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1. ## Matrix Formula I have this: A=any square matrix over any field F p(X)=any polynomial over F P=any invertible matrix over F B=inverse(P)AP=P^(-1)AP I need to show that p(B)=inverse(P)p(A)P=P^(-1)p(A)P. How would I prove this? 2. No it looks like what I wrote. 3. Is there anyway to show it more algebraically? ...
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Edit Article # wikiHow to Do Conic Sections Conic sections are an interesting branch of mathematics involving the cutting of a double-napped cone. By cutting the cone in different ways, you can create a shape as simple as a point or as complex as a hyperbola. ### Method 1 General 1. 1 Understand what is special abo...
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## Substitution and Elimination Methods Nathan solves the following system of equations using the elimination method. – 2x + 3y = 6 4.3 – 6y = Question Substitution and Elimination Methods Nathan solves the following system of equations using the elimination method. – 2x + 3y = 6 4.3 – 6y = -12 He chooses to eliminat...
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## Posts Tagged ‘power transmitted’ ### The Mechanical Power Formula in Pulley and Belt Assemblies Saturday, July 29th, 2017 Last time we determined the value for one of the key variables in the Euler-Eytelwein Formula known as the angle of wrap.   To do so we worked with the relationship between the two tensions pr...
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You are Here: Home >< Maths # Edexcel FP1 Thread - 20th May, 2016 watch 1. (Original post by Nikhilm) For proof by induction, what does all the notation (e.g. nEZ+) actually mean? It means that n is a member of the set of positive real numbers {1,2,3,...} edit: integers not just reals lmao 2. (Original post by Nikhil...
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# NCERT Solutions Class 9 Mathematics Solutions for Probability - Exercise 15.1 in Chapter 15 - Probability Question 3 Probability - Exercise 15.1 1500 families with 2 children were selected randomly, and the following data were recorded: Compute the probability of a family, chosen at random, having No girl Also, c...
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## What is the formula for a linear equation? The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it’s pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of...
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# Aptitude - Permutation and Combination - Discussion ### Discussion :: Permutation and Combination - General Questions (Q.No.2) 2. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together? [A]. 360 [B]. 480 [C]. 720 [D]. 5040 [E]. None of thes...
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Wierzycaz 2021-05-01 The average height of a 2 year old boy is 38 inches; an 8 year old averages 56 inches. Use this information to write a linear equation that models the height (in inches), y, in terms of the age (in years), x. Use the linear equation to predict the average height of a 5 year-old boy. i1ziZ Repre...
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# Posterior Distributions In this lesson, we will introduce Posterior Distributions using an example. We'll cover the following ## Learn from Example [It is] a spectacular vindication of the principle that each coin spun individually is as likely to come down heads as tails and therefore should cause no surprise th...
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# Search by Topic #### Resources tagged with Golden ratio similar to Fibonacci Fashion: Filter by: Content type: Stage: Challenge level: ### There are 20 results Broad Topics > Fractions, Decimals, Percentages, Ratio and Proportion > Golden ratio ### Leonardo of Pisa and the Golden Rectangle ##### Stage: 2, 3 and...
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# 79 hours and 57 minutes in hours ## Result 79 hours 57 minutes equals 79.95 hours ## How to convert 79 hours 57 minutes to hours? In order to convert 79 hours and 57 minutes to hours we need to take the minutes part and transform it into hours. We know that 1 minute equals 1/60 hours. Therefore to get the number ...
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Home > Student Questions > counting the number of payments ## counting the number of payments July 10th, 2009 Lots of students have trouble counting the number of payments. I recently answered this question for a student. Here is what I wrote: What if I told you there was a payment at times 1, 2 and 3. How many pay...
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This essay was produced by one of our professional writers as a learning aid to help you with your studies # Example Statistics Essay ## Using the crime survey of England and Wales, examine how experience of crime affects citizen’s opinions of the criminal justice system. What demographic factors influence the relati...
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 Sample Problems > Applications > Stress > fixed_plate # fixed_plate Navigation:  Sample Problems > Applications > Stress > # fixed_plate { FIXED_PLATE.PDE This example considers the bending of a thin rectangular plate under a For small displacements, the deflection U is described by the Biharmonic equation of ...
