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P: 6 We were told to make our own project, i chose to base mine on the conservation of momentum and used the pendulum. Though im kind of stuck, i need more things to write about and more equations i can calculate using the pedulum. all i have so far is E=mgh H1=0.145m (90dgrs) M=0.045kg E=0.045x9.8x0.145 E=0.063945 J 1...
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# Proportional and and Non-Proportional Relationships in Tables Videos and solutions to help Grade 7 students learn how to decide whether two quantities are proportional to each other. Related Topics: Lesson Plans and Worksheets for Grade 7 Lesson Plans and Worksheets for all Grades More Lessons for Grade 7 Common Co...
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# How do you find the length of the hypotenuse of a right triangle with legs of lengths 5 and 12? Apr 22, 2018 The length of the hypotenuse is $13$. #### Explanation: Using the Pythagorean theorem, ${a}^{2} + {b}^{2} = {c}^{2}$ where $c$ is the hypotenuse and $a$ and $b$ are the other two sides of a right triangl...
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# 2001 IMO Shortlist Problems/C4 ## Problem A set of three nonnegative integers $\{x,y,z\}$ with $x < y < z$ is called historic if $\{z - y,y - x\} = \{1776,2001\}$. Show that the set of all nonnegative integers can be written as the union of pairwise disjoint historic sets. ## Solution We describe a greedy algorit...
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# Generalized Great Circle Distance I am interested in applying the great circle distance formula to points on an n-sphere, and I would like to know how to generalize the spherical law of cosines to an n-sphere so that I can obtain the central angle. • Wouldn't you just use the law of cosines to find the angle then $...
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Unit 3 Lesson 3 Views: Category: Entertainment Presentation Description No description available. Presentation Transcript Unit 3: Basic Test Statistics and Correlation: Unit 3: Basic Test Statistics and Correlation Lesson 3: Measures of Spreadoutness Next Slide EDER 5350: Educational Evaluation and Assessment Dr...
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PRINTABLE FOR KIDS XII (12) HSC XI (11) FYJC X (10) SSC # Compound Interest ##### Class 8th Mathematics (new) MHB Solution ###### Practice Set 14.1 Question 1. Find the amount and the compound interest. (a) Principal = 2000/-, Rate = 5% (p.c.p.a), Duration (n) = 2 years 2 A = 2000 (1+0.05)2 A = 2000 (1.05)2 ...
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Presentation is loading. Please wait. # Algorithm Strategies Nelson Padua-Perez Chau-Wen Tseng Department of Computer Science University of Maryland, College Park. ## Presentation on theme: "Algorithm Strategies Nelson Padua-Perez Chau-Wen Tseng Department of Computer Science University of Maryland, College Park."— P...
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Home | | Maths 4th Std | Exercise 2.1 (Multiplication by lattice algorithm) # Exercise 2.1 (Multiplication by lattice algorithm) Text Book Back Exercises Questions with Answers, Solution : 4th Maths : Term 2 Unit 2 : Numbers : Exercise 2.1 (Multiplication by lattice algorithm) Exercise 2.1 1. Multiply the following...
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## 1500-Watt Heater on 15 Amp Circuit: Safe or Hazardous? Electricity is a basic necessity in modern life, and it powers everything from our smartphones to our homes. However, many people may not be aware of the limits of electrical circuits and the potential risks of overloading them. One common question people ask...
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- 20 # Print(2**3**2).? answer is 512 ...?how it is 512..? 8th Apr 2017, 5:51 AM eddula naresh + 8 Left to right precedence is fine. But there are other rules also, such as 2 pow (3 pow 2) You cannot calculate power of 2 until 3 pow 2 evaluates to a number. So, it needs to be evaluated first. 8th Apr 2017, 6:34 AM A...
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# Here's why the "cross product" works for this (plus Python solution) • I put "cross product" in quotes because, strictly speaking, it's not defined for 2D space. Summarizing what I've learned from the following, et al.: http://www.gamedev.net/topic/289972-cross-product-of-2d-vectors/#entry2828289 http://stackoverf...
