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This site is supported by donations to The OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A133567 A007318 * A133566. 4 1, 1, 1, 1, 3, 1, 1, 6, 3, 1, 1, 10, 6, 5, 1, 1, 15, 10, 15, 5, 1, 1, 21, 15, 35, 15, 7, 1, 1, 28, 21, 70, 35, 28, 7, 1, 1, 36, 28, 126, 70, 84, 28, 9, 1, 1,...
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Analysis problem Acolyte Posers and Puzzles 16 Oct '03 14:35 1. Acolyte 16 Oct '03 14:35 Find a function on the reals which is everywhere continuous but nowhere differentiable. 2. TheMaster37 Kupikupopo! 16 Oct '03 17:47 Originally posted by Acolyte Find a function on the reals which is everywhere continuous but nowhe...
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# Thread: Need someone to check LT 1. ## Need someone to check LT i have signal as shown on the attached image, and i need to introduce it analytically and apply Laplace transformation on it... signal is : and i have done this $\displaystyle f(t) = 10\cdot t \cdot u(t) - 20 \cdot (t-10) \cdot u(t-10) +10\cdot (t-2...
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## Basic College Mathematics (9th Edition) Published by Pearson # Chapter 3 - Adding and Subtracting Fractions - 3.2 Least Common Multiples - 3.2 Exercises: 49 27 #### Work Step by Step In order to rewrite $\frac{3}{16}$ with a denominator of 144, we must first divide 144 by the original denominator. $144÷16=9$ Th...
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# JNTUK B.TECH R20 2-1 Syllabus For Probability and statistics PDF 2022 ### Get Complete Lecture Notes for Probability and statistics on Cynohub APP You will be able to find information about Probability and statistics along with its Course Objectives and Course outcomes and also a list of textbook and reference book...
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# Difference between revisions of "2006 AMC 12B Problems/Problem 17" ## Problem For a particular peculiar pair of dice, the probabilities of rolling $1$, $2$, $3$, $4$, $5$ and $6$ on each die are in the ratio $1:2:3:4:5:6$. What is the probability of rolling a total of $7$ on the two dice? $\mathrm{(A)}\ \frac 4{63...
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Thread: Escape from Prison Puzzle View Single Post 06-17-2010, 01:21 PM   #46 dsvick Wizard Posts: 2,737 Karma: 635747 Join Date: Nov 2009 Location: Northeast Ohio, USA Device: PRS-900 Quote: Originally Posted by pdurrant Do the thought experiment - pretend you're the first prisoner to arrive, and you're given a gree...
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10.09.2022 # Kylie has 80% of the total points possible in her science class. if 350 points are possible, how many points does kylie have? 0 30.05.2023, solved by verified expert 280 Step-by-step explanation: In order to figure out how many points Kyle has in her science class, we need to find 80% of all the possi...
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# algebra posted by . during the first part of a trip, a conoeist travels 70 miles at a certain speed. the canoeist travles 7 miles on the second part of the trip at a speed of 5 mph slower. the total time for the trip is 5 hrs. Ehat is the speed on each part of the trip? • algebra - Assume the speed for the first ...
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Solving the following integral (rational function, cubic over linear) I'm trying to solve the following integral: $$\int\frac{x^3}{(x+2)}\mathrm{d}x$$ It would seem to me to be a classic integration-by-parts problem, but trying to do that (with $u=x^3$ and $dv=1/(x+2)$ I find myself stuck with the integral: $$\int ...
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# Relation Between Continuity & Differentiability Notes | Study Mathematics (Maths) Class 12 - JEE ## JEE: Relation Between Continuity & Differentiability Notes | Study Mathematics (Maths) Class 12 - JEE The document Relation Between Continuity & Differentiability Notes | Study Mathematics (Maths) Class 12 - JEE is a...
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# Study the following information carefully and answer the questions given below.(i) Eight boys P, Q, R, S, T, U, V and W are sitting in a circular table.(ii) P and Q are sitting opposite to each other.(iii) S is sitting second to the right of P and V is sitting second to the right of Q.(iv) T and W are sitting opposit...
