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Web Results ## Congruence (geometry) en.wikipedia.org/wiki/Congruence_(geometry) In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. ## Congruent Shapes - Basic mathematics www.basic-mathematics.com/congruen...
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Related Tags array # How to reverse the order of elements of the array Ravi ## Overview Consider that we’ve been given an array and know its size. Now, we want to write a function that reverses the order of elements present at odd indices of the array. Example 1: • Input: arr=[1,2,3,4,5] • Output: [1,4,3,2,5] E...
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Year 6 Algebra Eight Superb Teaching Tips! Year 6 algebra teaching tips with engaging worksheets and practise questions! National Curriculum – Year 6 Algebra In your students final year of primary education, a new topic year 6 algebra is introduced. Let’s make that introduction a little easier with these top tips fo...
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ERROR: type should be string, got "https://bestqualitywriters.com/mathematics-homework-help-5910/\n\nCalculus Analysis Mathematics Question\n\n1. We dene a sequence (an), n in N recursively by\n\na_1 = -2 and a_(n+1) = -sqrt( 4 -a_n)\n\nNote that (an) n in N is well-defined and we have an < 0 for all n in N\n\nA. Show that (an), n in N is decreasing and bounded below.\n\nHint: Show that -3 < an+1 < an, for all n in N by induction.\n\nB. Show that (an) n in N converges. Moreover, compute lim n->oo. You can use part 1, even if you did not solve it.\n\n2.Let (an) n in N be a bounded sequence. We set L = lim sup( an); l = lim inf (an):\n\nA. Show that L; l belong to R.\n\nB. Show that for all ϵ > 0, there exists n0 belong to N such that for all n > n0, we have l – ϵ < an < L + ϵ: You can use part 1, even if you did not solve it. Hint: Use the definition of lim sup; sup; lim inf; inf.\n\n3.Let (an) n in N be a sequence such that lim n->oo (an) = 0: Show that for every ϵ > 0, there exists a subsequence (an(k)) k belong to N such that the series Σ1 {k=1,oo} an(k) converges and |Σ1{k=1,oo} an(k)| < ϵ: Hint: Show that there exists 0 < r < 1 such that Σ1{n=1,oo} rn = r/(1-r) < ϵ: Then construct appropriate (n(k)) k belong to N inductively.\n\n4.Let (an) n in N, (bn) n in N be sequences such that |an+1 – an| < bn\n\nfor all n in N and the series Σ1{n=1,oo} bn converges. Show that THE SEQUENCE (an) n in N converges.\n\n5.Dene a function f : R {0} -> R by f(x) =( x^2 – 1)/x\n\nShow that f is continuous on the domain using the ϵ- g denition of continuity. For this problem, it is forbidden to use results on continuity from the textbook and lectures.\n\nWhy US?\n\n100% Money Back\n\nCheap Essay Writing\n\nDo my Assignment\n\nOrder custom essay\n\nSample Essays\n\nCustom term paper\n\nWrite My Research Paper\n\nAffiliate program\n\nCustom essay\n\nResearch paper\n\nWrite my essay\n\nWrite my paper\n\nEssay writers\n\nBecome a Freelance Writer"
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# Test: Introduction To Relations ## 20 Questions MCQ Test Mathematics (Maths) Class 12 | Test: Introduction To Relations Description Attempt Test: Introduction To Relations | 20 questions in 20 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mathematics (Maths) Class 12 for JEE Exam |...
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# NCERT Solutions for Class 9 Maths in Hindi & English Mediums NCERT Solutions for Class 9 Maths helps you to prepare all the NCERT Maths Textbook Concepts of Class 9 easily. Students can download the Chapterwise NCERT Solutions of Class 9th Maths by tapping on the quick links available. By using our NCERT Solutions f...
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# Khan/khan-exercises Clean up minor nits. Summary: data-form integer is redundant when decimal is specified Test Plan: none Reviewers: tom, eater Reviewed By: eater CC: eater Differential Revision: http://phabricator.khanacademy.org/D1039 cbhl committed Jan 18, 2013 1 parent e0c44db commit bd7192e2a5132701e3d54...