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Home » 5 Is What Percent Of 2500? New # 5 Is What Percent Of 2500? New Let’s discuss the question: 5 is what percent of 2500. 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 number is 5% of 2500? Percentage ...
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Close Table of Contents Is gravity the same for all objects? One is MASS and the other is DISTANCE. Gravity acts on all masses equally, even though the effects on both masses may be different because gravity causes all objects to fall at the same constant rate of 9.8 m/s2. The mass of an object ALWAYS stays the same...
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# 370″ in ′ – 370 Inches to Feet What is 370″ in ′? Here we are going to show you how to convert 370″ to ′. Spelled out, it means 370 inches to feet. If you have been searching for 370″ in ′ or 370 inch to ft then you have come to the right site as well because inches are abbreviated as in or ″, and feet are abbrevia...
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# 6.2: Conjunctions $$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\rang...
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Home > Math Shortcuts > Square Properties Square Properties Square Properties Square shortcut tricks are very important thing to know for your exams. Competitive exams are all about time. If you know time management then everything will be easier for you. Most of us miss this thing. Here in this page we give few exa...
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# Exponential Growth of Mold in a Petri Dish: Modeling the Number of Cells in the Colony Understanding the growth of mold in a Petri dish is a fascinating exploration into the world of microbiology. This growth is often exponential, meaning that the number of cells in the colony doubles over a fixed period of time. Th...
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#### What is 7190 percent of 8,820? How much is 7190 percent of 8820? Use the calculator below to calculate a percentage, either as a percentage of a number, such as 7190% of 8820 or the percentage of 2 numbers. Change the numbers to calculate different amounts. Simply type into the input boxes and the answer will upd...
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# Limit of a function explained x \sinx x 10.841471... 0.10.998334... 0.010.999983... Although the function (sin x)/x is not defined at zero, as x becomes closer and closer to zero, (sin x)/x becomes arbitrarily close to 1. In other words, the limit of (sin x)/x, as x approaches zero, equals 1. In mathematics, the...
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# Modeling using Integer Programming Optimization using linear models. integer programming mathematical programming Published September 21, 2021 ## The Assignment Problem There are $$n$$ people available to carry out $$n$$ jobs. Each person is assigned to carry out exactly one job. Some individuals are better suite...
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# Quadratic congruence solver Math can be a challenging subject for many students. But there is help available in the form of Quadratic congruence solver. Keep reading to learn more! ## The Best Quadratic congruence solver One instrument that can be used is Quadratic congruence solver. With the internet, students ha...
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# Base of prism The base of the perpendicular prism is a rectangular triangle whose legs length are at a 3: 4 ratio. The height of the prism is 2cm smaller than the larger base leg. Determine the volume of the prism if its surface is 468 cm2. Result V =  540 cm3 #### Solution: Checkout calculation with our calcula...
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# Prove that the distributional derivative of the Cantor function is the the $\log_3 2$-Hausdorff measure restricted to the Cantor set The Cantor function has weak derivative equal to $$0$$ a.e. Its distributional derivative should be the $$\log_3 2$$-Hausdorff measure restricted to the Cantor set, but I'm having tro...
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## Essential University Physics: Volume 1 (4th Edition) We find the two components of the forces: x: $- T_2cos\theta + T_1 cos\theta=0$ y: $T_1 sin\theta - mg + T_2sin\theta=0$ We see that the two y tensions are equal, so we obtain: $2Tsin\theta - mg = 0 \\ T = \frac{mg}{2sin\theta}= \frac{17 \times 9.81}{2sin22^{\cir...
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CIE Oct 2020 9709 Mechanics Paper 42 This is part of a collection of videos showing step-by-step solutions for CIE A-Level Mathematics past papers. This page covers Questions and Worked Solutions for CIE Mechanics Paper 42 October/November 2020, 9709/42. Related Pages More A Levels Past Papers Share this page to Goo...
