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2014-05-28T20:33:42-04:00 Mode: is the value that occurs most often. median:  is the middle value mean: is the usual average 2014-05-28T20:37:24-04:00 Mean and average are the same things Average = Add all the numbers together and divide the sum by the number of numbers you added: 2 + 4 + 6 = 12, 12 ÷ 3 = Mode = The ...
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Largest word tree I was inspired by this awesome puzzle. Here is an image of a word tree borrowed from there: In a word tree every path from the root to the leaves must form a distinct word. The size of the tree is the number of distinct words it forms in this way. The size of this tree is 16 as it forms 16 distinct ...
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Maths Std 6 Ch 5 Exercise 5.2 Video - Maths Science Corner Maths Science Corner Math and Science for all competitive exams NCERT Maths Standard 6 (Class 6) (Understanding Elementary Shapes) On maths science corner you can now get new NCERT 2019 Gujarati Medium Textbook Standard 6 Maths Chapter 05 Paaya na Aakaro ...
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# 93.76 kg to lbs - 93.76 kilograms to pounds Do you need to know how much is 93.76 kg equal to lbs and how to convert 93.76 kg to lbs? Here it is. This whole article is dedicated to kilogram to pound conversion - both theoretical and practical. It is also needed/We also want to point out that all this article is dedi...
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# How to Calculate Square in R You can square a number, vector, matrix, and data frame in R. This guide will show you how to calculate the square of a single value, vector, matrix, and data frame in R. ## Calculate the Square of a Single Value in R There are 3 ways to calculate the square of a vector in R. ### Meth...
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# How to find a crticial edge in a flow network? The complete question is as follows: An edge of a flow network is called critical if decreasing the capacity of this edge results in a decrease in the maximum flow. Give an efficient algorithm that finds a critical edge in a network. I believe some variation of Ford-F...
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## Homework Statement Maximizing the function f(X)=6X-1/2X^2+82. That's it, so 6X-1/2X^2+82 = 82-1/2(X^2-12X) = 82-1/2(X-6)^2+18. So f(X)=100-1/2(X-6)^2. Since (X-6)^2 is positive for any X not =6, than the max is x=6. The part I don't understand is when rearranging the function, how do you get from -1/2(X^2-12X) to -...
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# A summation question 1. May 8, 2006 ### Hummingbird25 HELP: A summation question Hi Given the sum $$\sum _{p=0} ^{\infty} (-1)^p \frac{4p+1}{4^p}$$ I have tried something please tell if I'm on the right track Looking at the alternating series test (a) $$1/(4^{p+1}) < (1/(4^p))$$ (b) $$\mathop {\lim }\limits...
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Lesson 4, Topic 1 In Progress # The Cyclic Event Lesson Progress 0% Complete A good example of cyclic event is the 12-hour clock. In the 12-hour clock arithmetic, the hour hand can move in both directions as shown the diagram Example 1 If the time is presently 9 o’clock, what would the time be in   (i) 92 hours ...
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# What is negative Resistance I have heard some people talk a bit about negative resistance, but I have never really understood it. What is negative resistance? • Commented Oct 27, 2013 at 5:18 Negative Resistances is a behavior in which the current and voltage are inversely proportional to each other. A normal circ...
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Question Video: Area Under a Curve as an Integral | Nagwa Question Video: Area Under a Curve as an Integral | Nagwa # Question Video: Area Under a Curve as an Integral Mathematics • Third Year of Secondary School ## Join Nagwa Classes The curve shown is 𝑦 = 1/π‘₯. What is the area of the shaded region? Give an e...
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Requires you to understand that the number such as 385 is in fact three 100’s eight 10’s and five 1’s. Or           300 + 80 + 5 And this place value system is called the decimal system. Remember this is better than adding pounds shillings and pence. NOTE: d = pennies = 12 pennies in a shilling S = shillings = 20...
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## What is a number? A number is a mathematical quantity, usually correlated in electronics to a physical quantity such as voltage, current, or resistance. # Numbers and Symbols ## Chapter 1 - Numeration Systems The expression of numerical quantities is something we tend to take for granted. This is both a good and...