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+0 # I need help 0 126 3 What is the answer    this is very important Apr 14, 2020 #1 +1 You have one square that is 11 m on a side.  Its area is 112 You have four quarter circles which is equivalent to one whole circle with radius 5.5 m.  Its area is 3.14 x 5.52 Figure up those two areas and subtract the circl...
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# Physics A worker pushes a crate horizontally across a warehouse floor with a force of 245 N at an angle of 55 degrees below the horizontal. How much of the worker’s force is not used to move the crate? 200.69 n 419.95 n(my choice/guess) 357.71 n 191.32 n You stand in top a building 44 m talk with a water ballon. ...
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This site is supported by donations to The OEIS Foundation. "Email this user" was broken Aug 14 to 9am Aug 16. If you sent someone a message in this period, please send it again. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A209879 RATS: Reverse Add Then Sort the digits applied to previous ...
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Q: How do you convert 184 centimeters to feet? A: To convert centimeters to feet, note that there are 30.48 centimeters in one foot. Divide 184 centimeters by 30.48 to arrive at the equivalent value in feet. Keep Learning 1. Record your centimeter value to start For your specific equation, you start by writing (o...
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# Yahtzee game, probability of getting full house,4 of a kind In the game of Yahtzee, five dice are tossed simultaneously. Find the probability of getting a. full house b. 4 of a kind Bases on wikipedia Full House = A three-of-a-kind and a pair Four-Of-A-Kind = At least four dice showing the same face And total ...
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1. ## Solving Quadratic and Linear Equations can you please answer these questions simply and simple workings out pleeeeaseee and tell me the answer! 1) Solve 5(x+1)=3x + 12 2)facotorise x(squared) + 5x + 4 3) rearrange the forumla to make x the subject y = b- ax(squared) 4) solve x(squared) + 5x + 4 = 0 2. Origi...
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# Homework picture solver Keep reading to learn more about Homework picture solver and how to use it. Math can be difficult for some students, but with the right tools, it can be conquered. ## The Best Homework picture solver The most common way to solve for x in logs is to formulate a log ratio, which means calcula...
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# show that A(T) is a group under operation of composition of functions Problem: Let T be a nonempty set and A(T) the set of all permuations of T. Show that A(T) is a group under the operation of composition of functions. Permutation of the set T is the bijective function $f: T \rightarrow T$ For A(T) to be a group...
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Abacus Maths | Vedic Maths Towards Better & Brighter Future # VEDIC MATHS : MULTIPLICATION In Vedic maths,  there are some very easy ways of multiplying numbers by specific numbers, which makes the whole multiplication process a very interesting one. In Vedic maths multiplication there are two types of techniques. ...
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Conversion formula The conversion factor from feet per second to kilometers per hour is 1.0972799999991, which means that 1 foot per second is equal to 1.0972799999991 kilometers per hour: 1 ft/s = 1.0972799999991 km/h To convert 18 feet per second into kilometers per hour we have to multiply 18 by the conversion fa...
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# From Euclid to Fermat · Uncategorized Primitive Pythagorean Triples, or PPT’s, are non-trivial integer solutions to the Pythagorean equation z2 = x2 + y2 where we assume that 0<x<y<z, and that x, y and z are co-prime. Euclid’s formulae allow PPT’s to be generated using 2 (positive integer) parameters, usually deno...
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# Introduction¶ This tutorial should take at most 3-4 hours to fully work through. You can read it in HTML or PDF versions, or from the Sage notebook click Help, then click Tutorial to interactively work through the tutorial from within Sage. Though much of Sage is implemented using Python, no Python background is ne...
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# Two-square cipher: Wikis Note: Many of our articles have direct quotes from sources you can cite, within the Wikipedia article! This article doesn't yet, but we're working on it! See more info or our list of citable articles. # Encyclopedia The Two-square cipher, also called double Playfair, is a manual symmetric ...
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# Automated interpolation formula for Excel: Define excel interpolate function & use it forever Interpolation is a way to estimate values between two points of a data set. Most of the real-world data are available as discrete points. Interpolation comes handy if you want to estimate the data between two points. The mo...
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Sunday, March 16, 2008 At r% interest compounded annually, \$400 earns \$63.05 interest in 3 years. r = ?? Developing Greater "Interest" in Algebra... SILLY RIDDLE OF THE WEEK Why were the Romans so good at algebra? You have to think outside the box and be in the mood for this groaner! Of course you've probably seen...