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## Doppler Effect: Moving Observer riding on moving source! With reflection off wall! 1. The problem statement, all variables and given/known data A bus is moving at 37.00m/s towards a wall. The sound from the bus has an original wavelength of 0.1500m. The sound from the bus reflects off the wall. What frequency soun...
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## Algebra 1 We start with the given equation: $y=-2x+5$ We plug in the values for $x$ and $y$ given in the coordinates: $1=-2(2)+5$ We simplify the right side of the equation: $1=-4+5$ $1=1$ Since the equation checks, the coordinate given is a solution to the equation.
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Chem The temperature of a sample of water is changed from 10 degree C to 30 degree C. he same change in Kevin degrees would be 1) 20 2) 100 3) 303 4) 273 1. 👍 0 2. 👎 0 3. 👁 47 1. Is 20 the correct answer? 1. 👍 0 2. 👎 0 2. 1 degree K = 1 degree C so delta T is the same in K and C (the temperature READING is not...
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# How do you solve 4^(5n)>30? May 19, 2018 $n > 0.49$ #### Explanation: By rules of logarithms: $\ln {a}^{b} = b \ln a$ Therefore, take the logarithm from both sides of the function and follow the rule. Then proceed to rearrange and simplify to find the solution for $n$. $\ln {4}^{5} n > \ln 30$ $5 n \ln 4 > \l...
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Find the equation We know that equation of plane passing through the line of intersection of planes (a1x + b1y + c1z + d1) + k(a2x + b2y + c2z + d2) = 0 So equation of plane passing through the line of intersection of planes x + 2y + 3z – 4 = 0 and 2x + y – z + 5 = 0 is x + 2y + 3z – 4 + k(2x + y – z + 5) = 0 x(1...
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Problem 19: Oil with a density of 892 kg/m is flowing smoothly through a pipe, as shown. In the lower portion, the oil is flowing at vi = 1.84 m/s, and the pressure gauge indicates P, = 237 kPa. In the upper portion of the pipe, oil is flowing at V2 = 3.61 m/s at a height that is 8.63 m above the lower portion. 0 (0 оц...
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# Lagrangian equations of particle in rotational paraboloid Tags: 1. Nov 4, 2017 ### Oomph! Hello. I solve this problem: 1. The problem statement, all variables and given/known data The particles of mass m moves without friction on the inner wall of the axially symmetric vessel with the equation of the rotational ...
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# 180 Days of Math for Kindergarten Day 108 Answers Key By accessing ourĀ 180 Days of Math for Kindergarten Answers Key Day 108 regularly, students can get better problem-solving skills. ## 180 Days of Math for Kindergarten Answers Key Day 108 Directions: Solve each problem. Question 1. Draw 5 squares. Explanation...
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# Calculate How Many Ounces /OZ in a Gallon? How Many Ounces /OZ in a Gallon: As we know there are numbers of units of mass and Ounces or OZ is one of them used in some systems of measurements. There are several of OZ like ounces use in measuring weights of liquids and Troy use in measuring the weight of precious meta...
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1. Homework Each homework set is weighted equally, regardless of the number of points it is worth.  For each homework set, calculate the percentage score by dividing the number of points received by the total number of points.  Drop the two homeworks with the lowest percentage scores.  Take the average of the remainin...
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Maze Solving Algorithm – Practicing Backtracking. Although it’s not directly connected to NLP, I decided to dedicate this post to a general algorithm called “Backtracking”. In simple words Backtracking is a general way to solve a problem by using a computer. The algorithm is considered “general” since it doesn’t descr...
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(X3 + X2 + 1) Sin X - Mathematics (x3 + x2 + 1) sin Solution $\text{ Let } u = x^3 + x^2 + 1; v = \sin x$ $\text{ Then }, u' = 3 x^2 + 2x; v' = \cos x$ $\text{ By product rule },$ $\frac{d}{dx}\left( uv \right) = uv' + vu'$ $\frac{d}{dx}\left[ \left( x^3 + x^2 + 1 \right) \sin x \right] = \left( x^3 + x^2 + 1 \right...