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# Time dilation in an elliptical orbit 1. Sep 21, 2015 ### Keermalec The formula for time dilation in a circular orbit is readily available but the literature seems to indicate it would not be so simple in the case of an elliptical orbit, and no simple formula seems to be available. Given that time dilation in a ci...
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# Understanding Negative Numbers in -2x |X| < 4 Equation • brycenrg In summary: Thanks for the reply, but aren't you graphing -2*|x| for the interval -4 ≤ x ≤ 4?For example f(-3) = -6 because -2 *|-3| = -6?thats why I am thinking the graph at -4 ≤ x ≤ 0 should be negative numbers not positiveNo, -2*|x| is the same as ...
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# What's the minimum value of this function? I am considering these functions: For $i=1,\ldots,n$, define $$f_i(\lambda_1,\dots,\lambda_n)=\frac{1}{(n-2)^2}\sum_{k,l\neq i}(\lambda_k-\lambda_l)^2-\frac{2n}{n-2}\sum_{k=1}^n\lambda_k^2.$$ Suppose that $$\lambda_1+\cdots+\lambda_n=R$$ where $R$ is a positive constant. I ...
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$$\require{cancel}$$ 8.4: Rydberg Formula An electron in a given stationary state of a hydrogen atom, characterized by the quantum numbers $$n$$, $$l$$, and $$m$$, should, in principle, remain in that state indefinitely. In practice, if the state is slightly perturbed—for instance, via interaction with a photon—then ...
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% P91 (**) Knight's tour % Another famous problem is this one: How can a knight jump on an % NxN chessboard in such a way that it visits every square exactly once? % knights(N,Knights) :- Knights is a knight's tour on a NxN chessboard knights(N,Knights) :- M is N*N-1, knights(N,M,[1/1],Knights). % closed_knights(N,Knig...
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# Simplify 2(5(x+y)-2(3x+y)) and 5(3a-2a(3a+6b)+6a^2) The expressions 2(5(x+y)-2(3x+y)) and 5(3a-2a(3a+6b)+6a^2) have to be simplified. 2(5(x+y)-2(3x+y)) = 2(5x+5y-6x-2y) = 2(-x+3y) = -2x + 6y 5(3a-2a(3a+6b)+6a^2) = 5(3a-6a^2 - 12ab +6a^2) = 5(3a - 12ab) = 15a - 60ab The simplified form of 2(5(x+y)-2(3x+y)) =...
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# Looking for a closed and discrete subspace of a product space I had long suspected that there probably is an uncountable closed and discrete subset of the product space of uncountably many copies of the real line. Then I found the statement in the Encyclopedia of General Topology (page 76 in [3]) that “for every inf...
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# Area Interpretation to Evaluate The Integral 1. Jun 30, 2006 ### swears From 0 to 4. ( I don't know how to make the s sign.) $$squareroot of (16-x^2)$$ I set it equal to y and squared it to get. $$y^2 = 16 - x^2$$ Then I changed it to: $$Y^2 + X^2 = 16$$ I know it's a semi circle on the x axis at 0 to 4. Wh...
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# Application of the mean value theorem to a Taylor series I am working on a practice problem and there is step in the solution that deals with the application of the mean value theorem (MVT) in a Taylor series. The problem is asking for a condition on $f''(x)$ s.t. $\{(x,y)\in\mathbb{R}:y\ge f(x)\}$ is convex if $f:\...
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PDA View Full Version : Rare stud/8 situation... 08-26-2002, 10:53 PM I was playing stud/8 tonight and found myself ina rare situation. I was dealt rolled up 2's and I wasnt the bring-in. What is the probability that on the next hand I play i will be dealt rolled up 2's and wont be the bring in? (8-handed) 08-27-200...
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# Understanding the Area Moment of Inertia Let’s say we have a plank of wood which we would like to use to cross a canal. It has a rectangular cross-section and so we could either use it like we have done here, or we could rotate it onto its side, like this. Intuitively we can tell that the plank will be stiffer if th...
