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Recognitions: Gold Member ## Intensity of periodic sound waves The problem is this: A firework charge is detonated many meters above the ground. At a distance of 400m from the explosion, the acoustic pressure reaches a maximum of 10.0 N/m2. Assume that the speed of sound is constant at 343 m/s throughout the atmosph...
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1. ## equation solving I was able to answer parts (a) and (b) , however struggled with part (c). I've given the questions to part (a) and (b), as i think there is material given that is needed, in order to answer part (c).... A rectangle has legth (l) and width (w). (a) Write an expression for the perimeter and area...
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# Finding area of ellipse using line integral. 1. Jul 29, 2010 ### yungman The standard method of calculating area of ellipse: $$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$$ $$Area = \int_C -ydx \hbox { or } \int_C xdy$$ It is more convient to use polar coordinate $x=a cos \theta \; \hbox { and }\; y=b sin \theta$ $$...
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Number Theory Integer Equations - With Restriction Ben throws a fair die five times. If we label the outcome of the $$n^{\text{th}}$$ throw as $$a_n,$$ what is the number of cases such that $$a_1< a_2<a_3\le a_4\le a_5?$$ Consider the two sets $$A=\{1,2,3,4,5,6\}$$ and $$B=\{7,8,9,10\}.$$ How many functions $$f:A\ri...
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# Commutator of two operators 1. Sep 8, 2011 ### jfy4 1. The problem statement, all variables and given/known data Let $U$ and $V$ be the complementary unitary operators for a system of $N$ eingenstates as discussed in lecture. Recall that they both have eigenvalues $x_n=e^{2\pi in/N}$ where $n$ is an integer satisf...
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Multiplying Two-Digit by Two-Digit Numbers ## How to Multiply Two-Digit Numbers by Two-Digit Numbers In the last lesson, you learned how to multiply 1-digit numbers by 4-digit numbers. Now, let's learn how to multiply 2-digit numbers by 2-digit numbers. ### Understanding 2-Digit by 2-Digit Multiplication 42 × 23 =...
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Elastic Collisions Video Lessons Concept # Problem: A baseball of mass m1 = 0.39 kg is thrown at another ball hanging from the ceiling by a length of string L = 1.95 m. The second ball m2 = 0.85 kg is initially at rest while the baseball has an initial horizontal velocity of V1 = 3.5 m/s. After the collision, the fir...
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# What is an Axiomatic System? ## Introduction Axiomatic method (公理系統) – a method of proving that results are correct. —To use axiomatic method, the following requirements must be satisfied: • Acceptance of certain statements called “axioms (公理)”, or “postulates” without further justification. • Agreement on how and ...
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Changes in the Right Hand Side (RHS) of the Constraint (Sensitivity Analysis in Linear Programming) Vector on Right Hand Side (RHS) associated with the constrains of a Linear Programming model may have different practical interpretations such as the availability of inputs for the manufacture of certain products, limit...
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Geometry This free course is available to start right now. Review the full course description and key learning outcomes and create an account and enrol if you want a free statement of participation. Free course # 2.7 Rotational symmetry There is another kind of symmetry which is often used in designs. It can be see...
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## MortelBOX ### BOX Of Vectors This post categorized under Vector and posted on March 3rd, 2020. Drawing Vector Diagrams. Physics Lecture 7. For a pdf transcript of this lecture go to www.richardlouie.com. Vector addition is one of the most common vector operations that a student of physics must master. When adding...
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# What Does What Is an Array in Math Mean? February 17, 2019Uncategorized ## Getting the Best What Is an Array in Math Moreover, it’s possible to obtain informative article and papers on line regarding simple approaches which might help you to get ready for analyzing. Test our services and you’ll realize that gettin...
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# x+ y = 5    2x-y = 4   solve x and y X = 3 and Y = 2.  Here is how we find this. What we have to do is use the first equation to get a value for y.  This is quite easy because all we must do is say x + y = 5 so y = 5 -x Now we plug that value into the second equation. 2x - (5-x) = 4 This becomes 2x - 5 + x = 4...