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# 179 kilometers in inches ## Conversion 179 kilometers is equivalent to 7047244.09448819 inches.[1] ## Conversion formula How to convert 179 kilometers to inches? We know (by definition) that: $1\mathrm{km}\approx 39370.079\mathrm{in}$ We can set up a proportion to solve for the number of inches. $1 ⁢ km 179 ⁢ k...
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# The Excel NORMDIST Function Normal Distribution The Normal distribution is a continuous probability function that is given by the formula: where μ is the mean of the distribution, σ2 is the variance, and x is the independent variable for which you want to evaluate the function. The Cumulative Normal Distribution ...
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# What does it mean for a limit to be unique? ## What does it mean for a limit to be unique? The uniqueness theorem for limits states that if the limit of exists at (in the sense of existence as a finite real number) then it is unique. ### How do you prove a function is unique? Note: To prove uniqueness, we can do ...
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A king has 1000 bottles of wine of same type.His rival king decides to kill him and send his secret killer to poison one of this wine bottle.The killer poison one of his bottle but was caught by the guards.The King came to know about this and he decides to check which bottle is poisonous. The king is very clever so he ...
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Q: # How do you find the domain of a rational function? A: A rational expression is a fraction. As with all fractions, the denominator of the expression cannot be equal to zero. The domain of an expression is all of the possible values for x. Finding all the values for x that equal zero shows which x values are rest...
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# The Double Negative-Inator Failure (Traduzir) Today we completed 1 year of posts, to commemorate this special date brought an analysis of my favorite cartoon, Phineas and Ferb. In particular, episode 187, “Huge Water Balls”. In this episode it is quite hot and Dr. Doofenshmirtz (an evil scientist) misses the winte...
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16 July, 11:32 # The function f (x) = 7x+15 models the time in minutes that a customer will wait to get an oil change if there are x cars in line ahead of the customer. How long will a customer wait if they are fifth car in the line? 28 minutes 35 minutes 43 minutes 50 minutes +1 1. 16 July, 13:28 0 43 minutes. Step...
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# Three horses A, B and C are in a race, A is twice as likely to win as B and B is twice as likely to win as C. What are their probabilities of winning? - Algebra Sum Three horses A, B and C are in a race, A is twice as likely to win as B and B is twice as likely to win as C. What are their probabilities of winning? ...
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## Transform the Puzzle into a Cube ### Step I: Get the puzzle into 3 distinct layers Square 1 is a mixture of small wedges, large wedges, and two trapezoids. The two trapezoids belong in the equator (middle layer) of the puzzle, and must be joined together: likethis: or likethat: Once the trapezoids are joined to...
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## Proof on Gauß Hello math&physic fans, I might found a proof on Gauß formula (n²+n/2)=1+2+...n). Have anoyone seen it before? (I wrote n#, just as an abbreviation, instead of 1+2+3...+n) Hi, Lls27, your attempt at a proof is a bit messy (not only the handwriting, but with that many corrections I think some signs ...
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You are on page 1of 33 # Theory of Groundwater Flow Topics 1. Differential Equations of Groundwater Flow 2. Boundary conditions 3. Initial Conditions for groundwater problems 4. FlowNet analysis 5. Mathematical analysis of some simple flow problems 1 ## 5.1. Differential Equations Examples of useful use of flow equ...
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# How do you find the exact value of tan^-1 0? Sep 28, 2017 0 #### Explanation: Remember that $\tan \left(\theta\right) = \sin \frac{\theta}{\cos} \left(\theta\right)$ You're looking for some angle $\theta$ for which $\sin \frac{\theta}{\cos} \left(\theta\right) = 0$ ...this occurs whenever $\sin \left(\theta\rig...
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Associated Topics || Dr. Math Home || Search Dr. Math ### Drawing a Circle Tangent to an Angle ``` Date: 05/13/2000 at 18:49:35 From: Andy Klee Subject: Drawing a circle within an angle and through a given point I was asleep last year when my geometry teacher had this extra credit problem on the board and explained ...
