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# Class 11 Mathematics Chapter 9: Sequence and Series - NCERT Solutions This page focuses on the complete NCERT solutions for Class 11 Mathematics Chapter 9: Sequence and Series. This section provides detailed, easy-to-understand solutions for all the questions from this chapter. These Sequence and Series question ans...
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# Percentages and GST SubjectMathematics YearYear 8 CurriculumAC v8.4 Time170 ## Introduction This set of resources provides opportunities for students to solve problems involving percentages, rates and proportions using technology (spreadsheets) in the context of the goods and services tax GST). Australian Curricu...
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# 17.7: Cartels and Deadweight Loss $$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\...
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# .What is x if the sequence 1,5, 2x+3 ....is an arithmetic sequence? Jul 20, 2016 $x = 3$ #### Explanation: If the sequence is arithmeic, then there is common difference between the consecutive terms. $d = {T}_{3} - {T}_{2} = {T}_{2} - {T}_{1}$ $\left(2 x + 3\right) - 5 = 5 - 1 \text{ we have an equation - solve...
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# Quick Answer: Is Vertical Or Horizontal? ## Is lateral vertical or horizontal? Lateral. Standing, pointing, or moving straight up or down; along the direction of a plumb line; perpendicular to something horizontal.. ## What is horizontal picture? Horizontal photographs are photographs that are wider than they ar...
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# Search by Topic #### Resources tagged with Factors and multiples similar to A-magical Number Maze: Filter by: Content type: Stage: Challenge level: ### There are 143 results Broad Topics > Numbers and the Number System > Factors and multiples ### Mystery Matrix ##### Stage: 2 Challenge Level: Can you fill in t...
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It is currently 18 Mar 2018, 23:38 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email. Customized for You we will pick new questions that match your level based o...
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# Đề thi thử THPT quốc gia môn Toán năm 2018 trường THPT Sào Nam - Quảng Nam (Lần 3) 3 84 Trang 1/5 - 101 -   TRƯỜNG THPT SÀO NAM    (Đ thi có 05 trang) K THI KHẢO SÁT CHẤT LƯỢNG HỌC SINH LỚP 12 M HỌC 2017-2018 Bài thi: TN-LN 3 Thời gianm bài: 90 phút, không k thời gian phát đ Mã đ 101 Câu 1:...
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7. Solution: $\begin{cases}5x +2y =1 \\ -3x +3y = 5\end{cases}$ Yes. Their sum is 13. 6. No. Level up on the above skills and collect up to 500 Mastery points Start quiz. Problem 3. These linear equations worksheets cover graphing equations on the coordinate plane from either y-intercept form or point slope form, as we...
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Representing rational numbers on number line Chapter 1 Class 8 Rational Numbers Serial order wise ### Transcript 10 rational number between 3/5&3/4 Step 1: Make denominator same 3/5 4/4= 12/20 3/4 5/5= 15/20 Step 2: Since we need to find 10 rational number, multiply and divided by 11. 12/20 11/11= 132/220 15/20 11/1...
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# Bitwise Operators & Number Systems ## Number Systems Number systems used in daily life and programming are often referred to by their ‘base’. The ‘base’ of a number system indicates the number of digits used in that system. For example, humans use “Base 10”, and our available 10 digits are 0, 1, 2, 3, 4, 5, 6, 7, ...
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GRE® Quantitative Comparison Q2 Algebra | GRE Sample Questions | Quadratic Equations This GRE quant sample question is a Quantitative Comparison question in Algebra. Concept tested: Comparison of quadratic equations. Question 2 : $$frac{x}{y}$ < 0 Quantity A Quantity B$4x + 3y)(x – 6y) 4x2 + 16xy – 18y2 1. Quantity...
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# Specific Heat page 2 ```Name: ________________________ Period:______ Date:________________ Unit 1: Energy Specific Heat Ditto Background: Specific Heat, is the measure of the heat energy required to increase the temperature of a unit quantity of a substance by a unit of temperature. For example, the heat energy requ...