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# Aleph number (Redirected from Aleph naught) In mathematics, particularly in set theory, the aleph numbers are a sequence of numbers used to represent the cardinality (or size) of infinite sets that can be well-ordered. They were introduced by the mathematician Georg Cantor [1] and are named after the symbol he used...
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# Math posted by . Given the points A(0,0)B(3,1), and C(1,4), what is the measure of angle ABC? • Math - I've done this already, but maybe you didn't see it or didn't like it. What topic are you studying? There are various ways to go about solving it, and I'd hate to use a method that will not be acceptable as part...
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# Propagation of uncertainties while calculating trigonometric ratios If one has an equation such as $$x=-(3.2±0.1)\cos(30.3º±0.2º).$$ How does the error carry to be able to find the value of $$x$$? I have found that you have to -sine the error in the cosine, but then how do you deal with the value by which the scalar...
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Submit a question to our community and get an answer from real people. What is 2 and 7/25 as a percentage? 2 7/25 Report as Divide 7 by 25 and you get .28 so you know have 2.28. Multiply 2.28 by 100 and you get 228%.
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Search the Q&A Archives # ...convert a certain number to binary in C programming? Question by am-am Submitted on 7/6/2003 Related FAQ: comp.lang.c Answers to Frequently Asked Questions (FAQ List) Rating: Rate this question: N/A Worst Weak OK Good Great how to convert a certain number to binary in C programming? An...
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Science 21 Online iluvdogs: A 230 kg steel crate is being pushed along a cement floor. The force of friction is 480 N to the left and the applied force is 1860 N to the right. What is the acceleration of the crate? (Hint: remember to find net force first) a= m/s2 iluvhotmoms: 6.0 m/s2 TheKaylaHope: Net force = App...
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2014-07-02T23:18:22-04:00 ### This Is a Certified Answer Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest o...
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# Proving that there infinitely positive integer that are not clean (unique representation) Solution IMO 2015 (combinatoric shortlist problem ) Problem 6: Let S be a nonempty set of positive integers. We say that a positive integer n is clean if it has a unique representation as a sum of an odd number of distinct el...
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Value of a Put Nolte is considering the purchase of a put on a futures contract with an exercise price of \$22. Both the option and the futures contract expires in 6 months. The call price is \$1.00 and the futures price is \$20.00. The value of the put option on the futures contract is: A) 2.95 B) 2.65 C) 2.45 D) 2.3...
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Percentile Calculator Created by Maciej Kowalski, PhD candidate Reviewed by Bogna Szyk and Jack Bowater Last updated: Jul 13, 2023 Welcome to the percentile calculator, where we'll go through the topic of finding percentiles together. Even if we don't know much about the data set, the percentile in statistics is a us...
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# Thread: Linear Algebra - Fields 1. ## Linear Algebra - Fields I came across this question in my course. Consider a system AX=B of n linear equations in n unknowns where A and B have integer entries. Prove or disprove : If the system has an integer solution, then it has a solution in F(p) for all p. Well, I could s...
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Jamie Medina 2022-11-26 Let $f$ and $g$ be differentiable functions with following properties: If $h\left(x\right)=f\left(x\right)g\left(x\right)$ and $h\text{'}\left(x\right)=f\left(x\right)g\text{'}\left(x\right)$, then what is $f\left(x\right)$ ? Aldo Rios Expert $h\left(x\right)=f\left(x\right)g\left(x\right)$...
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## LeetCode 226. Invert Binary Tree Problem: Invert a binary tree. ``` 4 / \ 2 7 / \ / \ 1 3 6 9``` to ``` 4 / \ 7 2 / \ / \ 9 6 3 1``` Trivia: This problem was inspired by this original tweet by Max Howell: Google: 90% of our engineers use the software you wrote (Homebrew), but y...
