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Degrees of Freedom The concept of degrees of freedom is central to the principle of estimating statistics of populations from samples of them. "Degrees of freedom" is commonly abbreviated to df. Think of df as a mathematical restriction that needs to be put in place when estimating one statistic from an estimate of a...
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# How To Find Area Of Circle With Radius How To Find Area Of Circle With Radius. How to calculate radius of a circle from area. How do you find area with radius? Radius “r” = 12 ÷ 2 = 6 cm. Area of a circle in terms of radius: Diameter = 2 * radius. ### This Is The Area Contained Within A Circle With The Specified R...
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The length of a rectangle is 1 less than 2 times the width. The area of the rectangle is 45cm2. Find the length and the width using quadratics. Write an equation to represent the area. Round answer(s) to one decimal place if required. l = 9 cm w = 5 cm equation for area = 2*w^2 - w = 45 Complete solution: https://...
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# Thread: just to check a simple probability problem 1. ## just to check a simple probability problem I worked this simple problem and am not sure if it is correct and I have another 19 questions similar to this therefore I need to be sure of what I am doing. The problem broken in simple terms.. company paced order ...
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## Some examples of depth This is related to the question I asked last time. This sounds a bit too specific, I hope this question is still acceptable on MO. I am still not quite comfortable with the concept of depth, and there is this exercise in Matsumura's book that goes as follows: Find an example of a noetherian...
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# Question #4190b Jan 27, 2017 $49 {x}^{2} + 42 x - 27 = 0$ #### Explanation: for solution for $- \frac{9}{7}$ $x = - \frac{9}{7}$, then $\left(x + \frac{9}{7}\right) = 0$ for solution 3/7, $x = \frac{3}{7}$, then $\left(x - \frac{3}{7}\right) = 0$ Therefore, $\left(x + \frac{9}{7}\right) \left(x - \frac{3}{7}\ri...
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# Algorithm to solve Rubik’s Cube • Difficulty Level : Medium • Last Updated : 13 Oct, 2022 A Rubix Cube is an interesting puzzle invented by ‘Erno Rubik’ which has 43 quintillion possible configurations. But with the use of certain algorithms, it can be solved easily. There are many variations of the Rubix cube nowa...
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# HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board ## Mercer University Percentage Calculation: Mercer University CGPA to Percentage Calculator Mercer University Percentage Calculation: Mercer University CGPA to Percentage Calculator Mercer University Percentage Calculation: Hey, today we are g...
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# How can I calculate the intercept direction of a constant accelerating missile? I'm simulating missiles in 3d space and want the missiles to intercept a target which has constant velocity. Given the targets velocity is "u" a vector and the missiles acceleration rate is "a" a constant scalar what is the formula to c...
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# Goldbach's conjecture The even integers from 4 to 28 as sums of two primes: Even integers correspond to horizontal lines. For each prime, there are two oblique lines, one red and one blue. The sums of two primes are the intersections of one red and one blue line, marked by a circle. Thus the circles on a given horiz...
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# How can I prove that the Sorgenfrey line is a Lindelöf space? How can I prove that the Sorgenfrey line is a Lindelöf space? Now, Sorgenfrey line is $\mathbb{R}$ with the basis of $\{[a,b) \mid a,b\in\mathbb{R}, a<b\}$, and in general, a topological space is called a "Lindelöf space" iff every open cover has a counta...
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# SAT Skills Insight Next Tests: 11/7 , 12/5 #### 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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Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack GMAT Club It is currently 27 Mar 2017, 15:46 ### 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 y...
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# Expected value and variance of ratio of two sums of two sets of random variables Let $X_1,X_2,\ldots,X_n$ be iid $\operatorname{Gamma}(\alpha,\beta)$ random variables. Suppose that, conditionally on $X_1,X_2,\ldots,X_n$, the random variables $Y_1,Y_2,\ldots,Y_n$ are independent and $Y_{i}\mid X_{i}\sim \operatorname...
