopic detectors used to study light absorbance as a function of time. These detectors cab sample data at 160 to 250 Hz. There is an option of choosing lower sampling rates such 80, 40, 20, 10 Hz to decrease noise. The manual uses an interesting term called "data bunching"...
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Do you wonder where fact families are found in the current standards? The fact is, current standards don’t actually mention fact families at all anymore. Instead, they refer to “the relationship between operations.” An understanding of this relationship is best developed through many hands-on experiences with the combi...
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# math posted by on . chandni purchased some parrots.20%flew away and 5% died.of the remaining 45% were sold.now 33 parrot remain.how many parrot Chandni purchased. • math - , I will assume that 20% of the original, and 5% of the original. let the number he had be n so now he has 75% of x left or 3x/4 of those he s...
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# The king, the jack and the 10 of spades are lost from a pack of 52 cards and a card is drawn from the remaining cards after shuffling. Question: The king, the jack and the 10 of spades are lost from a pack of 52 cards and a card is drawn from the remaining cards after shuffling. Find the probability of getting a (i...
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## Suppose two point charges, Q1 = +3.37 x 10^-6 C and Q2 = -8.21 x 10^-6 C, are separated by a distance d = 1.99 m. Using Question Suppose two point charges, Q1 = +3.37 x 10^-6 C and Q2 = -8.21 x 10^-6 C, are separated by a distance d = 1.99 m. Using Coulomb’s Law, find the attractive force between the charges. A)...
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|x| 2. ## Re: Uniform Continuity Originally Posted by lovesmath Prove that the function is uniformly continuous on the set of real numbers. f(x)=|x| I think I have to use the reverse triangle inequality, but I am not sure how to do it. There you have it. $\left| {\left| x \right| - \left| {x_0 } \right|} \right| \le...
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# If x is a positive integer such that the distance between points Question: If x is a positive integer such that the distance between points P (x, 2) and Q (3, −6) is 10 units, then x = (a) 3 (b) −3 (c) 9 (d) −9 Solution: It is given that distance between $P(x, 2)$ and $Q(3,-6)$ is 10 . In general, the distan...
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# Resources tagged with: Experimental probability Filter by: Content type: Age range: Challenge level: ### There are 28 results Broad Topics > Probability > Experimental probability ### You Never Get a Six ##### Age 7 to 11 Challenge Level: Charlie thinks that a six comes up less often than the other numbers on t...
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Last visit was: 09 Sep 2024, 02:34 It is currently 09 Sep 2024, 02:34 Toolkit GMAT Club Daily Prep Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email. Customized for You we will pick new questio...
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Open in App Not now Maximum number of objects that can be created as per given conditions • Difficulty Level : Hard • Last Updated : 17 Mar, 2021 Given N items of type-1 and M items of type-2. An object can be created from 2 items of type-1 and 1 item of type-2 or 2 items of type-2 and 1 item of type-1 pieces. The t...
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Provided by: rrdtool_1.7.0-1build2_amd64 #### NAME ``` bin_dec_hex - How to use binary, decimal, and hexadecimal notation. ``` #### DESCRIPTION ``` Most people use the decimal numbering system. This system uses ten symbols to represent numbers. When those ten symbols are used up, they start all over ag...
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# Time + equation - math problems #### Number of problems found: 332 • The orchard 4 temporary workers harvested the orchard in 9 days. How many temporary workers we need for six days? • The field 3 tractors plow the field in 6 hours. However, after 2 hours, 1 tractor broke down. How long will the field be plowed? • ...
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# A power amplifier with a 10-dB gain has an input power of 0.5-W. What is the output power? ( in watts)? So i figured out the answer is 5 watts, by multiplying the gain (10db x 0.5 watts); but I'm sure that's not the way to go about solving this decible problem. Can someone guide me in the right direction? Relevance...
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Metamath Proof Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  MPE Home  >  Th. List  >  abeq2 Structured version   Visualization version   GIF version Theorem abeq2 2862 Description: Equality of a class variable and a class abstraction (also called a class builder). Theorem 5.1 of [Quine] p. 34. Th...
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# Show that: $\mu\left(\bigcup_N \bigcap_{n=N}^{\infty} A_n \right) \leq \lim \inf \mu(A_n)$ Let $(X,\mathcal{M},\mu)$ be a measure space. Let $A_1, A_2, \ldots \in \mathcal{M}$. Then, I want to show that: $$\mu\left(\bigcup_N \bigcap_{n=N}^{\infty} A_n \right) \leq \lim \inf \mu(A_n)$$ There is a solution in lectur...