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1. ## Limits Determine the following limits if they exists. If the limit exists, establish the convergence. $(a) \lim _{n\rightarrow\infty} (\sqrt{(n+a)(n+b)} - n$ where $a,b$ $> 0.$ $(b) \lim _{n\rightarrow\infty} (n!)^{\frac{1}{n^2}}$ 2. Originally Posted by yusukered07 Determine the following limits if they exis...
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Thursday December 8, 2016 # Posts by Jai Total # Posts: 1,998 Calculus limit of (sin^2 (x))/(x^2 - 1) as x -> infinity Note that the range of values of sin x is from -1 to 1, for all real values of x. Thus the range of sin^2 (x) is only from 0 to 1 (as any real number squared results to greater than or equal to zero...
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+0 # check my work? 0 496 4 +687 For each situation, you need to determine if the object has KE or GPE or both. Then find their values A 20-kg child is tossed up into the air by her parent. The child is 2 meters off the ground traveling 5 m/s. Circle one: KE / GPE / both Show your work for finding the values of e...
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It is currently 23 Aug 2019, 14:29 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email. Customized for You we will pick new questions that match your level based o...
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Want to read Slashdot from your mobile device? Point it at m.slashdot.org and keep reading! typodupeerror ## Comment Re:Sigh (Score 1)206 I agree that ultimately what is the oldest living thing comes down to a question of semantics. A distinction that's often made is clonal versus non-clonal organisms. I've seen Met...
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Sean Carroll writes that in GR “spacetime can give energy to matter, or absorb it from matter, so that the total energy simply isn’t conserved”. He hopefully means “space” not “space-time”, because space-time includes time and has no further time to do anything, let alone absorb stuff. Let us nevertheless do a sympath...
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# Illustrative Mathematics Unit 6.6, Lesson 15: Equivalent Exponential Expressions Learning Targets: • I can find solutions to equations with exponents in a list of numbers. • I can replace a variable with a number in an expression with exponents and operations and use the correct order to evaluate the expression. R...
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Connected components of a metric subspace 1. Oct 29, 2013 mahler1 The problem statement, all variables and given/known data. Consider the subspace $U$ of the metric space $(C[0,1],d_∞)$ defined as $U=\{f \in C[0,1] : f(x)≠0 \forall x \in [0,1] \}$. Prove that $U$ is open and find its connected components. The attem...
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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. Statistics and probability Course: Statistics and probability>Unit 7 Lesson 2: Probability using ...
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# GRADE 3 • MODULE 2 - Mrs. Kim's 3rd Grade · PDF file3 GRADE Mathematics Curriculum GRADE 3 • MODULE 2 Module 2: Place Value and Problem Solving with Units of Measure i Table of Sep 07, 2019 ## Documents others • GRADE 3 • MODULE 2 Place Value and Problem Solving with Units of Measure Video tutorials: http://bit...
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# How to Do Decimals Video size: Message preview: Someone you know has shared How to Do Decimals video with you: To play this video, click on the link below: https://www.turtlediary.com/video/what-is-decimal.html?app=1?topicname=b.html?topicname=beginner?topicname=beginner Hope you have a good experience with this ...
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# How to Use the Excel PMT Function – 4 Examples ## Introduction to the Excel PMT Function • Summary The PMT function calculates the payment for a loan based on a constant interest rate. For instance, you have a 10- year home loan of \$110,000 with an interest rate of 3%. Using the PMT function, you can calculate th...
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# Can we have a one-one function from [0,1] to the set of irrational numbers? Since both of them are uncountable sets, we should be able to construct such a map. Am I correct? If so, then what is the map? • The answer is yes, such a map exists, but I personally don't know if you can actually construct it. – jgon May...
