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# A construction of the ellipse given the semiaxes. The ellipse area. The elliptical segment area. Perimeter of the ellipse (notes by R. Bigoni) ## 1. The parametric equations of an ellipse From the canonical equation of the ellipse we can easily deduce the expressions of the cartesian coordinates of a point P of th...
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# Algebra II End of Course Exam Answer Key Segment I. Scientific Calculator Only Size: px Start display at page: Transcription 1 Algebra II End of Course Exam Answer Key Segment I Scientific Calculator Only 2 Question 1 Reporting Category: Algebraic Concepts & Procedures Common Core Standard: A-APR.3: Identify zero...
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Complex Numbers and Cubic Polynomial Roots • Sep 17th 2010, 12:12 PM Complex Numbers and Cubic Polynomial Roots Hello everyone, Let w be one of the three complex numbers having the property that w^3 = -4 + 4*sqrt(3)i. What is the |w|? Also if a = 2Re(w) how can one show that a is a root of the polynomial: p(z) = z^...
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# Category Archives: Bayes Theorem ## Telephone Calls throughout the Week Telephone calls come in to a customer service hotline. The number of calls that arrive within a certain time frame follows a Poisson distribution. The average number of calls per hour depends on the day of the week. During the week (Monday thro...
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# Chaos on Sequence Space Out line Chaos: Chapter 10 Definitions Aside: Decimal expansion of Rational Numbers Summary Definition of Chaos Definition A dynamical system F is chaotic if Periodic points of F are dense F is transitive F depends sensitively on initial conditions We will define and then examine each o...
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# calc lecture01 Post on 28-Apr-2017 213 views Category: ## Documents Embed Size (px) TRANSCRIPT • MA 100 Mathematical Methods Calculus Lecture 1 Introduction Vectors and Lines Department of Mathematics London School of Economics and Political Science • What is Calculus ? from Wikipedia : Calculus ( Lati...
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### Paving Paths How many different ways can I lay 10 paving slabs, each 2 foot by 1 foot, to make a path 2 foot wide and 10 foot long from my back door into my garden, without cutting any of the paving slabs? ### 1 Step 2 Step Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two...
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Math Paper2 Citation preview Cambridge International Examinations Cambridge Primary Checkpoint  0845/02 MATHEMATICS Paper 2 April 2016 45 minutes Pen Pencil Ruler Protractor Calculator Tracing paper (optional) READ THESE INSTRUCTIONS FIRST Write your Centre number, candidate number and name in the...
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Question # What is a derivative in physics? Open in App Solution ## Derivative means:A derivative is a rate of change, which is the slope of a graph in geometric terms. In physics, velocity is defined as the rate of change of position, hence velocity is the derivative of position numerically.Acceleration is the deri...
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# Communications satellites in geosynchronous orbit ## Homework Statement Communications satellites are placed in a circular orbit where they stay directly over a fixed point on the equator as the earth rotates. These are called geosynchronous orbits. The altitude of a geosynchronous orbit is 3.58*10^7 m. What is th...
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Q # Solve the following pair of linear equations: (ii) ax + by = c bx + ay = 11 + c Q7.    Solve the following pair of linear equations: (ii)    $\\ax + by = c\\ bx +ay = 1 + c$ Views Given Two equations, $\\ax + by = c.........(1)\\ bx +ay = 1 + c.........(2)$ Now By Cross multiplication method, $\frac{x}{b_1c...
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# What date is 22 days added from Saturday July 20, 2024? ## Sunday August 11, 2024 Adding 22 days from Saturday July 20, 2024 is Sunday August 11, 2024 which is day number 224 of 2023. This page is designed to help you the steps to count 22, but understand how to convert and add time correctly. • Specific Date: Sat...
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## Problems 1. (20 points) Which equivalences are true (justify your answer with a proof or counter-example) • []f → <>g ⇔ f U (g \/ !f) • X <> f1 ⇔ <> X f1 • (f U g) U g ⇔ f U g • [] f /\ X <> f ⇔ []f • <> f /\ X []f ⇔ <>f 2. (20 points) The CTL formula AF (AG p) is stronger than the LTL formula FG p meaning that a...