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# Dot Product Intuition I'm searching to develop the intuition (rather than memorization) in relating the two forms of a dot product (by an angle theta between the vectors and by the components of the vector ). For example, suppose I have vector $\mathbf{a} = (a_1,a_2)$ and vector $\mathbf{b}=(b_1,b_2)$. What's the p...
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# WAEC 2018 Physics Obj And Essay Answer – May/June Expo ## WAEC Physics Obj And Essay/Theory Solution Questions and Answer – MAY/JUNE 2018 Expo Runz. Physics OBJ: 31DCBBCCBABB 10a) Diffraction is the ability of waves to bend around obstacles in their path 10bi) Critical angle is the highest angle of incidence in a...
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623. Add One Row to Tree Given the root of a binary tree, then value `v` and depth `d`, you need to add a row of nodes with value `v` at the given depth `d`. The root node is at depth 1. The adding rule is: given a positive integer depth `d`, for each NOT null tree nodes `N` in depth `d-1`, create two tree nodes with...
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the least common multiple and the greatest common factor The  product  of  two  natural  numbers  is  420.  If  their greatest  common  factor  is  12,what  is  their  least  common multiple? According  to  this  rule:  The  product  of  the  greatest  common factor  and  the  least  common  multiple  of  the  two  n...
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Question and answer -3 divided by 6 (show in reduced form) -3 divided by 6 (-0.5 in reduced form) Expert answered|jeifunk|Points 8461| Question Asked 1/23/2013 9:00:43 AM Updated 6/12/2014 5:53:07 PM 0 Answers/Comments This answer has been confirmed as correct and helpful. Confirmed by debnjerry [6/12/2014 5:53:07 PM] ...
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# SBI PO 2018: Quantitative Aptitude Quiz for Prelims – 2 Hello and welcome to exampundit. Here is a set of Quantitative Aptitude Quiz for SBI PO 2018 Prelims exam. The following set consists Data Interpretation Problems. The following pie chart shows the percentage distribution of the total population of seven citi...
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# Why can't I use the differentiation property of the Fourier transform? I have some question about the function in frequency domain and I'd like to know its inverse fourier transform (IFT) $$G(jw) = \dfrac{jw\cdot (jw+1)}{(2+jw)(3+jw)}$$ I know that: $$\dfrac{d}{dt}x(t)\Leftrightarrow jw\cdot X(jw)$$ And easy to ...
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# [SOLVED] Differential Equation General Solution Help • Sep 28th 2008, 11:57 PM [SOLVED] Differential Equation General Solution Help hey guys, i'm really struggling with this and need someone to point me in the right direction, any help at all would be greatly appreciated! Find the general solution of Eq.2 and hence...
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# 新斗罗大陆手游pk视频,斗罗大陆3游戏 ### Q1:新斗罗大陆手游第一天充到V8如何发展? All electrical circuit fall into one of three classes; series circuits,parallel circuits,and series-parallel circuits. A series circuit is one in which the current flows in a single continous path and is of the same value at every point in circuit (figure 1).In a paral...
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Credit-help.pro Credits Finances Banks # How To Validate Credit Card Numbers ## Introduction This is the article which tells you how to validate “Credit Card Number”. This articles doesn’t guarantee that the Credit Card Number exist what it tells that it is the valid number or not. Credit Card numbers are (most ...
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# Polynomial help? • Oct 23rd 2008, 06:32 AM kim_lloyd25 Polynomial help? Hey! Im going through some polynomial questions as revision but i've come across one that's stumped me. I've tried it over and over but just can't see where i'm going wrong. The question is as follows: The polynomial: f(x)= px^3 - x^2 + qx - 6 ...
