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# Thread: Sequence and limit 1. ## Sequence and limit Calculate limit of every sequence definite in N* by : First sequence : Second sequence : 2. $\displaystyle lim_{n\rightarrow \infty}\left(1+\frac{1}{n}\right)^{n}=\left(1+\fra c{1}{\infty}\right)^{\infty}$ you know that $\displaystyle \frac{1}{\infty}=0$ so th...
HuggingFaceTB/finemath
Imaginary Unit Get Imaginary Unit essential facts below. View Videos or join the Imaginary Unit discussion. Add Imaginary Unit to your PopFlock.com topic list for future reference or share this resource on social media. Imaginary Unit i in the complex or Cartesian plane. Real numbers lie on the horizontal axis, and ima...
HuggingFaceTB/finemath
## Precalculus (6th Edition) Blitzer a) The average rate of change in the area is $8.1\pi \text{ square inches}$ per inch as radius changes from $4$ to $4.1\text{ inches}$ and $8.01\pi \text{ square inches}$ per inch as radius changes from $4$ to $4.01\text{ inches}$. b) The instantaneous rate of change of the area wi...
HuggingFaceTB/finemath
# Identification of an Isosceles Triangle - Examples, Exercises and Solutions When we have atriangle, we can identify that it is an isosceles if at least one of the following conditions is met: 1) If the triangle has two equal angles - The triangle is isosceles. 2) If in the triangle the height also bisects the angle...
HuggingFaceTB/finemath
# Estimating probabilities by simulation¶ I will teach a very powerful method for estimating probabilities that is typically reserved for much later in probability courses. It is true that proving why it works requires advanced mathematics. But developing intuition about the method is trival. Also implementing it just...
HuggingFaceTB/finemath
You are on page 1of 2 # What does the F crit mean? F crit mean the Critical value of the ANOVA test procedure. Here, F crit = 4.256492 What numbers represent the SST, SSE and SS Total? SST is the variation due to treatments (Between Groups Sum of squares). Here, SST = 10.5. SSE is the variation within the treatments ...
HuggingFaceTB/finemath
# R squared This quantity is often misunderstood and/or misrepresented. Let’s assume we have some random variable $y$ with mean $\bar{y}$ and some estimator for it $\hat{y}$. The commonly accepted fundamental definition of $R^2$ is: $R^2=1 - \frac{\sum(\hat{y_i} - y_i)^2}{\sum(\bar{y_i} - y_i)^2} = 1 - \frac{SSE}{SST...
HuggingFaceTB/finemath
# What is the molarity of a solution that contains 0.50 mole of NaOH in 0.50 liter of solution? Jun 4, 2016 $M = \frac{0.50 m o l}{0.50 L}$ $M = 1.0 M$ #### Explanation: Molarity is determined by the equation $M o l a r i t y$ $= \frac{m o l}{L}$ M = ? $m o l = 0.50 N a O H$ $L = 0.50 L$ $M = \frac{0.50 m o l}{0...
HuggingFaceTB/finemath
# Position in One Dimension In order to begin our study of motion, we must first consider the tools that we will be using to describe the objects that we are studying. ### Describing Objects on an Axes To more easily describe the motion of objects that we are studying, we simplfiy the object by imagining that the ob...
HuggingFaceTB/finemath
# A+ Answers – collegepaperslab.com | Instant Assignment Help A+ Answers – collegepaperslab.com | Instant Assignment Help Economics  – Business Finance The amount of Jen’s monthly electric bill is normally distributed with a mean of \$160 and a standard deviation of \$14. Fill in the blanks. 95% of her electric bill...
HuggingFaceTB/finemath
Radians are an alternate unit to measure angles. Where there are 360 degrees in a full circle, there are $$2\pi$$ radians. The unit for radians is "rad" or a superscript "c" for "circular measure". The latter of these can however easily get confused with the symbol for degrees. ## How big is a radian? When the arc le...
HuggingFaceTB/finemath
# 6. Ground Reflection Interference in Aircraft Sound Introduction Some time ago, I put out a request for help in understanding a shallow bowl-shaped feature in the spectrogram of the sound of aircraft flying overhead. My older son had already suggested that it was a multi-path interference pattern and his suggestion...