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1. ## Polynomial Functions Can anyone help me solve this question..its urgent ^^ thank you For each of the following polynomial functions, determine if each of x=-1, x=0 and/or x=2 is a zero of the polynomial and, if so, whether its muliplicity is even or odd. 1.) f(x)= x^4+2x^3+2x^2 2.) g(x)=5x^2-5x-10 3.) h(x)= x^...
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<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" /> # 3.12: Trigonometric Equations Using Half Angle Formulas Difficulty Level: At Grade Created by: CK-12 Estimated5 minsto complete % Progress Practice Trigonometric Equations Using Half A...
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## Need help solving weirdly phrased quadratic equations Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc. algebraid Posts: 3 Joined: Thu Jul 02, 2009 6:32 pm Contact: ### Need help solving weirdly phrased quadratic equations Since this site has already helped m...
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## Credits Walchand College of Engineering (WCE), Sangli Shweta Patil has created this Calculator and 1000+ more calculators! Indian Institute of Information Technology (IIIT), Bhopal Mridul Sharma has verified this Calculator and 1000+ more calculators! ## Edge length of Elongated Dodecahedron given height Solution ...
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My Math Forum Evaluating limits algebraically Pre-Calculus Pre-Calculus Math Forum February 27th, 2019, 08:02 AM #1 Newbie   Joined: Feb 2019 From: São Paulo, Brasil. Posts: 1 Thanks: 0 Evaluating limits algebraically Can anyone solve this, please? I'm stuck! $\lim_{x \rightarrow 0}\frac{\frac{1}{\sqrt{9+x}}-\frac{...
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# Laplacian of 1/r is zero at orign Hey All, In my vector calculus class my lecturer was showing that the laplacian of 1/r is zero. He further said that since 1/r and its derivatives are not defined at the origin we state that the Laplacian of 1/r is zero for all values of r not equal to zero. He then says that this ...
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# Show by Using the Graphical Method That: S = U T + 1 2 a T 2 Where the Symbols Have Their Usual Meanings. - Science Show by using the graphical method that: s=ut+1/2at^2 where the symbols have their usual meanings. #### Solution Suppose the body travels a distance (s) in time (t). In the figure, the distance trav...
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Tämä kurssi on jo päättynyt. $\newcommand{\N}{\mathbb N} \newcommand{\Z}{\mathbb Z} \newcommand{\Q}{\mathbb Q} \newcommand{\R}{\mathbb R} \renewcommand{\C}{\mathbb C} \newcommand{\ba}{\mathbf{a}} \newcommand{\bb}{\mathbf{b}} \newcommand{\bc}{\mathbf{c}} \newcommand{\bd}{\mathbf{d}} \newcommand{\be}{\mathbf{e}} \newcomm...
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Perform the indicated operation. (2x - 4y)(2x + 4y) Question Updated 3/16/2016 11:52:16 PM This conversation has been flagged as incorrect. Flagged by arel [3/16/2016 6:43:19 PM] s Original conversation User: Perform the indicated operation. (2x - 4y)(2x + 4y) Weegy: 2x - 4y for x = 2 and y = 4; 2(2) - 4(4) = 4 - 16 =...
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# Bounding the diameter of a triangle in hyperbolic geometry Prove that there exists a universal constant $K$ such that given any three geodesics in the $\gamma_1, \gamma_2, \gamma_3$ in the hyperbolic plane forming a triangle, there exists three points $A \in \gamma_1$, $B \in \gamma_2$, $C \in \gamma_3$ such that th...
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# Find the HCF of 144 and 198? Answer: Highest Common Factor or HCF is the largest common divisor or gcd of two or more positive integers, as the mathematics rules dictate, appears to be the largest positive integer that divides the numbers without leaving a remainder. Example: Consider the two number 8 and 12. As...