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• Join over 1.2 million students every month • Accelerate your learning by 29% • Unlimited access from just £6.99 per month Page 1. 1 1 2. 2 2 3. 3 3 4. 4 4 5. 5 5 6. 6 6 7. 7 7 8. 8 8 9. 9 9 10. 10 10 11. 11 11 12. 12 12 13. 13 13 • Level: GCSE • Subject: Maths • Word count: 2930 # Number Grid Investigation Extracts...
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# Converting a number to 16-bit Floating Point Format I want to convert the number -29.375 to IEEE 745 16-bit floating point format. Here is my solution: The format of the floating point number is: 1 sign bit unbiased exponent in 4 bits plus a sign bit 10 bits for the mantissa plus the explicit 1 First, I realize th...
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Hard # 159. Solve the Knight's Tour with Backtracking Objective: A knight's tour is a sequence of moves of a knight on a chessboard such that the knight visits every square only once. If the knight ends on a square that is one knight's move from the beginning square (so that it could tour the board again immediately,...
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#### explain solution RD Sharma class 12 Chapter 18 Indefinite Integrals exercise 18.30 question 4 $-x+2 \log |x-1|+3 \log |x+2|+C$ Hint: To solve the given integration, we use partial fraction method Given: $\int \frac{3+4 x-x^{2}}{(x+2)(x-1)} d x$ Explanation: Let $I=\int \frac{3+4 x-x^{2}}{(x+2)(x-1)} d x$ ...
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# Factoring Trinomials Puzzle Pdf ## Factoring Polynomials Puzzle Factoring Polynomials Worksheet Puzzle via. Rather than only factoring or only multiplying, the puzzles give students the opportunity to employ both operations. Big Idea This lesson will help students to see that multiplying and factoring trinomials ar...
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# Intuitive explanation for the general determinant formula? 1. Dec 18, 2012 ### jjepsuomi Hello Could anyone give an intuitive explanation of the determinant? I know mostly what the determinant means and I can calculate it etc. But I have never got any real-world intuitive explanation of the general formula of the...
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# Advanced integration, how to integrate 1/polynomial ? Thanks I have been trying to integrate a function with a polynomial as the denominator. i.e, how would I go about intergrating $$\frac{1}{ax^2+bx+c}.$$ Any help at all with this would be much appreciated, thanks a lot :) ps The polynomial has NO real roots $$...
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# Why do we need conservation of energy for a rod accelerating due to magnetic force? Callumnc1 Homework Statement: Relevant Equations: For this problem, Is the length vector into or out of the page and how do you tell? EDIT: Why must we use conservation of energy for this problem? I tried solving it like this: ##Id...
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# Mathematics / Year 3 / Number and Algebra / Number and place value Curriculum content descriptions Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies (ACMNA057) Elaborations • writing simple word problems in numerical form and vi...
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# How do you add 20,000+3,400,000 and write the answer in scientific notation? The answer is $3.42 \times {10}^{6}$. $20000 + 3400000 = 3420000$ To convert 3420000 to scientific notation, move the decimal to the left six places, so that the coefficient has one non-zero digit in front of the decimal, which is 3.42. The...
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# Difference between revisions of "Fuzzy Logic" Fuzzy Logic is a term that is used in tow different senses, a narrow sense and a broad sense. The Narrow sense is a logical system that generalizes classic binary, true and false or zero and one, logic into uncertainty. The broad sense of the term is all the technologies...
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# Why is every mortgage amortization calculator wrong? • I have a 15 year mortgage through CitiMortgage at 5.625% interest with a starting balance of \$200,000.  I recently noticed that the principal balance CitiMortgage says I still owe is higher than the amount Microsoft Money says.  When my mortgage payments get re...
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Question: # How many minutes before 12 noon if 44 minutes ago it was 3 times as many minutes past 9am? by Guest3426  |  11 years, 10 month(s) ago 0 LIKES UnLike How many minutes before 12 noon if 44 minutes ago it was 3 times as many minutes past 9am? Please solve it. Thanks! Tags: 12, 44, 9am, ago, MINUTES, noon,...
