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# Ratio between circumference and "radius" of a polygon Given some polygon $$P$$ in two-dimensional Euclidean space, I want to define the radius of $$P$$ as the average of the radii of the smallest outer circle and the largest inner circle. An outer circle has all points of $$P$$ inside of it (touching points allowed)...
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Search a number 1769 = 2961 BaseRepresentation bin11011101001 32102112 4123221 524034 612105 75105 oct3351 92375 101769 111369 121035 13a61 14905 157ce hex6e9 1769 has 4 divisors (see below), whose sum is σ = 1860. Its totient is φ = 1680. The previous prime is 1759. The next prime is 1777. The reversal of 1769 is 96...
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## If the oth term of an A.P. be zero, then the ratio of its 29th and 19th term is​ Question If the oth term of an A.P. be zero, then the ratio of its 29th and 19th term is​ in progress 0 1 year 2021-07-17T15:27:13+00:00 2 Answers 0 views 0 which term? the question is not proper Given 9th term = 0 a + 8d = 0 a ...
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• # question_answer A real number $\frac{{{2}^{2}}\times {{3}^{2}}\times {{7}^{3}}}{{{2}^{2}}\times {{5}^{3}}\times {{3}^{5}}\times {{7}^{4}}}$will have     _______. A) Terminating decimal expansion         B) Non-terminating decimal expansion     C)  Repeating decimal expansionD)  Both (b) and (c) Given number, $\fra...
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Scatty.com # The Role of Correlations in Statistical Tests Correlations are a key concept in statistics that describe the relationship between two or more variables. They are used in a wide range of statistical tests, and their role is crucial for drawing accurate conclusions from data. A correlation coefficient is ...
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0 Q: # A train 240 meters in length crosses a telegraph post in 16 seconds. The speed of the train is? A) 50 Km/hr B) 52 Km/hr C) 54 Km/hr D) 56 Km/hr Explanation: Q: There was 25% off on bags. A lady bought a bag and got additional 20% discount for paying in cash. She paid ₹480. What was the price tag (in ₹) on t...
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# math The third,fourth and eight term of A.P form first three consecutive term of G.P.if the sum of the first ten term of A.P is 85.calculate the first term of both A.P and G.P,common ratio and sum of 5 term of G.P 1. 👍 2. 👎 3. 👁 1. a = 1st term A.P. ... d = common difference 10 a + 45 d = 85 ... 2 a + 9 d = 17 ...
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1. ## prove that series prove that : $\displaystyle \sum_{n=1}^{\infty }(\frac{1}{n^{2}})=\frac{\pi ^{2}}{6}$ 2. Originally Posted by dhiab prove that : $\displaystyle \sum_{n=1}^{\infty }(\frac{1}{n^{2}})=\frac{\pi ^{2}}{6}$ Consider $\displaystyle \sin(x) = x \prod_{n=1}^{\infty} \left ( 1 - \frac{x^2}{(n\pi)^2} \...
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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!) A033292 A Connell-like sequence: take 1 number = 1 (mod Q), 2 numbers = 2 (mod Q), 3 numbers = 3 (mod Q), etc., where Q = 3. 6 1, 2, 5, 6, 9, 12, 13, 16, 19, 22, 23, 26, 29...
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# Tricky Bags The Ministry is migrating nzmaths content to Tāhurangi. Relevant and up-to-date teaching resources are being moved to Tāhūrangi (tahurangi.education.govt.nz). When all identified resources have been successfully moved, this website will close. We expect this to be in June 2024. e-ako maths, e-ako Pāngara...
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Enable contrast version # Tutor profile: Ryan V. Inactive Ryan V. Tutor Satisfaction Guarantee ## Questions ### Subject:Pre-Algebra TutorMe Question: ( 1.3 × 10​^-2​​ ) × ( 5 × 10​^-2 ​​)= ? Inactive Ryan V. Because the equation uses only multiplication, the order of the multiplication does not matter. We can r...