HuggingFaceTB/finemath
mersenneforum.org > Math probability of finding a Mersenne prime Register FAQ Search Today's Posts Mark Forums Read 2003-12-04, 02:02 #1 optim   Nov 2003 European Union 6816 Posts probability of finding a Mersenne prime The Status command of the Prime95 client outputs: "The chance that the exponent you are testing wi...
HuggingFaceTB/finemath
Cody # Problem 43219. Modified run-length companion vector Solution 1012027 Submitted on 12 Oct 2016 by Mona Villarba 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 x = [5 3 3 1 0 9 9 4 4 4 4 5 1 ...
HuggingFaceTB/finemath
There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Estimating. In the right column below are links to related online activities, videos and teacher resources. A lesson starter does not have to be on the same topic as the main part of t...
HuggingFaceTB/finemath
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't. It’s a lovely day. I took a walk around the campus after lunch. The scene was enjoyable in one deep autumn day. Before the afternoon work, I’d like to spend a few moments on the 24th Euler Problem. A permutation is an order...
HuggingFaceTB/finemath
# Quick Sorting – A complete analysis with c/c++ and JAVA Quick Sorting is a Divide and Conquer sorting method. Before going ahead, let’s take an example to understand the divide and conquer method. ###### Quick Sorting with a real life example There are 10 balls, all with different weight. Arrange them in ascending...
HuggingFaceTB/finemath
The proof on Ma Yi’s book is not so clear. Here I want to give my proof. Property: The homography matrix is $H=R+\frac{1}{d}TN^T$. Its singular values are $\sigma_1\le \sigma_2 \le \sigma_3$. Then $\sigma_2=1$. Proof: For the sake of simplicity, just use $H=R+TN^T$. The original problem is equivalent to prove the sec...
open-web-math/open-web-math
Solutions by everydaycalculation.com ## Divide 9/25 with 5/40 9/25 ÷ 5/40 is 72/25. #### Steps for dividing fractions 1. Find the reciprocal of the divisor Reciprocal of 5/40: 40/5 2. Now, multiply it with the dividend So, 9/25 ÷ 5/40 = 9/25 × 40/5 3. = 9 × 40/25 × 5 = 360/125 4. After reducing the fraction, the an...
HuggingFaceTB/finemath
# Accumulated Depreciation – Meaning & How it Works & Calculation ## What is Accumulated Depreciation Accumulated depreciation is the total amount a company depreciates its assets, while depreciation expense is the amount a company's assets are depreciated for a single period. Essentially, accumulated depreciation is...
HuggingFaceTB/finemath
# How do you write 0.0066 in scientific notation? ##### 1 Answer Jan 16, 2017 $0.0066 = 6.6 \times {10}^{-} 3$ #### Explanation: The decimal point needs to be moved 3 places to the right so the 10s term will have a negative exponent: $0.0066 = 6.6 \times {10}^{-} 3$
HuggingFaceTB/finemath
Share Books Shortlist # Solution for A Cylindrical Vessel of Diameter 14cm and Height 42cm is Fixed Symmetrically Inside a Similar Vessel of Diameter 16cm and Height 42 . Cm the Total Space Between Two Vessels is Filled with Cork Dust for Heat Insulation Purpose. How Many Cubic Cms of Cork Dust Will Be Required? - CB...
HuggingFaceTB/finemath
1. Hey Everyone, I'm having trouble setting up this word problem. I know that area of a circle is pir2 and area of a triangle is 1/2bh but for some reason I cant find a way to combine these equation together. What are the radius and area of the circle of maximum area that can be inscribed in an isosceles triangle who...
HuggingFaceTB/finemath
Courses Courses for Kids Free study material Offline Centres More Store # What is the molar mass of${C_6}{H_6}$?A) $77g/mol$B) $12g/mol$C) $76g/mol$D) $78g/mol$ Last updated date: 23rd Jul 2024 Total views: 349.8k Views today: 7.49k Verified 349.8k+ views Hint: We have to know that the ${C_6}{H_6}$ is the chemical fo...
HuggingFaceTB/finemath
Probability and counting rules meaning. Probability and Counting Rule... Probability and counting rules meaning. Probability and Counting Rules 6 com/americans-are-sick-of-weddings-here-s-how-you-can-help/) Have you seen that headline in your You can test your function by using Fig 3 and the above definition 99/Page O...