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A Quadratic equation is any equation that has this kind of algebraic format $a{x}^{2}+bx+c=0$ $4{x}^{2}-4x-24=0$ $a{x}^{2}+bx+c=0$ x = $\frac{-b±\sqrt{{b}^{2}-4ac}}{2a}$ a = 4, b = -4, c = -24 Solution: x = $\frac{-\mathrm{\left(-4\right)}±\sqrt{{\mathrm{-4}}^{2}-4\mathrm{×4}\mathrm{×-24}}}{2\mathrm{×4}}$ x = $\...
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The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A118675 Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+47)^2 = y^2. 9 0, 16, 85, 141, 225, 616, 940, 1428...
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# Year 6 By the end of Year 6, if your child is meeting the national standard, they are expected to achieve the following objectives within a range of applications and contexts. Number Place Value • I can work with numbers up to 10 000 000 and know what each digit represents. • I can round a whole number as requeste...
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Upcoming SlideShare × # Guía 2 logaritmo 4,022 views 3,543 views Published on 1 Like Statistics Notes • Full Name Comment goes here. Are you sure you want to Yes No • Be the first to comment Views Total views 4,022 On SlideShare 0 From Embeds 0 Number of Embeds 15 Actions Shares 0 79 0 Likes 1 Embeds 0 No embeds ...
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# Points B and D are points of tangency. Find the value of x. 12210204011.jpg Question Circles Points B and D are points of tangency. Find the value of x. 2021-03-10 3x+10=7x-6 3x=7x-16 -4x=-16 x=4 ### Relevant Questions Points B and D are points of tangency. Find the value of x. . Points B and D are points of ta...
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# Perfect number mathematics Perfect number, a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128. The discovery of such numbers is lost in prehistory. It is known, however, that the Pythagor...
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HBW 3 years ago Simplify -20 - (-5) (-2 squared) I got 0 , my dad -40 who is right and why ???? 1. gdogthegirl this goes in the mathematics section if you need faster help btw 2. Directrix As written, -20 - (-5) (-2 squared) = -20 - (-5)*(-2²) = -20 - (-5)*(-4) = -20 - [(-5)*(-4)] = -20 - [20] = -20 - 20 = -40. The...
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# Review of Functions Mathematics 53 Institute of Mathematics - UP Diliman 8 November 2012 Math 53 (Part 1) Review of Functions 8 November 2012 1 / 69 Outline 1 Functions Basic Types of Functions Constructing a table of signs Piecewise-defined functions Operations on Functions Functions as Mathematical Models ...
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Formulas » Maths Formulas » Trigonometry Formula # Trigonometry Formula Trigonometry Formula: Explore more about the Trigonometry Formula with solved examples ## Trigonometry is one of the branches of mathematics that explores the connections between the three sides and the three angles of a triangle. Six essential...
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# Circle w/ circumference equals to that of an ellipse Tags: 1. Jun 27, 2015 ### Francis Ocoma Hi. Unfortunately, it looks like my first ever PhysicsForums post isn't even about Physics. I'll think of a Physics-related question later. :) Anyway, I know that each ellipse has an inscribed circle and a circumscribed c...
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# Show that the relation R on R defined as R= {(a,b): a <= b } is reflexive and transitive but not symmetric. Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams. Updated On: 13-4-2020 Apne doubts clear karein ab Whatsapp par bhi. Try it now. Watch 1000+ concepts & tri...
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# nasty exponentials While trying to find the fourier transform of $\Large \frac{1}{1 + x^4}$, using the definition and the residue theorem has required me to evaluate nasty looking expressions like $$\large \rm e^{-ike^{i\frac{\pi}{4}}} .$$ Mathematica tells me this is the same as $$\rm e^{\frac{k}{\sqrt{2}}} \cos(\...
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🎉 Announcing Numerade's $26M Series A, led by IDG Capital!Read how Numerade will revolutionize STEM Learning Numerade Educator ### Problem 38 Easy Difficulty # A$5.00-8$bullet is fired borizontally into a 1.20$\mathrm{kg}$wooden block resting on a horizontal surface. The coefficient of kinetic friction between block a...