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• Shuffle Toggle On Toggle Off • Alphabetize Toggle On Toggle Off • Front First Toggle On Toggle Off • Both Sides Toggle On Toggle Off Toggle On Toggle Off Front ### How to study your flashcards. Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key Up/Down arrow keys: Flip the card betwee...
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Question # The number of students in a class 20 minutes ago was 729. If the number of students joining the class triples every 10 minutes. What is the cube root of the number of students joining after 40 minutes from now? A 81 B 27 C 64 D 48 Solution ## The correct option is D 81For every 10 minutes passage of time...
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Purchase Solution # Trigonometric Expressions Not what you're looking for? Please see the attached file for the fully formatted problems. 1.)Calculate: 234.1sin(1.56)/cos(.34) 2.) Is the following even or odd? Cos(sin t) ##### Solution Summary Problems involving Trigonometric Expressions are solved. Solution ...
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## Sunday, February 5, 2012 ### Pythagoras Scirbe (textbook) 7. Identify a whole number with a square root between 11 and 12 11^2=121^2) (12^2=144^2 I can pick either 122-143 12.While shopping online, Ji Hun finds a square rug with an area of 11m^2. He needs to know if it will fit in his 4m X 5m bedroom a) 3.4 b) 3....
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# "Pairwise not statistically different" leads to "overall statistically different"? I have a linear mixed-effect model $$y=\beta_0+\beta_1x_1+\beta_2x_2+\beta_3x_3+Zb+e,$$ where $$[x_1\ x_2\ x_3]$$ represents the fixed effects, and $$Z$$ represents the random effects. Now, I test the null hypothesis that $$\beta_1=\b...
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## The Failures of Remediation and How to Fix Them Remediation is typically focused on training students how to get answers.  This is an overt focus on the development of procedural proficiency without conceptual understanding.  Such an approach has students able to repeat the steps they were trained to perform under ...
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How to Review and Analyze Your Mistakes : General GMAT Questions and Strategies Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack It is currently 22 Jan 2017, 01:41 GMAT Club Daily Prep Thank you for using the timer - this advanced tool can estimate your performan...
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Really Big Numbers 题目描述 Ivan likes to learn different things about numbers, but he is especially interested in really big numbers. Ivan thinks that a positive integer number $x$ is really big if the difference between $x$ and the sum of its digits (in decimal representation) is not less than $s$. To prove that these ...
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# Doubly stochastic matrix proof A transition matrix $P$ is said to be doubly stochastic if the sum over each column equals one, that is $\sum_i P_{ij}=1\space\forall i$. If such a chain is irreducible and aperiodic and consists of $M+1$ states $0,1,\dots,M$ show that the limiting probabilities are given by $$\pi_j=\f...
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Which algorithm is used to convex hull? Which algorithm is used to convex hull? A number of algorithms are known for the three-dimensional case, as well as for arbitrary dimensions. Chan’s algorithm is used for dimensions 2 and 3, and Quickhull is used for computation of the convex hull in higher dimensions. What is...
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# Multiplying Decimals by Whole Numbers This is a complete lesson with instruction and varied exercises about how to multiply a whole number by a decimal (fifth grade). The lesson contains a variety of exercises, including pattern exercises, cross-number puzzle, a riddle, and word problems. In the video below, I expl...
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# math posted by on . 6. A bowl contains 10 red balls, 10 green balls and 10 white balls. a. What is the probability of drawing 2 white balls with replacement? b. What is the probability of drawing 2 white balls without replacement? • math - , when balls are replaced Prob(2white) = (10/30)(10/30) = 1/9 without rep...
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# MAT 540 Quiz 1 Pages: 7 (887 words) Published: February 9, 2014 Question 1 2 out of 2 points Probabilistic techniques assume that no uncertainty exists in model parameters. Question 2 2 out of 2 points Parameters are known, constant values that are usually coefficients of variables in equations. Answer Question ...
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Home > Standard Error > The Standard Error Of The Estimate Is A Measure Of # The Standard Error Of The Estimate Is A Measure Of ## Contents Statistical Methods in Education and Psychology. 3rd ed. Assumptions and usage Further information: Confidence interval If its sampling distribution is normally distributed, the...