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Longest Subsequence Problem Leetcode Problem 1143 Given two strings text1 and text2, return the length of their longest common subsequence. It is known as longest subsequence problem. A subsequence of a string is a new string generated from the original string with some characters(can be none) deleted without changi...
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# What can be said about the relationship between the complex numbers $\lvert z\rvert^n$ and $\lvert z^n\rvert$? I've been playing around with this for a while without much progress. More precisely, I suppose, I'd like to know if one always less than or equal to the other? The fact that one never sees this in the usua...
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10. If the HCF of x2-x-6 and x2 + 9x + 14 is (x + m), then the value of m is:​ Question 10. If the HCF of x2-x-6 and x2 + 9x + 14 is (x + m), then the value of m is:​ in progress 0 2 weeks 2021-09-10T19:31:18+00:00 2 Answers 0 views 0 hope you will understand that 2. Step-by-step explanation: x^2-x-6 = (x+2)(x-3...
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Books Books Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third. Elements of Geometry and Conic Sections - Page 37 by Elias Loomis - 1857 - 226 pages ## A Textbook on Sheet-metal Pattern Drafting, Volume 1 Metal-work - 1901 - 548 pages ...example, the three numbers...
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It is currently 27 Jun 2017, 15:49 ### 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 questions that match your level based o...
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210,630 [Math.]  Two consecutive sums of consecutive numbers: 3481+…+3540 = 3541+…+3599 = 210,630. 212,625 [Math.]  212,625 = 17×35×53×71. 213,018 [Math.]  213,018,248,521 = (213,018+248,521)2 = 461,5392 and 289,940,248,521 = (289940+248521)2 = 538,4612 and 461,539+538,461 = 1,000,000. 213,444 [Math.]  213,444 =...
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# Homework Help: Combining two equations help 1. May 19, 2007 ### music_lover12 How do I combine these two equations? Fc=mv(squared)/r Fg=qvb 2. May 19, 2007 ### cristo Staff Emeritus You need to make an effort yourself, and furthermore, defined your symbols. For example, on the LHS of each equation, you have Fc...
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http://www.wolframalpha.com/input/?i=5+%2B+%286.7a%29%2B+%28a+%5E+0.8%29 What does "imaginary part" mean? Imaginary numbers are those which are defined as the following: $$\sqrt{-1} = i$$ In yours it says $0i$ which just evaluates to $0$, essentially there is no imaginary part. Wolfram Alpha is putting it in a for...
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# How do you find the slope & y-intercept of the equation y = -3x + 9? Dec 7, 2015 The slope is -3 The y-intercept is 9 #### Explanation: The slope is the rate at which y changes with x. In this equation the rate is -3x. So for every 1 unit of x, y decreases by 3. The y intercept is the point where x=0. In this ca...
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# SAT Skills Insight Next Tests: 12/5 , 1/23 #### Skills needed to score in this band SKILL 1: Recognize and use the following: — Simple inscribed and circumscribed figures — The Pythagorean Theorem — Coordinate geometry (e.g., slope calculations) — Parallelism and perpendicularity — Two- and three-dimensional figur...
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# ArithExpr - • If the variable on the left-hand side is a double but the expression on the right is an int the variable gets set to an int – val This preview shows pages 1–8. Sign up to view the full content. Arithmetic Expressions Addition (+) Subtraction (-) Multiplication (*) Division (/) Integer Real Number Mod ...
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## What is the half life equation for a first order reaction? Zero-Order Reactions Zero-OrderFirst-Order integrated rate law[A] = −kt + [A]ln[A] = −kt + ln[A] plot needed for linear fit of rate data[A] vs. tln[A] vs. t relationship between slope of linear plot and rate constantk = −slopek = −slope half-lifet1/2=[A]02...
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Chapter 9 Section 3: Acceleration 1 / 15 # Chapter 9 Section 3: Acceleration - PowerPoint PPT Presentation Chapter 9 Section 3: Acceleration. Key concepts: What kind of motion does acceleration refer to? How is acceleration calculated? What graphs can be used to analyze the motion of an accelerating object? Key term...