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### Communities tag:snake search within a tag user:xxxx search by author id score:0.5 posts with 0.5+ score "snake oil" exact phrase created:<1w created < 1 week ago post_type:xxxx type of post Q&A # How can "information about the birth season" bring "at least one is a girl" closer to "a specific one is a girl"? +1 ...
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BlogPhysicsThe Ultimate Guide to QCAA Physics Unit 3: Gravity and Electromagnetism # The Ultimate Guide to QCAA Physics Unit 3: Gravity and Electromagnetism Beginning to study Unit 3 in QCAA Physics but aren’t too sure about what kind of content you’ll be covering? We’ve got you! We want to make studying for this un...
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Search Library Watch fullscreen 2 years ago # Unit 2 Ex. 2.3 Question no. 1 Class 8 Math PTB (Square root by Prime Factorization Method) Learning Zone. Learning Zone This video comprises the question no. 1 (complete) (Square root by prime factorization method) of exercises 2.3 of unit 2 of class 8th Math in detail ac...
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# How Are Force and Mass Related? Force and mass are related by their opposite influence on acceleration: Force increases acceleration, whereas mass causes acceleration to decrease. Mass is a measure of resistance to acceleration and force is an interaction that causes acceleration, according to The Physics Hypertextb...
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# Thread: Finding equation of tangent lines: 1. ## Finding equation of tangent lines: Hello, So I am having problems with trying to find the equations of tangent lines when the point the lines pass through is not on the original function. ex: f(x)=x^2 find equations of tangent lines through the point (1,-4) 2. ## R...
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# How to Calculate the Cost of Running an Appliance Save It seems that electricity costs are ever on the rise. This is made worse when electricity is wasted. There are many ways to save money on your electric bills. Some are more significant than others.The following will show you how to calculate the cost of running...
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# PreCalc posted by . Find the line of the equation that hits y=4x^2-20 when x= -5 that is perpendicular to 5x-6=3y My solution does not graphical show perpendicular lines, but algebraically it works lol Help! • PreCalc - when x=-5 y = 4(-5)^2 - 20 = 80 so you have the point (-5,80) the slope of 5x-6 = 3y is 5/3...
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# How to avoid mixing up ratios when comparing two values? In the following question for example: $1$ Neptune day = $18$ hours. $1$ Earth day = $24$ hours. How many Neptune days = $10$ Earth days? My intial reaction was to do the following: $$\frac{18..Hours (on.Neptune)} {24..Hours (on.Earth)}=\frac{x..Neptune.Da...
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1. ## The Ferris Wheel In 1893, George Ferris engineered the Ferris Wheel. It was 250 feet in diameter. If the wheel makes 1 revolution every 40 seconds, then h(t) = 125sin[0.157t - (pi/2)] + 125 represents the height h, in feet, of a seat on the wheel as a function of time t, where t is measured in seconds. The ride ...
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1. Oct 12, 2009 ### songoku 1. The problem statement, all variables and given/known data Three units vectors a, b, and c have property that the angle between any two is a fixed angle $$\theta$$ (i) find in terms of $$\theta$$ the length of the vector v = a + b + c (ii) find the largest possible value of $$\theta$$ (...
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Normal Forms for First-Order Logic Example Formula We will look at the language where • is relation symbol of arity one • is relation symbol of arity two • is a constant • is a function symbol of two arguments Consider this formula in : We are interested in checking the validity of this formula (is it true in all ...
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Doubling Ingredients A B ingredient: 1/8 cup doubled: 1/4 cup ingredient: 1 teaspoons doubled: 2 teaspoons ingredient: 1/2 tablespoons doubled: 1 tablespoon ingredient: 2/3 cup doubled: 4/3 cup Likewise, How do I measure 3/8 cup? 3/8 cup = 1/4 cup + 2 tablespoons. 1/2 cup = 8 tablespoons OR 4 fluid ounces. 2/3 cup ...