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How to calculate rate of sales in excel 9 Dec 2019 Let's say you have your total sales for each month. The values look OK but you want to calculate the percentage increase (or decrease) between Step 1: Find the discount. We know that we need a formula that will calculate 15 % of \$78.77. Whenever you see the phrase "...
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Related Articles # Difference between lexicographical ranks of two given permutations • Last Updated : 29 May, 2021 Given two arrays P[] and Q[] which permutations of first N natural numbers. If P[] and Q[] are the ath and bth lexicographically smallest permutations of [1, N] respectively, the task is to find | a − ...
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Successfully reported this slideshow. Upcoming SlideShare × # Triangle and its properties 37,422 views Published on • Full Name Comment goes here. Are you sure you want to Yes No ### Triangle and its properties 1. 1. By Azam Khan7-B 2. 2. The sum of the angles in a triangle isalways equal to 180.This property i...
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# Equivalent Equations in Algebra Equivalent equations are algebraic equations having identical solutions or roots. Identifying, solving, and forming equivalent equations is a valuable algebra skill in both the classroom and everyday life. Here are examples of equivalent equations, the rules they follow, how to solve ...
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$A_{\infty}$ singularity - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-26T03:46:42Z http://mathoverflow.net/feeds/question/98392 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/98392/a-infty-singularity $A_{\infty}$ singularity IMeasy 2012-05-30T15:39:01Z 201...
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Covariance between $\left\{1, 2, 3, 4, 5\right\}$ and $\left\{1, 3, 6, 5, 8\right\}$ The calculator will find the covariance between $\left\{1, 2, 3, 4, 5\right\}$ and $\left\{1, 3, 6, 5, 8\right\}$, with steps shown. Related calculator: Correlation Coefficient Calculator Comma-separated. Comma-separated. If the ca...
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# Table of derivatives The primary operation in differential calculus is finding a derivative. This table lists derivatives of many functions. In the following, f and g are functions of x, and c is a constant. The set of real numbers is assumed. These formulas are sufficient to differentiate any elementary function. ...
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# A continuous function y = f(x) is known to be negative at x= 4 and positive at x = 9. Why does the equationf(x) = 0 have at least one solution between x= 4 and x= 9? Illustrate with a sketch.Why does the equation f(x) = 0 have at least one solution between x= 4 and x= 9?O A. f(x) = 0 has at least one solution between...
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1 / 33 # Business Statistics for Managerial Decision - PowerPoint PPT Presentation Business Statistics for Managerial Decision. Comparing two Population Means. Comparing Two means. How do small businesses that fail differ from those that succeed? I am the owner, or an agent authorized to act on behalf of the owner, ...
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ABC is an acute angled triangle. The bisector of /_ BAC intersects BC at D. BE is a perpendicular drawn on AC from B. Points E and D are joined. Show that /_CED>45^o How to show? Apr 30, 2016 Some thoughts to begin an answer... Explanation: OK, here's a diagram to start: Let: $\left\{\begin{matrix}A = \left(0 0\r...
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Search a number 15211 = 74153 BaseRepresentation bin11101101101011 3202212101 43231223 5441321 6154231 762230 oct35553 922771 1015211 1110479 128977 136c01 145787 154791 hex3b6b 15211 has 8 divisors (see below), whose sum is σ = 18144. Its totient is φ = 12480. The previous prime is 15199. The next prime is 15217. Th...
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# Trouble understanding ij-element of a matrix Let $\;f:\mathbb R^n \rightarrow \mathbb R^m\;$ and $\;G:\mathbb R^m \rightarrow \mathbb R_{+}\;$ and consider the $\;n\times n\;$ tensor $\;\mathcal A=(a_{ij})_{1\le i,j \le n}\;$ where $\;a_{ij}=f_{x_i} \cdot f_{x_j} -{\delta}_{ij}(\frac{1}{2} {\vert \nabla f \vert}^2+G...
