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It is currently 24 Jun 2017, 00:35 ### 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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It is currently 22 Oct 2017, 19:53 ### 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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# Case study: Learning outdoors Professor Helen Bilton shares her observations from an outdoor activity at a primary school, and discussions the learning outcomes from the activity In this Step, you’re introduced to a real life example Helen took part in at a primary school. Read through her commentary taken from her...
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# Solving Probability Part two Updated on October 31, 2008 Solving PROBABILITY Part Two Problem Number One: An experiment consists of getting 6 cards from a standard 52-card deck. What is the probability of getting (a) 6 black cards? (b) 6 face cards ? (c) 6 hearts ? (d) 6 non-face cards ? First find the Sample sp...
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# Amazing probability, help me prove it! lando45 "Imagine there is some rare disease that only affects 1 in 10,000 people, but if you get it, it's completely fatal and there is no cure, death is guaranteed. One day you get really paranoid and decide to take a test to see if you have the disease or not, so you go down ...
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# Construct an Equilateral Triangle The construction of an equilateral triangle illustrates some of the most important ideas in dynamic geometry. With this activity, you will explore that construction. Before working on this activity with your team, watch a brief YouTube clip that shows clearly how to construct an equ...
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# The Common School Arithmetic: Combining Analysis and Synthesis, Adapted to the Best Mode of Instruction in the Elements of Written Arithmetic Taggard and Thompson, 1866 - 312 σελίδες ### Τι λένε οι χρήστες -Σύνταξη κριτικής Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες. ### Περιεχόμενα Definitions 4 Definiti...
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# Search by Topic #### Resources tagged with Tangent similar to Strange Rectangle 2: Filter by: Content type: Stage: Challenge level: ##### Other tags that relate to Strange Rectangle 2 Cosine. Golden ratio. Right angled triangles. Cyclic. Quadrilaterals. Quadratic equations. Tangent. Powers & roots. Surds. Sine. #...
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# Thread: Finding Eigenvectors and Eigenvalues of a reflection about a Plane 1. ## Finding Eigenvectors and Eigenvalues of a reflection about a Plane Find all eigenvalues and eigenvectors of the linear transformation. Find a basis consisting of eigenvectors if possible. Reflection about a plane V in R^3. I'm not su...
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If you find any mistakes, please make a comment! Thank you. ## Compute limits using L’Hospital’s Rule III Solution: ### Part a Since $|\sin x|\leq 1$, we have \label{30-3-1} \lim_{x\to \infty}\frac{\sin x}{x}=0. Therefore, by \eqref{30-3-1}, $$\lim_{x\to \infty}\frac{x-\sin x}{x}=\lim_{x\to \infty}\frac{1-\frac{\si...
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Catalyst 1 / 13 # Catalyst - PowerPoint PPT Presentation Catalyst. C alculators today! 1. What is the molarity of a 25L solution with 10 mol of KBr ? 2. How many moles did I use if I have a 5M solution of 10L? 3. Which is the solute and which is the solvent?: salt dissolved in the ocean. Today’s Agenda. DILUTIONS. ...
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# Angle Sum Property of a Triangle & Exterior Angle Theorem Angle Sum Property of a Triangle Triangle is the smallest polygon which has three sides and three interior angles. In the given triangle, ∆ABC, AB, BC, and CA represent three sides. A, B and C are the three vertices and ∠ABC, ∠BCA and ∠CAB are three interio...
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## 8062 8,062 (eight thousand sixty-two) is an even four-digits composite number following 8061 and preceding 8063. In scientific notation, it is written as 8.062 × 103. The sum of its digits is 16. It has a total of 3 prime factors and 8 positive divisors. There are 3,864 positive integers (up to 8062) that are relat...
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# Finding dissolved amount of base from pH and solubility product Calculate the amount of $$\ce{Mg(OH)2}$$ which is solubilized in $$\pu{1.25 L}$$ of a buffered solution at $$\mathrm{pH} = 9.5$$. $$(K_\mathrm{sp}(\ce{Mg(OH)2}) = \pu{5.61E-12})$$. From $$\mathrm{pH}$$ I compute the $$\mathrm{pOH}$$, so $$[\ce{OH-}] = ...