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Courses Courses for Kids Free study material Offline Centres More Store # How do you find the geometric means in the sequence 4 , _ , _ , _ , 324 ? Last updated date: 19th Jun 2024 Total views: 374.7k Views today: 9.74k Verified 374.7k+ views Hint:In order to find the solution to this question , we need to first unde...
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Question # Which of the following statements is/are correct?2x+y+12a=0 is normal to the parabola y2=4ax from the point (5a,2a)x−y−3a=0 is normal to the parabola y2=4ax from the point (5a,2a)If α is the angle between two tangents drawn from the point (−2,−1) to the parabola y2=4x, then tanα=3If α is the angle between t...
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Mr. McElroy enjoys listening to his MP3 player, which has 2,000 songs in five different genres of music. He took a sample of the number of each type of song it played on two different one-hour sessions when it was set to play a random mix. The results are displayed in the table below. What is a good prediction for the ...
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# CLASS 10 MATH NCERT SOLUTIONS FOR CHAPTER – 14 Statistics Ex – 14.1 ## Statistics Question 1. A survey was conducted by a group of students as a part of their environmental awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number...
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# M216: Exercise sheet 9 ## Warmup questions • 1. Let $$U\leq V$$. Show that $$\ann U\leq V^{*}$$. • 2. Let $$V$$ be finite-dimensional and $$U\leq V$$. Show that \begin{equation*} \dim \ann U+\dim U=\dim V. \end{equation*} ## Homework • 3. Prove at least one of the following assertions: • (a) Let $$E,F\leq V^{*...
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• 0 Vote(s) - 0 Average • 1 • 2 • 3 • 4 • 5 Matrix Operator Method Gottfried Ultimate Fellow Posts: 758 Threads: 117 Joined: Aug 2007 08/13/2007, 09:22 AM (This post was last modified: 08/13/2007, 02:53 PM by Gottfried.) *** I just tried my first latex-code in the hope to improve readability *** Matrix method for tetr...
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## Editorial for An Animal Contest 6 P3 - OAC Remember to use this editorial only when stuck, and not to copy-paste code from it. Please be respectful to the problem author and editorialist. Submitting an official solution before solving the problem yourself is a bannable offence. Authors: andrewtam, dxke02 Let's de...
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Scientific Notation. Presentation on theme: "Scientific Notation."— Presentation transcript: Scientific Notation What is Scientific Notation? Scientific notation is a way of writing numbers It is very convenient to express numbers that are too large or too small to be written in decimal form in a simpler way Try mul...
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# Mastering Autocorrelation in Regression Analysis: Testing and Correction Techniques Autocorrelation, also known as serial correlation, is a statistical phenomenon that occurs when a time series data set exhibits correlation with its past values. While it is a common feature in many data sets, it can have significant...
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1. ## combination there are 24 balls of 6 different sizes in a bag there being 4 balls of each size in four different colours in how many ways 4 balls can be selected so that they are of different colours 2. Hello, prasum! This one is very easy. $\text{There are 24 balls of 6 different sizes in a bag, there being 4...
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Examples Chapter 4 Class 12 Determinants Serial order wise Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class ### Transcript Question 9 Prove that |■8(b+c&a&[email protected]&c+a&[email protected]&c&a+b)| = 4abc Solving L.H.S Let ∆ = |■8(b+c&a&[email protected]&c+a&[email protected]&c&a+b)|...
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## What is the formula for 30-60-90 Triangle? In any triangle, you see the following: The shortest leg is across from the 30-degree angle, the length of the hypotenuse is always double the length of the shortest leg, you can find the long leg by multiplying the short leg by the square root of 3. ## What is the 3 4 5 ...
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# Where is the theory about "binary toggling games"? Let us -- using parameters $$M, N$$ and $$L$$ -- 1. create an ordered set of size $$M$$ of $$N$$-bit long vectors $$V$$ and initialize them randomly: $$V_k[i] = b \sim Bin(n=1, p=0.5)\ \forall i \in \{0\ ..\ N-1\}, \forall k \in \{0\ ..\ M-1\}$$. 2. create an N-bi...