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All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars perplexus dot info Burning ropes (Posted on 2002-03-28) You have two ropes. You know that each rope takes one hour to burn from one end to the other, but that the burning does not take place at a constant rate (i.e. half the rope may b...
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# Directions: Each of the questions given below consists of a question and 2 statements numbered I and II. You have to decide whether the data is sufficient to answer the question. Read both Statements carefully and then answer the questions.What will be the selling price of the dishwasher to make a profit of 25%?State...
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# Binary Search Tree (BST) Updated: ⚠️ This post was created when I was in high school and is no longer maintained. ## 1. Binary search recap algorithm BinarySearch(A, key, start, end): if start < end then mid := floor((start + end) / 2) if key == A[mid] then return mid if key < A[mid] then BinarySearch(A, key, sta...
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# Difference between revisions of "2020 AMC 10A Problems/Problem 12" ## Problem Triangle $AMC$ is isoceles with $AM = AC$. Medians $\overline{MV}$ and $\overline{CU}$ are perpendicular to each other, and $MV=CU=12$. What is the area of $\triangle AMC?$ $[asy] draw((-4,0)--(4,0)--(0,12)--cycle); draw((-2,6)--(4,0)); ...
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RES 341 chapter exercise 8.46 # RES 341 chapter exercise 8.46 - grams with 90 percent... This preview shows page 1. Sign up to view the full content. 8.46 A random sample of 10 miniature Tootsie Rolls as taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were 3.087 3.131 3.241 3....
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Hello and welcome to math terms which begin by the letter S. It is our S page of our math dictionary that is located at the bottom of the page. • Sales Tax Taxes are imposed for selling an item, and is based on the purchase price, expressed in a percent. • The same side exterior angles are angles that are located outs...
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# Lesson video In progress... Hello, my name is Mrs. Behan. And for this lesson I will be your teacher. In this lesson, we will learn to add and subtract 1000 from other numbers. I'm sure you are already fantastic at adding and subtracting two digit and three digit numbers. Well, in this lesson, we'll start to wo...
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Recall the "normal" probability distribution: $$\qquad\qquad{\rm gaussian}(x)=\frac{1}{\sigma\sqrt{2\pi}}{\rm e}^{\textstyle-\frac{(x-\mu)^2}{2\sigma^2}}$$ In [1]: def gaussian(x,mu=0.,sigma=1.): return exp(-(x-mu)**2/(2.*sigma**2))/(sigma*sqrt(2.*pi)) In [2]: x=arange(-5,5.1,.1) y=gaussian(x) plot(x,y) xticks(range(...
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### Mastering the Multiplication Table: Unlocking Mathematical Potential The multiplication table is a fundamental tool in mathematics that serves as the foundation for various mathematical operations. Understanding and mastering the multiplication table is crucial for students to develop strong mathematical skills an...
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# geometric lattice A lattice is said to be geometric if it is 1. 1. algebraic (http://planetmath.org/AlgebraicLattice), 2. 2. semimodular (http://planetmath.org/SemimodularLattice), and 3. 3. each compact element is a join of atoms. By the definition of compactness, the last condition is equivalent to “each co...
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# On solving systems of equations by successive reduction using 2x2 matrices. Usually a student learns to solve a system of linear equations in two ways: 'substitution' and 'elimination'. While the two methods will of course lead to the same answer they are considered different because the thinking process is differen...
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banganX 2020-11-07 Prove that $T\left(x,y\right)=\left(3x+y,2y,x-y\right)$ defines a linear transformation $T:{\mathbb{R}}^{2}\to {\mathbb{R}}^{3}$. Give the full and correct answer. StrycharzT Let $\left({x}_{1},{y}_{1}\right),\left({x}_{2},{x}_{2}\right)\in {\mathbb{R}}^{2}\phantom{\rule{1em}{0ex}}\text{and}\phan...
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Q: # How many different combinations can be made in a five digit number? A: There are 90,000 different number combinations that can be made in a five-digit number if numbers can repeat. To determine the number of possibilities, each place digit has to be evaluated independently to see how many numbers could fit ther...