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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. Course: Algebra (all content)>Unit 10 Lesson 36: Introduction to symmetry of functions Function s...
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Courses Courses for Kids Free study material Offline Centres More Store # Sushma bought a saree from the mall. She paid Rs.2640 for it. When she came home she measured the length of the saree, she found that the saree was half meter less in length then what the shopkeeper had told her. She found that she is at a loss ...
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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 2017-07-31 18:45:56 Abbas0000 Member Registered: 2017-03-18 Posts: 11 Polynomial Why something with negative exponent or a variable at denominator is not allowed to be called ...
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# 8.5 Summary of key concepts Page 1 / 1 This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module reviews the key concepts from the chapter "Techniques of Estimation." ## Summary of key concepts Estimation is the process of determining an expected value of a computation. #...
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# coordinate geometry #### thorpelizts ##### New member find the equation of a circle whose center falls ont he line y=6-2x and which passes through the points A(-2,0) and B(4,0). poor in circles. how to even start? #### Sudharaka ##### Well-known member MHB Math Helper find the equation of a circle whose center f...
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# Calculating the rotation in radians of a circle rolling x distance Okay, this is my first attempt at posting a question on this site, so please be forgiving. Let's say I have a circle with 120cm diameter and it rolls a distance of 1 meter. How do I calculate the rotation it has made in radians? - Hint: How long i...
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# Angle of reflection with moving mirror, SR (1 Viewer) ### Users Who Are Viewing This Thread (Users: 0, Guests: 1) #### SpaceTrekkie 1. The problem statement, all variables and given/known data A mirror moves perpendicular to its plane with speed (beta)c. A light ray is incident on the mirror from the \forward" di...
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# Integration, get stuck at x=tan($\theta$) when calculating arc length I am learning to calculate the arc length by reading a textbook, and there is a question However, I get stuck at calculating $$\int^{\arctan{\sqrt15}}_{\arctan{\sqrt3}} \frac{\sec{(\theta)} (1+\tan^2{(\theta)})} {\tan{\theta}} d\theta$$ How can ...
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Latest SSC jobs   »   RRB NTPC Mathematics Quiz : 4th... # RRB NTPC Mathematics Quiz : 4th September Dear aspirants, As you all know, RRB NTPC Exam will be held in the month of September-October 2019. So we are here to help you with the Mathematics subject. We are providing daily quantitative aptitude quizzes, which...
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# Algebra II : Adding and Subtracting Logarithms ## Example Questions ### Example Question #31 : Adding And Subtracting Logarithms Simplify the log: Explanation: This question will require the product and quotient properties. Product: Quotient: Evaluate the first two terms according to the formula. ### Example...
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# Difference between revisions of "Solving the equation for thickness evolution" ## A generic conservation equation Evolution of the ice sheet geometry is simply the result of mass conservation. Consider a generic conservation equation for some scalar value φ $\frac{\partial \varphi }{\partial t}=-\nabla \cdot \vec{...
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equate real parts: $$4m + 4n = 16$$; equate imaginary parts: $$-5m = 15$$ A1 ... International Baccalaureate® - Baccalauréat International® - Bachillerato Internacional® Please give some proofs, or some good explanations along with replies. The complex conjugate of a + bi is a – bi, and similarly the complex conjugate ...
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Home » General Knowledge » Math » Time, Distance and Work Maths Online Quiz Test Time, Distance and Work Maths Online Quiz Test Test Instructions Test Name : Time, Distance and Work Maths Online Quiz Info Test Subject : General Math Test Test Type : Mcqs Total Question : 15 Total Marks : 30 Total Time : 15 Minutes ...
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# A Bag of Marbles – Math in Everyday Life We teach our young kids all the basic math concepts additiion , subtraction, multiplication and division. Soon they master it and we move on to teach them fractions and decimals and so on. We have taught them 2+5 is 7 and 8 X 9 is 72. Now it’s time to connect the math they le...