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## Example 7.7 (Apéry Critical Points)¶ First, we see how to compute critical points for the Apéry example (in the [1,1,1,1] direction) using Gröbner bases. Requirements: None In [1]: # Set basic info for this example var('w,x,y,z') vars = [x,y,z,w] H = 1 - w*(1 + x)*(1 + y)*(1 + z)*(x*y*z + y*z + y + z + 1) # Form...
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1. ## Poisson Distribution Customers arrive at a department store checkout counter according to a Poisson distribution with mean of 7 per hour. In a given 2 hour period, what is the probability that 20 or more customers will arrive at the counter? I know I can solve it if I let the mean equal to 14 then solve for $1-...
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# ACT Math : Transformation ## Example Questions ### Example Question #1 : How To Find Transformation For An Analytic Geometry Equation If this is a sine graph, what is the phase displacement? π (1/2)π 0 4π 2π 0 Explanation: The phase displacement is the shift from the center of the graph. Since this is a si...
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# Lucky and Luna The Dogs ## Variables Independent Variable: Dog's Age (in months) - on x-axis Dependent Variable: Dog's Weight (in pounds) - on y-axis Lucky The Dog y=mx+b y=1x+2 Luna The Dog y=mx+b y=5/4+1 ## Point Of Intersection (y= x+2) - (y= 5/4x+1) 0=-x/4 + 1 x/4 = 1 x = 4 x 1 x= 4 Therefore, y= ...
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# Surface Area Formulas Related Topics: More Geometry Lessons In these lessons, we shall be looking at • a table of surface area formulas and volume formulas used to calculate the surface area and volume of three-dimensional geometrical shapes: cube, cuboid, prism, solid cylinder, hollow cylinder, cone, pyramid, sphe...
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The SBC GMAT Files Mixture Questions Pavel, Staff, Test Prep New York/Test Prep San Francisco Ratios, proportions, and percent calculations are one of the most frequently tested math concepts on the GMAT. But GMAT questions rarely ask to find a ratio of two explicitly stated numbers or to find a percentage of a given...
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# A pupil got grades of 83,80,85 and 77 in 4 tests.What must be the fifth grade to get an average of 83 2 by arizza 2014-09-12T10:34:10+08:00 The formula for the average of n values would be: (Value1 + Value2 + ... + Value n) ÷ n = Average So the equation would be: (83 + 80 + 85 + 77 + (5th grade)) ÷ 5 = 83 Let's ...
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Edit Article # How to Create an Excel Financial Calculator Community Q&A A financial calculator can be expensive for students. It is not intuitive to use and unless they become investment bankers or Realtors, most students will never use it after finishing the financial course. Fortunately, it is very easy to create...
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# Elements of geometry, containing books i. to vi.and portions of books xi. and xii. of Euclid, with exercises and notes, by J.H. Smith Rivingtons, 1872 - Geometry - 349 pages ### Popular passages Page 52 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; an...
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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!) A338038 a(n) is the sum of the primes and exponents in the prime factorization of n, but ignoring 1-exponents. 5 0, 2, 3, 4, 5, 5, 7, ...
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Bootstrapping and Subsampling: Part I BOOTSTRAPPING AND SUBSAMPLING: PART I Bootstrapping and subsampling are in the “amazing” category in statistics. They seem much more popular in statistics than machine learning for some reason. 1. The Bootstrap The bootstrap (a.k.a. the shotgun) was invented by Brad Efron. Here...
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## Question Divide the following rational expression. \begin{align*}\frac{x^2 + 5x + 6}{x^2 + 6x + 8} \div \frac{x^3 + 3x^2}{x^2 + 3x - 4}\end{align*} ## Solution Samuel High school teacher ยท Tutor for 5 years \begin{align*}\frac{x - 1}{x^2}\end{align*} Explanation Divide the rational expression: \begin{align*...