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# Limits by definition. • Jan 9th 2010, 02:42 PM Also sprach Zarathustra Limits by definition. Prove by definition (epsilon-delta) the next limits: 1. lim(x-->inf) {(2x^2-11x-11)/(4x^2+11x-1)} = 1/2 2. lim(x-->1) {(x^3-3x)/(x^2-2x+1)} = -inf Thanks! • Jan 9th 2010, 02:57 PM Drexel28 Quote: Originally Posted by Als...
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# The length of a rectangular garden is 3 yd more than twice its width. The perimeter of the garden is 30 yd What are the width and length of the garden? Nov 4, 2016 The width of the rectangular garden is 4yd and the length is 11yd. #### Explanation: For this problem let's call the width $w$. Then the length which ...
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Mathematics 7 # Surf for More Math ## Lesson 5 - Isometric Drawings of Cube Structures To encourage students to have fun on the Web while learning about Isometric Drawings of Cube Structures, here are some games and interactive activities they can do on their own or in pairs. ### Goal Draw views of cube structures...
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### Global Statistics All countries 343,046,635 Confirmed Updated on January 21, 2022 2:35 am All countries 274,140,458 Recovered Updated on January 21, 2022 2:35 am All countries 5,593,183 Deaths Updated on January 21, 2022 2:35 am # What is the Sum of Two Consecutive Even Numbers, the Difference of Whose Squares is...
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# Thread: Probability (bag containing red and white balls) 1. ## Probability (bag containing red and white balls) A bag contains r red and w white balls. A ball is selected at random, is removed, without replacement, until those of the same colour are left in the bag. Find the probability that exactly one white ball...
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# 95662 in Roman Numerals | How to write 95662 in roman numerals Do you want to know what 95662 is in Roman numerals or how to write 95662 in Roman numerals? If so, you have come to the right corner of the internet. In this article, we'll show you the correct way to write 95662 in Roman numerals, including explanation...
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## 4837 Days From August 2, 2024 Want to figure out the date that is exactly four thousand eight hundred thirty seven days from Aug 2, 2024 without counting? Your starting date is August 2, 2024 so that means that 4837 days later would be October 30, 2037. You can check this by using the date difference calculator t...
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# Calculate the magnetic fields (Bo) that correspond to proton resonance frequencies of 60MHz and 30MHz in gauss and Tesla units 28 views edited Calculate the magnetic fields (Bo) that correspond to proton resonance frequencies of 60MHz and 30MHz in gauss and Tesla units by (20.2k points) As we know, $\mu=({\frac...
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Education.com # Climate and the Seasons Practice Questions (not rated) Review these concepts at: Climate and the Seasons Study Guide ## Practice Questions 1. If Earth's diameter is 8,000 miles, how far is it from the center of the earth to the surface? a. 4,000 miles b. 16,000 miles c. 25,120 miles d. 12,560 m...
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##### If the energy received by 5 m2 area in 10 minutes is 4200 kJ, calculate the value of solar constant. Area, A=5 m2 Time, t=10 min =600sec E=4200 kJ Solar constant =E/(A x t) =4200/(5x600) =1.4 kJ/s/m2 23
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## Intermediate Algebra (12th Edition) $4\sqrt{2x}$ $\bf{\text{Solution Outline:}}$ To simplify the given radical expression, $\sqrt{72x}-\sqrt{8x} ,$ simplify first each term by expressing the radicand as a factor that is a perfect power of the index. Then, extract the root. Finally, combine the like radicals. $\bf{\...
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Question # A well of diameter 2 m is dug 14 m deep. The earth taken out of it is spread evenly all around it to form an embankment of height 40 cm. Find the width of the embankment. Hint: To solve this problem we will make a figure to understand the problem and then we will apply the concept of volumes to solve the p...
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0 # What is the answer to -3p plus 6p? Updated: 4/28/2022 Wiki User 13y ago 3p Wiki User 13y ago Benjamin Baker Lvl 1 1y ago im onlydoing thiscause your anwser isstupid but i needitformy homework Earn +20 pts Q: What is the answer to -3p plus 6p? Submit Still have questions? Related questions ### What is 3p ...