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104 364 Assignments Done 99.1% Successfully Done In January 2022 # Answer to Question #281475 in Finance for suveetha Question #281475 a) You have RM 33 750 in a brokerage account, and you plan to have an account totals RM 72 863.72. You expect to earn 8% annually on the account. How many years will it take to reac...
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# Electrical Circuit Problem #### Berzerkfury02 Hello I am currently designing a circuit but have run into a couple dead ends. I was wondering if anyone would be willing to take the time to help me with this problem. I am a little rusty at finding unknowns in a circuit, but basically I am trying to find the rating of...
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# How Many CC Is 18.5 Horsepower? Determining the cubic centimeters (cc) equivalent of 18.5 horsepower involves understanding the relationship between the two different units of measurement. While this may appear as a straightforward question, it requires a deeper understanding of the parameters involved. Horsepower, ...
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# Thread: alternating series 1. ## infinite series Prove that $\displaystyle \sum_{k=0}^{\infty} \frac{ (-1)^k}{ \binom{2k}{k} }$ $\displaystyle = \frac{4}{5} [ 1 - \frac{1}{\sqrt{5}} \ln( \frac{ 1 + \sqrt{5}}{2} ) ]$ and $\displaystyle \sum_{k=0}^{\infty} \frac{1}{ \binom{2k}{k} }$ $\displaystyle = \frac{ 2( \p...
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# Question Bank Solutions for BE IT (Information Technology) Semester 2 (FE First Year) - University of Mumbai - Applied Physics 2 Subjects Topics Subjects Popular subjects Topics Applied Physics 2 < prev 1 to 20 of 83 next > Calculate the V number of an optical fibre having numerical aperture 0.25 and core diameter ...
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# Algebra Formulas For Class 10 Algebra formulas for class 10 are provided here for students. The study of Algebra requires an intrinsic and deep understanding of formulas, terms and concept. Hence, to ease this task, we provide to you “Algebra Formulas for class 10”, a thorough and complete guide exclusively drafted ...
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# Thread: Lagrange Argh... 1. ## Lagrange Argh... Looking to find and classify critical points: $\displaystyle f(x,y)=x^2+y^2+20$ subject to constraint: $\displaystyle 3x^2+4xy+6y^2=140$ So, let $\displaystyle g(x,y)=3x^2+4xy+6y^2-140=0$ $\displaystyle f_x+\lambda g_x=0 \Rightarrow 2x+\lambda (6x+4y)$ which giv...
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# Statistical Methods-Standard Errors and Large Sample Tests (ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern)): Questions 1 - 2 of 2 Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 165 questions. Access all new questions we will add tracking exam-pat...
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Find all School-related info fast with the new School-Specific MBA Forum It is currently 15 Mar 2014, 14:15 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email. C...
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#### Archived This topic is now archived and is closed to further replies. # Logical Interpretation: Intersection of 2 2d lines expressed as vectors and dots. This topic is 5281 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic. ## Recommended Posts Ok folks, I hav...
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# Search by Topic #### Resources tagged with Investigations similar to Sweeping Satellite: Filter by: Content type: Stage: Challenge level: ### There are 61 results Broad Topics > Using, Applying and Reasoning about Mathematics > Investigations ### Powerfully Fast ##### Stage: 5 Challenge Level: Explore the powe...
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Science & Mathematics » Mathematics » What should be added to equation to make it a perfect square 9x^4 + 2x^2 + 25? ....Please!? # What should be added to equation to make it a perfect square 9x^4 + 2x^2 + 25? ....Please!? • Find (3x^2 + 5)^2 minus what you are given. 0 0 • 9x^4 = (3x^2)^2 25 = 5^2 (3x^2 + 5)^2 = 9...
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Unsolvable Sudoku #13 Page Last Welcome back! This proof is multi-page. Some interesting stuff was analyzed on the First Page, and on the Second Page. This page is considerably less complex than the preceding pages. Nevertheless, this puzzle is still fertile ground for studying Sudoku. Again, this page begins with s...