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Rd Sharma Xi 2020 2021 _volume 1 Solutions for Class 11 Science Maths Chapter 3 Functions are provided here with simple step-by-step explanations. These solutions for Functions are extremely popular among Class 11 Science students for Maths Functions Solutions come handy for quickly completing your homework and prepari...
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# How do you calculate the derivative of an integral How can you calculate $dy/dx$ here? $$y=\int_{2^x}^{1}t^{1/3}dt$$ I get that the anti derivative is $3/4t^{4/3}$, but I don't understand what I'm supposed to do next. $$\int_x^1\sqrt{1-t^2}dt + 2$$ I have no idea how to get there - "the answer"...to what questi...
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# Necessary and sufficient conditions that a cubic equation has three positive real roots Given the cubic equation $$x^3+px^2+qx+r=0$$ What are the necessary and sufficient conditions that this equation has three positive real roots? My attempt: From this answer, the necessary and sufficient conditions that a cubic...
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# Free Essay on Using and Understanding Mathematics Published: 2019-11-18 15:21:53 Categories: Mathematics Pages: 3 Wordcount: 647 words 143 views Ratios are numerical statements that compare numbers regarding their size. That means that the ratios are the quantitative relationship between two numbers which indicat...
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# How to cook a telescope There's a new spin on some old experiments and, yes, you can try some of this at home. Home alone, taking care of the junior maths masters and it's dinner time. So, we'd better whip up a quick mathematical dish. Grab a pot, add some water and gelatine, give it all a quick spin. Voilà! An ins...
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# 10 burgers cost $60. What will 15 burgers cost? 2 by chaddaniels cross multiplication so 10/60$ is equal to 15/x so you have to do cross multiplication to figure out what x is 150/60=90 dollars
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# Rectifier (neural networks) In the context of artificial neural networks, the rectifier is an activation function defined as the positive part of its argument: ${\displaystyle f(x)=x^{+}=\max(0,x),}$ where x is the input to a neuron. This is also known as a ramp function and is analogous to half-wave rectification...
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# Determination of center and radius of circumference Given the general equation of a circumference, we use the perfect square trinomial factorization process to transform it into the reduced equation, and thus determine the center and radius of the circumference. To do so, the general equation must meet two condition...
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> #interest-rate , #finance , #compound-interest , #investment > Determine the Presence value of a USD 10000 payment to be received on January 1 , 2027 if it is now may 1, 2018 and the money was invested at 3% annual interest rate compounded monthly? Dec 17, 2023 # Determine the Presence value of a USD 10000 payment t...
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Project #13508 - Statistic Stats homework 1. A pollster selected 4 of 10 available people. How many different groups of 4 are possible? 2. Your firm has a contract to make 1000 staff uniforms for a fast –food retailer. The heights of the staff are normally distributed with a mean of 69 inches and a standard deviatio...
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Find all School-related info fast with the new School-Specific MBA Forum It is currently 26 Aug 2016, 17:28 ### 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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Introduction • In general, the ratio of a number x to a number y is defined as the quotient of the numbers x and y. • Ratios can be expressed as percentages. To express the value of a ratio as a percentage, we multiply the ratio by 100. Thus, 4/5 = 0.8 = 80% Some Important Properties • If we multiply the numerator a...
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```Date: Wed, 5 Mar 2008 11:43:23 -0500 Reply-To: Robert Feyerharm Sender: "SAS(r) Discussion" From: Robert Feyerharm Subject: interpolating cumulative probabilities to categorical data One of the public health surveys which I'm currently analyzing collects information about the respondents household income. The respon...
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# Fraction (mathematics) File:Cake-quarters.jpg A cake divided into four equal quarters. Each fraction of the cake is represented numerically as 14. It can be seen that two quarters (2 x 14 = 24) is equivalent to half (12) the cake. In mathematics, a fraction is a way of expressing a quantity based on an amount that ...
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Breaking News # 2 Percent Of 40000 2 Percent Of 40000. For example, 2 /100 x 400000 =. Sale price = \$39200 (answer). 2 percent of 40000 equals to: 1) what is 2% of 40000? 1) what is 2% of 40000? % / 100 = 2 / 400000. % / 100 = part / whole replace the given values: ## 2% of 790,000 = 15,800: Use again the same pe...