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# Evaluating a limit as $x \to -\infty$ of a power of a rational function Sorry for the weird title, I don't know how to put the equation on the title. $$\lim_{x\to-\infty}\left(\frac{1-x^3}{x^2+7x}\right)^5$$ Ok I divided inside the parenthesis by $x^2$, but now I am stuck. • You'd be better off dividing by $x^3$ ...
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# Homework Help: Two Species Population Models 1. Jan 5, 2013 ### ra_forever8 The academics and the technicians of a university faculty are planning a paintball battle and the mathematicians are trying to predict their chances of winning with a continuous model. They are representing the numbers in the two teams at ...
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# What are some alternative definitions of vector addition and scalar multiplication? While teaching the concept of vector spaces, my professor mentioned that addition and multiplication aren't necessarily what we normally call addition and multiplication, but any other function that complies with the eight axioms nee...
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# Construction Of Rhombus When Two Diagonals Are Given? Construction of rhombus given two diagonals Draw the perpendicular bisector of AC. With O as the centre and radius =3.1 cm, mark arcs on both the sides of AC to intersect its perpendicular bisector. Mark the points of intersection as B and D. Join points A, D, po...
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Items: 0 Total: £0.00 View Basket # GCSE Higher Maths Revision Notes Here's a list of topics and question types to help you revise for the Higher GCSE Maths exam. It looks short . . . but that's because they are only additional topics; you also need to know all the foundation topics! You will have learnt a LOT of top...
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# Thread: population growth with differential 1. ## population growth with differential Population y grows according to the equation dy/dt=ky where k is a constant and t is measured in years. if the population doubles every 10 years then the value of k is? 2. Originally Posted by lbj2322 Population y grows according...
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# SOLUTION: Looking at the points (3,0) (0,2) on a line (graph) the slope is -2/3 and the value of y when x=2 is ______. Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Looking at the points (3,0) (0,2) on a line (graph) the slope is -2/3 and the value of y when x=2 is ______.      Log On ...
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# Thread: Logarithms? Have no idea! Please help! 1. ## Logarithms? Have no idea! Please help! 1. If log_a X=2, what is log_a (1/x) ? 2. Evaluate log_2 4 + log_4 8 + log_8 16 + log_16 32 + log_32 64 + log64 128 3. Simpilfy Expression : x= (log_10 11)(log_11 12)....(log_98 99)(log_99 100) 4. log_2 3√ 16 (the 3 is a...
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# Thread: center of mass with varying density 1. ## center of mass with varying density Hi, I'm having incredible trouble getting a reasonable answer to this problem: Find the center of mass of a thin plate covering the region bounded below by the parabola y=x^2 and above by the line y=x if the plate's density at the...
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Home » 1 Is What Percent Of 52.6? New # 1 Is What Percent Of 52.6? New Let’s discuss the question: 1 is what percent of 52.6. We summarize all relevant answers in section Q&A of website Countrymusicstop.com in category: MMO. See more related questions in the comments below. ## What is 1 in 60000 as a percentage? 10...
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 The points (a, b + c), (b, c + a) and (c, a + b) are : Kaysons Education # The Points (a, B + C), (b, C + A) And (c, A + B) Are #### Video lectures Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation. #### Online Support Practice over 30000+ questions starting from basic...
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# Math 2 posted by . Ammeter has 1/4 of fabric. She cuts it into 3 equal pieces. What fraction of a yard is each piece of fabric? • Math 2 - Is the answer 1/12. 1/4 multiplied by 1/3 is how I got that. Is that correct? • Math 2 - I would ask 1/4 what of fabric? • Math 2 - So is the answer 1/12yard, if she has 1...
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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!) A300081 a(n) is the number of steps needed to reach 1 or 89 under iteration of sum-of-squares-of-digits map. 2 0, 5, 7, 4, 4, 9, 5, 5,...