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A man leaves an estate of \$50,000 which is invested at 9% compounded monthly. At the time of his death, he has two children aged 13 and 18. Each child is to receive an equal amount from the estate when they reach age 21. How much does each child get? 1. 👍 2. 👎 3. 👁 1. Let's say that he sets aside \$x for the young...
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# Trig derivative 1. May 27, 2006 ### ultima9999 What is the derivative of $$cos\frac{1}{x}$$? Also, would $$cos\frac{1}{x}$$ equal 0 or infinity? Last edited: May 27, 2006 2. May 27, 2006 ### neutrino The cosine function can have values only within the interval [-1,1], and has the value 0 for certain values of ...
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# IBPS PO-Main Exam Questions and answers Topics 1. Exams 1. TNPSC 2. Bank Exams IBPS PO Main exam consists of below sections You can practice these questions as a real time exam in this link. 91). If the present population of a state is 27500 and after 2 years it increases to 40931, then what is the rate of incre...
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# RD Sharma Solutions for Class 11 Maths Chapter 9: Trigonometric Ratios of Multiple and Sub Multiple Angles The ninth chapter in the textbook RD Sharma is based on the double and half angles. The chapter also includes the formula for handling triple and (1/3)rd angles. The chapter teaches the students about the formu...
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# Aptitude - Time and Distance Candidates who are waiting to crack the competitive exams for various sectors. Practicing the question is very important part. So we are planned to update the questions in various topics like General Knowledge, General English, Aptitude & Logical reasoning. Aspirants may visit our site r...
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# Calculate molar mass of a compound from a given molecular mass The mass of one molecule of a compound is $2.19\times10^{-22}\ \mathrm g$. What is the molar mass of the compound? My attempt: Using the formula moles=mass/molar mass, I found how to calculate molar mass using the formula molar mass=moles/mass. Therefor...
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# Question: What Is Monomial In Math? ## What is Monomial give two example? A monomial is an expression in algebra that contains one term, like 3xy. Monomials include: numbers, whole numbers and variables that are multiplied together, and variables that are multiplied together. Any number, all by itself, is a monomia...
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You are on page 1of 3 # Additional Examples of Chapter 3: ## Discrete-Time Signals and Systems in the Frequency Domain Example E3.1: Determine the DTFT X(e j ) of the causal sequence n e j0 n j e + e j0 ne j [n] 2 ## Answer: x[n] = cos(o n + )[n] = A A j A j j n j e e o [n]+ e e o [n] . Therefore, = 2 2 1 1 A j...
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## Friday, April 28, 2017 ### Unizor - Definite Integrals - Area Examples Notes to a video lecture on http://www.unizor.com Definite Integrals - Area Examples Example 1 Find "area under curve" for f(x) = 10x on segment [a=0, b=4]. Solution First, let's experiment with a couple of simple cases. Case 1. N=2 Point...
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0 # Math and Arithmetic Felton O'Hara Lvl 10 2021-10-13 18:35:00 No Reviews Leave the first rating ## Rate this Study Guide: Cards in this guide (29) What kind of mathematics do scientists use to analyze data Scientists use a branch of mathematics called "statistics", which is mathematics for data analysis. What...
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# 102 F to C | How to Convert Fahrenheit to Celsius in Your Head Quickly Written By Emma Parker It’s summertime, and the weather is heating up! You probably want to know how hot it is outside if you’re like me. The temperature is measured in Fahrenheit in the United States and Celsius in most other countries. Convert...
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# Homework Help: Magnetic Forces 1. Feb 5, 2008 ### buckeyes When a charged particle moves at an angle of 19° with respect to a magnetic field, it experiences a magnetic force of magnitude F. At what angle (less than 90°) with respect to this field will this particle, moving at the same speed, experience a magnetic ...
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# Piecewise function and deriving - solving I'm working in a (Economics) problem where I want to add two concave (profit) functions in order to maximize them together through one variable (quantity). My problem is that one of the two functions shouldn't take negative values. I've built it as to take either the result ...