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LearnZillion 5th Grade Measurement and Data This page provides samples of 5th Grade Measurement and Data Activities aligned with the Common Core State Standards. All activities are suitable for use in Math Centers, small group or whole class settings and are designed to provide opportunities for students to communicat...
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+0 # Algebra 0 5 1 +555 Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2mn - 21m + 6n + mn - 9m + ___ Mar 23, 2024 #1 +394 +1 \(3mn-30m+6n+c\) \(3m(n - 10) + 6n + c\) \(3m(n-10)+6(n-10)+60+c\) \((3m+6)(n-10)+60+c\) \(c+60 = 0\) \(...
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## How do you write an expression in math? How do you Write an Expression? We write an expression by using numbers or variables and mathematical operators which are addition, subtraction, multiplication, and division. For example, the expression of the mathematical statement “4 added to 2”, will be 2+4. ## What are s...
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Fuzzy Logic Fuzzy Logic is a term that is used in tow different senses, a narrow sense and a broad sense. The Narrow sense is a logical system that generalizes classic binary, true and false or zero and one, logic into uncertainty. The broad sense of the term is all the technologies that employ classes with unsharp bo...
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# Solving Quadratics Algebraically Mrs Daniel Algebra 1 Table • Slides: 40 Solving Quadratics Algebraically Mrs. Daniel- Algebra 1 Solving Quadratics: Finding where the parabola intersects the x-axis. Also called finding the zeros of the function or the roots of the function because the function’s value is zero when...
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# Theater The theater has in each row with 19 seats. Ticket to the first 10 rows is for 30 USD. In next rows is for 15 USD. The theater was completely sold out. Revenue was 12255 USD. How many rows are in the theater? Result n =  33 #### Solution: 19*10*30 + 19*(n-10)*15 = 12255 285n = 9405 n = 33 Calculated b...
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Check if an Array is a permutation of numbers from 1 to N Given an array arr containing N positive integers, the task is to check if the given array arr represents a permutation or not. A sequence of N integers is called a permutation if it contains all integers from 1 to N exactly once. Examples: Input: arr[] = {1...
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lookup for certain value in sorted matrix(mXn) with time complexity O(lgm) + O(lgn) The matrix A is sorted by row and column where A[i][j] < A[i][j+1] and A[i][j] < A[i+1][j]. An additional information is that the first element of each row is smaller than the last element of the previous row, for example : ``````⎡1 ...
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CIS 5511. Programming Techniques Sorting (1) ### 1. The sorting problem The sorting problem: input, output, value, order. Why to study it: practical and conceptual reasons. Major operations: element comparisons and assignments. Common algorithms of comparison sort and their time costs: Other considerations: • W...
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# Integral momentum equation Newton’s second law states that, in an inertial reference frame, the time rate of momentum change of a fixed mass system is equal to the net force acting on the system, and it takes place in the direction of the net force. Mathematically, Newton’s second law of motion for fixed-mass in a r...
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Find all School-related info fast with the new School-Specific MBA Forum It is currently 19 Apr 2015, 07:43 ### 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. C...
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## Calculus 8th Edition $R=0$ ; interval of convergence is $(0,0)$ Let $a_{n}=n^{n}x^{n}$, then $\lim\limits_{n \to \infty}|\frac{a_{n+1}}{a_{n}}|=\lim\limits_{n \to \infty}|\dfrac{(n+1)^{n+1}x^{n+1}}{n^{n}x^{n}}|$ $=\lim\limits_{n \to \infty}|(n+1)x(1+\frac{1}{n})^n|$ $=\lim\limits_{n \to \infty}|(n+1)ex|$ $=\infty$ ...
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# rational numbers It is by the rule that a rational number can be expressed in P/Q form and an irrational number cannot be expressed in such form. It is even said that (in order to promote the P/Q form for expressing the rational numbers... that both, that is the numerator and the denominator should be in the form of...
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COP 3503 - Computer Science II (Fall 2005) Week Two # COP 3503 - Computer Science II (Fall 2005) Week Two Télécharger la présentation ## COP 3503 - Computer Science II (Fall 2005) Week Two - - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - - ##### Present...