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9 out of 10 based on 373 ratings. 3,100 user reviews. # OPTIMIZATION PROBLEMS AND SOLUTIONS [PDF] Problems and Solutions in Optimization Problems and Solutions in Optimization by Willi-Hans Steeb International School for Scienti c Computing at University of Johannesburg, South Africa Yorick Hardy Department of Mathem...
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Complex Number Sine Wave Problem Homework Statement Two alternating voltages are given by: V1= 12 sin 200pi t V2= 18 sin 200pi t + pi / 3 i) Plot each wave form on the same axis for one complete cycle ii) Add both together and plot the resultant waveform on the same axis iii) Using complex numbers, confirm ii) grap...
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# 3 problems small circle s Solving Geometry Problems Involving Circles Solving Geometry Problems Involving Circles. Key Terms. o Circle. o Radius. o Diameter. o Arc. o As it turns out, π also appears in the formula for the area of a circle. Let's write the area A in terms of the radius r. A = πr 2. Let's say that the...
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# 100242300 (number) 100,242,300 (one hundred million two hundred forty-two thousand three hundred) is an even nine-digits composite number following 100242299 and preceding 100242301. In scientific notation, it is written as 1.002423 × 108. The sum of its digits is 12. It has a total of 7 prime factors and 72 positiv...
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# Calculating Final Rotation of Spinning Wheel 1. Oct 18, 2014 ### Dumbledore Hello, I am really struggling with calculating the final rotation of a spinning wheel. I am not even sure if my equation for changing the velocity of the spinning wheel given a coefficient of friction is even correct so I will post it here...
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## 50089 50,089 (fifty thousand eighty-nine) is an odd five-digits composite number following 50088 and preceding 50090. In scientific notation, it is written as 5.0089 × 104. The sum of its digits is 22. It has a total of 2 prime factors and 4 positive divisors. There are 46,224 positive integers (up to 50089) that a...
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{[ promptMessage ]} Bookmark it {[ promptMessage ]} Bio exercise 2 # Bio exercise 2 - Jonathan Church JC8975 BIO 205L Exercise 2... This preview shows pages 1–2. Sign up to view the full content. Jonathan Church JC8975 BIO 205L: Exercise 2 1a. Mean length = (21.0 + 16.0 + 17.0 + 16.5 + 14.0)/5 = 16.9 r.u. Mean Wi...
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# How to properly round-up half float numbers? Hello Guys, How are you all? Hope You all Are Fine. Today We Are Going To learn about How to properly round-up half float numbers in Python. So Here I am Explain to you all the possible Methods here. ## How to properly round-up half float numbers? 1. How to properly rou...
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{[ promptMessage ]} Bookmark it {[ promptMessage ]} lecture2 # lecture2 - Discrete Computation Structures CSE 2353 Bhanu... This preview shows pages 1–10. Sign up to view the full content. Discrete Computation Structures CSE 2353 Bhanu Kapoor, PhD Department of Computer Science & Engineering Southern Methodist Un...
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# Laboratory: Merge Sort Summary: In this laboratory, we consider merge sort, a more efficient technique for sorting lists of values. ## Exercise 0: Preparation Make a copy of `mergesort-lab.scm`, the code for this lab. ## Exercises ### Exercise 1: Merging a. Write an expression to merge the lists `(1 2 3)` and `...
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##### Activity4.1.3 Let's consider an example that illustrates how we can put these ideas to use. Suppose that we work for a car rental company that has two locations, $$P$$ and $$Q\text{.}$$ When a customer rents a car at one location, they have the option to return it to either location at the end of the day. After...
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# Which equation could be used to find the perimeter of a rectangle that has a width of 12 cm and a length of 16 cm? a. P = 2 · 12 + 2 · 16 b. P = 2 · 12 + 16 c. P = 12 · 16 d. P = 12 + 16 QUESTION POSTED AT 05/12/2019 - 12:06 PM It would be a. because a rectangle has 2 pairs of congruent sides so since the width is ...