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Tuesday April 16, 2024 home | contact | Support | Slice of Java. Its simple and its powerful... Slice of Java. Its simple and its powerful... Almost all 3D is made up of lots of Triangles by Ben Kenwright When you watch Toy-Story or the latest Shrek 2 movie, you might not know, that all the 3D models and 3D world...
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# CMPSCI 250 Discussion #9: The Problem of Sorting #### 7 November 2007 We'll see in today's lecture that there are n! possible permutations of an n-element set. A sorting algorithm must determine which of these possible orders the input is in. A comparison-based sorting algorithm must decide this on the basis of com...
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You are on page 1of 10 # Introduction Boolean functions may be practically implemented by using electronic gates. The following points are important to understand. ## • Electronic gates require a power supply. • Gate INPUTS are driven by voltages having two nominal values, e.g. 0V and 5V representing logic 0 and lo...
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# Good physics problem 1. Jun 19, 2013 ### jingu 1. The problem statement, all variables and given/known data There are two roads of length x.There separation is also x.They have mass k and p.Than what is the force exerted by one on the other. 2. Relevant equations I think f=gmM/R^2 IS THE EQUATION TO BE USED. 3....
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# Force and pressure Worksheet-9 Force and pressure Worksheet-9 1. What is muscular force? Why is it called contact force? 1. What do you understand about the force of friction? 1. What is electrostatic force? Why is it called non-contact force? 1. Explain force of gravity. 1. What is pressure? What happens to th...
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Cody # Problem 796. Removing rows from a matrix is easy - but what about inserting rows? Solution 1498459 Submitted on 20 Apr 2018 by Ruud van de Looij This solution is locked. To view this solution, you need to provide a solution of the same size or smaller. ### Test Suite Test Status Code Input and Output 1   Pa...
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# Given: triangle ABC-equilibration, AC-base, angle A = 50 deg, AD-bisector of angle A, CP-bisector of angle C Given: triangle ABC-equilibration, AC-base, angle A = 50 deg, AD-bisector of angle A, CP-bisector of angle C, CP and AD intersect at point O. Find: angle AOC-? 1.) First, find the value of the angle C in tri...
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Find the coordinates of the point where the diagonals Question: Find the coordinates of the point where the diagonals of the parallelogram formed by joining the points (−2, −1), (1, 0), (4, 3) and(1, 2) meet. Solution: The co-ordinates of the midpoint $\left(x_{n}, y_{E}\right)$ between two points $\left(x_{1}, y_{...
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Explore BrainMass Marshallian/ Hicksian Demand Function Not what you're looking for? Search our solutions OR ask your own Custom question. This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here! An individuals preferences over goods x=(x1,x2) can be represented b...
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## Sunday, December 25, 2016 ### Cloud Giant Damage A general method for converting range notation to dice notation. My first copy of the game was a Holmes edition with geomorphs. The rules have staying power. This summer I met a Holmes player born after they went out of print! And so the questions we asked thirty...
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# Math Insight ### Matrices and linear transformations Let $A$ be a $2 \times 3$ matrix, say \begin{align*} A = \left[ \begin{array}{rrr} 1 & 0 & -1\\ 3 & 1 & 2 \end{array} \right]. \end{align*} What do you get if you multiply $A$ by the vector $\vc{x}=(x,y,z)$? Remembering matrix multiplication, we see that \begin{a...
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☰   Related Articles Kinematics Introduction to Kinematics Viva Voice Questions Radius of gyration is defined as the distance between the axis of rotation to the point where all the mass of the body is supposed to be concentrated i.e. center of mass. It is denoted by K. The moment of inertia for the body defined by...
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GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video It is currently 27 Jan 2020, 23:15 ### 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 Pr...