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## Basic College Mathematics (10th Edition) Estimate: 20 $\times$ 10 = 200 $ft^{2}$ Exact = 252 $ft^{2}$ We need to find the Area (which is rectange). Area = length $\times$ width Let's First Find Estimate: length = 18 (Round off to) 20 width =(9+5) = 14 (Round off to) 10 Estimate: Area: 20 $\times$ 10 = 200 $ft^{2}$ ...
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# The $I_{3322}$ Inequality Bell inequalities are equivalent if you can map one to another by 1. Relabelling the parties (in this case A and B) 2. Relabelling the inputs (in this case 1,2,3) 3. Relabelling the outputs (in this case -1 and 1 for Śliwa version, 0 and 1 for the Pál and Vértesi version, and undefined for...
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# How Many Plants Do You Need for Your Space? ## How Many Plants Do You Need? Photo by Thinkstock How many flowers or plants do you need for your garden bed or space? Avoid the nursery and find out that you bought too many flowers or plants—or, discover that your number fell short of the look you want in the garden...
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# What is the definition of 'within one' in mathematics I need help with the definition of "within 1": • If $x = 8$ and $y = 7$, then $x$ is "within 1" of $y$. • If $x = 8$ and $y = 9$, then $x$ is "within 1" of $y$. • If $x = 8$ and $y = 8$, is $x$ still "within 1" of $y$? It's my understanding that this would st...
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0 # What is 25 percent more then 52? Updated: 9/20/2023 Wiki User 11y ago 25%=1/4, so your answer is 1/4 of 52 + 52. 52/4=13. 52+13=65. So 25% more than 52 is 65. (This answer should be true as long as either I didn't make a mistake, or the 25% is 25% of 52 and not another number.) Wiki User 11y ago Study guid...
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• Oct 26th 2007, 08:31 AM runner07 how would you do this.... Find the largest area of a rectangle inside a circle with a radius of 4. • Oct 26th 2007, 10:01 AM ticbol It should be a square. :) Draw the figure on paper, as I cannot show it here. Let x = width of the rectangle And y = the length Draw any diagonal. This...
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Combinatorics is an area of discrete mathematics that studies collections of distinct objects and the ways that they can be counted or ordered, or used to satisfy some optimality criterion. The most basic ideas in combinatorics include: factorials The number of possible arrangements of ${\displaystyle n}$ distinct it...
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# Lesson 6: Fractions in Everyday Life – Problem Solving Introduction to Fractions Unit Plan - Year 1 and Year 2 | Lesson 6 | 60 minutes A 60 minute lesson in which students will solve simple word problems involving fractions. #### Common Core State Standards alignment Grade 1 > Standards for Mathematical Practice ...
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# A number is divided into two parts such that one part is six more than the other. If the two parts are in a ratio $6:5$, find the small part. Given : A number is divided into two parts such that one part is six more than the other. The two parts are in the ratio of $6:5$. To find : We have to find the small part...
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# math- please help! posted by anonymous Please help with these 5 problems! I have the solutions but I don't understand how to get them! 1. Perform the indicated operations and simplify: [(2/x)-1]/(x^2 -4) 2. Subtract and simplify: [12/(x^2 -4)] - [(3-x)/(x^2 + 2x)] 3. Perform the indicated operations and simplify...
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# How do you simplify polynomials? You can simplify polynomials only if they have roots. You can think of polynomials as numbers, and of monomials of the form $\left(x - a\right)$ as prime numbers. So, as you can write a composite numbers as product of primes, you can write a "composite" polynomial as product of monom...
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## Puzzle : Hercules and Hydra Well, without any ado, let me directly dive into the problem at hand. This interesting problem was given to me by Ramprasad. As usual, he is the guy who brings in interesting problem with interesting solutions. Problem : Most of you know the legendary battle between Hercules and Hydra. ...
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# Melbourne University Mathematics and Statistics Society Solution for 2.5 Ship's Time (Answer = USS HOUSATONIC) This puzzle consists of a series of clock faces, each with a pair of decimal numbers underneath. Some of the clocks are marked with the letter "S" but most have underscores. The first thing you might noti...