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# Question #1679b Jun 30, 2017 $\frac{d}{\mathrm{dx}} \tan \left(\frac{x}{2}\right) = \frac{1}{2} {\sec}^{2} \left(\frac{x}{2}\right)$ #### Explanation: By definition: $\frac{d}{\mathrm{dx}} \tan \left(\frac{x}{2}\right) = {\lim}_{h \to 0} \frac{\tan \left(\frac{x + h}{2}\right) - \tan \left(\frac{x}{2}\right)}{h}...
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Search a number 1004596 = 22251149 BaseRepresentation bin11110101010000110100 31220001001021 43311100310 5224121341 633310524 711352565 oct3652064 91801037 101004596 1162684a 12405444 13292348 141c216c 1514c9d1 hexf5434 1004596 has 6 divisors (see below), whose sum is σ = 1758050. Its totient is φ = 502296. The previ...
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# An Article: An Introduction to Power Factor F #### flank Jan 1, 1970 0 This need a lot of work. J #### John Popelish Jan 1, 1970 0 KodKodKod said: Hi all, http://www.kodkodkod.com/files/powerfactor.htm Regards, KodKodKod Learning Consulting If the reader knew enough to understand the first equation, they wo...
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## Moderator: Juilee Juilee2.2k Reputation: 2,200 Status: Trusted Location: Dombivli Last seen: 2 months ago Joined: 3 years ago Email: j***********@gmail.com None None None None #### Posts by Juilee <prev • 3,719 results • page 2 of 372 • next > 1 298 views 1 ... The point of interaction is $ay^2 = x^3, by = x$ $a...
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# Search by Topic #### Resources tagged with Mathematical modelling similar to Cross with the Scalar Product: Filter by: Content type: Stage: Challenge level: ##### Other tags that relate to Cross with the Scalar Product Vectors. chemistry. Vector algebra. Vector products. Mathematical modelling. Spheres. biology. S...
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# How do you simplify 8sqrt63 - 5sqrt7? May 21, 2018 $19 \setminus \sqrt{7}$ #### Explanation: $8 \setminus \sqrt{63} = 8 \setminus \sqrt{9 \cdot 7} = 8 \setminus \sqrt{\setminus \textcolor{red}{3 \cdot 3} \setminus \cdot 7}$ $= \left(8 \cdot \setminus \textcolor{red}{3}\right) \setminus \sqrt{7} = 24 \setminus \s...
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• Join over 1.2 million students every month • Accelerate your learning by 29% • Unlimited access from just £6.99 per month Page 1. 1 1 2. 2 2 3. 3 3 4. 4 4 5. 5 5 6. 6 6 7. 7 7 8. 8 8 9. 9 9 10. 10 10 11. 11 11 12. 12 12 13. 13 13 14. 14 14 # math portfolio type 1 Extracts from this document... Introduction The Ko...
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# Energy of room. Ideal gas law I have been following Blundel's "Concepts of thermal Physics" and I got to the derivation of the ideal gas law. And it all made sense, we made a couple of assumptions and approximations, but then I got to an exercise that doesn't make a lot of sense to me: "If a room is initially at 18...
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# Word problem including depth, min / max.. • Apr 15th 2009, 07:43 AM struck Word problem including depth, min / max.. One end of a piece of elastic is attached to a point at the top of a door frame and the other end hangs freely. A small ball is attached to the free end of the elastic. When the ball is hanging freely...
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1. Related rates of change. A cylindrical container of fixed length 90 cm is being pressure tested, and the radious id increasing at a constant rate of .01 cm/min. WHen the redious is 25 cm, find the rate of the change of: (a) the total surface area (b) the Volume 2. What is the total surface area of the cylinder? ...
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# Exact first order differential equations problems • Feb 18th 2009, 09:41 AM Exact first order differential equations problems I'm totally unsure of where to put this topic - sorry itll probably need moved.(Worried) Ok I'm doing a further maths A-level right now but I'm also doing an ordinary maths A-level at the sa...
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# Distance, Velocity and Acceleration ### Basic Relationships Recall from our study of derivatives that if $$x\left( t \right)$$ is the position of an object moving along a straight line at time $$t,$$ then the velocity of the object is $v\left( t \right) = \frac{{dx}}{{dt}},$ and the acceleration is given by $a\l...