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# If the sum of a positive number and two negative numbers is -12 what are the numbers? Aug 24, 2017 One possible solution would be $\left\{- 6 , - 7 , + 1\right\}$ #### Explanation: There are infinitely many possible solutions. Pick any two negative numbers whose sum is less than $\left(- 12\right)$. [That is the...
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## PERT and CPM get Cozy Project Estimation and PERT (Part 7): If you have been following the series on PERT, then you have developed a good understanding of probability and statistical concepts as applied to projects. In this post, we are going to see how Program Evaluation and Review Technique (PERT) and Critical Pa...
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### Kyiv Math Festival 2005-19 VIII-X (Ukraine) 26p geometry  problems from Kyiv mathematical festival with aops links in the names 2005 - 2019 2005 Kyiv mathematical festival grade VIII P4 Let $M$ be the intersection point of medians of a triangle $\triangle ABC.$ It is known that $AC = 2BC$ and $\angle ACM = \angl...
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Question # Determine whether or not the following relations have the properties of the relations. Be sure to... Determine whether or not the following relations have the properties of the relations. Be sure to justify your answers. a) R = {(x, y)| y is a biological parent of x} on the set of all people b) R = {(x, ...
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# Chess Tournament for Six talzamir Posers and Puzzles 26 Sep '11 09:33 1. talzamir Art, not a Toil 26 Sep '11 09:33 Six players decide to play a simple tournament, everyone facing everybody else once, sides chosen randomly. This makes a total of 15 games. Show that no matter how the games end, there is always at lea...
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Trigonometry (11th Edition) Clone The corresponding values of $\theta$ are $$\{60^\circ,210^\circ,240^\circ,310^\circ\}$$ 1) The question asks for solutions over the interval $[0^\circ, 360^\circ)$, meaning that $$\theta\in[0^\circ,360^\circ)$$ or $$0^\circ\le\theta\lt360^\circ$$ 2) Now from also the question, your wo...
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# Positive and Negative Acceleration Scenarios #### Back to Positive and Negative Acceleration We've learned that it's not the acceleration sign that tells us whether an object has undergone positive or negative acceleration; instead we need to compare it to the objects' initial velocity [sign]. This is sometimes a ...
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### Home > APCALC > Chapter 1 > Lesson 1.2.2 > Problem1-43 1-43. Copy the graph at right. Then complete it so it will have each type of symmetry described below. 1. Reflection symmetry across the $y$-axis. 2. Reflection symmetry across the $x$-axis. 3. Point symmetry about the origin. (This means a $180^\circ$ rot...
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12th NCERT INTEGRALS Application of integrals Miscellaneous Exercise Do or do not There is no try ## Miscellaneous Questions Question (1) Find the (i) y = x2, x = 1, x = 2 and x-axis Solution y=x2 is equation of parabola along y-axis and vector A(0, 0) x=1 and x=2 are two vertical line passing through F(1,0) and E...
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In the triangle below (see attached), is x > 90? (1) a2 + : DS Archive Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack It is currently 20 Jan 2017, 00:34 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your performan...
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# Pre-Calculus Forum Pre-Calculus Help Forum: Pre-calculus does not involve calculus, but explores topics that will be applied in calculus 1. ### This forum is for PRE-Calculus. READ BEFORE POSTING • Replies: 25 • Views: 11,272 Oct 1st 2011, 06:08 AM 2. ### Read this before posting in this subforum. • Replies: 0 • ...
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Syllabus for Linear Algebra II Linjär algebra II A revised version of the syllabus is available. Syllabus • 5 credits • Course code: 1MA024 • Education cycle: First cycle • Main field(s) of study and in-depth level: Mathematics G1F • Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5...