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# Algebra Mary earns \$16 an hour plus \$20 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week. Part A: Create an equation that shows the amount of money earned, M, for working x hours in a week when there is no overtime. Part B: Create an equation that shows the amount ...
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# Solve the recurrence: T(n)=2T(n/2)+n/logn I can find the sum of each row (n/log n-i) and also I can draw its recursive tree but I can't calculate sum of its rows. T(n)=2T(n/2)+n/logn T(1) = 1 Suppose n = 2^k; We know for harmonic series (euler formula): Sum[i = 1 to n](1/i) ~= log(n) [n -> infinity] t(n) = 2t(...
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Test tomm. Need help *Urgent* posted by . Sorry for posting so many topics, but I really need help on this stuff. I recently lost my work I did on a separate sheet from 2 weeks ago, and now I can't seem to find the answer again. a fair six-sided die is tossed seven times in a row. A) What is the probability that a ...
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# Introduction and straight-line functions Page 1 / 1 ## Introduction The gradient of a straight line graph is calculated as: $\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}$ for two points $\left({x}_{1},{y}_{1}\right)$ and $\left({x}_{2},{y}_{2}\right)$ on the graph. We can now define the average gradient between two...
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# Search by Topic Filter by: Content type: Stage: Challenge level: ### There are 133 results Broad Topics > Calculations and Numerical Methods > Multiplication & division ### Six Ten Total ##### Stage: 2 Challenge Level: This challenge combines addition, multiplication, perseverance and even proof. ### Remainder...
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# What Is a Reciprocal's Use in Math? Save Next Video: Double Factoring in Math....5 In the world of mathematics, a reciprocal plays a very important role. Learn about a reciprocal's use in mathematics with help from an experienced mathematics educator in this free video clip. Part of the Video Series: Elementary Ma...
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# 8.7.1: Interfacial Instability $$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\new...
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You are on page 1of 2 # Seat No. : ________ Enrolment No.______________ ## GUJARAT TECHNOLOGICAL UNIVERSITY M.E IIst SEMESTEREXAMINATION JULY- 2012 Subject code: 1720110 Subject Name: Numerical Methods Time: 10:30 am 13:00 pm ## Date: 14/07/2012 Total Marks: 70 Instructions: 1. Attempt all questions. 2. Make su...
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# Mastering Binomial Expansion Mastering Binomial Expansion 1 / 25 Slide 1: Slide This lesson contains 25 slides, with interactive quizzes and text slides. ## Items in this lesson Mastering Binomial Expansion #### Slide 1 -Slide This item has no instructions Learning Objective Understand and master the technique...
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Chapter 1 1.6 Basic Block Diagrams 1.6.1 Blocks in Series Consider two cascade blocks as shown in Figure 1‑17. What is the transfer function relating signals $Y(s)$ and $R(s)$? $X(s) = R(s) \cdot G_{1}(s)$,         $Y(s) = R(s) \cdot G_{1}(s) \cdot G_{2}(s)$ $Y(s) = X(s) \cdot G_{2}(s)$          $G(s) = \frac{Y(s)...
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$\DeclareMathOperator{\Q}{Q} \DeclareMathOperator{\Aut}{Aut}$ # COURSE YEAR 2017 Module - I : April 30, 2017 – May 12, 2017, Michel Waldschmidt Topics: Rings, Fields, The characteristic of a field, Review of polynomial rings, Factoring polynomials, Extension fields, The subring gene-rated by a subset, The subfield ge...
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You are on page 1of 12 # Main Office: No. ## 25-01, 35-01 Jalan Austin Heights Branch: No. 15A, 17A, 21A & 41A Jalan Indah 16/12, Taman Bukit Indah (Tel: 07 Name : Subject : Mathematics T Chapter : 9 Integration (1) 9.1 Indefinite Integrals Notes:- (a) Standard integrals (i) a dx ax c = + } (ii) 1 1 n n ax ax dx n +...