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# Homework Help: Heat Flow Through Rock Layers Problem 1. Oct 2, 2014 ### Nexttime35 1. The problem statement, all variables and given/known data The problem is here: 2. Relevant equations q = heat flow k = thermal conductivity q = -k (dT/dY) 3. The attempt at a solution While this is quite an easy question, I jus...
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Consider a cylinder of radius $a$ and height $b$ that has it base at the origin and is aligned along the $z$-axis. The polarization of this cylinder is "baked in" and can be modeled using $$\mathbf{P} = P_0 \left(\dfrac{z}{b}\right)\hat{z}.$$ Determine the total dipole moment of this cylinder: 1. $P_0 \pi a^2 b \hat{z}...
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# Using elementary transformations, find the inverse of each of the matrices. First of all we need to check whether the matrix is invertible or not. For that- For the inverse of a matrix A to exist, Determinant of A ≠ 0 Here A = (3)(2) – (-1)(-4) = 2 So the matrix is invertible. Now to find the inverse of the mat...
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0 # How do I graph exponents? I am struggling in maths and I have finally found how to graph easy equations and use substitution and eliminations and by graphing. My best is substitution. I am about to learn about graphing exponents. ### 1 Answer by Expert Tutors Steve S. | Tutoring in Precalculus, Trig, and Differ...
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# 4th Grade Math Exit Tickets \$8.00 Make checking student progress at the end of a lesson quick and easy with these 4th Grade Math Exit Tickets! This set includes all 42 Common Core Math standards in 3 versions of the formative assessment for you to quickly assess student understanding of new concepts and skills. #...
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## Engage NY Eureka Math 4th Grade Module 4 Lesson 1 Answer Key ### Eureka Math Grade 4 Module 4 Lesson 1 Problem Set Answer Key Question 1. Use the following directions to draw a figure in the box to the right. a. Draw two points: A and B. b. Use a straightedge to draw $$\overline{A B}$$. c. Draw a new point that is...
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1. ## Critical Points x^3(2x-7)^2(x+5)=0 I don't know how to solve this and I need this part so I can find the local max and min. 2. Originally Posted by lisa1984wilson x^3(2x-7)^2(x+5)=0 I don't know how to solve this and I need this part so I can find the local max and min. $ x^3(x+5)(2x-7)^2=0 $ $f(x)=(x^4+5x^3...
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# Math posted by . I need to find the value of x. 5(x-4) = 3(x+8) Trying to help my niece and haven't done this stuff for 20 years. :) 5(x-4) = 3(x+8) 5x - 20 = 3x + 24 5x - 3x = 20 + 24 2x = 44 x = 22 I hope this brings back the algebra you studied 20 years ago. :-) By the way -- to check myself (I took algebra...
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# Reuleaux triangle (Redirected from Equilateral curve) The boundary of a Reuleaux triangle is a constant width curve based on an equilateral triangle. All points on a side are equidistant from the opposite vertex. Water valve cover in San Francisco shaped like a Reuleaux triangle. A Reuleaux triangle [ʁœlo] is a sha...
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# THE MONTESSORI METHOD - online book ## Scientific Methods As Applied To Child Education In "the Children's Houses" Share page 334             THE MONTESSORI METHOD remains. Speaking of this properly we say, ten less four equals six; ten less three equals seven; ten less two equals eight; ten less one equals nine...
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## Saturday, January 28, 2006 ### Quadratic Reciprocity: Gauss's Lemma for Quadratic Residues In today's blog I continue the proof for the Principle of Quadratic Reciprocity. If you are not familiar with the concepts of quadratic reciprocity, quadratic residues, or the Legendre Symbol start here. If you would like t...
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## Partnership People enter into partnership to accumulate money to kick start a business. The money invested by each is called Capital. Once the business starts to generate income, each partner will ask for his own share of profit. The question is how much will each receive as his due share? Two criteria are appl...