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gothchick 14 # circle is divided into 20 equal parts. What is the angle measure of three of those parts? first, imagine a circle divided into 4 quarters than you may use the following proportion angle measure ------- part of circle $90^0 - -----\frac14\\ x \ \ ------\frac3{20}\\ \\ \frac14x=90^0\cdot\frac3{20}\\ \fra...
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# CS2233 Discrete Mathematical Structures CS2233 Discrete Mathematical Structures CS2233 Discrete Mathematical Structures CS2233 Discrete Mathematical Structures Homework 3 Due 10/20/21 before 11:59pm Annotate all your proofs with comments/text in order to receive full credit. 1. Contrapositive and contradiction (4 p...
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Answe the following question:- (a) What is the largest average velocity of blood flow in an artery of radius 2×10–3m if the flow must remain lanimar? (b) What is the corresponding flow rate ? (Take viscosity of blood to be 2.084 × 10–3 Pa s). Asked by Pragya Singh | 1 year ago |  168 Solution :- Radius of the vein...
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# How do you find the general solutions for cos(x) = 0.6? Jun 18, 2018 $2 n \pi \pm {\cos}^{- 1} \left(0.6\right)$ #### Explanation: normally you can get $x = {\cos}^{- 1} \left(0.6\right)$ using $\cos \left(- x\right) = \cos \left(x\right)$ x is also $- {\cos}^{- 1} \left(0.6\right)$ Because $\cos \left(x + 2 n \p...
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+0 # Help! +1 161 2 +272 A median Nov 4, 2019 edited by tomsun  Nov 8, 2019 #1 0 Nov 4, 2019 #2 +109202 +2 Consider one specific triangle ABC with A=(4,8), B=(2,-6), and C=(-4,4). The midpoint of  AB  =  [ (2 + 4) / 2 , ( 8  - 6) / 2  ]  =  (3, 1) The slope of the line drawn between  C  and this point is  [ 4 ...
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Cody # Problem 3064. Cycling — Normalized Power Solution 1707362 Submitted on 15 Jan 2019 This solution is locked. To view this solution, you need to provide a solution of the same size or smaller. ### Test Suite Test Status Code Input and Output 1   Fail power = 200*ones(1,3600); P_avg_corr = 200; NP_corr = 200; ...
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## Book VIII, Proposition 11 Between two square numbers there is one mean proportional number, and the square has to the square the ratio duplicate of that which the side has to the side. Δύο τετραγώνων ἀριθμῶν εἷς μέσος ἀνάλογόν ἐστιν ἀριθμός, καὶ ὁ τετράγωνος πρὸς τὸν τετράγωνον διπλασίονα λόγον ἔχει ἤπερ ἡ πλευρὰ...
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» # Iterated function In mathematics, an iterated function is a function which is composed with itself, possibly ad infinitum, in a process called iteration. In this process, starting from some initial value, the result of applying a given function is fed again in the function as input, and this process is repeated. ...
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1859139000000 (number) 1,859,139,000,000 (one trillion eight hundred fifty-nine billion one hundred thirty-nine million) is an even thirteen-digits composite number following 1859138999999 and preceding 1859139000001. In scientific notation, it is written as 1.859139 × 1012. The sum of its digits is 36. It has a total...
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## Matching halves Activity type: Printable Course Mathematics Section Fractions Outcome A half. Activity Type Printable Activity ID 3240 ## Testimonials What a brilliant site you have!!! I love it, especially as it saves me hours and hours of hard work. Others who haven't found your site yet don't know what they a...
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GMAT Question of the Day - Daily to your Mailbox; hard ones only It is currently 15 Dec 2019, 06:09 ### 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. Customize...
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Top # Bisector of a Line Bisector of a line is a perpendicular line which passes through the midpoint of a straight line. The bisector bisects the line at the mid point. We can find the point of the line where the perpendicular line bisects by using the mid point formula. Dividing a line into two equal segments is do...
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# Data Science - Linear Functions Mathematical functions are important to know as a data scientist, because we want to make predictions and interpret them. ## Linear Functions In mathematics a function is used to relate one variable to another variable. Suppose we consider the relationship between calorie burnage a...