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A few days ago english # Undefined slope what do I do next? I am solving the equation for another line my slope is solved to be undefined my points were (4, 1) and (4, -3), now how do I write the equation of the line? A few days ago dr_say Since the undefined slope means that it is a vertical line the equation for ...
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# Disjoint Events - Two events are said to be disjoint (or mutually exclusive) if they cannot occur both at the same time. That is the probability of both of them occurring simultaneously is zero. Given two events A and B we express this mathematically as, P(A∩B) = 0, that is, if we were to draw the sample space as...
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SOLUTION: Woody Woodpecker picked at a 17m wooden pole until it cracked and the upper part fell, reaching a point on the ground 10m from the foot of the pole. Since the pole had not complete Algebra ->  Algebra  -> Pythagorean-theorem -> SOLUTION: Woody Woodpecker picked at a 17m wooden pole until it cracked and the u...
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The OEIS is supported by the many generous donors to the OEIS Foundation. Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discove...
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## Factors of 19981 Factors of 19981 are the integers that can divide 19981 without producing remainders. Factors of 19981 can also be referred to as the divisors of 19981. In this guide, you will learn how to find the factors of 19981. The Factors of 19981 are: 1,13,29,53,377,689,1537,19981 How to find the factors of...
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This site is supported by donations to The OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A181307 Triangle read by rows: T(n,k) is the number of 2-compositions of n having k columns with only nonzero entries (0<=k<=floor(n/2)). A 2-composition of n is a nonnegative matrix with...
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# The function $\varphi(u)=\sup_{x\in[0,1]}(f(x)+u\ g(x))$ is Lipschitz continuous Let $f$ and $g$ two function bounded such that : $$f: [0,1] \to \mathbb{R}$$ $$g: [0,1] \to \mathbb{R}$$ Let : $$\varphi(u)=\sup_{x\in[0,1]}(f(x)+u\ g(x)),\quad u \in \mathbb{R}$$ Show that $\varphi$ is Lipschitz continuous. We have to...
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# For any function f from a countable subset M of $\mathbb{R}$ there exists a sequence of continuous functions that converges pointwise to f on M. Problem: Prove that for any function f from a countable subset M of $\mathbb{R}$ there exists a sequence of continuous functions {f_n} that converges pointwise to f on M. ...
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# R Kelly Who Is Posted on If you are looking for the answer of r kelly who is, you’ve got the right page. We have approximately 10 FAQ regarding r kelly who is. Read it below. ## who is Dr. Howard Kelly?​ Ask: who is Dr. Howard Kelly?​ Explanation: Howard Atwood Kelly (February 20, 1858 – January 12, 1943), M.D....
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# Thread: Mean/variance of random variable...hmmmm 1. ## Mean/variance of random variable...hmmmm So here is the problem: " The mean of a random variable, x, is 19 and its variance is 5. What is the mean, variance and standard deviation of y where y=7x-2? " I'm new to random variable statistics, so I'm having troub...
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If M is a positive integer, then M^3 has how many digits? 1) : DS Archive Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack It is currently 21 Jan 2017, 22:05 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your perfor...
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# Inferential Data Analysis - PowerPoint PPT Presentation PPT – Inferential Data Analysis PowerPoint presentation | free to view - id: 1c527b-ZTg3Y The Adobe Flash plugin is needed to view this content Get the plugin now View by Category Title: ## Inferential Data Analysis Description: ### Inferential statistics...
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• NEW! FREE Beat The GMAT Quizzes Hundreds of Questions Highly Detailed Reporting Expert Explanations • 7 CATs FREE! If you earn 100 Forum Points Engage in the Beat The GMAT forums to earn 100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Tha...
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Introduction to Statistics What is a Statistic? • Statistics has been defined differently by different authors and each author has assigned new limits to the field which should be included in the scope of statistics • Seligman, defines “Statistics is a science which deals with the method of collecting, classifying, p...
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Maximize product of absolute index difference with K • Difficulty Level : Medium • Last Updated : 26 Jul, 2021 Given an array A[] consisting of N integers, the task is to find the maximum possible value of K, such that K * |i – j| <= min(Ai, Aj), where (0 ? i < j < N). Given expression, k * |i – j| <= min(Ai, Aj) ca...