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# Non_ Linear relationships ## circles with equation. In these circles it shows different types of intercepts and radius, there is y intercepts and x intercepts. Examples = x^2 + y^2 =36 formula r= x^2 + y^2=r^2 x^2+ y^2= 36 r^2=36 r=6 six is the radius and 0,6 is y intercepts and -6,0 is x intercepts.
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# How To Calculate The Performance Of A Refrigerator And Heat Pump Size: px Start display at page: Download "How To Calculate The Performance Of A Refrigerator And Heat Pump" Transcription 1 THERMODYNAMICS TUTORIAL 5 HEAT PUMPS AND REFRIGERATION On completion of this tutorial you should be able to do the following....
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This site is supported by donations to The OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A191488 A companion to Gould’s sequence A001316. 4 4, 6, 8, 10, 8, 12, 16, 18, 8, 12, 16, 20, 16, 24, 32, 34, 8, 12, 16, 20, 16, 24, 32, 36, 16, 24, 32, 40, 32, 48, 64, 66, 8, 12, 16, 20...
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# General Chemistry: Molar Mass from Molarity & Density 201 views MCAT practice question: A well-sealed flask found in a laboratory is said to contain a 3 M solution of an unidentified compound. The solution is measured to be 2.5 L and to have a density of 2 g/mL. The molar mass of this compound is closest to: A. 15...
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# How to read the output of Binary cross entropy? Suppose for a single training example, the true label is [1 0 0 0 0] while the predictions be [0.1 0.5 0.1 0.1 0.2]. How to calculate its binary cross entropy? And how output value decides whether a sample belongs to class a or b? I also want to know that that in the f...
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Tuesday, September 17, 2013 z-algorithm for pattern matching String algorithms are a traditional area of study in computer science and there is a wide variety of standard algorithms available. The more algorithms you know, the more easier it gets to work with them :) As the title of the post says, we will try to expl...
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## Wednesday, 30 January 2013 ### 20130130 Point to Ponder... Rational Numbers on a Number Line? 1. No, I do not. ,-5,-4,-3,-2,-1,1,2,3,4,5 are all rational numbers and they. fit the requirements of the question, henceforth the question is valid 2. I do not agree as we can represent -5 on the number line example , -...
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# 11851 (number) 11851 is an odd five-digits composite number following 11850 and preceding 11852. In scientific notation, it is written as 1.1851 × 104. The sum of its digits is 16. It has a total of 2 prime factors and 4 positive divisors. There are 10,152 positive integers (up to 11851) that are relatively prime to...
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# 1957 AHSME Problems/Problem 39 ## Problem Two men set out at the same time to walk towards each other from $M$ and $N$, $72$ miles apart. The first man walks at the rate of $4$ mph. The second man walks $2$ miles the first hour, $2\tfrac {1}{2}$ miles the second hour, $3$ miles the third hour, and so on in arithmet...
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### Optimization Problem Solved by a Genetic Algorithm - Wifi Antenna Suppose you run a small business in your town, let's call your town Smallville, and no unfortunately Clark Kent is absent in this story. Two years ago they found black gold, yes oil and gas, and our countryside town is emerging and growing at an exp...
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# Determine Time by Rounding to Nearest Hour Rate 0 stars Quiz size: Message preview: Someone you know has shared quiz with you: To play this quiz, click on the link below: https://www.turtlediary.com/quiz/determine-time-by-rounding-to-nearest-hour.html?app=1?topicname=b.html?topicname=beginner?topicname=beginner H...
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 LOSSY OR LOSSLESS DECOMPOSITION (second method), | Online Tutorials Library | Tutorialsinfo.com # LOSSY OR LOSSLESS DECOMPOSITION (second method) Algorithm: Testing for lossless (nonadditive) join property. Input: A universal relation R, a decomposition D = { R1, R2, R3, ….. Rm } of R, and a set F of functional de...
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# What Is Step-Down Transformer and How It Works? ### Step-Down Transformer A step-down transformer is an essential electrical apparatus that reduces the voltage in an AC power supply. Comprising primary and secondary windings along with an iron core, its functionality is grounded in electromagnetic principles. When...