HuggingFaceTB/finemath
## Binary numeral system ### Published on 2018-04-02 Each computer system is composed of a number of digital circuits (i.e. circuits with two possible states: 1 - on, and 0 - off). In computer systems, all data (numerical values: 58, -123, 3.14; characters: t, A, *; sentences: "Hello everyone!"; images and more) can ...
HuggingFaceTB/finemath
Convex Function # Convex Function - Convex Functions Our final topic in this... This preview shows pages 1–4. Sign up to view the full content. Convex Functions Our final topic in this first part of the course is that of convex functions. Again, we will concentrate on the situation of a map f : R n R although the si...
HuggingFaceTB/finemath
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. … Therefore, the volume of the cylinder is about 3016 cubic centimeters. Also, How do you find the surface area and volume of a rectangular prism? Formulas for a rectangular prism: 1. Volume of Re...
HuggingFaceTB/finemath
# ALGEBRAIC MANIPULATION PROBLEMS Problem 1 : Twice of Adam's present age is being subtracted from four times of his's age 5 years ago results his present age. What is the present age of Adam. Solution : Let x be Adam's present age. Adam's age 5 years ago = x - 5 Given :  When twice of Adam's present age is subtr...
HuggingFaceTB/finemath
# 5.1: Integer Data Type $$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$ $$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ ( \newcommand{\kernel}{\mathrm{null}\,}\) $$\newcomm...
HuggingFaceTB/finemath
# Algebra posted by . A fish pond at the local park is a regular hexagon. a. Write a formula for the perimeter of the pond in terms of the length of a side. Explain your formula. b. Each side has a length of 7.5 feet. Find the perimeter of the pond. c. Suppose the designer of the pond wants to make another regular he...
HuggingFaceTB/finemath
breannantuli124 13 # y= 6x−3y=−x+2 What is the solution to the system of equations? (1) Answers Hanington955 y = 6x - 3 y = -x + 2 6x - 3 = -x + 2 6x + x = 2 + 3 7x = 5 x = 5/7 y = 6x - 3 y = 6(5/7) - 3 y = 30/7 - 3 y = 30/7 - 21/7 y = 9/7 solution is (5/7, 9/7) Add answer
HuggingFaceTB/finemath
# Know the age puzzle 1,047.0K Views Tony’s father is 45. He is 15 years older than twice Tony’s age. How old is Tony? John is twice as old as Jacob. Three years from now, the sum of their ages will be 42. How old is John? SherlockHolmes Expert Asked on 23rd January 2018 in Tony is 15, John is 24, Jacob, 12 Expla...
HuggingFaceTB/finemath
# [Math] Uniquely Decodable and Instantaneous information theory Which of the following codes are (a) uniquely decodable? (b) instantaneous? $C_1={00,01,0}$ $C_2={00,01,100,101,11}$ $C_3={0,10,110,1110,…}$ $C_4={0,00,000,0000}$ For part a, I think only $C_3$ is uniquely decodable, since combinations of the other...
open-web-math/open-web-math
Question A circular coil of radius $$10\ cm$$ and $$25$$ turns is rotated about its vertical diameter with an angular speed of $$40rad$$ $${s}^{-1}$$ in a uniform horizontal magnetic field of magnitude $$5\times {10}^{-2}T$$. Calculate the emf induced in the coil. Also, find the current in the coil if the resistance...
HuggingFaceTB/finemath
# Math posted by on . What is the difference between an equation with two variables and an equation with three variables? • Math - , one has two, as x and y one has three, as x, y and z • Math - , As bobpursley said one would have variables such as "x" and "y" and the other would have variables of "x", "y' and "z...
HuggingFaceTB/finemath
1. ## WORD I know you are suppose to use y(t) = e^(kt) but I don't know where to go. Please help me out guys. Thanks In 1970 the population of a town was 21,000 and by 1980 that number decreased to 20,000. If the population decreases exponentially, then a. find the population in the year 2000 b. find the population i...