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12,699,215 members (24,439 online) alternative version 29.8K views 57 bookmarked Posted # The wrapping image game trick , 25 Dec 2009 CPOL Rate this: Explaining the endless image wrapping trick used in video games. ## Introduction Ever wondered how long is the moving background picture of a video game? You must h...
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Home > Error Propagation > Propagation Of Error Methods # Propagation Of Error Methods ## Contents Note that these means and variances are exact, as they do not recur to linearisation of the ratio. Retrieved 22 April 2016. ^ a b Goodman, Leo (1960). "On the Exact Variance of Products". So if the angle is one half de...
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GMAT Question of the Day - Daily to your Mailbox; hard ones only It is currently 22 Jun 2018, 07:44 ### 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. Customize...
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Survey * Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project Document related concepts Quartic function wikipedia, lookup Cubic function wikipedia, lookup Signal-flow graph wikipedia, lookup Elementary algebra wikipedia, lookup History of a...
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# The co-efficient of $x$ in the expansion of $(x^2+\large\frac{\lambda}{x})^2$ is $\begin{array}{1 1}(A)\;20\lambda\\(B)\;10\lambda\\(C)\;10\lambda^3\\(D)\;20\lambda ^3\end{array}$ Toolbox: • $T_{r+1}=nC_ra^{n-r} b^r$ $T_{r+1}=5C_r (x^2)^{5-r} (\large\frac{\lambda}{x})^r$ $\Rightarrow 5C_r\lambda ^r x^{10-3r}$ Let $...
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You are here: # Physics/Waves Advertisement Question waves 1. Write down an expression for the wavelength lambda as a function of the length of the string for each of the four harmonics shown on the left. 2. From the expressions above, find the expression for the wavelength of the n-th harmonic as a function of L. ...
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ISC (Commerce) Class 12CISCE Share # The Average Cost Function, Ac for a Commodity is Given by Ac = X + 5 + 36/X in Terms of Output X. Find the Total Cost, C and Marginal Cost, Mc as a Function of X. The Outputs for Which Ac Increases - ISC (Commerce) Class 12 - Mathematics ConceptApplication of Calculus in Commerce ...
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• # question_answer A long straight wire carries a current of 35 A. What is the magnitude of the field B at a point 30 cm from the wire? Here, Z = 35 A and R = 30 cm = 0.3 m $\therefore$ $B=\frac{{{\mu }_{0}}I}{2\pi R}=\frac{4\pi \times {{10}^{-7}}\times 35}{2\pi \times 0.3}=2.33\times {{10}^{-5}}T$
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## Given 3k+5=17 Prove k=4 Statements reasons 1. 3k+5=17 1. 2. 3k=12. 2. 3. K=4. 3. Question Given 3k+5=17 Prove k=4 Statements reasons 1. 3k+5=17 1. 2. 3k=12. 2. 3. K=4. 3. Answer this problem. List the reasons 0 1. We are given the equation 3k+5=17 and we need to solve for k. 3k+5 = 17 Substract 5 from each si...
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## A Half-Solved Mystery: Rotating a Sine Wave A few minutes ago, I wondered how to write a function whose graph would be a sine curve, but one that undulated above and below the diagonal line y=x, rather than the x-axis, as is usually the case. How to accomplish such a 45 degree counterclockwise rotation? Well, firs...
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– HERE WE WANT TO CONVERT THE FOLLOWING WEIGHT MEASUREMENTS USING THE AMERICAN OR STANDARD MEASUREMENT SYSTEM. AND TO KEEP THINGS CONSISTENT, WE’RE GOING TO GO AHEAD AND USE UNIT FRACTIONS TO DO THESE CONVERSIONS. IN THE FIRST EXAMPLE WE WANT TO CONVERT 240 OUNCES TO POUNDS AND THE CONVERSION IS 1 LB=16 OZ. SO WE’LL ST...
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You can make a tax-deductible donation here. Assume one of the poles initially contains all of the disks placed on top of each other in pairs of decreasing size. We accomplish this by creating thousands of videos, articles, and interactive coding lessons - all freely available to the public. How does the Tower of Hanoi...