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# prove -0 =0 ## Recommended Posts prove : -0=0 ##### Share on other sites Why? You didn't even bother to specify why you are asking this question and what your background is. I see little point in working out a proof based on group theory if you don't even know what algebra (also known as "abstract algebra" in th...
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Math Concepts Pick the Odd One Out 240.3k views 1 Introduction 2 What is 'Odd one out'? 3 Examples 4 Summary 5 Frequently Asked Questions (FAQs) ## Introduction Picking the “Odd one out” is an activity designed to develop a learner’s observation, application, and analytical skills. A puzzle (generally images) for ...
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# For which interval of time is the height of the ball greater than or equal to 52 feet? When a baseball is hit by a batter, the height of the ball, h(t), at time t, t>=0, is determined by the equation h(t)=-16t^2+64t+4.  For which interval of time is the height of the ball greater than or equal to 52 feet? This is a ...
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Share Explore BrainMass # Simplifying Expressions and Solving Equations and Inequalities Simplify the following expressions: 16. 4[x - 2(x - 3)] 17. 5[2x - (x + 3)] - (4 - x) Solve the following equations & inequalities for x: 18. 7 - 5(x - 3) + 4 = 2 + 3(x + 4) 19. (x + 2) / 3 = (x - 1)/4 20. 2x - 6 > 4(-3 + x...
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Solving $2\arcsin\frac{x}{2}+\arcsin(x\sqrt{2})=\frac{\pi}{2}$ How do I solve this equation: $$2\arcsin\frac{x}{2}+\arcsin(x\sqrt{2})=\frac{\pi}{2}$$ We know that: $$\sin(\alpha+\beta)=\sin\alpha\cos\beta+\cos\alpha\sin\beta$$ So letting $\alpha = 2\arcsin\frac{x}{2}$ and $\beta=\arcsin(x\sqrt{2})$ leads to: $\sin...
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MathOverflow will be down for maintenance for approximately 3 hours, starting Monday evening (06/24/2013) at approximately 9:00 PM Eastern time (UTC-4). ## Homomorphism that preserves exponentiation [closed] Can you give an example of a function o: C->C (complex numbers) such that o(a + b) = o(a) + o(b) and o(a^s) = ...
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# Cipolla's algorithm Cipolla's algorithm is a draft programming task. It is not yet considered ready to be promoted as a complete task, for reasons that should be found in its talk page. Cipolla's algorithm Solve x² ≡ n (mod p) In computational number theory, Cipolla's algorithm is a technique for solving an equat...
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-x + 10 less than 0 Question Updated 4/24/2014 7:17:35 AM Original conversation User: -x + 10 less than 0 User: Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2 User: 3x^2+5x-2-[2-x^2+x+5] Question Updated 4/24/2014 7:17:35 AM Rating 3 (2x^2 + 3x - 4) + (8 - 3x) + (-5x^2 + 2) = 2x^2 + 3x - 4 + 8 - 3x - 5x^2 + 2 ...
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# Bernoulli's Equation and water rockets So i'm playing around with some water rockets and I'm trying to figure out how fast the exhaust velocity of the water is. I've had an experimental approach using high fps camera to record and analyse (using tracker) the exhaust velocity. I'm using a 0,5 l soda bottle with 0,085...
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# Perfect Pizza Calculator Created by Dominik Czernia, PhD and Kacper Pawlik, MD Reviewed by Bogna Szyk and Jack Bowater Based on research by Varlamov A, Glatz A, Grasso S. The Physics of baking good Pizza; Physics Education, Vol 53, No. 6; September 2018 Last updated: Jan 18, 2024 Pizza is one of the most, if not th...
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# Euler's Method And Ap Calculus Bc: What You Need To Know The Euler’s Method is an important concept to understand for any student enrolled in the AP Calculus BC course. It’s a numerical method used to approximate solutions to differential equations. In this article, I’ll explain what it is, how it’s used, and the im...
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# The Law of Mass Action explained • henxan #### henxan Hi! I wondered if there is possible to get an explanation of the "Law of mass action." Here is a simple derivation: eq.1 aA + bB = cC + dD eq.2 R(f)= k(f)[A]^a*^b eq.3 R(b)= k(b)[C]^c*[D]^d eq.4 At equilibrium R(f)=R(b) eq.5 k(e)=k(f)/f(b)=([C]^c*[D]^d)/([A]^...