HuggingFaceTB/finemath
# Thursday June 12, 2025 Adding 140 days from Thursday January 23, 2025 is Thursday June 12, 2025 which is day number 163 of 2024. This page is designed to help you the steps to count 140, but understand how to convert and add time correctly. • Days to add: 140 • Specific Date: Thursday January 23, 2025 • Days from T...
HuggingFaceTB/finemath
# What is 3 2 1 12 ## The sum of all natural numbers One of the most remarkable equations in science is that the sum of all natural numbers - the sum of 1, 2, 3, and so on to infinity - is assigned the value -1/12. This is not a joke and even plays a role in physics. But how can the equation be correct? The two math...
HuggingFaceTB/finemath
# The slope of a line with a positive rational slope l, which passes through the point (6,0) and at a distance of 5 from (1,3). Write the slope in the form a/b where a and b are relatively prime. Then the sum of a and b is? $23$ #### Explanation: Let the equation of line be $a x + b y + c = 0$ Above line passes th...
HuggingFaceTB/finemath
# 28405 (number) 28,405 (twenty-eight thousand four hundred five) is an odd five-digits composite number following 28404 and preceding 28406. In scientific notation, it is written as 2.8405 × 104. The sum of its digits is 19. It has a total of 4 prime factors and 16 positive divisors. There are 19,008 positive integer...
HuggingFaceTB/finemath
One-fifth of the light switches produced by a certain factory are defe : GMAT Problem Solving (PS) Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack It is currently 09 Dec 2016, 04:04 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can ...
HuggingFaceTB/finemath
How to Graph Algebraic Relations Key Terms o Graph o Real number line o Real number o Origin o Axis o Coordinate Objectives o Understand what the real number line is and how to locate numbers on it o Be able to construct two-dimensional graphs and find or construct points at specified locations o Use two-dim...
HuggingFaceTB/finemath
Quandaries and Queries Hi, we are trying to make a slump cone (used to measure the slump in concrete). It has dimensions of 8" diameter on the bottom, 4" diameter hole on the top and a height of 12". Please help, it is getting frustrating. Thank you Wendy Hi Wendy, I drew a diagram of your truncated cone and then exte...
HuggingFaceTB/finemath
## Determining specific growth rate Microorganism bacteria kinetics calculator solving for maximum specific growth rate given specific growth rate, Monod Equation - Bacteria Cultures Kinetics  Direct methods include measuring the cell mass concentration and cell number where μ is the specific growth rate (h-1), S is s...
HuggingFaceTB/finemath
# 755 and Level 2 • 755 is a composite number. • Prime factorization: 755 = 5 x 151 • The exponents in the prime factorization are 1 and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1) = 2 x 2 = 4. Therefore 755 has exactly 4 factors. • Factors of 755: 1, 5, 151, 755 • Factor pairs: 755 = 1 x 755 or 5 x 15...
HuggingFaceTB/finemath
You are currently browsing the tag archive for the ‘Pseudorandomness’ tag. Two of my favorite challenges in unconditional derandomization are to find logarithmic-seed pseudorandom generators which are good against: 1. log-space randomized algorithms 2. ${AC^0}$, that is, constant depth circuits of polynomial size Re...
open-web-math/open-web-math
# Thread: show that n! is not O(2^n)? 1. ## show that n! is not O(2^n)? solution: please check if i do it write or wrong n!=n*(n-1)*(n-2)...*3*2*1 let n=4 so we have n!=n*(n-1)*(n-2)*(n-3) = (n^2 - n)(n-2)(n-3) =(n^3 -2n^2 - n^2 + 2n)(n-3) =(n^3 -3n^2+2n)(n-3) =n^4 - 3n - 3n^3 -3n^2 +2n^2 -6n n!=n^4 -3n^3 - n^2 - 9n ...
HuggingFaceTB/finemath
## FA.SPID.8 - Using technology, compute and interpret the correlation coefficient of a linear fit. ### Displaying 1 - 23 of 23 resources: Thumbnail Image Title Description Curriculum Nodes ### Closed Captioned Video: Multiseries Scatterplot Closed Captioned Video: Multiseries Scatterplot In this TI Nspire tutoria...