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# Probability of getting $x$ dice with the same numbers of $n$ dice thrown once together There are $$6$$ dice, where each die consists of $$6$$ values $$(1,2,3,4,5,6)$$. They are all thrown once at the same time. What is the probability of getting three dice pairs with the same numbers shown? I understand that there ...
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Question Wed April 18, 2012 By: # hello pavan.i came across these problems while doing a q.paper yeaterday. i find it difficult to solve.pls help me out.pls reply as soon as possible Wed April 18, 2012 sin3A+cos3A=(sinA+cosA)(sin2A+cos2A-sinA cosA) =(sinA+cosA) (1-sinA cosA),                        as sin2A+cos2A=1 ...
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# Effective Annual Interest Rate Calculator ## What is the effective annual rate ear calculator? The EAR calculator, or effective annual rate calculator, is a handy tool created for computing the effective annual rate of an investment or a loan. Read further and learn what is effective annual rate, how to calculate E...
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Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack It is currently 22 May 2017, 12:47 ### 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 Dail...
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# Lesson Planning of Division of Fraction Lesson Planning of Division of Fraction Subject Mathematics Students` Learning Outcomes • Divide fraction by a whole number • Divide a whole number by a fraction • Divide a fraction by another fraction (proper, improper and mixed fractions) Information for Teachers • You ...
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Friday May 6, 2016 Homework Help: algebra 1 Posted by Anonymous on Wednesday, March 20, 2013 at 9:05pm. 3a+b=52a+5=10use elimination to solve each systems of equations. • algebra 1 - Reiny, Wednesday, March 20, 2013 at 10:30pm The way you typed it, there is no need to use elimination from 52a+5 = 10 52a = 5 a = 5/5...
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Sum of Exterior Angles of Polygons Transcript Ex 3.2, 1 Find x in the following figures. (a) Given, Three exterior angles 125°, 125° and x We know that, Sum of the exterior angles = 360° 125° + 125° + x = 360° 250° + x = 360° x = 360° − 250° x = 110°
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### 300iq's blog By 300iq, 6 years ago, translation, • +100 | Write comment? » 6 years ago, # |   +20 "A fat fish can't dangerously eat a fish with smaller weight. Indeed, even if all the smaller fishes eat each other, the resulting fish would be too small. We can conclude that the danger is not greater k−t." How ca...
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# 1: Bonding in Solids¶ ## Example number 1, Page number 1-11¶ In [8]: #importing modules import math from __future__ import division #Variable declaration e=1.6*10**-19; #charge(coulomb) epsilon0=8.85*10**-12; r0=236*10**-12; #equilibrium distance(m) I=5.14; #ionisation energy(eV) EA=-3.65; ...
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# Antenna Parameters Questions and Answers – Effective Aperture This set of Antennas Multiple Choice Questions & Answers (MCQs) focuses on “Effective Aperture”. 1. Effective aperture is the ability of antenna to extract energy from the electromagnetic wave. a) True b) False Explanation: Effective aperture is defined...
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## The B Method for Programmers (Part 1) 16 February 2010 (programming language math correctness) Last month, I had to use Atelier B, an implementation of the B method, for a university assignment. But what is the B method, and what does programming with B look like in practice? I'm going to introduce B from the per...
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Question Video: Using Objects to Decompose Numbers up to 10 in More Than One Way | Nagwa Question Video: Using Objects to Decompose Numbers up to 10 in More Than One Way | Nagwa # Question Video: Using Objects to Decompose Numbers up to 10 in More Than One Way Mathematics • First Year of Primary School There are 10 f...
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The roots of the equation 3x - 4sqrtx - 4 = 0 a. 1/sqrt3 , 4 : Quant Question Archive [LOCKED] Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack It is currently 20 Jan 2017, 06:47 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can...