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# Why have oscillating hoops the same frequency while swinging? [closed] How can you explain that a group of circular hoops of radius R, which are hung over a knife edge, (with different lengths) have the same frequency when brought in oscillation? Let's say that the hoops are made of one big hoop and then cut into s...
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## Example to show that a polynomial of order n or less that passes through (n+1) data points is unique. Problem: Through three data pairs (0,0), (3,9) and (4,12), an interpolating polynomial of order 2 or less is found to be y=3x. Prove that there is no other polynomial of order 2 or less that passes through these th...
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Courses Courses for Kids Free study material Offline Centres More Store # If ${}^n{P_r} = {}^n{P_{r + 1}}$ and ${}^n{C_r} = {}^n{C_{r - 1}}$ , find n and r. Last updated date: 22nd Jul 2024 Total views: 453k Views today: 7.53k Verified 453k+ views Hint: By the use of Permutation and Combination formulae and propertie...
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# Father 7 Father is 6 times older than his son. After 4 years, the father will only be 4 times older. What are their present ages? Result f =  36 s =  6 #### Solution: f=6s f+4 = 4(s+4) f-6s = 0 f-4s = 12 f = 36 s = 6 Calculated by our linear equations calculator. Leave us a comment of example and its solutio...
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# Calculus posted by on . 1. A triangular prism has vertices at A(2, 0, 0), B(2, 1, 3), C(2, 2, 0), D(0, 0, 0), E(0, 1, 3), and F(0, 2, 0). Which image point has the coordinates (1, 4, 3) after a translation using the vector 1, 2, 3? 2. What point represents a reflection of B over the xy-plane? B'(?) 3. The vector ...
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## Wednesday, February 16, 2011 ### Kathleen's Scribepost for February 16, 2011 Multiplying Binomials by Monomials Today, we started out with an equation to solve. - ( x + 7 ) How to solve: = -1 ( x + 7 ) = -1x + (-1)(7) = -x -7 Next equation: 2(3x + 4) Solve: = 2(3x)+2(4) or 3x+4+3x+4 = 6x + 8 This is called ...
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It is currently 18 Nov 2017, 03:32 ### 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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Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack It is currently 23 May 2017, 12:45 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Dail...
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# Game complexity Last updated Combinatorial game theory has several ways of measuring game complexity . This article describes five of them: state-space complexity, game tree size, decision complexity, game-tree complexity, and computational complexity. ## Measures of game complexity ### State-space complexity Th...
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# Tag Archives: fair sharing ## Children’s experiences with partitioning [TDI 3] If you watch this video, you will see a pretty standard U.S. treatment of introductory fraction material. PLEASE understand that this is not about Sal Khan or Khan Academy. What you see in that video is what happens in many, many elemen...
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Upcoming SlideShare × # Aproximacion numerica 666 views Published on 0 Likes Statistics Notes • Full Name Comment goes here. Are you sure you want to Yes No • Be the first to comment • Be the first to like this Views Total views 666 On SlideShare 0 From Embeds 0 Number of Embeds 20 Actions Shares 0 8 0 Likes 0 E...
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# Tangential Speed 1. May 12, 2008 ### grouchy [SOLVED] Tangential Speed A 4k ball is attached to a vertical rod with a cord 1.6 m long. As the ball rotates around the vertical rod in a circle of radius R = 0.8 m, what is the tangential speed of the ball? Any help is appreciated. 2. May 12, 2008 ### sirzerp You...
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{[ promptMessage ]} Bookmark it {[ promptMessage ]} # sol5 - AMS 540 MBA 540(Fall 2010 Estie Arkin Homework Set 5... This preview shows pages 1–2. Sign up to view the full content. AMS 540 / MBA 540 (Fall, 2010) Estie Arkin Homework Set # 5: Solution notes 1). (a). z x 1 x 2 x 3 x 4 x 5 x 6 RHS 1 2 3 -1 -12 0 0 0 ...