HuggingFaceTB/finemath
# SOLUTION: 3)can you show me the steps on how to simplify 1.a+(3a-2b)-(4a-3b) 2.4x-(6x-2y)+(2x-7y) 3.7a+[4a-6b-(8a+2b)] 4.3x+[2x+3y-(4x-7y)] 5.(2a-5)+(3a-1)-(4a+2) 6.(3y-2)-(6y+4)+(8y+2 Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: 3)can you show me the steps on how to simplify 1.a+(3a-2b)...
HuggingFaceTB/finemath
Home > Type 1 > Type Ii Error Definition Type Ii Error Definition Contents Elementary Statistics Using JMP (SAS Press) (1 ed.). Hypothesis testing involves the statement of a null hypothesis, and the selection of a level of significance. About Today Living Healthy Statistics You might also enjoy: Health Tip of the D...
HuggingFaceTB/finemath
# Failed Device - What Circuit Fault is Indicated and Where? 1. Oct 28, 2009 ### mjcino 1. The problem statement, all variables and given/known data Four devices are connected in series across a voltage source of 120V. The total circuit current is 4.5A. One device fails to operate. The voltage across each of the oth...
HuggingFaceTB/finemath
These Algebra 1 – Quadratic Functions Worksheets produces issues for completing the square. This Algebra 1 – Quadratic Functions Worksheet produces problems for graphing quadratic inequalities. You can select the magnitude of the “a” time period and the path during which the parabola opens. We call these the solutions ...
HuggingFaceTB/finemath
# NWP105A: Use maps, plans and drawings ## Scales and distance ### Scale bars Maps need to be able to show how distance on the ground corresponds to distance on a map. This is often done using a scale bar. If a map is using a scale of 1: 100 000, one unit of measure on the map represents 100 000 units of measure on...
HuggingFaceTB/finemath
Spatial Statistics II # Spatial Statistics II Télécharger la présentation ## Spatial Statistics II - - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - - ##### Presentation Transcript 1. Spatial Statistics II RESM 575 Spring 2011 Lecture 11 2. What we wil...
HuggingFaceTB/finemath
# Method of difference Tags: 1. Mar 19, 2015 Given series:1,2,5,12,25.... How did they get :$T_n=a(n-1)(n-2)(n-3)+b(n-1)(n-2)+c(n-1)+d$ And for series like 3,7,13,21,.... they have given $T_n=an^2+bn+c$ How do you get these equations? 2. Mar 20, 2015 ### Staff: Mentor Based on the image, this should be 1, 3, 7,...
HuggingFaceTB/finemath
GCSE Maths Geometry and Measure Loci And Construction Constructions Constructions Between Points And Lines Constructions Between Points And Lines Here we will learn about constructions between points and lines, including how to construct a perpendicular from a point to a line using a pencil, a ruler and a pair of co...
HuggingFaceTB/finemath
# Evaluating $\lim _{x\to \infty }\left(\frac{7x^2-1}{7x^2+5}\right)^x$ [closed] How can I find the limits of the following sequence? $$\lim _{x\to \infty }\left(\frac{7x^2-1}{7x^2+5}\right)^x$$ • thank you for adding it for me! – Rastezzy Mar 19 '17 at 19:21 \begin{align} \left(\frac{7x^2-1}{7x^2+5}\right)^x &= \l...
HuggingFaceTB/finemath
# Iterative Closest Point ##### Posted on Nov 07, 2020 describe a general method for registration of 3D shapes including free-form curves and surfaces The method handles the full six-degrees of freedom and is based on the Iterative Closest Point (ICP) algorithm, which requires only a procedure to find the closest po...
open-web-math/open-web-math
# CONVERTING CUSTOMARY UNITS ## Important Stuff Larger Unit to Smaller Unit -----> Multiply Smaller to Larger Unit -----> Divide Example : 1 minute > 1 second Minutes to Seconds -----> Multiply by 60 Seconds to Minutes -----> Divide by 60 ## Practice Problems Problem 1 : Convert 2 feet into inches. Solution :...
HuggingFaceTB/finemath
# Illustrative Mathematics Unit 6.5, Lesson 4: Using Diagrams to Represent Addition and Subtraction Learning Targets: • I can solve problems that involve addition and subtraction of decimals. Related Pages Illustrative Math #### Lesson 4: Adding and Subtracting Decimals with Many Non-Zero Digits Let’s practice add...