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451-102 Surveying for Builders Document Sample ``` CE-209 Fundamentals of Surveying Lecture 4 Angle Measurement Maps and Plans Background Basic Computations Geometrical Concepts Errors and Statistics Distances coordinates Angles Measurements ...
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# Shear force and bending moment Bendingmomentdiagram offers a range of engineering tools including a free bending moment diagram calculator, moment of inertia calculator and tutorials. Chapter 4 shear forces and bending moments 41 introduction consider a beam subjected to transverse loads as shown in figure, the defl...
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# What will be the Value of (X+Y)/X2? If The sum of two positive numbers is 20% of the sum of their squares and 25% of the difference of their squares. If the numbers are X and Y then X + Y is equal to- X2 1. 1/3 2.   3/8 3.   2/9 4.   1/4 Monis Rasool Professor Asked on 9th October 2015 in Explanation:- The sum of ...
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# Quarter circle perimeter The Circumference (perimeter) of a circle is calculated using C = 2*pi*r, where pi is approximately 3.1416 and r is the radius measure of the circle. A quarter. You have two straight sides that both measure 3, so you add 4.71 + 3 + 3 = 10.71 inches. So, your perimeter of your quarter circle ...
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# Maximizing #products with dynamic programming Ok so we have lets say 2 big wooden stakes, each has a length of $2$ $meters$. Our goal is to create as many photo frames as possible. Each photo frame is consisted of $2\times50cm$ pieces and $2\times30cm$ pieces. I want to create a dynamic programming recursion formu...
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# importance sampling monte carlo in r (1) Any probability density function should integrate to 1. Could someone please confirm if my line of thought is correct? I've created a trivial example edits done, pdf = probability density function, IS = importance sampling. Monte Carlo Sampling 3 4 Importance Sampling Our goa...
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GMAT Question of the Day - Daily to your Mailbox; hard ones only It is currently 20 Aug 2018, 08:11 ### 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. Customize...
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# 0.3 Fast fourier transform (fft)  (Page 2/2) Now for the fun. Because $N=2^{L}$ , each of the half-length transforms can be reduced to two quarter-length transforms, each of these to twoeighth-length ones, etc. This decomposition continues until we are left with length-2 transforms. This transform is quitesimple, in...
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× Back to all chapters # Geometry Warmups Mathematics is filled with shapes that are kaleidoscopic in variety. Wielded since ancient times, the power of geometry helps us examine and measure these shapes. # Geometry Warmups: Level 4 Challenges Let $$ABC$$ an equilateral triangle, $$P$$ a point inside the triangle s...
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## Factorising Differences of Powers The "Difference of squares" $x^2-y^2=(x-y)(x+y)$ is only one of a sequence of important factorisation. In fact $x^n-y^n$ factorises for all positive $n$ with $(x-y)$ as a factor, since when $x=y$ , $x^n-y^n=0$ . In fact $x^3-y^3=(x-y)(x^2+xy+y^2)$ $x^4-y^4=(x-y)(x^3+x^2y+xy^2+y^3...
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# Thread: Distance Rate Time Word Problem 1. ## Distance Rate Time Word Problem Im not quite sure how to set this word problem up: Two boats leave simultaneously from the same port. One travels due north and the other travels due west. The northbound boat travels 5 mph faster than the eastbound boat, and after 2 hou...
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HW10-Solutions # HW10-Solutions - STAT 101 Agresti Homework 10 Solutions... This preview shows pages 1–2. Sign up to view the full content. STAT 101 - Agresti Homework 10 Solutions 12/2/10 Chapter 12 12.1. The response variable is the number of firefights reported. The explanatory variable was branch of service and ...
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# The sensitivity of the galvanometer sensitivity= θ/i ## The Attempt at a Solution That's the answer in my text book: Sensitivity = θ/i = 60/30 = 2 deg/mA But I wonder why it used the angle 60 (the angle between the coil face and the field lines) instead of the angle 30 (the angle between the normal to the coil an...
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A Key to Understanding Math I've tutored in math, science, history and English; of these, I love math the most. One of my nephews recently needed help in working a "word problem" on his math homework. As we discussed the problem, it became apparent to me that he has been doing most of his math mechanically without tru...