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# Free Algebraic Expressions and Identities 03 Practice Test - 8th Grade When we add 5a2b+6ab+7bc+54 and 14ab+8bc+16, we get: A. 5a2b+20ab+7bc+70 B. 5a2b+6ab+7bc+8ac+70 C. 5a2b+16ab+7bc+8ac+70 D. 5a2b+20ab+15bc+70 #### SOLUTION Solution : D 5a2b+6ab+7bc+54 14ab+8bc+16 ________________________________ 5a2b+2...
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You are on page 1of 5 # K to 12 BASIC EDUCATION CURRICULUM SENIOR HIGH SCHOOL – ACCOUNTANCY, BUSINESS AND MANAGEMENT (ABM) SPECIALIZED SUBJECT Grade: 11 No. of Hours/Semester: 80 hours/semester Core Subject Title: Business Mathematics Pre-requisite: Core Subject Description: This course will provide an understandin...
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# 8.1 - One Sample Proportion 8.1 - One Sample Proportion One sample proportion tests and confidence intervals are covered in Section 6.1 of the Lock5 textbook. In the last lesson you were introduced to the general concept of the Central Limit Theorem. The Central Limit Theorem states that if the sample size is suff...
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Guide to Harmonic Trading and Harmonic Patterns Harmonic Trading is a highly sophisticated technical analysis method that aims to forecast major price reversals based on chart patterns recognition and Fibonacci ratio alignments. These are the basic Harmonic Ratios: I. Primary Ratios 0.618 = Primary Ratio | 1.618 = ...
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The maximum value of 12 sin(theta) - 9 sin ^2 (theta) is a) 3 b) 4 c) 5 d) none of these Dear Student, Let z = sin x Then y = 12 sin (x)- 9 sin^2 (x) becomes y = 12z - 9z^2 = 3z(4 - 3z) which has roots at 0 and 4/3 The vertex is half-way between 0 and 4/3: z = (0 + 4/3)/2 = 2/3 This is good because sin x = 2/3 ...
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# Illustrative Mathematics Grade 8, Unit 8, Lesson 5: Reasoning About Square Roots Learning Targets: • When I have a square root, I can reason about which two whole numbers it is between. Related Pages Illustrative Math #### Lesson 5: Reasoning About Square Roots Let’s approximate square roots. Illustrative Math ...
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# Word Problems on Pythagoras Theorem Pythagoras theorem states that, In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle). (Source – Wikip...
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Skip to main content # 4: Absolute Value Functions $$\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}}$$ ( \newcommand{\kernel}{\m...
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Step-by-step Solution Derive the function cot(3*x)+xsin(x^3+5) with respect to x Go 1 2 3 4 5 6 7 8 9 0 x y (◻) ◻/◻ 2 e π ln log lim d/dx d/dx > < >= <= sin cos tan cot sec csc asin acos atan acot asec acsc sinh cosh tanh coth sech csch asinh acosh atanh acoth asech acsch Videos $-3\csc\left(3x\right)^2+\sin\le...
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# Decibel equation, dyne or Watt I know decibel is used as a ratio between two physical quantities with the same units on a logaritmic scale. Is also used for calculate the intensity of a sound, but I found it reported in two different ways: $$\text {db} = 20 \log \left(\frac{p}{p_0} \right) \qquad\text{with: }p_0 = ...
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# Section 8.3 Trigonometric Equations Μέγεθος: px Εμφάνιση ξεκινά από τη σελίδα: Download "Section 8.3 Trigonometric Equations" ## Transcript 1 99 Section 8. Trigonometric Equations Objective 1: Solve Equations Involving One Trigonometric Function. In this section and the next, we will exple how to solving equation...
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# Navier-Stokes Equations The Navier-Stokes equations are differential equations of motion that will allow you to incorporate the viscous effects of a fluid.  Recall that viscosity is the fluids willingness to flow.  In other words it will give you the ability to also consider the fluids frictional forces.  Finally, t...