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# Find the Centroid of δAbc Whose Vertices Are A(2,2) , B (-4,-4) and C (5,-8). - Mathematics Find the centroid of ΔABC  whose vertices are A(2,2) , B (-4,-4) and C (5,-8). #### Solution The given points are A(2,2) , B (-4,-4) and C (5,-8). Here ,  (x_1 = 2, y_1=2), (x_2=-4, y_2=-4) and (x_3=5 , y_3 =-8) Let G (x ...
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# 管理科学代写|决策论代写Management Science Models for Decision Making代考|MGMT721 ## 管理科学代写|决策论代写Management Science Models for Decision Making代考|Convexity of PL Functions of a Single Variable We discuss convexity of PL functions next. As these functions are not differentiable at points where there slopes change, the arguments us...
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# 27616 (number) 27,616 (twenty-seven thousand six hundred sixteen) is an even five-digits composite number following 27615 and preceding 27617. In scientific notation, it is written as 2.7616 × 104. The sum of its digits is 22. It has a total of 6 prime factors and 12 positive divisors. There are 13,792 positive inte...
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# Math Practice or Homework Worksheets Subject Resource Type Product Rating File Type PDF (Acrobat) Document File 523 KB|4 pages Share Product Description Counting Coins CCSS.Math.Content.1.OA.C.6 Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as countin...
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# Chapter 9 - Section 9.5 - Parametric Equations - Exercise Set - Page 1019: 6 $(-1,4)$ #### Work Step by Step The line passing through the point $P(a,b,c)$ and parallel to the normal vector $n=\lt p,q,r\gt$ can be represented by the parametric equations as shown below: $x=a+pt; y=b+qt; z=c+qt$ Here, $t \to$ Real nu...
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To install click the Add extension button. That's it. The source code for the WIKI 2 extension is being checked by specialists of the Mozilla Foundation, Google, and Apple. You could also do it yourself at any point in time. 4,5 Kelly Slayton Congratulations on this excellent venture… what a great idea! Alexander Gri...
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# Class 10 RD Sharma Solutions – Chapter 8 Quadratic Equations – Exercise 8.6 | Set 1 ### Question 1. Determine the nature of the roots of following quadratic equations : (i) 2x² – 3x + 5 = 0 (ii) 2x² – 6x + 3 = 0 (iii) 3/5 x² – 2/3 x + 1 = 0 (iv) 3x² – 4√3 x + 4 = 0 (v) 3x² – 2√6 x + 2 = 0 So...
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# Why $r$ is equal to $1/\phi$ in the System of Equations I have this system \begin{align*} & \cos\theta\left(r+\frac 1r\right)=-2\\ & r^2+\frac 1{r^2}+4\cos^2\theta=10\end{align*} I solved for $r$ and $\cos\theta$ by first squaring the first equation$$r^2+\frac 1{r^2}=\frac 4{\cos^2\theta}-2$$So$$\frac 4{\cos^2\the...
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# the volume of a cubical box is 474.552 metre cube. find length of each side of the box Given : Volume of a cube = 474.552 m3 To find : Side of the cube Solution : We know, Volume of a cube = (Side)3 474.552 m3  = (Side)3 (Side)3 = 474.552 m3 Now combining three terms inside the cube root we get Hence, the sid...
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Maths # How to Calculate the Area of a Circle? | Geometry | Maths | Tutorial The area of a circle can be derived by the formula A = πr2. In this tutorial you will learn how to apply this formula to an example. For explanation on how this formula works read article “Area of a Circle – Proof Formula A = πr2 Where: ...
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World's most popular travel blog for travel bloggers. # Transitivity of concat comparison , , Problem Detail: I am trying to solve the problem of finding the permutation, amongst all possible ones, of an array of strings, where the concatenation of them compares smallest lexicographically. I solve it with an sort wi...
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digplanet beta 1: Athena Share digplanet: Agriculture Applied sciences Arts Belief Chronology Culture Education Environment Geography Health History Humanities Language Law Life Mathematics Nature People Politics Science Society Technology Chinese checkers board has 121 holes. A star number is a...
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• :00Days • :00Hours • :00Mins • 00Seconds A new era for learning is coming soon Suggested languages for you: Americas Europe Q36E Expert-verified Found in: Page 120 ### Linear Algebra With Applications Book edition 5th Author(s) Otto Bretscher Pages 442 pages ISBN 9780321796974 # Consider a nonzero vector $\st...