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# Geometry ## Lines & Angles According to the Curve Wikipedia article, lines are required to be straight and so-called curved lines should actually be referred to simply as curves [1]. A horizontal line goes side-to-side or forwards-and-backwards, while a vertical line goes up-and-down. A diagonal line can either re...
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# Words of Life ## A variant of Conway's Game of Life ### First Published: 15/12/22 “I've actually written about it, he [Wittgenstein] talks about how language developed … couple of people are together. One of them points to a rock and says “rock”, and the other one says a “rock”. It's just not even remotely like th...
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# Why some people don't like proofs by contradiction Possible Duplicate: Are the “proofs by contradiction” weaker than other proofs? I have been active on this site for two months and on a few occasions I noticed that some people judge contradiction proofs as being less direct(and less elegant) than proofs which do n...
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# How to turn the robot exactly 90 degrees using ROS? In some courses, we are asked to turn the robot 90 degrees, but it is not given any hint on how to make this. Are there any tips on how to turn exactly 90 degrees so that we don’t waste time trying to figure this out? You can use /odom topic to know the pose of r...
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题目 Given two integers n and k, return all possible combinations of k numbers out of 1 … n. For example, If n = 4 and k = 2, a solution is: [ [2,4], [3,4], [2,3], [1,2], [1,3], [1,4], ] 回溯算法 $O(n^k)$ 代码 public class Solution { public List<List<Integer>> combine(int n, int k) { List<List<Integer>> res = new ArrayL...
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## Logarithm equation Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc. JC531 Posts: 3 Joined: Mon Mar 17, 2014 1:02 am Contact: ### Logarithm equation Hello PM! My teacher assigned my group in class a set of logarithm problems to solve. Yet I'm finding mine to be super t...
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Question 62 # On a certain sum, the Compound Interest and Simple Interest at some rate per cent are Rs.696.30 and Rs.660 respectively in 2 years. Find the sum. Solution Let say , sum is P and rate of interest is r %. So, $$P\times2\times\frac{r}{100}=660.$$ So, $$\frac{\Pr}{100}=330.$$..............................
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# Solid Mechanics Determine the ratio of strenghts of a solid steel column to that a hollow column of the same material and having the same cross sectional area. The internal diameter of the hollow column is 1/2 of its external diameter. Both the columns are same length and are pinned at their both ends 1. 👍 0 2. 👎...
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## Pages ### Trigonometry identities - 1 Trigonometric identity: sin2(θ) + cos2(θ) = 1 In order to prove this trigonometric identity, you will apply the Pythagorean Theorem. Let us consider a right angled triangle ABC as shown below: Image 1: Proof of sin2(x) + cos2(x) =1 In the above right triangle, with respect...
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You are on page 1of 94 # I. WHOLE NUMBERS A. Comprehension of Whole Numbers 1. Read and write numbers through millions in symbolsand in words 1. ## 1 Identify numbers from 100 001 through millions/ billions I. Objective Cognitive: Identify numbers from 100 001 through millions/billions Psychomotor: Write numbers fro...
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# Probability determined from sum of exponentials numerically stable log probability If we have that: $$\tau_i \overset{\text{independent}}{\sim} \exp(\lambda_i)$$, for $$i=1,2,3,...,n$$, where $$\lambda_i\neq \lambda_j, \forall i\neq j$$ then I would like to find a general form for the probability: $$\text{Pr}(\sum_...
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 Solve the radical equation \sqrt{4-x+\dfrac{3}{4-x} }+\sqrt{x+\dfrac{3}{x} } =4 #### Question \sqrt{4-x+\dfrac{3}{4-x} }+\sqrt{x+\dfrac{3}{x} } =4 Collected in the board: Radical equations Steven Zheng posted 6 hours ago Given \sqrt{4-x+\dfrac{3}{4-x} }+\sqrt{x+\dfrac{3}{x} } =4 (1) let x = t+2 (2) then 4-x...