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Looking for Math worksheets? Check out our pre-made Math worksheets! Tweet # Integrals Questions - All Grades You can create printable tests and worksheets from these Integrals questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button bef...
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# Search by Topic #### Resources tagged with Properties of numbers similar to Four Goodness Sake: Filter by: Content type: Stage: Challenge level: ### There are 65 results Broad Topics > Numbers and the Number System > Properties of numbers ### Escape from the Castle ##### Stage: 2 Challenge Level: Skippy and An...
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🎉 Exercism Research is now launched. Help Exercism, help science and have some fun at research.exercism.io 🎉 # RockLloque's solution ## to Collatz Conjecture in the Lua Track Published at Aug 22 2018 · 0 comments Instructions Test suite Solution The Collatz Conjecture or 3x+1 problem can be summarized as foll...
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Education.com Try Brainzy Try Plus # Adding and Subtracting Fractions Help based on 1 rating By McGraw-Hill Professional Updated on Sep 26, 2011 ## Adding and Subtracting Fractions - Same and Different Denominators ### Same Denominators When adding (or subtracting) fractions with the same denominators, add (or sub...
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# Can $\ln$ be written as a ratio of polynomials? Is it possible that $$\ln(x)=\frac{p(x)}{q(x)}$$ for all $$x>0,$$ where $$p$$ and $$q$$ are polynomials with real coefficients? I think the answer is no. Suppose two such polynomials did exist. Take the limit as $$x$$ goes to infinity. This gives that $$\deg(p)>\deg(q...
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## What Is The Ratio Of The Light Gathering Power Of A 4 M Telescope To That Of A 1 M Telescope? (Correct answer) As a result, a 4-m telescope captures 16 times the light of a 1-m telescope since it has a 16-fold larger surface area. ## How do you calculate light gathering power ratio? When comparing the light-gathe...
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# Average Sample Practice Questions with Answers ### Average Maths Exercise: Find the average of all prime numbers between 30 and 50? (a) 39.8 (b) 38.8 (c) 37.8 (d) 36.8 Ans. (a) The sum of two consecutive even numbers is 23 more than the average of these two numbers. What is the second number? (a) 22 (b) 24 (c) 26...
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# Winter 2006 Final The exam itself is available on WebCT and on Docuum. Didn't bother to type up the questions. ## 1Question 1¶ The equations \begin{align*} xyuv + 2 = 0 \\ x^2+2y^2+3u^2+4v^2-19 = 0\end{align*} define $u$, $v$ as functions of $x$, $y$ in the neighbourhood of the point $x=1$, $y=-1$, $u=2$, $v=1$....
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# Deriving Electric Field in y-direction from Line Charge of Lambda=4.5 nC/m • swain1 In summary, the problem involves finding the electric field in the y direction caused by a line charge with a density of lambda=4.5 nC/m on the x-axis from x=-5cm to x=5cm. The solution involves summing the electric fields in the y d...
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What is the derivative of sin squared plus cos squared x? Derivative of sin^2(x)+cos^2(x) Relevance there is an identity in math that states that sin^2(x)+cos^2(x) = 1 so what you are trying to find is the derivative of 1 the derivative of any constant, -1, 1, 2, 30, 5839, any number, is 0 therefore, the derivati...
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# Exam: 050292RR Polynomials and Polynomial Functions Exam: 050292RR Polynomials and Polynomial Functions 1. Graph the polynomial function f(x) = x. 2. Perform the indicated operations on the expression below. A. 20a B. a 3. Find the product of (x - 2y) A. x B. x C. x D. x 4. Completely factor the expression 48u 5. ...
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by L.N.Vaserstein Spring 2000    |   Fall 2000   | Spring 2001  |  Fall 2001 Roe | Spring 2002 Math 484.1, Linear Programming |  outlines & grading textbook: class notes. |   integrity | class time: MWF  10:10-11, 102 McAllister office hours:  MWF 8:30-10:00 am. 205 MB Current Topic:    ch.6 100%= 466  pts after  h8 ...