HuggingFaceTB/finemath
# What is the square root of 169? Sep 13, 2015 13 #### Explanation: Aug 31, 2016 $169 = 13$ This is the principal root. The root can be $\pm 13$ #### Explanation: We are looking for a number which, multiplied by itself makes 169. ${x}^{2} = 169$ It is a huge advantage in your Maths to know all the squares up ...
HuggingFaceTB/finemath
# In a certain code PROGRESS is written as ‘3’ and DEVELOPMENT is written as ‘16’. How is MANAGEMENT written in that code? This question was previously asked in DSSSB JE EE 2019 Official Paper (Held on 5 Nov 2019) View all DSSSB JE Papers > 1. 7 2. 6 3. 9 4. 8 Option 1 : 7 ## Detailed Solution The logic follows her...
HuggingFaceTB/finemath
# MCAT Physical : Phase Changes ## Example Questions ← Previous 1 3 4 5 ### Example Question #1 : Biochemistry, Organic Chemistry, And Other Concepts A cubical block has a mass of and a density of . Which of the following values most closely approximates the height of the block? Explanation: To solve this ques...
HuggingFaceTB/finemath
# Six Frogs - Puzzle (order reversal using special transpositions) I had come across a puzzle: The six educated frogs in the illustration are trained to reverse their order, so that their numbers shall read 6, 5, 4, 3, 2, 1, with the blank square in its present position. They can jump to the next square (if vacant) o...
open-web-math/open-web-math
# What is the compound interest on $40878 at 10% over 19 years? If you want to invest$40,878 over 19 years, and you expect it will earn 10.00% in annual interest, your investment will have grown to become $250,006.13. If you're on this page, you probably already know what compound interest is and how a sum of money can...
HuggingFaceTB/finemath
## How do you write 6 1/2 miles and 1 1/4 miles as decimals? Perform the division indicated by the fraction and add it to the integer. ½ = 0.5 and ¼ = 0.25 So, the respective decimal forms of the fractions are 6.5 and 1.25. It is usually easier to convert a fraction to a decimal than to find a fraction from a decim...
HuggingFaceTB/finemath
Ads: Get Admission into 200 Level and Study any Course in any University of Your Choice. Low Fees | No JAMB UTME. Call 09038456231 # NECO 2018 Mathematics Questions Online [OBJ and THEORY Answers] Filed in Exam, NECO News on June 1, 2018 NECO 2018 Mathematics Questions Online [OBJ and THEORY Answers]. NECO Mathemat...
HuggingFaceTB/finemath
# Circuit Analyses: Find E3 Given Diagram • polymerase In summary, the conversation discusses the importance of whether a switch is open or closed and its impact on the voltage of a capacitor or battery. The advice given is to use KVL equations and a reference node to solve for the desired variable. The use of univers...
HuggingFaceTB/finemath
## Sunday, December 4, 2016 ### Physics of Surfing Surfing, like many other water related sports depends on two major forces acting on the surfer and the board. These two forces are gravity and buoyancy. These two forces enable to surfer to ride to float before and during their ride. Gravity is the pull on a mass tow...
HuggingFaceTB/finemath
# Simple Collision Detection I’ve seen many people stumbling over collision detection for games. It’s a bit complicated to explain, so I figured I’d make one article I could link to. First, understand your coordinate space. (0, 0) is the top-left of the monitor. To the right, X increases. Going down, Y increases. (0,...
HuggingFaceTB/finemath
# Irreducible polynomial proof check Show that $$f=x^n+x+3$$ is irreducible in $$\mathbb Q[x]$$ for all $$n\geq 2$$. I am aware that this question has already been posted to the website but I just want to know if my attempt at proving it is correct. Here is my proof: First suppose that $$n$$ is odd. Then $$f$$ certa...
HuggingFaceTB/finemath
# Combinations of $6$-digit natural numbers In each of the following 6-digit natural numbers: $333333,225522,118818,707099$, every digit in the number appears at least twice. Find the number of such 6-digit natural numbers. This is how I'm intending to do. 1) Find the total number of 6-digit combinations. 2) Subtra...
HuggingFaceTB/finemath
All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars perplexus dot info Prisoner's Visitors Problem (Posted on 2009-01-21) There are 60 records given to you which correspond to a prisoner who is imprisoned for 60 days. He has 6 relatives one of whom visits him daily and the others visit ...