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+0 # Three consecutive positive odd integers 0 109 1 Three consecutive positive odd integers a, b and c satisfy b^2 - a^2 = 348 and c^2 - b^2 > 0. What is the value of c^2 - b^2? May 8, 2021 #1 +2209 +1 a = a b = a + 2 c = a + 4 b^2 - a^2 = 348 (b+a)(b-a) = 348 (a+2+a)(a+2-a) = 348 Solve for a and you'll ha...
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# Fibonacci Numbers hidden in the Mandelbrot Set – Numberphile 0 62 So, today I’m gonna tell you about how the Fibonacci sequence appears in the Mandelbrot set. Hopefully, your mind will be blown by the end of that sentence. So the Fibonacci sequence, the rule is that you take the previous two numbers, and you add th...
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# Kerala PSC HSST Economics previous question paper part 3 Kerala PSC Higher secondary school teacher economics solved paper Part 3 Question Paper Code: 12/2017/OL Category Code: 357/2016 Exam: HSST ECONOMICS SC/ST Date of Test 07-03-2017 51:-Two unbiased dies are tossed simultaneously, what is the probability that t...
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# The Maximum Drawdown succinctly explained in 3 minutes The maximum drawdown (MDD) is likely the most important measure of risk in practice. We explain how to calculate it and why you should keep it under control.  Remember, if the MMD reaches -50% the portfolio have to grow +100% in order just to compensate the prev...
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Algebra I / Elem. Algebra Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems Algebra II / E&I Algebra Exponents & Polynomials Intermediate Algebra starts here! Factoring Rational Expressions Rational Equations and Applications Algebra III / Inter. Alg...
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The Einstein velocity relationship transforms a measured velocity as seen in one inertial frame of reference (u) to the velocity as measured in a frame moving at velocity v with respect to it (u'). In problems involving more than two objects, the main difficulty is the assignment of velocity to all the objects. If A s...
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### Shades of Fermat's Last Theorem The familiar Pythagorean 3-4-5 triple gives one solution to (x-1)^n + x^n = (x+1)^n so what about other solutions for x an integer and n= 2, 3, 4 or 5? ### Exhaustion Find the positive integer solutions of the equation (1+1/a)(1+1/b)(1+1/c) = 2 ### Code to Zero Find all 3 digit ...
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Search a number 12141 = 321971 BaseRepresentation bin10111101101101 3121122200 42331231 5342031 6132113 750253 oct27555 917580 1012141 119138 127039 1356ac 1445d3 1538e6 hex2f6d 12141 has 12 divisors (see below), whose sum is σ = 18720. Its totient is φ = 7560. The previous prime is 12119. The next prime is 12143. Th...
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# The Mean from a Frequency Table It is easy to calculate the Mean: then divide by how many numbers there are. ### Example: What is the Mean of these numbers? 6, 11, 7 • Add the numbers: 6 + 11 + 7 = 24 • Divide by how many numbers (there are 3 numbers): 24 ÷ 3 = 8 ### The Mean is 8 But sometimes we don't have a...
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# 判断一棵二叉树是否是平衡二叉树 class TreeNode { int val = 0; TreeNode left = null; TreeNode right = null; public TreeNode(int val) { this.val = val; } } public class Solution { //解法一:递归的解法 public boolean IsBalanced_Solution(TreeNode root) { if(root==null) return true; return Math.abs(TreeDepth(root.left)-TreeDepth(root.right)...
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Changes: Truncated mean Back to page A truncated mean or trimmed mean is a statistical measure of central tendency, much like the mean and median. It involves the calculation of the mean after discarding given parts of a probability distribution or sample at the high and low end, and typically discarding an equal amo...
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• Revision:Linear Programming TSR Wiki > Study Help > Subjects and Revision > Revision Notes > Mathematics > Linear Programming Linear programming is a method of solving problems involving maximising or minimising conditions that have a linear relationship. Formulating the problem 1. Define control variables (typic...
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# How to solve 3-variable planar vector equilibrium problems? While it's quite straightforward to solve problems with multiple planar vectors in equilibrium for 2 variables, I'm having issues with those where I'm asked to minimize or maximize a variable along with two others. For example: • $$\theta$$ such that $$F_1...
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# Trig check my work please? 42,204 results, page 80 1. ### applied calculus 3. a) Write out the limit definition for the derivative of y = xx. Attempt to solve it. b) Write out the limit definition for the derivative of the inverse trig function from question 2. Attempt to solve it. c) Discuss the value of implicit...