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# The cash price of a cooker is Ksh 27 500. A customer opts to buy the cooker on hire purchase terms by paying a deposit of Ksh 17250. Determine the monthly rate of compound interest charged on the balance if the customer is required to repay by six equal monthly instalments of Ksh 2 100 each. 1.4k views The cash pric...
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# 22.25 The Monty Hall problem Probability is an important idea in science. An experiment to answer a question like, for example, whether a drug is safe can only be answered with a probability (post 16.1). When we measure anything we only really know that its value lies between certain limits with a given probability ...
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# system of congruences proof I've checked a lot of the congruency posts and haven't seen this one yet, so I'm going to ask it. If there is a related one, I'd be happy to see it. Let $x \equiv r\pmod{m}, x \equiv s\pmod{(m+1)}$. Prove $$x \equiv r(m+1)-sm \pmod{m(m+1)}$$ So with the given conditions, we know $$x=mk_1...
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# Proving separability of the countable product of separable spaces using density. Let $\{X_j\}_{j=1}^{+\infty}$ be a sequence of separable spaces. The goal is to prove that the infinite cartesian product of separable spaces is indeed separable by showing that the product has a dense subset, arising from the fact tha...
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In these worksheets, students will learn to recognize what a parabola will look like on a graph when given its equation. #### How to Graph Quadratic Functions? What are quadratic functions? Quadratic functions are the ones where the highest power of the variable is 2. You can even graph these functions and it is prett...
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# Solve 4 + 3 / 4 + x - 1 / 4 = 1 #### SaltyPoro ##### New member I keep getting this equation wrong x + 3/4 + x - 1/4 = 1 This is my working out: 4(x+3) + 4(x-1) = 1 4x+12 + 4x-4 = 1 4x + 4x = 1 + 4 - 12 8x = -7 I'm pretty sure I'm doing something wrong but I don't know where. #### tkhunny ##### Moderator Staff me...
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# In an AP 17th term is 7 more than its 10th term. Find the common difference. We know that, for an A.P series an = a+(n−1)d a17 = a+(17−1)d a17 = a +16d In the same way, a10 = a+9d As it is given in the question, a17 − a10 = 7 Therefore, (a +16d)−(a+9d) = 7 7d = 7 d = 1 Therefore, the common difference is...
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# GCF and Factoring by Grouping The greatest common factor , or GCF, is the largest factor each term has in common. The GCF can include numbers and variables . In terms of numbers, it is the largest factor each number has in common . For example, 4 is the greatest common factor of the two numbers 4 and 20. (Notice tha...
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# Monte Carlo Methods in Excel: Part 4 – The Triangle Distribution A mathematician friend of mine worked for the Navy on calculations involving the movement of sound waves through water. It’s a difficult problem, since the speed of sound varies with temperature and salinity. Being a mathematician to the core, he alway...
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Book 1 to 1 Math Lesson After-School Math Program Boost Your Child's Math Abilities! Ideal for 1st-12th Graders, Perfectly Synced with School Curriculum! • Pre-K (Preschool) • Kindergarten • Division • Fractions • Geometry • Measurement • Money • Multiplication • Numbers • Subtraction ### Ratio Word Problems Workshe...
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# CAT Quantitative Aptitude Questions | CAT Ratios, Mixtures, Alligations and Averages Questions ###### CAT Questions | Ratio and Proportion | Minimum Coins The question is from CAT Ratio, Mixtures and Averages. We need to find out the minimum number of total coins with A, B, C with the given ratios. CAT exam is know...
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# Linear Algebra - homogeneous equation • Inertigratus In summary, The problem is to find for which a's and b's the equation A2 + aA + bI2 = 0 is true, using a linear system and gaussian elimination. The equation can be split into four equations with respect to the variables a and b and when the constants are moved to...
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# Exponential Inequalities: Problems with Solutions By Denitsa Dimitrova (Bulgaria) Problem 1 $5^{x^2+3} \le 5^{4x}$ Problem 2 $3^{\frac {x-3}{3x-2}} \le 3$ Problem 3 $\left(\frac{3}{4} \right)^{2-x} > \left(\frac{3}{4} \right)^{-\frac{1}{2}}$ Problem 4 $\left(\frac {1}{3} \right)^{2x^2-5} < \left(\frac {1}{9} \right)...