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# Solving a system of trigonometric equations, for x and y (multivariable calculus). • Feb 11th 2013, 03:14 PM Mik Solving a system of trigonometric equations, for x and y (multivariable calculus). Alright, here's the problem: theta = arctan(y/(x-1)) and phi = arctan(y/(x+1)) I started off by taking the tangent of e...
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# All Educational Materials at St. Mary's College of Maryland ## Trending Frequently-seen exam questions from 2014 - 2018. SBUBIO 315Matthew SchmidtSpring ## BIO 315 Study Guide - Midterm Guide: Chromosome, Provirus, Antiviral Drug OC270079212 Page 0 Bio 315 microbiology: mid term exam 2 spring 2015. Please fill in...
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Subjects like Science, Maths, English will become easy to study if you have access to NCERT Solution for Class 7 Science , Maths solutions and … Get Free NCERT Solutions for Class 7 Maths Chapter 7 Perimeter and Area Ex 11.2 PDF. Therefore, the radius of the circle having area equal to the sum of the areas of the two c...
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+0 # help me plz! -2 41 1 +1347 Let $f(x) = \frac{\sqrt{2x-6}}{x-3}$.  Find the smallest integer value $a$ such that $f(a) = 1$. Aug 17, 2023 #1 +121 -1 To find the smallest integer value $$a$$ such that $$f(a) = 1$$, we need to solve for $$a$$ in the equation $$f(a) = 1$$, where $f(x) = \frac{\sqrt{2x-6}}{x-3}$...
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# How to find all the edges shared by all diametral paths of a tree? A diametral path in a graph is a shortest path whose length is equal to the diameter of the graph. Now, given a tree with $$n$$ nodes, I would like to find the set of edges (possibly empty) which are present in all diametral paths. Is there an effici...
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# If , then find values of x. Question: If , then find values of x. $\left[\begin{array}{ccc}4-x & 4+x & 4+x \\ 4+x & 4-x & 4+x \\ 4+x & 4+x & 4-x\end{array}\right]$ Solution: Given, $\quad\left|\begin{array}{lll}4-x & 4+x & 4+x \\ 4+x & 4-x & 4+x \\ 4+x & 4+x & 4-x\end{array}\right|=0$ [Applying $R_{1} \rightar...
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# Difference between revisions of "2018 AMC 10B Problems/Problem 25" ## Problem How many $x$ satisfy the equation $x^2 + 10,000\lfloor x \rfloor = 10,000x$? $\textbf{(A) } 197 \qquad \textbf{(B) } 198 \qquad \textbf{(C) } 199 \qquad \textbf{(D) } 200 \qquad \textbf{(E) } 201$ ## Solution This rewrites itself to $x...
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Find the maximum and minimum values, if any, of the following functions given by $f (x) = -\mid x+1\mid+3$ $\begin{array}{1 1}Maximum = 0 \\ Maximum= 4 \;Minimum =0 \\ Maximum=3,No\;minimum \;value \\ Maximum =8\;Minimum =0 \end{array}$ Toolbox: • $f$ is said to have a maximum value in $I$ , if there exist a point c ...
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# Coriolis Force To explain the Coriolis force it is first necessary to explain Coriolis acceleration. When an object simultaneously rotates about a point and moves relative to that point, an acceleration results from this. This acceleration is called Coriolis acceleration. To illustrate this acceleration, consider ...
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# Two latitude and longitude calculate their distance java/c#/c Source: Internet Author: User calculation distance principle of latitude and longitude interchange of latitude and longitude Degree (DDD): E 108.90593 degrees N 34.2163 degrees How to Degree (DDD):: 108.90593 degrees to the degree of seconds (DMS) Lon...
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Mathematics # If the integral $\int \dfrac {5 \tan x}{\tan x-2}dx=x+\alpha In|\sin x-2 \cos x|+k$ , then $a$ is equal to $2$ ##### SOLUTION $I = \int\dfrac{5 \ tan x}{tan x -2}dx$ $I = \int\dfrac{5 \ \dfrac{sin \ x}{cos\ x}}{\dfrac{sin\ x }{cos\ x} -2}dx\Rightarrow \int\dfrac{5 sin x}{sinx-2cos x}dx$ $\begin{bmatr...