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Imaginary Exponents and Euler's Equation Dr. Math FAQ || Classic Problems || Formulas || Search Dr. Math || Dr. Math Home Imaginary Exponents and Euler's Equation What does it mean to have an imaginary exponent? There is only one sensible way to define this. It was discovered in 1748 by the famous Swiss mathematicia...
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Everipedia is now IQ.wiki - Join the IQ Brainlist and our Discord for early access to editing on the new platform and to participate in the beta testing. # Einstein notation In mathematics, especially in applications of linear algebra to physics, the Einstein notation or Einstein summation convention is a notational ...
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#### Archived This topic is now archived and is closed to further replies. # Can somebody please explain homogenous coordinates to me? This topic is 5130 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic. ## Recommended Posts I know that for 2D theres (x,y,w) and i...
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Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ ° You are not logged in. ## #1 2012-11-06 18:07:42 hempy Member Registered: 2012-11-06 Posts: 2 ### Induction Proofs Let a(sub0) and r be fixed real numbers with r ≠ 0 and r ≠ 1, and suppose that for eac...
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# How is the product of two vectors determined? There are two distinct types of products of two vectors: scalar and vector products, sometimes called the inner and outer products (mostly in reference to tensor products; see below). The scalar (or dot) product of two vectors is not a vector because the product has a ma...
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Search a number 3567241 = 15532297 BaseRepresentation bin1101100110111010001001 320201020100001 431212322021 51403122431 6204243001 742215056 oct15467211 96636301 103567241 112017137 121240461 1397b8c2 1468c02d 154a6e61 hex366e89 3567241 has 4 divisors (see below), whose sum is σ = 3571092. Its totient is φ = 3563392....
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# What is $\langle H \rangle$ in the infinite square well in the state $|\psi \rangle = | x_0 \rangle$, where $0 \le x_0 \le L$? If the particle is in the state $$\psi(x)=\delta(x-x_0) \ldots$$ Unfortunately, that's a non-starter. Delta functions are not square-integrable, and therefore do not represent physical stat...
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# All posts tagged ‘video analysis’ ## MythBusters: Why Did the Rocket Car Break the Ramp? I hope you didn’t miss the last MythBusters. Only the MythBusters have a big enough budget to launch their fourth rocket car (two in this episode). The above clip shows you all the great details. The part I find the most intere...
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# 12117 (number) 12,117 (twelve thousand one hundred seventeen) is an odd five-digits composite number following 12116 and preceding 12118. In scientific notation, it is written as 1.2117 × 104. The sum of its digits is 12. It has a total of 3 prime factors and 8 positive divisors. There are 6,912 positive integers (u...
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# Quant Quiz for SBI PO PRE & SBI CLERK 2019 |14 May 2019 ## Quant Quiz for SBI PO PRE & SBI CLERK 2019 Reasoning Quiz to improve your Quantitative Aptitude for SBI Po & SBI clerk exam Reasoning, IBPS PO Reasoning , IBPS Clerk Reasoning , IBPS RRB Reasoning, LIC AAO ,  and other competitive exams. Direction (Q1 – Q4...
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## Algebra 1 $x=-10.5$ We need to get the x alone, so we use multiplication to cancel out division. As a result, we multiply both sides by 3 to get that $x-3=-13.5$. We now cancel out the subtraction by adding 3 on both sides, giving us a final answer of $x=-10.5$. We plug -10.5 in for x and confirm that our answer is...
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# Loads Minimum load For additional information → Requisite minimum load Minimum axial load for single bearings and bearing pairs arranged in tandem: Minimum radial load for bearing pairs arranged back-to-back or face-to-face: Perform calculations Equivalent dynamic bearing load For additional information → Equivalen...