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If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. ## MAP Recommended Practice ### Course: MAP Recommended Practice>Unit 17 Lesson 11: Order of oper...
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# What Is A Line With Two Arrows Called? ## Is a line two dimensional? A line is one-dimensional. So we have two dimensions, or “2D”. Circles, triangles, squares and more are plane shapes. Now we let that point move in another completely different direction and we have three dimensions.. ## Do parallel lines exis...
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# A Helium Nucleus makes a full rotation in a Circle of Radius 0.8 meter in two seconds. The value of B at the centre of the Circle will be Magnetic Field is the region around a magnetic material or a moving electric charge within which the force of magnetism acts. The Magnetic field at the centre of the circle is giv...
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## Conversion formula The conversion factor from cubic inches to fluid ounces is 0.55411255411377, which means that 1 cubic inch is equal to 0.55411255411377 fluid ounces: 1 in3 = 0.55411255411377 fl oz To convert 1493 cubic inches into fluid ounces we have to multiply 1493 by the conversion factor in order to get t...
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# 11665 ## 11,665 is an odd composite number composed of two prime numbers multiplied together. What does the number 11665 look like? This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors. 11665 is an odd composite number. It is composed of two distinct prime numbers m...
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# \$25 50 Miles 2 hours 1Hour Lesson 6-2 Rates ## Presentation on theme: "\$25 50 Miles 2 hours 1Hour Lesson 6-2 Rates"— Presentation transcript: \$25 50 Miles 2 hours 1Hour Lesson 6-2 Rates Students will be able to solve problems involving rates. \$25 2 hours 50 Miles 1Hour Simplify rates so the denominator is 1 So...
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+0 # trig help 0 162 1 http://prntscr.com/nh8ee3 Apr 26, 2019 #1 +19782 +1 This a right tringle with two 45 degree angles    side a   and 7 are the same   a= 7 Pythagorean theorem   s1^2  + s2^2 = hypotenuse^2    ( b is the hypotenuse) 7^2 + 7^2 = b^2 49 + 49 = b^2 98 = b^2        rewrite   b^2 = 98    b =sqr...
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## Recent Theme images by Storman. Powered by Blogger. # DC Circuits Problems and Solutions Problem 1: Find the resistance of a copper wire of 0.75 km long and having a cross sectional area of 0.01 cm2. (Take ρ = 1.72 x 10-8 ohm-m). Given data Length of wire, l = 0.75 km = 0.75 x 103 m Cross sectional area, a = 0....
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# How do you factor x^3+x^2-14x-24? ##### 1 Answer $\textcolor{red}{{x}^{3} + {x}^{2} - 14 x - 24 = \left(x + 2\right) \left(x + 3\right) \left(x - 4\right)}$ #### Explanation: We start from the given 3rd degree polynomial ${x}^{3} + {x}^{2} - 14 x - 24$ Use the monomial $- 14 x$ It is equal to $- 4 x - 10 x$ ${...
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# Matrix norm Short description: Norm on a vector space of matrices In mathematics, we can define norms for the elements of a vector space. When the vector space in question consists of matrices, these are called matrix norms. What sets matrix norms apart from other vector norms is how they interact with multiplicat...
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Squares If you color squares with n colors at the four sides you get (n^4+n^2+2n)/4 one-sided and (n^4+2n^3+3n^2+2n)/8 two-sided distinct pieces. Colors One-sided Pieces Two-sided Pieces Number Examples Number Examples 3 24 6x4 rectangle 21 4 70 10x7 rectangle, 14x7 rectangle 55 5x11 rectangle 5 165 15x11, 33x5 recta...
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# Average Value of a Function ## Definition of Average Value One of the main applications of definite integrals is to find the average value of a function $$y = f\left( x \right)$$ over a specific interval $$\left[ {a,b} \right].$$ In order to find this average value, one must integrate the function by using the Fun...
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## Conversion formula The conversion factor from cubic inches to teaspoons is 3.3246753246849, which means that 1 cubic inch is equal to 3.3246753246849 teaspoons: 1 in3 = 3.3246753246849 tsp To convert 958 cubic inches into teaspoons we have to multiply 958 by the conversion factor in order to get the volume amount...