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# Ch 51: PLACE Mathematics: Summarizing Data Get ready to review methods for summarizing data correctly in preparation for your PLACE Mathematics exam. We provide expert instruction and self-assessment quizzes to help you understand the material you'll see on the test. ## PLACE Mathematics: Summarizing Data - Chapter...
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## DEV Community Shalvah Posted on • Updated on • Originally published at blog.shalvah.me # Solving a logic puzzle I want to share a little algorithm I wrote to solve a puzzle. It's fairly basic computer science, but I feel a bit proud of it because I worked through it methodically, rather than just "hacking it out...
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# What temp is 30c in Fahrenheit? ## What temp is 30c in Fahrenheit? Calculator Use Temperature conversions are performed by using a formula, which differs depending on the two temperature scales you are converting between. For example, to convert 50 degrees Celsius (centigrade) to Fahrenheit, we plug our numbers int...
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# 1.3.2. Numerical operations on arrays¶ ## 1.3.2.1. Elementwise operations¶ ### 1.3.2.1.1. Basic operations¶ With scalars: >>> a = np.array([1, 2, 3, 4]) >>> a + 1 array([2, 3, 4, 5]) >>> 2**a array([ 2, 4, 8, 16]) All arithmetic operates elementwise: >>> b = np.ones(4) + 1 >>> a - b array([-1., 0., 1., 2....
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# Search by Topic #### Resources tagged with Investigations similar to Uncanny Triangles: Filter by: Content type: Stage: Challenge level: ### There are 146 results Broad Topics > Using, Applying and Reasoning about Mathematics > Investigations ### Tiles on a Patio ##### Stage: 2 Challenge Level: How many ways c...
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# Algebraic extension In abstract algebra, a field extension L/K is called algebraic if every element of L is algebraic over K, i.e. if every element of L is a root of some non-zero polynomial with coefficients in K. Field extensions which are not algebraic, i.e. which contain transcendental elements, are called trans...
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##### A point is located in a polar coordinate system by the coordinates r = 1.8 m and θ = 18°. Find the x Engineering Tutor: None Selected Time limit: 1 Day A point is located in a polar coordinate system by the coordinates r = 1.8 m and θ = 18°. Find the x- and y-coordinates of this point, assuming that the two co...
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Select Page # Subtracting Decimals Students learn to subtract decimals by first lining up the decimal points, then subtracting the numbers by column. For example, to subtract 9.514 - 1.6, first line up the decimal points, then subtract the digits the thousandths column, to get 4 - 0, or 4, then subtract the digits in...
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# Reduce to lowest terms: `(3m^2 - 27)/(m^2 + 3m - 18)` Posted on The expression `(3m^2 - 27)/(m^2 + 3m - 18)` has to be simplified to the lowest terms. `(3m^2 - 27)/(m^2 + 3m - 18)` = `(3*(m^2 - 9))/(m^2 + 6m - 3m - 18)` = `(3*(m^2 - 9))/(m(m + 6) - 3(m + 6))` = `(3*(m - 3)(m + 3))/((m - 3)(m + 6))` = `(3*(m + ...
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# Quadratic questions : rational roots problem • Mar 30th 2009, 12:37 PM champrock Quadratic questions : rational roots problem consider a quadratic equation (a+c-b)x^2 + 2cx + (b+c-a) = 0, where a,b,c are distinct real numbers and a+b-c is not equal to 0. Suppose that both the roots of the equation are rational. Then...
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# analazye profit functions For a certain company, the cost function for producing x items is C(x)=40x+150 and the revenue function for selling x items is R(x)=−0.5(x−80)2+3,200. The maximum capacity of the company is 100 items. The profit function P(x) is the revenue function R(x) (how much it takes in) minus the co...
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× Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 3 - Problem 69e Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 3 - Problem 69e × # Each of 12 refrigerators of a certain type has been ISBN: 9780321629111 32 #...
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