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# Infinite Series 1. Aug 21, 2009 ### Gear300 I just need to make sure that I've got this analysis right: The argument S = 1 - 1 + 1 - 1 + 1 - ... then S = (1 - 1) + (1 -1) + (1 -1) + ... = 0 is invalid because it ignores all sum Sn for n not congruent modulo 2 (not even). The argument S = 1 - 1 + 1 - 1 + 1 - ... ...
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A Sprinter’s Lament I’ve written before about running in RPGs, and in D&D in particular. The sprinting rule did make it into Dragon Heresy, so there is that. But as I was pondering a Pyramid article for GURPS on the way into work this morning, I realized that I was ignoring a potentially easy solution to my problem. ...
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1. ## simplify and proof that answer is this can anybody help? 2. ## Re: simplify and proof that answer is this Originally Posted by tautvyduks can anybody help? For the first problem, note that $\displaystyle sin(A - B) = sin(A)~cos(B) - sin(B)~cos(A)$ so we have: $\displaystyle sin \left ( \frac{\pi}{3} - \alpha...
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# 2008 Grade 5 Math Challenge – Division Level with answer key Below are the 2018 MTAP Grade 5 Math Challenge Sectoral level questions and answers. Solutions will be posted later. More reviewers can be found on the Past Tests and All Posts pages. Easy 1.) Give the greatest common factor of 45, 75, 120. 2.) Write $6...
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# Integrating x^ne^xn: Analyzing & Solving • I • Mayhem In summary, the conversation discusses the integration of the given expression and suggests using integration by parts as the best method. It also points out a mistake in the original solution, where the -1 term was incorrect due to a redundant bound in the sum. ...
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EnchantedLearning.com is a user-supported site. As a bonus, site members have access to a banner-ad-free version of the site, with print-friendly pages. You might also like: Simple Counting Worksheets K-3 Number Activities Today's Number, A Printable Worksheet Number of the Day, A Printable Worksheet The Number One H...
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Copyright © University of Cambridge. All rights reserved. ## 'Snooker Frames' printed from http://nrich.maths.org/ ### Why do this problem? This problem gives practice in a relatively complicated probability calculation drawn from a simple situation. It will require clear visualisation of the possibilities, accurate...
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## The ordered pair (p, q) satisfies the simultaneous equations (a + b)x + (b + c)y+ (c + a) = 0 and (b + c) x + (c + a)y + (a + b) Question The ordered pair (p, q) satisfies the simultaneous equations (a + b)x + (b + c)y+ (c + a) = 0 and (b + c) x + (c + a)y + (a + b) = 0 such that p and in the ratio 1 : 2, then whi...
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4810 (number) 4,810 (four thousand eight hundred ten) is an even four-digits composite number following 4809 and preceding 4811. In scientific notation, it is written as 4.81 × 103. The sum of its digits is 13. It has a total of 4 prime factors and 16 positive divisors. There are 1,728 positive integers (up to 4810) t...
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# Solving the Integral of sqrt(4x-1) | Math Help • PrudensOptimus In summary: I forgot that the constant multiple could be put outside the integral originally.In summary, a user is struggling with taking the integral of sqrt(4x-1) with respect to x and is seeking an explanation. Another user suggests using a u-substit...
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# Is this an appropriate explanation of why exactly elastic potential energy is quadratic? We have a science project about elastic potential energy, and the graph is quadratic. We have to explain why the graph is quadratic without only using the equation as a reference point. Is this an appropriate explanation? This ...
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# Value of a fraction It it true that is ${a^2+c^2\over b^2+d^2}=1$ for $ad-bc=1$? I tried substituting in $a={1-bc\over d}$ but it is still a mess. (How do you ask Wolfram Alpha a question like this where we ask it to calculate something with an imposed condition?) - Take $a = 2$ and $b = c = d = 1$. – TMM May 13 ...
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1. ## differentiable isometry Hello everybody, I am new in the forum, nice to meet you, please help me with this problem. Let $f\in{C^1(\mathbb{R}^m,\mathbb{R}^m)}$ such that: $\left\|{f'(x)(v)}\right\|= \left\|{v}\right\|$ for all $x,v\in{\mathbb{R}^m}$, i.e. $f'(x)$ is an isometry, for all $x\in{\mathbb{R}^m}$. Sho...