HuggingFaceTB/finemath
# How to interpret that a distribution does not have defined entropy (or has infinite entropy)? An entropy (is Shannon sense) can be interpreted as uncertainty or missing knowledge. When the knowledge is added, the entropy decreases. Hence it can also be interpreted as information content. However, there are discrete...
open-web-math/open-web-math
# Points on Hyperelliptic Curve "Actually, Bézout's theorem states that a straight line and a hyperelliptic curve of genus $$2$$ intersect in $$5$$ points. So, a straight line through two point lying on $$C$$ does not have a unique third intersection point, it has three other intersection points." However in the same...
HuggingFaceTB/finemath
Chapter 4.4, Problem 78E ### Single Variable Calculus: Early Tr... 8th Edition James Stewart ISBN: 9781305270343 #### Solutions Chapter Section ### Single Variable Calculus: Early Tr... 8th Edition James Stewart ISBN: 9781305270343 Textbook Problem # If an object with mass m is dropped from rest, one model for ...
HuggingFaceTB/finemath
Find all School-related info fast with the new School-Specific MBA Forum It is currently 02 Jul 2016, 01:17 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email. C...
HuggingFaceTB/finemath
# Geometry Understand congruence and similarity using physical models, transparencies, or geometry software. 1. Verify experimentally the properties of rotations, reflections, and translations: a. Lines are taken to lines, and line segments to line segments of the same length. b. Angles are taken to angles of the s...
HuggingFaceTB/finemath
GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video It is currently 26 Jan 2020, 23:01 ### 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 Pr...
HuggingFaceTB/finemath
# Polynomials: Polynomial, Wherefore Art Thou, Polynomial? Quiz Think you’ve got your head wrapped around Polynomials? Put your knowledge to the test. Good luck — the Stickman is counting on you! Q. 1. Which expression is equivalent to 2-4? -16 16 1-16 Q. What is the cube of ? 25 210 Trick question; you can't cube s...
HuggingFaceTB/finemath
# Problem: (a) A narrow beam of light containing yellow (580 nm) and green (550 nm) wavelengths goes from polystyrene to air, striking the surface at a 30.0° incident angle. What is the angle between the colors when they emerge? (b) How far would they have to travel to be separated by 1.00 mm? ###### FREE Expert Solut...
HuggingFaceTB/finemath
hw4soln # hw4soln - ECE 152A Fall 2006 University of California Santa... This preview shows pages 1–10. Sign up to view the full content. ECE 152A – Fall 2006 11/7/2006 Homework #4 Solution – Page 1 of 31 University of California, Santa Barbara Department of Electrical and Computer Engineering ECE 152A – Digital Des...
HuggingFaceTB/finemath
# The Unapologetic Mathematician ## The Category of Matrices IV Finally, all the pieces are in place to state the theorem I’ve been driving at for a while now: The functor that we described from $\mathbf{Mat}(\mathbb{F})$ to $\mathbf{FinVec}(\mathbb{F})$ is an equivalence. To show this, we must show that it is full...
HuggingFaceTB/finemath
# Space Shuttle launch physics question #### JonasS Hello all. I am doing some research on the space shuttle for a class project, and I am having some problems with my data. I was hoping someone could show me the error of my ways. I got all of my data from this site: http://spaceflight1.nasa.gov/shuttle/reference/b...
HuggingFaceTB/finemath
# Calculate frame stack and reach Is is possible to calculate stack and reach for framesize 63? • possible duplicate of Handlebar stem : height vs length – DWGKNZ Mar 18 '14 at 19:27 • Here's an online calculator that I found. I can not speak to its accuracy though. – jimchristie Mar 18 '14 at 19:31 • @DanielRHicks - ...
HuggingFaceTB/finemath
I'm totall beginner, trying to learn python programming codes. So far, got series of python programming problems to solve. Here is one of them.; please I need help on how to write the program. "Write a program that displays a table of the Celsius temperatures 0 through 20 and their Fahrenheit equivalents. The formula ...