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Solution Notes (Richard Peng): Two cows can reach each other if and only it is the case that, for each polygon, both cows are either in the interior of that polygon, or in the exterior. A community of cows is just a set of cows that are on the same "side" of each polygon. (A formal rigorous mathematical proof of this i...
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# Finding a fixed subfield of $\mathbb{Q}(t)$ I'm looking at automorphisms $t \to 1-t$ and $t \to \frac{1}{t}$ of the field $\mathbb{Q}(t)$. By looking at the relations between these I think I've found the group generated by them to be $S_3$. Now I'm trying to find the fixed fields, call these $F$. For the first one ...
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Stay informed with the Articles in this Series Best of John Robison # Ask the Slot Expert: Risk analysis and video poker, Part 3 28 April 2021 Question: I usually play Hot Roll Video Poker, ten hands at 5-cent, 10-cent and 25-cent denomination. The game of choice is 8/5 Double Double Bonus or 9/5 for 25-cent denomin...
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# Which of the following elements would you expect to be most reactive, based on the number of valence electrons it has? A.Magnesium (Mg) B.Sodium (Na) C.Aluminum (Al) D.Sulfur (S) Explanation: Sodium is a group 1 element and its atomic number is 11. So, it has only one valence electron. Magnesium is a group 2 eleme...
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## Friday, 7 November 2014 ### Rounding to the nearest I occasionally find myself having a disagreement with teachers and others involved in assessment who want to set children a test question in which to get the mark you have to assume that, for example, 148.5  rounded to the nearest whole number is 149. My argument...
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# Logic and Early Math Lesson - Represent Problems Using Number Sentences, Subtraction Story Problems (#'s 1-5), Preschool In the lesson titled "Represent Problems Using Number Sentences," preschool students embark on a fascinating journey into the world of subtraction through engaging story problems within the number...
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# science - physics posted by . A plane flies with a velocity of 52 m/s east through a12 m/s cross wind blowing the plane south. Find the magnitude and direction (relative to due east) of the resultant velocity at which it travels. • science - physics - Just set up the vectors representing the forces (velocities, e...
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If N is an odd integer between 2 and 30, how many distinct : DS Archive Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack It is currently 20 Jan 2017, 21:48 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your performa...
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# 13700 in words 13700 in words is written as Thirteen Thousand Seven Hundred. In 13700, 1 has a place value of ten thousand, 3 has a place value of thousand and 7 has a place value of hundred. The article on Place Value gives more information. The number 13700 is used in expressions that relate to money, distance, le...
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Please click the following links to get math printable math worksheets for grade 10. Given the explicit formula for an arithmetic sequence find the first five terms and the term named in the problem. Arithmetic Geometric Series Mazes Geometric Series Geometric Sequences Arithmetic ### This set of worksheets lets 8th ...
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# Video: Pack 4 β€’ Paper 3 β€’ Question 20 Pack 4 β€’ Paper 3 β€’ Question 20 03:36 ### Video Transcript Shown is a circle with centre 𝑂. 𝐴, 𝐡, and 𝐢 lie on the circumference of the circle. Prove that 𝑦 is equal to two π‘₯. Do not use any circle theorems in your proof. This is an example of a geom...
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## 13231530 13,231,530 (thirteen million two hundred thirty-one thousand five hundred thirty) is an even eight-digits composite number following 13231529 and preceding 13231531. In scientific notation, it is written as 1.323153 × 107. The sum of its digits is 18. It has a total of 7 prime factors and 96 positive divis...
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# Question Video: Finding the Probability of Dependent and Independent Events Occuring in a Real Context Mathematics • 7th Grade A shelf in a bookstore contains 30 copies of a book, 4 of which have been signed by the author. A customer takes one of the copies off the shelf at random and looks through it. Some time lat...
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# How can i simplify this function? Status Not open for further replies. #### life24 ##### Newbie level 6 Hi, (A+B) XOR A and (A' + B) XOR A And explain this. thank you #### TSS1990 ##### Newbie level 3 (a+b)xor a = (a+b)a'+(a+b)'a = ba'+a'b'a = ba' (a'+b)xor a = (a'+b)a'+(a'+b)'a = (a'+ba')+ab'a = a'+ab' = a'+b'...