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Actuarial Outpost ADAPT solution is weird Register Blogs Wiki FAQ Calendar Search Today's Posts Mark Forums Read FlashChat Actuarial Discussion Preliminary Exams CAS/SOA Exams Cyberchat Around the World Suggestions US PROPERTY AND CASUALTY JOBS #1 07-23-2012, 12:16 AM Kaner3339 Member SOA Join Date: Jun 2011 Locat...
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# The Problem Solving Competition–November 2012 ```The Problem Solving Competition–November 2012 Problem A: Polynomial of which degree? Determine all positive integers n for which there is a polynomial P (x) of degree n, satisfying all of the following conditions: (1) P (k) = k for k = 1, 2, &middot; &middot; &middot;...
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Motivation While Monte Carlo methods have lots of potential applications, we will just name two here as a motivation: 1. Data generation. The generated data can be used for simulation or for visualization purposes. 2. Inference. Infer unknown variables from observations. For the first application, the use of Monte C...
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# Resources tagged with: Factors and multiples Filter by: Content type: Age range: Challenge level: ### There are 106 results Broad Topics > Properties of Numbers > Factors and multiples ### Remainder ##### Age 11 to 14 Challenge Level: What is the remainder when 2^2002 is divided by 7? What happens with differen...
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# Find a bipartition of points using blackbox Suppose given $$n$$ pair of points $$P=\{(p_1,q_1),\dots,(p_n,q_n)\}$$ in the plane that each pair $$(p_i,q_i)\in \mathbb{R}^2$$ can't belong to the same group. We want to partition points into $$K$$ groups such that we minimize function $$f:x\rightarrow \mathbb{R}$$. So w...
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# Closed Interval / Open Interval: Definition Share on Watch the video for an overview and examples of closed, open, half-closed and half-open intervals: ## 1. What is a Closed Interval? In simple terms, a closed interval represents all possible numbers in a particular set. For example, the numbers 1, 2, 3, and 4 c...
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# The prison ball Calculate the density of the material that the prison ball is made from if you know its diameter is 15cm and its weight is approximately 2.3kg. With the help of mathematical-physicochemical tables estimate what material the ball is made from. Result h =  1301.534 kg/m3 #### Solution: $D=15 \ cm \...
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× Math for Quantitative Finance # Expected Value in Quant Finance A stock is currently trading at $50. Tomorrow it will announce either good news (and rise to$55) or bad news (and fall to $40). If you believe the probability of good news is 80%, should you buy or sell the stock for$50? Whether you answered the last ...
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Math 647 FALL 2017, Homework HOMEWORK IS COLLECTED ON MONDAYS!!! • Due on Mon, 10/2: 1.2.3, 1.2.4, 1.2.5, 1.2.8, 1.2.11, 1.2.12, 1.5.10, 1.6.3, 1.6.5, 1.6.6. • Due on Mon, 10/9: 2.1.1, 2.1.2, 2.2.2, 2.2.14, 2.2.16, 2.2.17, 2.2.18, 2.3.1, 2.3.3, 2.4.2. • Due on Mon, 10/16: 2.4.3, 2.4.6, 2.4.7, 2.4.8, 2.4.10, 2.5.6, 2....
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# Some dice roll questions relating to probabilities… There is a game I play that utilizes a particular mechanic that I am trying to assess mathematically. Me being a layman, I am having some problems figuring out one of the aspects for myself. The basic mechanic works like this: you roll a number of 6 sided dice. An...
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# Asset Turnover Ratio: Explained ## What is it, how to calculate it, formula, why it's important Hey there! As the CFO of my company, I know a thing or two about financial ratios. And today, I’m going to break down one of the most important ones: the asset turnover ratio. Simply put, the asset turnover ratio measur...