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Cody # Problem 258. linear least squares fitting Solution 2190637 Submitted on 3 Apr 2020 by bainhome This solution is locked. To view this solution, you need to provide a solution of the same size or smaller. ### Test Suite Test Status Code Input and Output 1   Pass x = [1,2,3,4]'; y = rand(4,1); f{1} = @(x) ones...
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mersenneforum.org Triangle puzzle Register FAQ Search Today's Posts Mark Forums Read 2006-05-17, 17:24 #1 dsouza123     Sep 2002 12268 Posts Triangle puzzle This puzzle starts with a equilateral triangle with each side 1 unit in length. The midpoints of each side are connected forming more triangles. At each step, w...
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• # Revision:OCR Core 3 - The modulus function ## 7. The modulus function ### The modulus function and its graph The modulus function is defined as follows: . This is defined for all real numbers, and can also be called "absolute value". The shape of the graph of this function is easy to predict. Consider that al...
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# Alternative definition of hyperbolic cosine without relying on exponential function Ordinary trigonometric functions are defined independently of exponential function, and then shown to be related to it by Euler's formula. Can one define hyperbolic cosine so that the formula $$\cosh{x}=\dfrac{e^x+e^{-x}}{2}$$ becom...
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### singh1495's blog By singh1495, history, 4 years ago, The Travelling Ant There is an Ant that lives in Baskerville and loves to travel. As Baskerville is a small place, it consists of only 5 cities placed one next to each other. There is a train between each successive cities ie between City 1 — City 2, City 2 — ...
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Jun 14, 2023 ## Introduction Have you ever wondered why some objects float on water while others sink? Why some materials are lighter than others of the same size? The answers lie in the concept of density, a fundamental property of matter. Density plays a critical role in science and our daily lives, from manufactur...
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<> Poker problem : An interesting card drawing problem :54 Playing cards , Two people take turns to get cards , Each person takes at least one at a time 1 Card , At most 4 Card . Whoever takes the last card loses . Write a method for computer to win by taking cards first . We can consider this problem like this : At ...
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# Understanding the Rules of Domino Domino has long been a favorite pastime of children and adults. It’s a fun game to play alone or with friends and family, and it can also provide a great opportunity for kids to learn about math. When playing domino, players must make strategic moves in order to succeed. However, if...
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# If 5+9+13+... to n terms7+9+11+...to (n+1) terms=1716, then n = Question: If $\frac{5+9+13+\ldots \text { to } n \text { terms }}{7+9+11+\ldots \text { to }(n+1) \text { terms }}=\frac{17}{16}$, then $n=$ (a) 8 (b) 7 (c) 10 (d) 11 Solution: Here, we are given, $\frac{5+9+13+\ldots \text { to } n \text { term...
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# Worksheet: Measurement Uncertainties In this worksheet, we will practice converting between the absolute uncertainty and percent uncertainty in measured values. Q1: Q2: What is the percent error of thinking the melting point of tungsten is instead of the correct value of 3,695 K? • A • B • C • D • E Q3: A mara...
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# Check if a number N can be expressed as the sum of powers of X or not • Difficulty Level : Medium • Last Updated : 02 Jun, 2021 Given two positive numbers N and X, the task is to check if the given number N can be expressed as the sum of distinct powers of X. If found to be true, then print “Yes”, Otherwise, print ...
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The OEIS is supported by the many generous donors to the OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A339361 Product of prime indices of the n-th squarefree semiprime. 6 2, 3, 4, 6, 8, 5, 6, 10, 7, 12, 8, 12, 9, 14, 15, 16, 10, 11, 18, 18, 12, 20, 13, 21, 14, 20, 24, 22, 1...
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