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#jsDisabledContent { display:none; } My Account | Register | Help # Prime (symbol) Article Id: WHEBN0000724804 Reproduction Date: Title: Prime (symbol) Author: World Heritage Encyclopedia Language: English Subject: Collection: Publisher: World Heritage Encyclopedia Publication Date: ### Prime (symbol) Prime ◌ʹ Do...
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# 76000 (number) 76,000 (seventy-six thousand) is an even five-digits composite number following 75999 and preceding 76001. In scientific notation, it is written as 7.6 × 104. The sum of its digits is 13. It has a total of 9 prime factors and 48 positive divisors. There are 28,800 positive integers (up to 76000) that ...
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Question # A cistern can be filled by a faucet in 40 minutes and by another faucet in 120 minutes. Both faucets are kept open for 20 minutes and then the first faucet is shut off. After this, the cistern will be completely filled in? 30 min 40 min 70 min 90 min 60 min Solution ## The correct option is B 40 min For 2...
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# Precious addition and subtraction of integers Most Effective Written by Ireland May 19, 2021 ยท 8 min read Your Precious addition and subtraction of integers images are ready in this website. Precious addition and subtraction of integers are a topic that is being searched for and liked by netizens now. You can Find...
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SAT香港考试团启航梦想 # SAT物理必会公式 2014-11-26 11:35     供稿单位: 新航道 SAT物理考试中公式的掌握非常重要,新航道小编整理SAT物理考试必会公式,供大家参考。 Physics Formulas - Mechanics Kinematics Formulas The Kinematic Equations apply to one-dimmensional motion with costant acceleration from point 1, situated d1 from a point of reference to point 2, situated d2 from t...
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HP-35A/21 D.MS<-->Decimal degrees routines « Next Oldest | Next Newest » ▼ Matt Agajanian Unregistered Posts: 980 Threads: 239 Joined: Aug 2006 03-28-2012, 08:50 PM Hello all, In that the HP-21 (Woodstock) and HP-35 (Classic) do not have conversions to and from degrees to degrees/minutes/seconds, has anyone devised a...
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of 12 • date post 14-Jan-2017 • Category ## Technology • view 160 2 Embed Size (px) ### Transcript of BigData - PageRank Algorithm with Scala and Spark • PageRank - Spark/ScalaYubraj Pokharel • PageRank Algorithm Implementation in Spark • What is PageRank? PageRank of a web page is a number given to the pag...
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# How long will a ball of ice stay in orbit around Earth? We are searching data for your request: Forums and discussions: Manuals and reference books: Data from registers: Wait the end of the search in all databases. Upon completion, a link will appear to access the found materials. How big would a ball of frozen wa...
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Let’s have some fun… If we look back into history we can see that many well respected scientists and philosophers such as Newton, Pythagoras, Einstein, Plato and civilizations such as the Ancient Babylonians, Greeks and Egyptians dedicated their lives to exploring and studying numbers and their importance in our lives...
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1. Proving 1. $(1-2sin^2(x))^2 + 4sin^2(x) cos^2(x) =1$ 2. $2sin(x) cos^3(x) + 2sin^3(x)cos(x) = sin(2x)$ 3. $(1/4)sin (4x) = sin (x) cos^3(x) - cos (x) sin^3(x)$ 2. The first one is not bad at all. Just expand out, but first sub in $cos^{2}(x)=1-sin^{2}(x)$ $(1-2sin^{2}(x))^{2}+4sin^{2}(x)(1-sin^{2}(x))$ $1-4sin...
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# How do you find vertical, horizontal and oblique asymptotes for f(x) =(x^2+4x-7)/(x-7)? Nov 2, 2016 The VA Is $x = 7$, the OA is $y = x + 11$, and there is no HA. #### Explanation: $\frac{{x}^{\textcolor{red}{2}} + 4 x - 7}{{x}^{\textcolor{b l u e}{1}} - 7}$ To find the vertical asymptote (VA), set the denominat...