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### 3.866 $$\int \frac{1}{(a+b \cosh (c+d x) \sinh (c+d x))^{5/2}} \, dx$$ Optimal. Leaf size=325 $-\frac{32 \sqrt{2} a b \cosh (2 c+2 d x)}{3 d \left (4 a^2+b^2\right )^2 \sqrt{2 a+b \sinh (2 c+2 d x)}}-\frac{4 \sqrt{2} b \cosh (2 c+2 d x)}{3 d \left (4 a^2+b^2\right ) (2 a+b \sinh (2 c+2 d x))^{3/2}}+\frac{4 i \sqrt...
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In these lessons, we will learn how to read and write decimal numbers. ### Reading and Writing Decimal Numbers When reading decimal numbers, read the whole number part as normal, use “and” to represent the decimal point, and continue reading the number as normal, but end with the last place value. If there are no who...
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# Search by Topic #### Resources tagged with Pythagoras' theorem similar to 30-60-90 Polypuzzle: Filter by: Content type: Stage: Challenge level: ### There are 73 results Broad Topics > 2D Geometry, Shape and Space > Pythagoras' theorem ### 30-60-90 Polypuzzle ##### Stage: 5 Challenge Level: Re-arrange the piece...
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# Wave speed equation problem • cyspope In summary: Written in the form of units L/T^2.Now you have your units for the equation. To check that your units are right, you can compare them to the units for velocity, which are L/T. Since the units for a) do not match the units for velocity, this equation is incorrect. In ...
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# How do you write a polynomial function of least degree with integral coefficients that has the given zeros 2, 5/3, -5? $p \left(x\right) = \left(x - 2\right) \left(3 x - 5\right) \left(x + 5\right)$ $p \left(x\right) = 3 \left(x - 2\right) \left(x - \frac{5}{3}\right) \left(x + 5\right)$
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Presentation is loading. Please wait. # WARM – UP 1.Phrase a survey or experimental question in such a way that you would obtain a Proportional Response. 2.Phrase a survey or experimental question. ## Presentation on theme: "WARM – UP 1.Phrase a survey or experimental question in such a way that you would obtain a Pr...
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Mon, Mar 3 ```The Euler Phi-Function Is Multiplicative (3/3) • Last time we showed that if p is prime, then • • • • • • (pk) = pk – pk-1 . Hence by the FTA, we will be able to compute (m) for any m provided that is multiplicative (recall that definition!). To this end, let m and n be relatively prime. We define two se...
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# Boolean Operations in CATIA Here is a quick explanation about Boolean Operations in CATIA and how you can use it in your project. It is hard to do without these techniques and it is always recommended (to beginners) to know how to use them early enough. A Boolean operation is similar to what is taught in Math, in f...
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# Finding the equation of a curve by using the points of intersection of tangent and normal on the X and Y axis and other information. Tangent and normal to a curve at any point $P$ meets $X$ and $Y$ axis at points $A, B$ and $C, D$ respectively. Also center of circle through $O$ (origin), $C$, $P$ and $B$ lies on $x ...
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If $x=\frac{\sqrt{a^{2}+b^{2}}+\sqrt{a^{2}-b^{2}}}{\sqrt{a^{2}+b^{2}}-\sqrt{a^{2}-b^{2}}}$, then prove that $b^{2} x^{2}-2 a^{2} x+b^{2}=0$. Given: $x=\frac{\sqrt{a^{2}+b^{2}}+\sqrt{a^{2}-b^{2}}}{\sqrt{a^{2}+b^{2}}-\sqrt{a^{2}-b^{2}}}$ To do: We have to prove that $b^{2} x^{2}-2 a^{2} x+b^{2}=0$. Solution: $\begin{...
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#### Today's Dragon Tip Display themes Tired of the same look to your Sudoku puzzles? We offer a whole range of puzzle display themes and the ability to devise and add your own ones. All colors, fonts and sizes can be easily customized to suit your taste. When you have mastered the core strategies you can tackle almo...
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# How to Calculate Grades in Excel How can we calculate the grades (A-F) in Excel if we have the test results as numbers? We know that a score of 90% or higher is an A, 80-89% is a B, 70-79% is a C, 65-69% is a D and less than 65% is an F. The first thing we should do is to organize this information in a lookup table...