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# Multiplying fractions Home -> Tutorials -> Multiplying fractions A fraction represents a part of a whole. It is made up of an integer numerator (the top number) and a non-zero integer denominator (the bottom number). ## To multiply two fractions: 1. Multiply the numerators. 2. Multiply the denominators. 3. Reduce...
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# Bye Standard I won’t be writing new blog posts here anymore. All the past blog posts and static pages will be available in read-only format (i.e. no new comments can be made on this website). # Richert Theorem Standard In 1852, Chebyshev proved the Bertrand’s postulate: For any integer $n>1$, there always exis...
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# 6.1: What is Probability $$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcomman...
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# Adding integers number line pdf 2019-09-23 08:30 Directions: Draw tiles onto below mats in order to model given problems (you may use signs for positives and signs for negatives: Adding Two Positives: 1. Represent 2 5 in the mat below.Name: Super Teacher Worksheets Adding Integers Move right on a number line to add...
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# Dot Product – Definition, Types, Properties, and Solved Examples Finding solutions to certain problems is not always with a simple multiplication of two or more terms. The difference arises when a term represents more than just a number. Vectors are such terms that represent two factors, and not just one numerical....
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Monday May 2, 2016 # Homework Help: Math Posted by howard on Sunday, December 30, 2012 at 11:46pm. can you help i dnt know what to do so could you tell me how to solve it 1. every weekend, Phil drives from his home to his favorite amusement park, a distance of 60 miles. a. If he averages 40 mph for the first half ...
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## Monday, January 28, 2013 ### No. 35 - Depth of Binary Trees Question 1How do you get the depth of a binary tree? Nodes from the root to a leaf form a path. Depth of a binary tree is the maximum length of all paths. For example, the depth of the binary tree in Figure 1 is 4, with the longest path through nodes 1, 2...
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# Polynomial An expression of the form a$$_{0}$$x$$^{n}$$ + a$$_{1}$$x$$^{n - 1}$$ + a$$_{2}$$x$$^{n - 2}$$ + a$$_{3}$$x$$^{n - 3}$$ + ..... + a$$_{n}$$ where a$$_{0}$$, a$$_{1}$$, a$$_{2}$$, a$$_{3}$$, ....., a$$_{n}$$ are given numbers (real or complex), n is a non-negative integer and x is a variable is called a po...
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• Graphing Linear Equations and Inequalities At its most basic level, a linear equation is a function with variables and constants. These variables include x, y, or often times both. There are a handful of ways to write linear equations: • Point-slope form • Slope-intercept form • Standard form The type of form det...
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# Homeschool Math Can Be Fun and Games Finding ways to make math fun and interesting can be difficult. Children need to practice certain skills in math to become competent but doing the same drills again and again isn’t much fun. However, making math fun can be as easy as adding a few games into your daily math routi...
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### Logosquares Ten squares form regular rings either with adjacent or opposite vertices touching. Calculate the inner and outer radii of the rings that surround the squares. ### Shape and Territory If for any triangle ABC tan(A - B) + tan(B - C) + tan(C - A) = 0 what can you say about the triangle? ### So Big One...
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FutureStarr 30 Percent of 16 ORR ## 30 Percent of 16 via GIPHY P2P loans have seen a surge of popularity over recent years. As they have, they have helped a huge number of people have access to capital. This might sound like a healthy market, but not everyone is happy about the current state of things. ### Calcula...
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# Troops The route is long 147 km and the first-day first regiment went at an average speed of 12 km/h and journey back 21 km/h. The second day went second regiment the same route at an average speed of 22 km/h there and back. Which regiment will take route longer? Result #### Solution: We would be pleased if you ...
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## 10645 10,645 (ten thousand six hundred forty-five) is an odd five-digits composite number following 10644 and preceding 10646. In scientific notation, it is written as 1.0645 × 104. The sum of its digits is 16. It has a total of 2 prime factors and 4 positive divisors. There are 8,512 positive integers (up to 10645...
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# Proof help 1. Mar 10, 2005 ### Kamataat This isn't homework or anything. I'm just interested in learning to prove things in mathematics, so I took a piece of paper and did the following: For every a < b it is true that a < (a+b)/2 < b (1). First I separated the inequality: a < (a+b)/2 and (a+b)/2 < b. Then I did ...