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Ex 1.3 Chapter 1 Class 6 Knowing our Numbers Serial order wise This video is only available for Teachoo black users Get live Maths 1-on-1 Classs - Class 6 to 12 Transcript Ex 1.3, 2 Give a rough estimate (by rounding off to nearest hundreds) & also a closer estimate (by rounding off to nearest tens) : Make four mo...
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# Piecewise function on boundary condition Consider this initial-boundary-value problem: $$\frac{\partial u}{\partial t}=\frac{\partial^2u}{\partial x^2}+\frac{\partial^2u}{\partial y^2},\quad \Omega=(0,1)\times(0,1),\quad t>0.$$ $$u(x,0,t)=1,u(x,1,t)=0,u_x(0,y,t)=u_x(1,y,t)=0,\quad t>0$$ $$u(x,y,0)=0,\quad (x,y)\in\O...
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Q. 17 # A square piece of tin of side 18 cm is to be made into a box without top, by cutting a square from each corner and folding up the flaps to form the box. What should be the side of the square to be cut off so that the volume of the box is the maximum possible? Let the side of the square to be cut off be x, the...
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22839 (number) 22,839 (twenty-two thousand eight hundred thirty-nine) is an odd five-digits composite number following 22838 and preceding 22840. In scientific notation, it is written as 2.2839 × 104. The sum of its digits is 24. It has a total of 3 prime factors and 8 positive divisors. There are 14,520 positive inte...
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Fibonacci retracement Fibonacci retracement levels shown on the USD/CAD currency pair. In this case, price retraced approximately 38.2% of a move down before continuing. In finance, Fibonacci retracement is a method of technical analysis for determining support and resistance levels. They are named after their use of...
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# Graph isomorphism In graph theory, an isomorphism of graphs G and H is a bijection between the vertex sets of G and H ${\displaystyle f\colon V(G)\to V(H)}$ such that any two vertices u and v of G are adjacent in G if and only if ${\displaystyle f(u)}$ and ${\displaystyle f(v)}$ are adjacent in H. This kind of bij...
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# The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected and Some of Euclid's Demonstrations are Restored. Also, The Book of Euclid's Data, in Like Manner Corrected. viz. The first six books, together with the eleventh and twelfth A. Foulis, 1781 - 466 Seiten ...
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Get an answer in 5 minutes Ask a question to our educators MATHS # Find, to 1 decimal place, the values of θ in the interval 0 ⩽ θ ⩽ 180° for which 4root3 sin (3theta + 20degrees) = 4 cos (3theta+ 20degrees)? Make 3thetha + 20 = y So you’ll have: 4root3 siny = 4 cos y Then divide both sides by cos y So 4 root 3siny/...
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## Sunday, November 6, 2016 ### Excel Recalculation: Fixed Point Iterations When we have circular references in our Excel spreadsheet, we can have Excel do a (large) number of iterations in the hope this converges to a solution. Mathematically speaking we could say this is like: $x_{i,j} := f_{i,j}(X)$ where $$x_{...
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# taylor series power question.. • Jan 13th 2010, 11:11 AM transgalactic taylor series power question.. when i develop the series of a cosine i have a (-1) member i wanted to represent the series as a sum so i need to take only the odd members so the power of -1 is 2k+1 i got but the solution says that the power of -1...
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You are Here: Home >< Maths # So confused with partial fractions 3 linear factor [one repeated] ??? Watch 1. But isn't it suppose to be.. A(x+1)(x+1)2 + B(2x+1)(x+1)2 +C(2x+1)(x+1) Attached Images 2. No. Look at how that step works. You're multiplying every term in the top line by (2x + 1)(x + 1)2. Look at what th...
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• 0 Guru # Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:(v) The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the bread...
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# The World of Microns 1 teachers like this lesson Print Lesson ## Objective SWBAT to use their understanding of exponents and place value to translate very small numbers between standard decimal form and scientific notation. #### Big Idea Students can accept that 1 micron = 10^-6, but they often struggle with a m...