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# Percent Models Review - Practice, Practice!! 15 teachers like this lesson Print Lesson ## Objective Students will be able to solve real world percent application problems using a percent bar diagram. #### Big Idea Practice makes perfect! This lesson provides students the time to practice their skills on applying...
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Previous ToC Up Next ## 5.1. An Analytic Recipe Alice: Hi Bob! Well, are you ready to derive the distribution function of Plummer's model from first principles? Bob: If we're really going to get to the bottom of this, I insist on using . Let's roll up our sleeves then. Here is the, by now very familiar, potential-de...
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# Algebraic Sequences 43 % 57 % Education Published on November 11, 2008 Author: nora823 Source: slideshare.net ## Description This is a lesson/slideshow presentation I made for my 8th grade PreAlgebra students. Algebraic Sequences Obj. Generate an algebraic expression given part of a sequence. Algebraic Sequen...
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🔍 🔍 ## Credits Walchand College of Engineering (WCE), Sangli Shweta Patil has created this Calculator and 1000+ more calculators! Nishan Poojary has verified this Calculator and 400+ more calculators! ## Surface-volume-ratio of triakis tetrahedron given Edge length of pyramid(b) Solution STEP 0: Pre-Calculation S...
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# How do you simplify 4(1+9x)? The distributive property states that a(b+c)=a⋅b+a⋅c. Let's use this to solve our problem: $4 \left(1 + 9 x\right) = 4 \cdot 1 + 4 \cdot 9 x = 4 + 36 x$ $4 + 36 x$ is our answer.
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# HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board ## 1 Gaj in Square Meter in Odisha In this article, you will learn how to convert 1 Gaj in Square Meter in Odisha. Gaj is one of the most commonly used measurement units used in almost every state of India. People in Indian states refer to gaj fo...
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0 # How to Find the Maximum Distance Between Points on a 3D Object by Veritas Prep How do we find the the two farthest points on a 3D object? For example, we know that on a circle, any two points that are diametrically opposite will be the farthest from each other than from any other points on the circle. Which two p...
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# Algebra2 posted by . Help? 1.2x^2/3+5^1/3=12 2. 6x^6/3-5x^1/3-6=0 • Algebra2 - #1 2x^(2/3) + 5x^(1/3) = 12 , you have a typo let x^(1/3) = y 2y^2 + 5y - 12 = 0 (2y-3)(y+4) = 0 y = 3/2 or y = -4 then x^(1/3) = 3/2 ---- x = 27/8 if x^(1/3) = -4 ----> x = -64 check: if x = 27/8 LS = 2(27/8)^(2/3) + 5(7/8)^(1/3)...
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# Maximum Subarray Sum: Kadane’s Algorithm ## Problem Statement Subarrays are arrays inside another array which only contains contiguous elements. Given an array of integers, the task is to find the maximum subarray sum possible of all the non-empty subarrays. Example: Input: [-3, -4, 5, -1, 2, -4, 6, -1] Output: ...
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# Statistics The father of a junior high school student wants to determine the most popular book among junior high students. Select the sample with the least potential bias. A. A randomly selected group of 10 book sellers B. A randomly selected group of 30 junior high students C. A randomly selected group of 30 juni...
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JEE Topics: Magnetic Lines of Force To describe phenomena of magnetism, magnetic lines are used to represent the force which exists in the surrounding area. These lines are imaginary and do not exist practically. Magnetic field lines of force can also be visualized as streamlines in fluid flow. These lines are used to...
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# NP complete problem Document Sample ``` NPC The tractable problems can be solved by efficient algorithms which are bounded by some polynomial in size of the input. Its running time is O(P(n)), where P(n) is a polynomial in the size of the input n.. The class of all...