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# Teaching tangents and circles at GCSE Thursday 9th December 2021 When you're introducing how to find the equation of a tangent when given a point on a circle, centre the origin, do you go through the method and give students lots of examples to work out and then move on? Would it be preferable to give an understand...
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19 October, 14:36 # What mixed number is 3/8 of 100 +3 1. 19 October, 17:06 0 3/8 0f 100 100 / 8 = 12.5 Now, let's multiply this by 3 to be able to get the value => 12.5 * 3 = 37.5 is the value of 3/8 of 100. This is a mixed number because its a combination of whole and decimal numbers.
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## Conversion formula The conversion factor from kilometers per hour to miles per hour is 0.62137119223783, which means that 1 kilometer per hour is equal to 0.62137119223783 miles per hour: 1 km/h = 0.62137119223783 mph To convert 1481 kilometers per hour into miles per hour we have to multiply 1481 by the conversi...
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## What is Components Of A Vector? The graphical method of vector addition and subtraction using parallelogram law of triangle law or polygon law of vectors is not convenient especially when a vector in space is considered. Even in two-dimensional problems, the graphical method has the disadvantages that it needs draw...
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# What Differential Equation Method? Recently I missed a class in college regarding how to work out this question and now have no information on how to work this differential equation out and which methods I should use. Can anyone help me work out the method and answer as I'm really struggling. This is the question: ...
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More Similarity Practice Here's more practice on similarity -- most about 3-dimensional solids. Make diagrams for the questions without any. Go to it. 1) A company makes 2 similar cylindrical vases. The smaller one has a diameter of 10 cm. and a height of 20 cm. The total area of the larger vase is 4 times that of ...
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# Direct Products • Dec 11th 2011, 06:37 PM JSB1917 Direct Products How do I do... Z x Z/<(1,2)> isomorphic to Z and Z x Z x Z/<(1,1,1)> isomorphic to Z x Z Thanks. • Dec 11th 2011, 08:30 PM Drexel28 Re: Direct Products Quote: Originally Posted by JSB1917 How do I do... Z x Z/<(1,2)> isomorphic to Z and Z x Z ...
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# 208 systems with circles - Math 3 208 Systems of Circles... • Notes • 4 This preview shows page 1 - 3 out of 4 pages. Math 3 – 208: Systems of Circles Name: _____________________________ Lesson adapted from Carnegie Learning Math 3 Student Textbook 1 Essential Question: How can we solve a system of equations that ...
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Let A(a¯) and B(b¯) are any two points in the space and R(r¯) be a point on the line segment AB dividing it internally in the ratio m : n, then prove that r¯=mb¯+na¯m+n - Mathematics and Statistics Sum Let "A" (bar"a") and "B" (bar"b") are any two points in the space and "R"(bar"r") be a point on the line segment AB ...
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# Solve this equation for this variable : `3^(r-3)= 1/3` justaguide | College Teacher | (Level 2) Distinguished Educator Posted on The equation `3^(r-3)= 1/3` has to be solved. `3^(r-3)= 1/3` => `3^(r-3)= 3^-1` As the base is the same, the exponent can be equated => r - 3 = -1 => r = 3 - 1 => r = 2 The soluti...
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# 99109 in Roman Numerals | How to write 99109 in roman numerals Do you want to know what 99109 is in Roman numerals or how to write 99109 in Roman numerals? If so, you have come to the right corner of the internet. In this article, we'll show you the correct way to write 99109 in Roman numerals, including explanation...
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Total: \$0.00 Interactive Notebook Activities - Fraction Multiplication as Scaling {5.NF.5} Subject Resource Type Common Core Standards Product Rating File Type PDF (Acrobat) Document File 4 MB|16 pages Share Product Description This is a set of activities to use in your 5th grade math interactive notebooks. This s...
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## Friday, November 28, 2014 It must be that if you have: u2 + Dv2 = F then it must also be true that (u-Dv)2 + D(u+v)2 = F(D+1) ------------------------------------------------------------- In general true binary quadratics, except for the cases D = 0 or D = -1, F = 0, are connected to an infinity of others, as ...