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# What is Scalar Quantity? Definition and Examples ## What is Scalar Quantity? In physics, a scalar quantity is a type of physical quantity that has only a magnitude or size, but no direction. This means that scalar quantities can be fully described by a single numerical value and a unit of measurement, and they do n...
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# What is 201/168 as a decimal? ## Solution and how to convert 201 / 168 into a decimal 201 / 168 = 1.196 Fraction conversions explained: • 201 divided by 168 • Numerator: 201 • Denominator: 168 • Decimal: 1.196 • Percentage: 1.196% 201/168 or 1.196 can be represented in multiple ways (even as a percentage). The k...
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# Some inequalities on chain of circle packing By my computation, I pose a conjecture as follows and I am looking for a proof: Conjecture: Let $(O)$ be a circle with radius $R$, and $n$ be positive integer $n\ge 3$. Construct $n$ circles $(O_1), (O_2), \cdots, (O_n)$ external tangent to $(O)$ and $(O_i)$ tangent to $...
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# 6827 (number) 6,827 (six thousand eight hundred twenty-seven) is an odd four-digits prime number following 6826 and preceding 6828. In scientific notation, it is written as 6.827 × 103. The sum of its digits is 23. It has a total of 1 prime factor and 2 positive divisors. There are 6,826 positive integers (up to 682...
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# Lesson 2: Finding the Missing Lengths using the Pythagorean Theorem By Donna Ventura Students will use the Pythagorean Theorem to find the missing lengths of the sides of right triangles. Use the Pythagorean Theorem to solve each of the problems. Learning Objective: The lesson is aligned to the Common Core State ...
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Ex 5.3 Chapter 5 Class 8 Squares and Square Roots Serial order wise ### Transcript Ex 5.3, 4 Find the square roots of the following numbers by the Prime Factorization Method. (iv) 4096 By prime Factorization, 4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 ∴ √𝟒𝟎𝟗𝟔= 2 × 2 × 2 × 2 × 2 × 2 = 4 × 4 × 4 = 16 × 4...
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1. ## Binomial series Expand (1+2x) ^(5/2) So far i have 1 + 5x – 15/2 x² but am not sure about the x³ thanks 2. Originally Posted by gracey Expand (1+2x) ^(5/2) So far i have 1 + 5x – 15/2 x² but am not sure about the x³ thanks The generalized binomial formula $\displaystyle (a+ b)^c$ where c does not have to ...
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# A system of 1st order nonlinear differential equations 1. Jun 18, 2010 ### quacam09 Hello, Can you give some suggestions to solve the following system of 1st order nonlinear differential equations? Thank you. $$$\begin{array}{l} u'(t) = Au^2 (t) + B(t)u + C(t) \\ u(t) = \left[ {\begin{array}{*{20}c} {x_1 (t)} \...
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# All Science Fair Projects ## Science Fair Project Encyclopedia for Schools! Search    Browse    Forum  Coach    Links    Editor    Help    Tell-a-Friend    Encyclopedia    Dictionary # Science Fair Project Encyclopedia For information on any area of science that interests you, enter a keyword (eg. scientific met...
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# Count of distinct numbers formed by shuffling the digits of a large number N • Difficulty Level : Medium • Last Updated : 16 Jun, 2022 Given a large number N in the form of a string, the task is to determine the count of distinct numbers that can be formed by shuffling the digits of the number N. Note: • N may co...
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8 Answered Questions for the topic Linear System Word Problem Linear System Word Problem 01/12/19 #### An shelter spends $3.50 per day to each bird and$4.00 per day to care each cat. the shelter use $82.00 for birds and cats. showing a total of 22 birds and cats. How many birds were at the shelter ? An animal shelt...
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# Equivalent Fraction 20/100 Equivalent Fraction 20/100 – Equivalent Fractions will help if your child has been taught to add up by using the conventional means of using the white finger and table numbers. It does not matter what method you employ or how long it takes, these flashcards and games are going to be much m...
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# Use real-life examples to teach Excel data tables Excel data tables aren't the easiest subjects to teach. Yet with a real-life example, your students should catch on quickly. Unless they are bankers or accountants, most of my Excel students are less than enthusiastic when it comes to learning data tables. They find...