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{[ promptMessage ]} Bookmark it {[ promptMessage ]} SME_8e_Ch_08_Section_1 # SME_8e_Ch_08_Section_1 - CHAPTER 8 SECTION 1 CONTINUOUS... This preview shows pages 1–3. Sign up to view the full content. 1 CHAPTER 8 SECTION 1: CONTINUOUS PROBABILITY DISTRIBUTIONS MULTIPLE CHOICE 1. Which of the following represents a...
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# Search by Topic #### Resources tagged with Length/distance similar to Digital Times: Filter by: Content type: Stage: Challenge level: ### There are 24 results Broad Topics > Measures and Mensuration > Length/distance ### All in a Jumble ##### Stage: 3 Challenge Level: My measurements have got all jumbled up! S...
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Courses Courses for Kids Free study material Offline Centres More Store # How to calculate the hypotenuse of the right triangle with one length? Last updated date: 16th Sep 2024 Total views: 399.6k Views today: 9.99k Verified 399.6k+ views Hint: Here, we will use the fact that the given data includes the length of on...
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Average Distance to N Points Solution 1 Let the given points be $A_1,\ldots,A_n.\,$ Choose any diameter $M_1M_2\,$ of the circle. Then, by the triangle inequality, for any point $A_k,\,$ $2=M_1M_2\le M_1A_k+M_2A_k.\,$ Add up the $n\,$ inequalities: $\displaystyle 2n\le\sum_{k=1}^n(M_1A_k+M_2A_k)=\sum_{k=1}^nM_1A_k+\...
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# Kelvin to Reaumur conversion Convert Kelvin to Reaumur (K to °Ré) - Enter Kelvin and then click calculate button. °Ré = (K - 273.15) x 4 / 5 Kelvin (K) ## Kelvin to Reaumur (convert K to °Ré) This tool is a free online tool kelvin to reaumur conversion calculator just enter a value in Kelvin and instantly convert...
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# Difference between revisions of "Cruise control" This page documents the cruise control system that is used as a running example throughout the text. A detailed description of the dynamics of this system are presented in Chapter 3 - Examples. This page contains a description of the system, including the models and c...
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# linearization or linear approximation question I have done this question but when I draw the graph of Lo(x) I dont get a linear function...I get some weird looking graph kinda U shaped. its above f(x) so I think I have the wrong answer.. the question is find the linear approximation of x/sqrt(X+1) at x=0, use the li...
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# Rational Power of Product of Real Numbers Jump to navigation Jump to search ## Theorem Let $r, s \in \R_{> 0}$ be (strictly) positive real numbers. Let $x \in \Q$ be a rational number. Let $r^x$ be defined as $r$ to the power of $x$. Then: $\paren {r s}^x = r^x s^x$ ## Proof Let $x = \dfrac p q$ where $p, q ...
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Finding a polynomial $g$ such that $g^2=f$ for certain $f$ in $\mathbb{F}_{16}$ Let $L = \mathbb{Z}_2[x]/\langle x^4 + x + 1 \rangle$ and $\alpha := [x] \in L$. I want to find $g \in L[y]$ with $g^2 = f$ and $$f = (\alpha^2 + \alpha)y^8 + \alpha y^4 + \alpha^3y^2 + \alpha + 1 ∈ L[y].$$ My starting point is $$(ay^4...
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Excerpts from the Grothendieck-Serre Correspondence Like many fellow mathematicians, I was very sad to hear the news that Alexander Grothendieckpassed away yesterday.  The word “genius” is overused; or rather, does not possess sufficiently fine gradations.  I know quite a few mathematical geniuses, but Grothendieck wa...
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Technical Papers by Vic Asymmetric Primer for Callers by Vic Ceder This paper was originally written for Advanced and Challenge callers, and contains some references to calls on these programs. ### Intro Asymmetric choreography occurs when one half of the square is different than the other half. • Symmetric Chore...
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# Box Plot Explained: Interpretation, Examples, & Comparison In descriptive statistics, a box plot or boxplot (also known as a box and whisker plot) is a type of chart often used in explanatory data analysis. Box plots visually show the distribution of numerical data and skewness by displaying the data quartiles (or p...
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