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# How do you convert sqrt3 - sqrt3i to polar form? Oct 22, 2016 The polar form is $\sqrt{3} \left(\cos \left(- \frac{\pi}{4}\right) + i \sin \left(- \frac{\pi}{4}\right)\right)$ #### Explanation: Let $z = \sqrt{3} - i \sqrt{3}$ Then the modulus of z is ∣z∣=sqrt((sqrt3)^2+ (sqrt3)^2) =sqrt6 Rewriting z z=∣z∣(sqrt3...
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1. ## Exponential equation I've banged my head senseless on an exponential equation lately. I can't seem to solve however i try. Any help would be appreciated. problem: 4^2x - 4^x = 8 * 4^(x+3) solve for x 2. Hi, Originally Posted by bael problem: 4^2x - 4^x = 8 * 4^(x+3) solve for x This equation can be written...
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Variance of the sum of correlated random variables i'm trying to compute the variance of the random variable $$X = \frac{1}{N}\sum_{i=1}^N x_i$$ where $x_i$ are correlated identical random variables (mean and variance defined) obtained from a stationary stochastic process. I've reached the point where, with algebra...
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# Prove that {0^{n^3} | n≥0} is not context free I'm not very comfortable with pumping lemma for context-free grammar. I understand the sufficient conditions that must hold but proving it gets me everytime. For example, I need to prove whether $L = \{0^{n^3} \mid n\in\mathbb{N}\}$ is context-free or not. Based on my ...
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a primitive root mod p. 2 is a primitive root mod 5, and also mod 13. Primitive Roots Calculator. Thus, first find a small primitive root, i.e., find an a such that the smallest integer k that satisfies a k mod 13 = 1 is k = m – 1 = 12. Now by the proof of existence of primitive roots mod p2, using Hensel’s lemma, only...
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Find all School-related info fast with the new School-Specific MBA Forum It is currently 04 May 2015, 18:29 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...
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# Triangle Congruence Postulates How to Prove Congruent Triangles Using SAS – Congruent Triangles How to Prove Congruent Triangles Using SAS – Congruent Triangles 1. Side – Side – Side (SSS) Congruence Postulate 2. Side – Angle – Side (SAS) Congruence Postulate 3. Angle – Side – Angle (ASA) Congruence Postulate 4....
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# Won’t my child get confused with different methods being used at school and Cuemath? Written by nikhil pawar Bio The possibility of a child getting confused is a genuine concern many parents raise. When creating the Cuemath program, we were fully aware that students will be taught math in school. To avoid any pos...
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Home | | Physics 11th std | Distance and Displacement # Distance and Displacement Distance is the actual path length travelled by an object in the given interval of time during the motion. DISTANCE AND DISPLACEMENT Distance is the actual path length travelled by an object in the given interval of time during the mo...
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Question # In a study of red/green color blindness, 600 men and 2000 women are randomly selected and... In a study of red/green color blindness, 600 men and 2000 women are randomly selected and tested. Among the men, 52 have red/green color blindness. Among the women, 5 have red/green color blindness. Test the claim ...
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# Pine wood From a trunk of pine 6m long and 35 cm in diameter with a carved beam with a cross-section in the shape of a square so that the square had the greatest content area. Calculate the length of the sides of a square. Calculate the volume in cubic meters of lumber. Result a =  24.749 cm V =  0.368 m3 #### So...
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# Physics posted by Priscilla In a game of basketball, a forward makes a bounce pass to the center. The ball is thrown with an initial speed of 4.3 m/s at an angle of 15 degrees below the horizontal. It is released 0.80m above the floor. What horizontal distance does the ball cover before bouncing? (delta)y = (Voy)...
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# Why is the Dirac delta "function" often presented as the limit of a Gaussian with a fraction in the exponent? I often see the Dirac delta function defined as $$\delta(x)=\lim_{a \to 0}\frac{1}{a \sqrt{\pi}}e^{-x^2/a^2}$$ Yet this is clearly equivalent to $$\delta(x)=\lim_{b \to \infty}\frac{b}{\sqrt{\pi}}e^{-b^2x^2}...