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## Lecture Movies Chapter 8 8.1: Introduction to Functions 8.2: Graphs of Functions 8.3: The Algebra of Functions 8.4: Composite and Inverse Functions Chapter 9 9.3: Equations and Inequalities Involving Absolute Value Chapter 10 10.1: Radical Expressions and Functions 10.2: Rational Exponents 10.3: Multiplying and Si...
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# Mathematics / Year 5 / Statistics and Probability / Data representation and interpretation Version 8 Curriculum content descriptions Pose questions and collect categorical or numerical data by observation or survey (ACMSP118) Elaborations • posing questions about insect diversity in the playground, collecting data...
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# Graphing Hand Span and Height ```Name ______________________________________ Graphing Hand Span and Height Data is often represented in graphs, though there are different types of graphs averages. In this exercise, you will use a graph to represent hand spans of your classmates and determine how the hand span is rel...
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# How to Graph Linear Equations Using the Intercepts Method? There are many ways to graph a line: plugging in points, calculating the slope and y-intercept of a line, using a graphing calculator, etc. This article will teach you how to graph a line using int... Read More » http://www.wikihow.com/Graph-Linear-Equations...
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# Log Ride Alignments to Content Standards: 6.EE.B.5 A theme park has a log ride that can hold 12 people. They also have a weight limit of 1500 lbs per log for safety reasons. If the average adult weighs 150 lbs, the average child weighs 100 lbs and the log itself weighs 200, the ride can operate safely if the inequa...
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# Search by Topic #### Resources tagged with Cubes similar to Pumpkin Patch: Filter by: Content type: Stage: Challenge level: ### There are 22 results Broad Topics > 3D Geometry, Shape and Space > Cubes ### Dice, Routes and Pathways ##### Stage: 1, 2 and 3 This article for teachers discusses examples of problems...
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# Calculate the parallel resonant circuit Calculator and formulas for calculating a parallel resonant circuit from inductor, capacitor and resistor ## Calculate the RCL parallel resonant circuit This function calculates the most important values of a parallel resonant circuit consisting of a resistor, inductor and c...
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# 54 kilometers in millimeters ## Conversion 54 kilometers is equivalent to 54000000 millimeters.[1] ## Conversion formula How to convert 54 kilometers to millimeters? We know (by definition) that: $1\mathrm{km}=1000000\mathrm{mm}$ We can set up a proportion to solve for the number of millimeters. $1 ⁢ km 54 ⁢ km...
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# Homework Help: Electric field at a distance from a charged disk 1. Jan 20, 2013 ### kb1408 A disk of radius 2.4 cm carries a uniform surface charge density of 3.1 μ C/m2. Using reasonable approximations, find the electric field on the axis at the following distances. I have used the equation E=(Q/ε0)(1/(4*pi*r2))...
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Houston Teacher Workshop June 27-28, 2007 Using Math Software Tools in the Middle School Classroom a workshop for middle grades teachers Cynthia Lanius, Rachel Klein, and Carolyn Swann, Facilitator Thursday, June 28, 2007 8:30 To get started today, review Using what was introduced Day 1, try this: • Search or brows...
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Third law of thermodynamics Third law of thermodynamics, Definition of Third law of thermodynamics: 1. See thermodynamics. Meaning of Third law of thermodynamics & Third law of thermodynamics Definition Third Law of Thermodynamics “The entropy becomes constant or the change in entropy is zero when the temperature...
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# multiplication table for mod n, n prime How do I prove that multiplication table for mod n, where n is a prime gives rise to a latin square if the row and column of 0 is omitted? I need to prove for a fixed i, i * k is distinct when k runs from 1 to n. How do I use the fact that n doesn't have any factors other tha...