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# Analytic Continuation of the Riemann Zeta Function In the study of analytic number theory, the Riemannn zeta function $\zeta(s)$ is a frequently used tool to study number-theoretic objects. Originally, $\zeta(s)$ is defined as $\zeta(s)=\sum_{n=1}^\infty{1\over n^s}\tag1$ To determine its convegence, let's conside...
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# Integers ## Integers include positive whole numbers, negative whole numbers, and zero. The “set of all integers” is often shown like this: Integers = {… -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, …} The dots at each end of the set mean that you can keep counting in either direction. The set can also be shown as a numb...
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In this post we will learn how to add numbers with 6. After the concept we will solve some practice questions which will clear your doubts and reinforce the lessons for your examinations. All the study material prepared by us are according to USA and Canada Math Curriculum. All we have tries to make the course little ...
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# Special Theory of Relativity and Lorentz T. question ## Homework Statement Particle mu was created in the atmosphere and traveled 2km relative to earth with a speed of 0.8c. Particle e was created in the same time and traveled parallel to mu with the speed of 0.6c. How much distance mu traveled relative to e? ## ...
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# elliptical orbit equation x 2 From a practical point of view, elliptical orbits are a lot Consider a satellite with mass Msat orbiting a central body with a mass of mass MCentral. Since gravity is a central force, the angular momentum is constant: At the closest and furthest approaches, the angular momentum is perpe...
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# Find constants of function I have this equality : $$f(x)=\frac{9}{(x-1)(x+2)^2}$$ I am required to find the constants A, B and C so that, $$f(x) = \frac{A}{(x-1)} + \frac{B}{(x+2)} + \frac{C}{(x+2)^{2}}$$ How do we go about solving such a question? I am not sure on how to solve such questions. Approach and Hint...
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# How Do Multilayer Chip Resistors Work? The world of SMDs – meaning Surface Mounted Devices – can be challenging, especially for someone who didn’t pay attention to Physics lessons while in school. Briefly, an SMD is an electronic device produced through mounting electronic circuits onto the surface of a printed circ...
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How to generate random shapes given a specified area.(R language).? My question is this.. I am working on some clustering algorithms.. For this first i am experimenting with 2d shapes.. Given a particular area say 500sq units .. I need to generate random shapes for a particular area say a Rect, Square, Triangle of 5...
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Chinese Remainder Theorem quiz question not right? Why is answer 2 not right? To apply Chinese Remainder Theorem to solve a system of modular equations all the moduli have to be pairwise relatively prime. Given the following system of modular equations: $$x\equiv 3\pmod 3$$ $$x\equiv 5\pmod 9$$ $$x\equiv 4\pmod 5$...
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Concept # Équation différentielle homogène Résumé A differential equation can be homogeneous in either of two respects. A first order differential equation is said to be homogeneous if it may be written where f and g are homogeneous functions of the same degree of x and y. In this case, the change of variable y = ux ...
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How Cheenta works to ensure student success? Explore the Back-Story # Triangle Area Problem | AMC-10A, 2009 | Problem 10 Try this beautiful problem from Geometry based on Area of Triangle. ## Area of Triangle - AMC-10A, 2009- Problem 10 Triangle $A B C$ has a right angle at $B$. Point $D$ is the foot of the altitud...
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# Work, Heat, And Energy Here, we’ll take a closer look at the concepts and ideas of heat, work, and energy. Heat – Heat is the energy being transferred from hot objects to cold objects. Onsego ## Online GED Classes ### Get a GED Diploma quickly. It doesn’t matter when you left school. ##### Bite-size video lesso...
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# If $\;z_{1}=2-i\;,z_{2}=1+i\;$ find $\;|\large\frac{z_{1}+z_{2}+1}{z_{1}-z_{2}+i}|$ $(a)\;0\qquad(b)\;1\qquad(c)\;\sqrt{3}\qquad(d)\;\sqrt{2}$ Answer : $\sqrt{2}$ Explanation : $\;z_{1}=2-i\;,z_{2}=1+i\;$ Therefore , $\;|\large\frac{z_{1}+z_{2}+1}{z_{1}-z_{2}+i}|= | \large\frac{(2-i)+(1+i)+1}{(2-i)-(1+i)+i}|$ $= |\...
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