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# Understanding Linear Algebra ## Section2.5Matrix transformations The past few sections introduced us to matrix-vector multiplication as a means of thinking geometrically about the solutions to a linear system. In particular, we rewrote a linear system as a matrix equation $$A\xvec = \bvec$$ and developed the concep...
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# Probability, Events and Outcomes - PowerPoint PPT Presentation 1 / 17 SWBAT: Define probability, event & outcomes Determine the probability of a “favorable” even occurring. Probability, Events and Outcomes . Yo yo yo welcome back!!!!!!!! Happy NEW YEAR!. An experiment is a situation involving chance or probability ...
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# What makes a good mathematical justification? One of the biggest challenges a lot of students face when learning college-level mathematics is justifying one’s work. It’s not enough in a true college-level math course to compute a right answer; you must be able — at least in theory and most of the time in practice — ...
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Kathy Williams 2021-12-30 ${x}^{2}-13x+12$ Jenny Bolton Expert The given quadratic polynomial is ${x}^{2}-13x+12$. It is factored as follows. ${x}^{2}-13x+12={x}^{2}-12x-x+12$ =x(x-12)-1(x-12) =(x-12)(x-1) Thomas Nickerson Expert Is Given equation is ${x}^{2}-13x+12$ $⇒{x}^{2}-13x+12$ $⇒{x}^{2}-12x-x+12$ $⇒{x}^...
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1. Jan 27, 2010 ### songoku 1. The problem statement, all variables and given/known data Find the value of m and n, where m and n are integer, so that P(x) = x3 + mx2 – nx - 3m and Q(x) = x3 + (m – 2) x2 –nx – 3n have common quadratic factor. 2. Relevant equations 3. The attempt at a solution Is m = n = 0 one of th...
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## Algebra 2 (1st Edition) $w(1)= 165.74$ $w(2)= 159.48$ $w(3)= 153.22$ $w(4)= 146.96$ $w(5)= 140.7$ According to the dynamic of the range, the acres used to grow watermelons were decreasing throughout this period. The function is given: $w(t)=-6.26t+172$ Where $t$ is the number of years since $1999$. The value of $t$...
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Section 6: Functions continue97 Let’s work an example using LOG . The village of Musser has installed a 12-o’clock whistle in the firehouse steeple near the center of the village. If the sound level at the steeple (2.2. meters from the whistle) is 138 decibels, will resident near the edge of the town, three kilometers...
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Module Information Module Identifier MA11110 Module Title Mathematical Analysis 2021/2022 Co-ordinator Semester Semester 2 Pre-Requisite Pre-Requisite Other Staff Assessment Due to Covid-19 students should refer to the module Blackboard pages for assessment details Assessment Type Assessment length / details Propor...
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# Probability This is a lottery odds question. It involves the Mega Millions, where 5 numbers are selected from the intergers 1-56 (without replacement) then a special 6th ball is selected from a new set of intergers 1-46. The odds of winning are 1/175711536. If exactly 200,000,000 random numbers are entered, what is ...
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# Poisson Distribution • Oct 7th 2010, 08:26 AM JJ007 Poisson Distribution A cement pylon is considered safe if the hairline cracks are spread out and occur on the average of 1.2 cracks per 10-ft length of cement. In a 40-ft section of the cement pylon, what's the probability of 4 or more hairline cracks? $P(X=x)=\fr...
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Find answers to all questions with us # What is the ratio of 500 meters to a kilometer? ## What is the ratio of 500 meters to a kilometer? Answer: The ratio will be 1:4. ## What fraction of km is 500 meters? To convert meters to km, multiply the meter value by 0.001 or divide by 1000. For example, to convert 500 m...