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Basic Math | Basic-2 Math | Prealgebra | Workbooks | Glossary | Standards | Site Map | Help # More or Less: Comparing Products of Multiplication Let's take a minute to look at the ideas of "less than", "greater than", and "equal to". Throughout math, you will be comparing two values. You will need to understand that ...
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# Homework Help: Charge flow in a RC circuit Tags: 1. Jan 14, 2018 ### sumit_1 • Member advised to use the formatting template for all homework help requests; Thread moved to Introductory Physics Homework from Advanced Physics Homework. I have a RC circuit which also includes a battery, the capacitor has some charge...
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# What is 5/9 + 3/9? 5 9 + 3 9 ## Step 1 Since our denominators match, we can add the numerators. 5 + 3 = 8 8 9 ## Step 2 The last step is to reduce the fraction if we can. To find out, we try dividing it by 2... No good. So next you try the next prime number, which is 3... No good. So next you try the nex...
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# Largest number with five 1's and five numeric operations [closed] You have five 1's at your disposal, together with five arithmetic operations of your choice. However, as you only have five operations, you should choose them wisely. Question: What is the largest integer that you can generate this way? Rules: • Nu...
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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!) A039753 Numbers common to A006145 and A039752. 6 5, 77, 714, 5405, 26642, 52554, 95709, 154842, 173162, 204258, 208581, 248109, 278277...
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#### What is 5540 percent of 2,640? How much is 5540 percent of 2640? Use the calculator below to calculate a percentage, either as a percentage of a number, such as 5540% of 2640 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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# The Parallelogram Rule 2 teachers like this lesson Print Lesson ## Objective SWBAT to show that addition of complex numbers may be represented by a parallelogram in the complex number plane. #### Big Idea A graphical context makes arithmetic with complex numbers more meaningful and concrete. ## A Particular Exa...
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## Implicit Functions We now turn to the topic of implicit differentiation. We say that y is an implicit function of x if we are given an equation σ(x, y) = τ(x, y) which determines y as a function of x. An example is x + xy = 2y. Implicit differentiation is a way of finding the derivative of y without actually solv...
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# Algebra X+y=5, find xy (find the product of x and y if x+y = 5) Result f = (Correct answer is: 5x-x^2) #### Solution: Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! #### To solve this example are needed these knowledge from mathematics: Looki...
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# Ratio Sites with clear Resources by Topic – Ratio GCSE Content – Ratio, proportion and rates of change 1. change freely between related standard units (e.g. time, length, area, volume/capacity, mass) and compound units (e.g. speed, rates of pay, prices, density, pressure) in numerical and algebraic contexts 2. us...
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## Precalculus (6th Edition) $45$ minutes ( or 0.75 hours) Distance traveled by either runner = (average speed)(time of travel). If the speed is given in mph, the time is expressed in hours. After t hours, Mary covers $7t$ miles. Janet covers $5t$ miles. We want the time t at which Mary has covered 1.5 mi more than Ja...
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# An aircraft is vertically above a point which is 10 km West and 15 km North of a control tower. If the aircraft is 4000 m above the ground, how far is it from the control tower? 1 by nafisathakur 2015-01-29T17:08:55+05:30 Let us suppose that control tower at the origin(0,0),and ground in the X-Y plane. hence the di...
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High stakes gambling with Paula Rowińska “I’m really sorry, the vampirograph indicated that you are a vampire.” Imagine that you (or your mother/brother/girlfriend/pet scorpion) received such a message. You’re probably terrified, worrying about the future, thinking about the upcoming treatment. Wait a moment! Before y...
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1/10/10 Test 9 Section 5 - #18 (page 907) They tell us there are 18 of each arc, and also that the circumference is 45, so the first thing I wanna do is write an equation. 18(2) + 18b = 45 36 + 18b = 45 18b = 9 b = 0.5 Note that since the diagram is drawn to scale, you can actually eyeball it and verify the answer ...
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# Calculating Molarity This is a series of lectures in videos covering Chemistry topics taught in High Schools. These lessons look at how to calculate moles and molarity. The following diagram shows how to convert between Molarity, Moles and Volume. Scroll down the page for more examples and solutions. Molarity Prac...