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# Find the limit: 1. lim x→0(1+x)1/x-e+12exx2 2. lim x→0(ax+bx+cx3)2/x 1708 man111 singh · \hspace{-16}\bf{(1)::\;\;} $Given \;$\bf{\displaystyle \lim_{x\rightarrow 0}\frac{(1+x)^{\frac{1}{x}}-e-\frac{1}{2}ex}{x^2}}}$\\\\\\ First we will find expansion of$\bf{\displaystyle \bf{(1+x)^{\frac{1}{x}}}$at$\bf{x=0}}$\\\\\...
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# Which law is applied in autoclave? ## Which law is applied in autoclave? Autoclave Principle/ Working The autoclave works on the principle of moist heat sterilization where steam under pressure is used to sterilize the material present inside the chamber. The high pressure increases the boiling point of water and t...
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Berkson's paradox also known as Berkson's bias or Berkson's fallacy is a result in conditional probability and statistics which is counterintuitive for some people, and hence a veridical paradox. It is a complicating factor arising in statistical tests of proportions. Specifically, it arises when there is an ascertainm...
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Powering-invariant not implies divisibility-closed (diff) ← Older revision | Latest revision (diff) | Newer revision → (diff) This article gives the statement and possibly, proof, of a non-implication relation between two subgroup properties. That is, it states that every subgroup satisfying the first subgroup propert...
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# algebra posted by . find the variation constate and an equation of variation where y varies inversely as x and y=1 whenx=6 what is the variation constant is • algebra - y varies inversely with x means that y = 1/x times some constant k. So, y = k/x is the general form of an equation of variation where y varies i...
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Comment Share Q) # A geo stationary satellite orbits around the earth in a circular orbit of radius $36000km$. Then the time period of a spy satellite orbiting a few Kilometers above the earth's surface $(R_{earth}=6400 Km)$ will be approximately $(a)\;\frac{1}{2}\;hour \quad (b)\;2\;hour \quad (c)\;1\;hour \quad (d)...
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# Video: AQA GCSE Mathematics Foundation Tier Pack 1 β€’ Paper 2 β€’ Question 5 Calculate the median of the numbers in the grid. 02:53 ### Video Transcript Calculate the median of the numbers in the grid. The median is calculated by finding the middle number when the numbers are written in ascending order. We noti...
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# Find a norm on R2 1. Nov 16, 2012 ### cummings12332 1. The problem statement, all variables and given/known data find a norm on R2 for which||(0,1)||=1=||(1,0)|| but ||(1,1)||=0.000001 2. Relevant equations hints: ||(a,b)|| = A |a+b|+B|a-b 3. The attempt at a solution by the hints i have A+B=1 and 2A=0.000001 th...
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1 You visited us 1 times! Enjoying our articles? Unlock Full Access! Question # If In=π4∫0tannx dx, then 1I3+I5 is equal to Open in App Solution ## In=π4∫0tannx dx For n≥2,n∈I, we can write ⇒I=π4∫0(sec2x−1)tann−2x dx⇒I=[tann−1xn−1]π40−π4∫0tann−2xdx⇒In=1n−1−In−2 Now, putting n=5, we get I5=14−I3⇒I3+I5=14∴1I3+I5=4 Su...
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# Algorithm learning #02--Fibonacci Fibonacci sequence algorithm optimization Source: Internet Author: User Tags pow Algorithm List In this paper, the optimal algorithm is found from the perspective of time efficiency and occupied space memory. 1. Classic recursive algorithm recursive algorithm (very slow) 2. Dynam...
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Limiting distribution of $V_n=\sqrt{n}\cdot \text{min}{\{X_1, X_2, . . . , X_n}\}$ where $f_X(x) =\frac{2}{x^3}I_{(1,\infty)}(x)$ $$X_1$$, $$X_2$$, . . . are iid random variables having pdf $$f_X(x) =\frac{2}{x^3}I_{(1,\infty)}(x)$$ Let $$V_n=\sqrt{n}\cdot \text{min}{\{X_1, X_2, . . . , X_n}\}$$ Consider the seque...
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# Definition:Automorphism Group/Group ## Definition Let $\struct {S, *}$ be an algebraic structure. Let $\mathbb S$ be the set of automorphisms of $S$. Then the algebraic structure $\struct {\mathbb S, \circ}$, where $\circ$ denotes composition of mappings, is called the automorphism group of $S$. The structure $\...
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