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# Know Your Fractions: Fraction Wall (3) In this worksheet, students use a fraction wall to find equivalent fractions. Key stage:  KS 2 Curriculum topic:   Number: Fractions Curriculum subtopic:   Use Fractions Difficulty level: ### QUESTION 1 of 10 Look carefully at this fraction wall or fraction strip. We can...
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# What are the conditions for a series to be covariance stationary? ## What are the conditions for a series to be covariance stationary? A sequence of random variables is covariance stationary if all the terms of the sequence have the same mean, and if the covariance between any two terms of the sequence depends only...
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# Prime factorization rules When you have a number like 81. Is it safe to assume that if the number can't be divided by 2 or 3 that it's prime if it ends with a 1? - On a related note, you should realize that a number which ends in a 1 is NEVER divisible by 2 since it is odd. Also, ending with a 1 has nothing to do...
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## Problem: Given an array of ints, return the sum of the first 2 elements in the array. If the array length is less than 2, just sum up the elements that exist, returning 0 if the array is length 0. sum2({1, 2, 3}) → 3 sum2({1, 1}) → 2 sum2({1, 1, 1, 1}) → 2 ## Solution: public int sum2(int[] nums) { if (nums.leng...
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# solve for x sqrt(x^2+x+1) + sqrt(x^2-x+1) >= sqrt(2x^2+6x+2) pramodpandey | Student `sqrt(x^2+x+1)+sqrt(x^2-x+1)>=sqrt(2x^2+6x+2)` Squaring both side `x^2+x+1+x^2-x+1+2sqrt((x^2+1)^2-x^2)>=2x^2+6x+2` simplify ,we have `sqrt((x^2+)^2-x^2)>=3x` squaring both side again `(x^2+1)^2-x^2>=9x^2` `x^4+1+2x^2-x^2-9x^...
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# Solving Sum of n+1^n/n^(n+1) - Diverges? • Titans86 In summary, the formula for the "Solving Sum of n+1^n/n^(n+1) - Diverges" series is ∑<sub>n=1</sub>∞ (n+1)^n/n^(n+1). In order for this series to diverge, the limit of the terms must not approach 0. This can be proven by using the limit comparison test or the ratio...
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Search 74,030 tutors # How To Solve ? Hi , Im Confused And Need Help Solving This Equation x+6=-x-2 # 5x^2-6-12x^2+12+2x combining like terms # i need help on my algebra homework on combining like terms how can i find the solution for this problem-----> -(m+4)-3(7-m) on my homework it sais combining like terms bu...
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## Florence E. Allen ### The Cyclic involutions of Third Order Determined by Nets of Curves of Deficiency 0, 1, and 2 Quarterly Journal of Mathematics, Vol. 45 (1914), 258-288 Introduction In an article entitled "Razionalita della Involuzioni Piane," Castelnuovo proved the rationality of all involutions in the plane...
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Search # Polygons ## Explore the properties of polygons through puzzles and games, then proceed into a more formal classification of polygons. Look at mathematical definitions more formally, and explore how terms can have different but equivalent definitions. ### In This Session Part A: Hidden Polygons Part B: Clas...
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# Search by Topic #### Resources tagged with Interactivities similar to The Dice Train: Filter by: Content type: Stage: Challenge level: ### There are 221 results Broad Topics > Information and Communications Technology > Interactivities ### Multiples Grid ##### Stage: 2 Challenge Level: What do the numbers shad...
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# Length contraction or Lorentz Contraction As I understand it, Lorentz Contraction states an object "contracts" relative to it's velocity to an observer. So at a high velocity of speed, the meter stick (carried by the object moving relative to the observer) appears to contract (to the observer) and the observer meas...
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HomeTemplate ➟ 20 20 Multiplying Variables with Exponents Worksheet # 20 Multiplying Variables with Exponents Worksheet Multiplying Exponents All Positive A multiplying variables with exponents worksheet, simplifying radicals with variables and exponents worksheet, simplifying radicals with variables and exponents wo...
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