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Home » Words to Numbers » 804.5 Million in Numbers # 804.5 Million in Numbers If you want to know what 804.5 million in numbers is, then you have found the right article. Here we have 804.5 million written out, related information as well as examples for you: ## Calculator Number Name Format Result Our converter a...
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Now let's consider how we would solve our problem of subtracting 110 from 710 using 2's complement. First, we need to convert 00012 to its negative equivalent in 2's complement. ``` 0111 (7) - 0001 - (1)``` To do this we change all the 1's to 0's and 0's to 1's and add one to the number. Notice that the most-significa...
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+0 +1 338 5 +1438 Given that the diagonals of a rhombus are always perpendicular bisectors of each other, what is the area of a rhombus with side length sqrt89 units and diagonals that differ by 6 units? Thanks so much! Mar 22, 2018 edited by AnonymousConfusedGuy  Mar 22, 2018 #4 +10441 +1 Given that the diagonal...
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# 2.2: Functions and Simple Graphs 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. A large part of science may be described as the study of...
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## 25370 25,370 (twenty-five thousand three hundred seventy) is an even five-digits composite number following 25369 and preceding 25371. In scientific notation, it is written as 2.537 × 104. The sum of its digits is 17. It has a total of 4 prime factors and 16 positive divisors. There are 9,744 positive integers (up ...
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Statistics Is is possible for the regression equation to have none of the actual (observed) data points located on the regression line? 1. 👍 0 2. 👎 0 3. 👁 113 1. true 1. 👍 0 2. 👎 0 posted by a Similar Questions 1. statistics Job Sat. INTR. EXTR. Benefits 5.2 5.5 6.8 1.4 5.1 5.5 5.5 5.4 5.8 5.2 4.6 6.2 5.5 5....
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# Swapping 3 rooks in a 3x3 grid This puzzle was inspired by this one: Swapping rooks in a 4x4 board What is the least number of moves required to swap black and white rooks? Rooks move using standard chess rules - any number of empty cells vertically or horizontally. You do not need to alternate players. • Is a "mo...
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George asked in Science & MathematicsMathematics · 7 months ago Airplane climbs at angle of 11 degrees. Find the ground distance it has travelled with it reaches altitude of 400ft. There is no more info.? Relevance • 7 months ago Let the ground distance be, x. 400/x = tan 11 x = 400/tan11 = 2,057.82 ft • Como Lv ...
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# How to solve a recurrence when the master theorem fails? [duplicate] How do solve the following recurrence? $$T(n) = \frac{1}{2} T\left(\frac{n}{2}\right) + \frac{1}{n}.$$ Master's theorem cannot be applied as $a$ is equal to 0.5 which is less than 1. Hence the theorem fails. How do I solve a recurrence when the t...
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08 - Greedy Scheduling Algorithms # 08 Greedy - “Greedy stays ahead” Prop ∀ k ≥ 0 I± the “earliest completion time” alg ²nishes its k-th job at time t then no ±easible This preview shows pages 1–2. Sign up to view the full content. 1/25/08 - Greedy Scheduling Algorithms Lecture: Greedy scheduling algorithms Reading:...
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Session 4, Part A: Meanings and Relationships of the Operations (40 minutes) In This Part: Addition | Subtraction | Multiplication | Division We will begin our look at the various meanings for each of the operations and the laws that govern the operations by examining addition. Addition is the simplest of the four o...
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Government recruitment exams Quantitative Aptitude Questions for Competitive Examinations 1. What sum of money lent out at compound interest will amount to Rs. 968 in 2 years at 10% per annum, interest being charged annually? (a) Rs. 900 (b) Rs. 825 (c) Rs. 780 (d) Rs. 800 Ans: (d) 2. A dice is thrown 5 times, then ...
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# Unit circle vs. ratios of right triangles vs. wave functions for introducing trig functions In an introductory trignometry course, there are many options for introducing trigonometric functions: 1. As ratios of sides of right triangles 2. As coordinates (or ratios of coordinates) of intersections of the unit circle...
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