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If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. ## Digital SAT Math ### Course: Digital SAT Math>Unit 12 Lesson 13: Polynomial and other nonlinea...
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# How to Convert Between Z-Scores and Percentiles in Excel z-score tells us how many standard deviations away a certain value is from the mean of a dataset. percentile tells us what percentage of observations fall below a certain value in a dataset. Often we wish to convert between z-scores and percentiles, dependin...
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39211 (number) 39,211 (thirty-nine thousand two hundred eleven) is an odd five-digits composite number following 39210 and preceding 39212. In scientific notation, it is written as 3.9211 × 104. The sum of its digits is 16. It has a total of 2 prime factors and 4 positive divisors. There are 38,752 positive integers (...
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# Ordered Prime Signature • Last Updated : 19 Jun, 2022 Given a number n, find the ordered prime signatures and using this find the number of divisor of given n. Any positive integer, ‘n’ can be expressed in the form of its prime factors. If ‘n’ has p1, p2, … etc. as its prime factors, then n can be expressed as : N...
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# Complex number inequality complexnumber ## Homework Statement Let $$z,w$$ be complex numbers. ## Homework Equations Prove there is a real number $$\alpha < 1$$ such that $$\left|\frac{z^7 + z^3 - i}{9} - \frac{w^7 + w^3 - i}{9}\right| \leq \alpha \left|z - w\right|$$ The goal is to show that $$\displaystyle q(z...
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## Some Logical(?) Arguments Click on question number to see the analysis 1. If Alice is wrong, then Bill is wrong. If Bill is wrong, then Connie is wrong. Connie is wrong. Therefore, Alice is wrong. 2. If turtles can sing, then artichokes can fly. If artichokes can fly, then turtles can sing and dogs can't play che...
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# Alg Does log eqaul to baswe 10? So would logb=a be rewritten as 10^a=b? AND Why would ln5=x be rewritten as e^x=5? is it because ln also means ln(e) the e is supposed to be lowered idk how. 1. 👍 0 2. 👎 0 3. 👁 49 ## Similar Questions 1. ### Maths Assume that x, y and z are positive numbers. Use the properti...
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Metamath Proof Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  MPE Home  >  Th. List  >  r19.21v Structured version   Visualization version   GIF version Theorem r19.21v 3126 Description: Restricted quantifier version of 19.21v 1898. (Contributed by NM, 15-Oct-2003.) (Proof shortened by Andrew Salmo...
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# If the generating function summation and zeta regularized sum of a divergent exist, do they always coincide? One could assign a value to divergent series by means of several summation methods. One summation method we could consider is the generating function method. Let's sum, for example, the fibonacci series by me...
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# 2016 AMC 12B Problems/Problem 16 ## Problem In how many ways can $345$ be written as the sum of an increasing sequence of two or more consecutive positive integers? $\textbf{(A)}\ 1\qquad\textbf{(B)}\ 3\qquad\textbf{(C)}\ 5\qquad\textbf{(D)}\ 6\qquad\textbf{(E)}\ 7$ ## Solution We proceed with this problem by co...
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# Calculating fourier transform I have just recently started doing fourier transforms and I'm a little confused. Can someone walk me through in detail how to calculate the Fourier transform of I'm not looking for answer, just an explanation of how to go about doing it. • so you $y(t)$ is just $y(t) = \sin (2\pi f t...
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### LeetCode Challenge #867. Transpose Matrix Given a 2D integer array `matrix`, return the transpose of `matrix`. The transpose of a matrix is the matrix flipped over its main diagonal, switching the matrix’s row and column indices. Example 1: ```Input: matrix = [[1,2,3],[4,5,6],[7,8,9]] Output: [[1,4,7],[2,5,8],[...
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# PIECEWISE-DEFINED FUNCTIONS • PRACTICE (online exercises and printable worksheets) A piecewise-defined function has different rules for different inputs. Here is a typical piecewise-defined function: $$f(x) = \cases { -x + 3 &\text{if }\quad -1 \le x < 1\cr 5 &\text{if }\quad 1 \le x < 2\cr x^2 &\text{if }\quad ...