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Explore BrainMass # Determining Sample Correlation Coefficients Not what you're looking for? Search our solutions OR ask your own Custom question. This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here! 1. The following statistics were calculated from pairs of ob...
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# 105 Meter/Hour Squared in Inch/Hour Squared Acceleration Meter/Hour Squared Inch/Hour Squared 105 Meter/Hour Squared = 4133.86 Inch/Hour Squared ## How many Inch/Hour Squared are in 105 Meter/Hour Squared? The answer is 105 Meter/Hour Squared is equal to 4133.86 Inch/Hour Squared and that means we can also write i...
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You are on page 1of 10 # HS Mathematics Item Specification C1 TB ## Claim 1: Concepts and Procedures Students can explain and apply mathematical concepts and interpret and carry out mathematical procedures with precision and fluency. Content Domain: Number and Quantity Target B [m]: Use properties of rational and ir...
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# If Newton's third law is true, why do things compress? Imagine you are in a crowd of people. A huge crowd, with everyone, almost squeezed together. Imagine you run into the crowd. In that case, you will have an almost rigid body, because, you apply a force on him, he applies a force back on you, you stop, but he wil...
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Topics: Mix, Baking, Kneading Pages: 2 (534 words) Published: June 19, 2013 1) How long will it take you to fill a rush order? If we consider that one order is a dozen, the flow time is 26 minutes for the first order. 2) How many orders can you fill in a night, assuming you are open four hours each night? (4 hours = ...
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# In a triangle of base a the ratio of the other two sides is r (2 Jitender Pal 9 years ago Hello Student, Given that, In ∆ABC, base = a And c/b = r To find altitude, h. We have, in ∆ABD, h = c sin B = c a sin B/a = c k sin A sin B/k sin A = c k sin A sin B/sin (B + C) = c sin A sin B sin (B – C)/sin (B + C) sin (B – ...
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## SBI Clerk 2014 Question Paper and Answers ### SBI Clerk 2014 Question Paper and Answers: Sectionwise Questions #### QUANTITATIVE APTITUDE 1. A Vessel contains 60 litres of milk, 6 litres of milk is taken out and 6 litres of water is added to the vessel. Again 6 litres of milk from the vessel is withdrawn and 6 li...
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Category:Definitions/Cross-Ratios This category contains definitions related to Cross-Ratios. Related results can be found in Category:Cross-Ratios. Points on a Line Let $A$, $B$, $C$ and $D$ be points on a straight line. The cross-ratio of $A$, $B$, $C$ and $D$, in that specific order, is defined as: $\dfrac {AC ...
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Kellogg: Calling all applicants - Class of 2016 : Kellogg - Page 83 Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack It is currently 16 Jan 2017, 03:02 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your performance ...
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## Section6.8Differentials: Summary We summarize here both the basic differentiation formulas from Section 6.5 and the fundamental rules from Section 6.6, in differential form. We have: \begin{align*} d\left(u^n\right) \amp = nu^{n-1} \,du ,\\ d\left(e^u\right) \amp = e^u \,du ,\\ d(\sin u) \amp = \cos u \,du ,\\ d(\...
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# Simplifying $\arctan\left(\frac{\sin(\phi)+\sqrt{\frac{1}{3}}\cos(\phi)}{\cos(\phi)-\sqrt{\frac{1}{3}}\sin(\phi)}\right)$ [closed] I'm trying to simplify the following expression involving trigonometric functions: $$\arctan\left(\frac{\sin(\phi)+\sqrt{\frac{1}{3}}\cos(\phi)}{\cos(\phi)-\sqrt{\frac{1}{3}}\sin(\phi)}...
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• Share ### Your suggestion is on its way! An email with a link to: was emailed to: Thanks for sharing About.com with others! ##### Most Emailed Articles &quot;Big Five&quot; Personality Quiz Geometry Course Some Basics and Important Postulates- Part 3 Free Geometry Basics Course •Part 1  Terms in Geometry •Par...