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# 11. Find the angle between the following pair of lines:     (i)     $\frac{x-2}{2}= \frac{y-1}{5}= \frac{z+3}{-3}$ and $\frac{x+2}{-1}= \frac{y-4}{8}= \frac{z-5}{4}$ Given lines are; $\frac{x-2}{2}= \frac{y-1}{5}= \frac{z+3}{-3}$  and  $\frac{x+2}{-1}= \frac{y-4}{8}= \frac{z-5}{4}$ So, we two vectors $\vec{b_{1}}\...
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# Implicit Function Theorem implies the Inverse Function Theorem I want to prove that the implicit function theorem implies the inverse function theorem. I saw in another post what's written below as the proof for this but I don't understand what they've done. $$\text{ For } f : \mathbb{R}^n \to \mathbb{R}^n \text{, ...
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# Sets and Types ## Set theory A set is a collection of objects with no further structure. Thus, the only property (or function) associated with a set $S$ is membership - a different object $x$ may or may not belong to $S$ (denoted as usual $x\in S$). It is natural to try to reverse this and consider, for any proper...
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Friday, December 1, 2023 HomeMathWorksheet on Three-digit Numbers | Write the Lacking Numbers # Worksheet on Three-digit Numbers | Write the Lacking Numbers Follow the questions given in worksheet on three-digit numbers. The questions are primarily based on writing the lacking quantity within the right order, pattern...
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# Given The Arithmetic Sequence An = 3 + 2 N − 1 , What Is The Domain For N? (Question) Therefore, the domain for n for the given arithmetic sequence an = 3 + 2(n – 1) is all integers where n ≥ 1. ## What is the domain for N in an arithmetic sequence? The domain in arithmetic (or even geometric) sequence is always a...
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# Euclidean domain How to prove that $\mathcal{O}_{\sqrt[3]{3}}$ is an euclidean domain? I heard that one should prove the following but why it is enough? For any $a,b,c\in\mathbb{R}$, prove that there are $x,y,z\in\mathbb{R}$ such that $x-a,y-b,z-c\in\mathbb{Z}$ and that $$-1\leq x^3+3y^3+9z^3-9xyz\leq 1.$$ - What ...
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# SOLVING SYSTEMS BY SUBSTITUTION 6.2.1 Save this PDF as: Size: px Start display at page: ## Transcription 1 SOLVING SYSTEMS BY SUBSTITUTION A system of equations has two or more equations with two or more variables. In Section 4.2, students were introduced to solving a system by looking at the intersection point o...
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Upcoming SlideShare × Thanks for flagging this SlideShare! Oops! An error has occurred. × Saving this for later? Get the SlideShare app to save on your phone or tablet. Read anywhere, anytime – even offline. Standard text messaging rates apply # Unit 3 hw 2 - solving 1 step equations 1,766 views Published on Pub...
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# $[(\hat{a}^{\dagger})^2, \hat{a}] = -2\hat{a}^{\dagger}$? I'm confused by a line in the following wikipedia article on the squeeze operator in deriving the action of the squeeze operator on Heisenberg basis, the article seems to imply that $$[(\hat{a}^{\dagger})^2, \hat{a}] = -2\hat{a}^{\dagger}.$$ I'm confused by ...
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# Subsets of the set of primes - uncountable or countable? • realitybugll In summary, the conversation discusses Cantor's proof that the subsets of natural numbers are uncountable and the question of whether the subsets of prime numbers are countable or not. It is argued that if the set of primes can be put in a 1-to-...
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This site is supported by donations to The OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A173490 Even abundant numbers (even numbers n whose sum of divisors exceeds 2n). 5 12, 18, 20, 24, 30, 36, 40, 42, 48, 54, 56, 60, 66, 70, 72, 78, 80, 84, 88, 90, 96, 100, 102, 104, 108,...
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1 MCQ (Single Correct Answer) ### NEET 2017 A gas is allowed to expand in a well insulated container against a constant external pressure of 2.5 atm from an initial volume of 2.50 L to a final volume of 4.50 L. The change in internal energy $\Delta$U of the gas in joules will be A $-$ 500 J B $-$ 505 J C + 505 J D 11...
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