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Cody # Problem 44368. Inscribed Pentagon? Solution 1316746 Submitted on 26 Oct 2017 by james cunnane 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   Pass p = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4...
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# Convert gallon (US) to liter ## What is a gallon? A gallon is a necessary measure utilized mainly in the USA, UK, and nations that have yet to embrace the metric method. Historically, the gll was presented in the UK and has been employed from the 13th century. It was split into four quarts and eight pints. Subsequ...
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This question's due date has already passed. You may post a tutorial, but there's no guarantee that the original asker will purchase the tutorial. But other people might! Question \$3.00Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. • From Mathematics: Algebra • Closed, but you can still pos...
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# Double-convex lenses are to be manufactured from a glass of refractive index 1.55, with both faces of the same radius of curvature. - Physics Numerical Double-convex lenses are to be manufactured from a glass of refractive index 1.55, with both faces of the same radius of curvature. What is the radius of curvature ...
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By accessing our 180 Days of Math for Fifth Grade Answers Key Day 64 regularly, students can get better problem-solving skills. Directions Solve each problem. Question 1. Explanation: By subtracting smaller number 29 from bigger number 48, we get the difference 48 – 29 = 19 Question 2. Calculate the product of 6 an...
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# How do you solve 3(a + 2) + 5 = 2a + 4 ? Apr 12, 2018 The solutions is $a = - 7$. #### Explanation: Use the distributive property to expand the parentheses, then isolate $a$: $3 \left(a + 2\right) + 5 = 2 a + 4$ $3 a + 6 + 5 = 2 a + 4$ $3 a + 11 = 2 a + 4$ $3 a + 11 \textcolor{b l u e}{-} \textcolor{b l u e}{...
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PreCalc posted by Anthony Find the values of a and b if f(x)=ax^3+bx^2+4 is exactly divisible by both (2x+1) and (x–1). With these values of a and b, solve the equation f(x)=0. 1. Reiny I assume you have studied the remainder theorem. Then you must know that for your conditions, f(-1/2) = (-1/8)a + (1/4)b + 4 = 0 -...
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# How do you evaluate the limit 1/x^2 as x approaches 0? Feb 6, 2017 ${\lim}_{x \to 0} \frac{1}{x} ^ 2 = + \infty$ #### Explanation: This is quite evident, since, for $x \to 0$, ${x}^{2}$ is positive and indefinitely small, so its reciprocal is positive and indefinitely large. However, it can be proved easily in t...
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# Compound Interest Worksheet Class 9 Now we have to find compound interest for re. 2 lea invests 8 333 in a savings account. Selina Concise Mathematics Class 9 Icse Solutions Compound Interest Using Formula A Plus Topp In 2020 Simple Interest Math Student Problem Solving Cool Math Tricks ### Compound interest class...
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# Unlock the Secrets to Finding the Measure of an Interior Angle ## Introduction: Understanding the Basics of Calculating an Interior Angle If you are new to calculus, then understanding the basics of calculating an interior angle can be daunting. Fortunately, there is a formula that can provide you with the informat...
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2015-01-13T22:41:40-05:00 To write an equation of a line you need to know two things: the y-intercept- that's the point the line crosses the y-axis the slope- use the equation m = (y2-y1)/(x2-x1) Then we substitute them into the equation y=mx+b In the picture you can see that your line crosses the y-axis at about 1...
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# How Is the Net Electric Field Calculated at a Point in a Square of Charges? • littlejon In summary, the problem involves three positively charged particles located at the corners of a square with a diagonally placed particle. The goal is to use Problem-Solving Strategy 26.1 to find the magnitude of the resultant ele...
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## Reflection: Staircase of Complexity Finding the Area of Odd-Shaped Dog Pens - Section 4: Student Practice In this video, Students Reflecting, two students help me reflect on the lesson. Prior to the video, the students point out the differences between Options A & B and C & D and E & F, "These two have squares ins...