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Watch Announcements #1 Ragnar's Trout Sanctuary is trying to find out how many trout there are in a lake. They catch a sample of 87 trout and tag them. They then release these trout. The next day they catch another sample of 70 trout and find 14 of these trout had been tagged the previous day.Estimate the total number ...
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Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st. It is currently 17 Jul 2019, 09:43 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have sub...
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# 1.4.1 Calculate theoretical yields from chemical equations. ## Presentation on theme: "1.4.1 Calculate theoretical yields from chemical equations."— Presentation transcript: 1.4.1 Calculate theoretical yields from chemical equations. IB Topic 1: Quantitative Chemistry 1.4: Mass Relationships in Chemical Reactions 1...
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Introduction to Automata Theory, Languages, and Computation ## Solutions for Chapter 4 Solutions for Section 4.1 ## Solutions for Section 4.1 ### Exercise 4.1.1(c) Let n be the pumping-lemma constant (note this n is unrelated to the n that is a local variable in the definition of the language L). Pick w = 0n10n. T...
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1. ## Bisection method The function f(x) = sin(pi*x) has zero at every integer. If -1 < a < 0 and 2 < b < 3, show that it converges to 0 if a + b < 2. So p1 = (a1 + b1) / 2 for those restrictions which is (-1 + 2) / 2 = 1/2 and (-1 + 3) / 2 = 1 and 1/2 < p1 < 1. 1 > f(p1) > 0 so a2 = a1 = a and b2 = p1. I found out...
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# 951 US quarts in liters ## Conversion 951 US quarts is equivalent to 899.981651646 liters.[1] ## Conversion formula How to convert 951 US quarts to liters? We know (by definition) that: $1\mathrm{usquart}\approx 0.946352946\mathrm{liter}$ We can set up a proportion to solve for the number of liters. $1 ⁢ usquar...
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Adding and Subtracting Signed Fractions Fluency Practice 11 teachers like this lesson Print Lesson Objective Students will be able to add and subtract signed fractions. Big Idea Practice makes perfect! This lesson gives students one on one attention as well as much needed practice time. Launch 10 minutes Opener...
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# Fraction Decimal And Percent Chart ### fraction, decimal, percent chart - thorough - Indulgy Convert a fraction to a percent value using our calculator below. Calculator to change percents into fractions showing the work.This worksheet will provide practice in converting fractions and decimals. chart. Fraction Dec...
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# How to count the number of strings of length 5 in which at least one symbol occurs two or more times. Suppose that A is a set of 8 (distinct) symbols and consider strings (i.e. sequences) over A. How can I calculate the number of strings of length 5 which at least one symbol occurs two or more times. I started by c...
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# Three cubes of equal volume are joined end to end. Find the surface area of the resulting cuboid if the diagonal of the cube is 6√3 cm. This question was previously asked in SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 4) View all SSC CGL Papers > 1. 509 cm2 2. 504 cm2 3. 516 cm2 4. 512 cm2 Optio...
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{[ promptMessage ]} Bookmark it {[ promptMessage ]} Notes-1st order ODE pt2 # Notes-1st order ODE pt2 - Autonomous Equations Stability of... This preview shows pages 1–5. Sign up to view the full content. Autonomous Equations / Stability of Equilibrium Solutions First order autonomous equations, Equilibrium solut...
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# Is the sum of two distinct primes an injective function on integers? Is the sum of two unique primes always unique? I.e is it an injective function on integers? For example, $89 + 2 = 91$ and there's no other sum of two different primes that's equal to $91$. It's been a long time since I did a proper proof but I ch...
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# Simplify – Definition with Examples Home » Math Vocabulary » Simplify – Definition with Examples Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving. We can — • simpl...