HuggingFaceTB/finemath
### Section ROD  Rank One Decomposition From A First Course in Linear Algebra Version 2.99 http://linear.ups.edu/ This Section is a Draft, Subject to Changes Our first decomposition applies only to diagonalizable (Definition DZM) matrices, and yields a decomposition into a sum of very simple matrices. Theorem ROD R...
HuggingFaceTB/finemath
## What does per 100000 person years mean? Incidence specifies the number of new diagnoses for the at-risk population of a disease. Changing the specified population will also change the incidence. For example, the incidence of stroke is approximately 250/100,000 people-year for all individuals in the United States. ...
HuggingFaceTB/finemath
Risk and Rationality 23 April 2014 The world is a risky place where all sorts of nasty things could happen.  So, how do we decide what to do when there are risks at every turn? Luckily, there’s a widely accepted theory that tells me when it’s rational to take a risk. It says that a rational person is someone who max...
HuggingFaceTB/finemath
Daily Math Practice Level Big Small More Less Colors Autism Adventures Life Skills Curriculum Yseult Thaïs October 13, 2020 Math Worksheet What are math worksheets and what are they used for? These are math forms that are used by parents and teachers alike to help the young kids learn basic math such as subtraction, ...
HuggingFaceTB/finemath
## Wednesday, July 11, 2018 ### June 2018 Common Core Algebra I Regents, Part II The following are some of the multiple questions from the recent June 2018 New York State Common Core Algebra I Regents exam. The answers to Part I can be found here ### June 2018 Algebra I, Part II Each correct answer is worth up to 2...
HuggingFaceTB/finemath
## Word Problems with Fractions Can't listen to audio right now? Turn on captions. ### Transcript In this video, we're going to talk about word problems with fractions. The very first rule that we'll talk about is as a general rule when translating words to math, the word is means equals and the word of means multip...
HuggingFaceTB/finemath
Metamath Proof Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  MPE Home  >  Th. List  >  inimass Structured version   Visualization version   GIF version Theorem inimass 5468 Description: The image of an intersection. (Contributed by Thierry Arnoux, 16-Dec-2017.) Assertion Ref Expression inimass ((�...
HuggingFaceTB/finemath
# Law of Cosines Formula If the two sides and angles of the triangle are given, then the unknown side and angles can be calculated using the cosine law. Law of cosine is another formula used to find out the unknown side of the triangle. The Law of Cosine Formula is, $\large a^2=b^2+c^2-2(bc)Cos\;A$ $\large b^2=a^2+c...
HuggingFaceTB/finemath
# Math,Ratio posted by . a wire is bent into a rectangle.the ratio of the length of the rectangle to its breadth is 9:5.if the total length of the wire is 84cm,find the area of the rectangle formed by the wire • Math,Ratio - Two ways. 1) L/B = 9:5 or L/B = 9/5 or 5L = 9B Them L = 9B/5 Since the perimeter is 84, we ...
HuggingFaceTB/finemath
# 1=5,2=10,3=15,4=20,5=? :D 2 by Harshhh 2016-01-23T18:41:29+05:30 ### This Is a Certified Answer Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community memb...
HuggingFaceTB/finemath
# Intuition for nonstandard analysis from limits conception I'm trying to gain an intuition for the use of nonstandard analysis over the limit approach. Traditionally the motivation for derivatives is that the derivative of a point $$(x,f(x))$$ for some function $$f$$ is the slope of the line connecting that point to...
HuggingFaceTB/finemath
# Watt (Power) better conceptually explained. • unders In summary, the definition of a Watt is the rate at which work is done when an object's velocity is held constant at one meter per second against a constant opposing force of one Newton. However, in a scenario without an opposing force, such as a spaceship in spac...
HuggingFaceTB/finemath
Answer.AI Question Mathematics $\left(-2x-2\right)\left(5{x}^{2}-6x+5\right)$(-2x-2)(5x^(2)-6x+5) $5{x}^{2}$5x^(2) $-6x$-6x 5 $-2x$-2x $-10{x}^{3}$-10x^(3) $12{x}^{2}$12x^(2) $-10x$-10 x -2 $-10{x}^{2}$-10x^(2) $12x$12 x -10 5x^(2) -6x 5 -2x -10x^(3) 12x^(2) -10 x -2 -10x^(2) 12 x -10 Correct! Now write the simplified...
HuggingFaceTB/finemath