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# Correlation ## Correlation : Correlation is a statistical measure that indicates the strength of a relationship between two variables. It is used to describe the extent to which two variables are related and how they vary together. One example of correlation is the relationship between a person’s height and weight....
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# Using the generalized pigeonhole principle we can • Notes • 11 This preview shows 4 out of 6 pages. Using the generalized pigeonhole principle we can conclude that among 100 people, there are at least 100 / 12 = 9 who are born in the same month. Example. Suppose each point in the plane is colored either red or blu...
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# Question about units in photonics calculation My textbook has a photonics example problem, where the absorbed light energy density is calculated as $$\Psi = 25 \times 9.55 = 238.75 \text{mJ/cm^3} = 2.38 \times 10^5 \text{J/m}^3$$ I'm new to physics, so I'm trying to understand how unit conversions work. $$\Psi = ...
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# Easy way to learn Number System The number system is the naming or representing the numbers or the mathematical value that count or measure the object is simply known as number system. We have different ways to represent the number system like Binary number system, decimal number system, octal number system, and Hex...
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# What Are Exponential And Logarithmic Functions, And How Do They Work? ###### Synopsis Exponential and logarithmic functions are incredibly valuable in comprehending rapid growth or decline, like in the case of COVID-19. This article delves into the principles of exponential and logarithmic functions, exploring thei...
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## Sunday 1st May 2016 Hello and welcome to the newsletter for May 2016 which begins with this month’s puzzle for your pondering pleasure! A particular triangle is drawn such that each of its angles are square numbers. What are those angles? Too easy? Well consider a quadrilateral having all four angles as square nu...
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# mass cyclist together with bike 90kg calculate increase in k.E speed increase 6km/h to 12km/h Sharandeep singh 15 Points 11 years ago initial kinetic energy is 1/2*m*v^2 1/2 * 90 * 36 = 1620 final k.e. 1/2 * 90 * 144 =6480 increse = 6480 - 1620 = 4860 j simmie jaglan 18 Points 11 years ago given mass=90 u=(6*...
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× EASY # PREREQUISITES Simple Math, Dynamic Programming # PROBLEM You are given a function random(N), that returns a uniform random integer between 0 and N-1. You are also given a function RDF defined as follows RDF(N,K) repeat K times N = random(N) return N Now, given N and K, find the expected value of RDF(N...
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# Numerical semigroup In mathematics, a numerical semigroup is a special kind of a semigroup. Its underlying set is the set of all nonnegative integers except a finite number and the binary operation is the operation of addition of integers. Also, the integer 0 must be an element of the semigroup. For example, while t...
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posted by Samantha 4. Find the tangent line approximation, L(x), of f(x)=x^2/3 at x = 8. L(x) = 4/3x-20/3 L(x) = 2/3x+8 L(x) = 4(x-8) L(x) = 1/3x + 4/3 *L(x) = 4/3x - 8/3 5. A balloon is rising at a constant speed of 5 ft/sec. A boy is cycling along a straight road at a constant speed of 15 ft/sec. When he passes und...
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# Go-Kart Acceleration Calculator, Formula, Go-Kart Acceleration Calculation ## Go-Kart Acceleration Calculator: Enter the values of Force Generated by the Go-Kart Engine Fgk(N) , Mass of the Go-Kart mgk(kg) & Mass md(kg) of the Driver to determine the value of Go-Kart Acceleration A(m/s2). Enter Force Generated by...
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# physic posted by . if a ballon gets launched at 60mi/hr at an angle of 38 degrees. How far will it travel in meters? • physic - A ball or a balloon? Balloons are not launched at a high speed, and have appreciable aerodynamic drag and buoyancy. You probably mean "ball" 60 mph is 88 ft/s or 26.8 m/s An object l...
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Categories # How to Calculate Percentage Change in Excel Do your eyes gloss over when you think about calculating percentage change in Excel? Whether you want to compare the initial value of an investment to its current value or analyze the amount you’ve spent on utility bills from one year to the next, calculating ...
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