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5.1: Introduction [ "article:topic" ] This chapter presents a discussion on the control volume and will be focused on the conservation of the mass. When the fluid system moves or changes, one wants to find or predict the velocities in the system. The main target of such analysis is to find the value of certain variab...
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# Finding $\lim_{x \to 0^{+}} x^{\frac{1}{x}}$ by L'Hôpital's Rule. I am a 76 years old retiree who loves to read math textbooks. Yeah, crazy, right? The current textbook I am using is Larson's Calculus, 12e. Section 5.6, exercise 50 is stumping me: $$\lim_{x \to 0^{+}} x^{\frac{1}{x}}$$ The thrust of this section is ...
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# Solve for ? two sin(x) to the power of two minus three sin(x) plus one equals zero Solve for ? 2sin(x)^2-3sin(x)+1=0 The left part of the equation should be factored. Let . Substitute for all occurrences of . Apply the grouping factorization. For a polynomial of the form , Should be rewritten the middle term as a su...
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## Homework 9.5 [ENDORSED] $\Delta S = \frac{q_{rev}}{T}$ Sabah Islam 1G Posts: 50 Joined: Sat Jul 22, 2017 3:01 am ### Homework 9.5 For question 9.5, why are we supposed to use the equation delta S=-q/T for the entropy at 800 K and the equation delta S=q/T for the entropy at 200 K? Why is there a negative in one e...
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Home Practice For learners and parents For teachers and schools Textbooks Full catalogue Pricing Support We think you are located in United States. Is this correct? # Building 3D models ## 25.6 Building 3D models ### Nets of cubes In Chapter 17 on surface area and volume, you learned about the nets of 3D shapes. A...
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# Expression Parsing in Data Structure An expression is a statement that generates a value on evaluation. Parsing means analyzing a string or a set of symbols one by one depending on a particular criterion. Expression parsing a term used in a programming language to evaluate arithmetic and logical expressions. Whenev...
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4F.17 $\Delta S = \frac{q_{rev}}{T}$ Mallika Singh 1G Posts: 99 Joined: Sat Aug 24, 2019 12:16 am 4F.17 Could someone please post their scratchwork for this problem? I keep getting 2J/K for the entropy change. 4F.17 Calculate the standard entropy of vaporization of water at 85 C, given that its standard entropy of...
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# Sum of Squares of Divisors of 24 and 26 are Equal ## Theorem The sum of the squares of the divisors of $24$ equals the sum of the squares of the divisors of $26$: $\map {\sigma_2} {24} = \map {\sigma_2} {26}$ where $\sigma_\alpha$ denotes the divisor function. ## Proof The divisors of $24$ are: $1, 2, 3, 4, 6,...
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# Thread: True or false linear transformation 1. ## True or false linear transformation Are the following true or false? If it is true, prove it, if it is false give a counter example (and proof that your counter example is true). 1) If T is a linear transformation such that T: $\displaystyle R^2$ -> $\displaystyle ...
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# What is the simplest proof that the density of primes goes to zero? By density of primes, I mean the proportion of integers between $$1$$ and $$x$$ which are prime. The prime number theorem says that this is asymptotically $$1/\log(x)$$. I want something much weaker, namely that the proportion just goes to zero, at...
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# Too many data points in set. Looking for ways to prune I am gathering data from a website. I estimate to get 10.000 datapoints (time - value) multiplied by seven - over time. That is way to much. Both for storing and plotting it in a real time alike graph (through jQuery flot). I'm looking for a text dealing with th...
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Can I compare real and complex eigenvalues? I'm calculating the eigenvalues of the matrix $\begin{pmatrix} 2 &0 &0& 1\\ 0 &1& 0& 1\\ 0 &0& 3& 1\\ -1 &0 &0 &1\end{pmatrix}$, which are $1$,$3$, $\frac{3}{2}+\sqrt{3}i$ and $\frac{3}{2}-\sqrt{3}i$. I wish to recognize the biggest and smallest of these. But how can I com...
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