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# World Codesprint 12 Hackerrank Editorial Can Someone make a good editorial on World Codesprint 12 questions of hackerrank. Especially the “factorial array” question? Thanks in Advance. FACTORIAL ARRAY The thing to notice hear is 40 factorial has 9 zeroes at the end i.e it is divisible by 10^9. Hence, any factorial...
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Sophia asked in Science & MathematicsPhysics · 1 month ago # Physics Question? An object takes 2.55 s to fall 5.35 m on a certain planet. Find the planet's mass if its radius is 5250 km. Relevance • Anonymous 1 month ago 2h = g*t^2 g = 2h/t^2 = 10.7/2.55^2 = 1.646 m/sec^2 = M*G/r^2 (G = 6.674*10^-11) M = g*r^2/G ...
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### Author Topic: Lecture 19  (Read 5906 times) #### Aida Razi • Sr. Member • Posts: 62 • Karma: 15 ##### Lecture 19 « on: November 13, 2012, 03:12:17 PM » In heat equation: We know IFT of e^ (-(ξ^2)/2) is (√2pi)e (-(x^2)/2). Then when we try to find IFT of e^ (-(ktξ^2)), we scale ξ to √(2kt)ξ and therefore x...
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## Good Math, Bad Math: Finding the Fun in Good Math Stashed in: Math! To save this post, select a stash from drop-down menu or type in a new one: Quite a rabbit hole: The argument that the cranks hate is called Cantor’s diagonalization. Cantor’s diagonalization as argument that according to the axioms of set theor...
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Area L Draw the graph of a continuous increasing function in the first quadrant and horizontal and vertical lines through two points. The areas in your sketch lead to a useful formula for finding integrals. Integral Equation Solve this integral equation. Integral Inequality An inequality involving integrals of squ...
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Answer/ Explanation. Assuming the wheel is a perfect circle, you need to know the circumference of the wheel - the measurement of the outside of the circular shape. If the wheel rotates by 60° then a fraction 60/360 (= 1/6) of the circumference moves over the ground. How many revolutions per minute must the wheel make ...
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a 1 - Principles of comparaison test for distribution of a qualitative variable : We have 2 samples a and b whose proportions of different modalities of a qualitative variable are estimators of proportions of different modalitiesfor the same qualitative variable in the 2 populations A and B from where are extracted t...
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# How to Build a Warp Engine – Warping Space With Masses (1) ## 1. Warping space with masses It all began with the Cavendish experiment. As Newton was saying two masses attract each other or as Einstein was saying a mass is warping the fabric of space-time.  Einstein predicted this effect in the GTR (General Theory o...
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Beispiel Nr: 08 $\text{Gegeben:}\\\text{Höhe} \qquad h \qquad [m] \\ \text{Fläche} \qquad A \qquad [m^{2}] \\ \\ \text{Gesucht:} \\\text{Grundlinie} \qquad g \qquad [m] \\ \\ g = \frac{A\cdot 2}{ h}\\ \textbf{Gegeben:} \\ h=0,002m \qquad A=\frac{2}{5}m^{2} \qquad \\ \\ \textbf{Rechnung:} \\ g = \frac{A\cdot 2}{ h} \\ h...
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# Proof by Induction ### Proof by Induction ###### Proof by Induction $$1 + 2 + 3 + ... + n = \dfrac{1}{2} n(n + 1)$$ STEP 1 For n = 1: \begin{equation*} \begin{split} 1 & = \tfrac{1}{2} (1)(1 + 1) \\\\ 1 & = 1 \\\\ \text{LHS} & = \text{RHS} \end{split} \end{equation*} The statement is true for n = 1 STEP 2 As...
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# How do you find the roots, real and imaginary, of y= 2x^2 - 7x + 2 using the quadratic formula? Aug 29, 2017 See a solution process below: #### Explanation: For $\textcolor{red}{a} {x}^{2} + \textcolor{b l u e}{b} x + \textcolor{g r e e n}{c} = 0$, the values of $x$ which are the solutions to the equation are gi...
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