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# How do you factor y= 8m^2 - 41m - 42? Dec 27, 2015 Find a suitable splitting of the middle term, then factor by grouping to find: $8 {m}^{2} - 41 m - 42 = \left(8 m + 7\right) \left(m - 6\right)$ #### Explanation: Find a pair of factors of $A C = 8 \cdot 42 = 16 \cdot 21 = 336$ which differ by $B = 41$ The spli...
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# After deriving a new coordinate via sequential linear transforms, how can I map translations back to the original coordinates? I have a Bezier curve, defined with coordinates $P_1, P_2, P_3, P_4$ and apply a sequence of linear tranformations that turn these into $(0,0), (0,s), (s,s)$ and a fourth "free" coordinate (...
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THERMO Spoken Here! ~ J. Pohl ©  ( A0920~1/15) ( A0930 - Eratosthanes' Measurement ) # Theorem of Pythagoras The Pythagorean Theorem applies to right triangles. It is an algebraic truth relating the lengths of sides and hypotenuse. The therorm has many proofs. Here we use the fact that the area of an outer square equ...
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10 + 90, 20 + 80, 30 + 70, 40 + 60 and 50 + 50 all add up to 100. # Addition and Subtraction Facts to 100 This Math quiz is called 'Addition and Subtraction Facts to 100' and it has been written by teachers to help you if you are studying the subject at elementary school. Playing educational quizzes is a fun way to l...
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# House Robber Problem ## Description LeetCode Problem 198. You are a professional robber planning to rob houses along a street. Each house has a certain amount of money stashed, the only constraint stopping you from robbing each of them is that adjacent houses have security systems connected and it will automatical...
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Class 10 MATHS Triangles # Using Theorem 6.1, prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that you have proved it in Class IX). Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams. Upda...
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# When an exponential congruence has solution I need help proving the following: Let $a\neq \pm1$ be an integer which is not divisible by an odd prime p. Let $d$ be the order of $a$ modulo $p$ and let $k_0$ be the largest integer such that $a^d=1$ mod $p^{k_0}$. Prove that if $k\geq{k_0}$ is a solution of the exponen...
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# SOLUTION: one side of a pool table is 1 foot longer than twice the width. the area of the pool table is 15 square feet. what is the length of the table? how would you write this as a formul Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: one side of a pool table is 1 foot longer t...
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# A finite group is nilpotent iff two elements with relatively prime order commute (Question 9 in chapter 6.1 of Dummit and Foote). Prove that a finite group G is nilpotent if and only if whenever $a, b \in G$ with $(|a|, |b|) = 1$ then $ab = ba$. It says to use the following theorem: Let G be a finite group, $p_1$, ...
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# Equations Functions: $$f$$, $$g$$, $$h$$ Unknowns (independent variables): $$x,$$ $$y,$$ $$z$$ Solutions (roots) of equations: $$x,$$ $${x_1},$$ $${x_2},$$ $${y_1},$$ $${y_2},$$ $${y_3}$$ Real numbers: $$a$$, $$b$$, $$c$$, $$d$$, $$p$$, $$q$$, $$u$$, $$v$$ Discriminant: $$D$$ 1. An equation is an equality of the for...
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## anjali_pant 3 years ago Show , lim x->0 ( sin 1/x) not equal to 0 use epsilon delta method 1. FoolForMath it's lies in the interval -1,1 isn't ? 2. anjali_pant nothing like that , prove by epsilon delta , thats all i know ! :p 3. FoolForMath LOL!! Nice :)) 4. anjali_pant LOL ! :p 5. experimentX http://www....
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11 Questions 0 Views # Population Dynamics: Density-Dependent Factors Created by @PeerlessAmbiguity ### Match the types of values in a Chi-squared test with their descriptions: Observed values = Actual data from the experiment Expected values = Theoretical data based on the null hypothesis Calculated values = Resul...
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# The value of Question: The value of $\sqrt{248+\sqrt{52+\sqrt{144}}}$ is (a) 14 (b) 12 (c) 16 (d) 13 Solution: (c) We have, $\sqrt{248+\sqrt{52+\sqrt{144}}}$ $=\sqrt{248+\sqrt{52+12}}$               $[\because$ square root of $144=12]$ $=\sqrt{248+\sqrt{64}}$ $=\sqrt{248+8}$                                ...
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# Integer partitioning Suppose we have an integer $n$. I we want to partition the integer in the form of $2$ and $3$ only; i.e., $10$ can be partitioned in the form $2+2+2+2+2$ and $2+2+3+3$. So, given an integer, how to calculate the total number of ways of doing such partitions and how many $2$'s and $3$'s are ther...
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