question stringlengths 200 50k | answer stringclasses 1
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Chapter 5: Methods for Benefit Analysis
4.5 Net Present Value
Net present value (NPV) is what money is worth in the future. NPV is the economic value of today's money in the future. NPV is the economic value of today's money in the future less inflation. For example, \$10 today will be worth \$9.52 a year from now, \... | HuggingFaceTB/finemath | |
## Sunday, August 30, 2015
### AMCAT Quantitative ability Material ( Problems on numbers )
2015 & 2016 Batch Freshers Registration Link
PROBLEMS ON NUMBERS
In this section, questions involving a set of numbers are put in the form of a puzzle. You have to analyze the given conditions, assume the unknown numbers and ... | HuggingFaceTB/finemath | |
laavijsh16
15
# Am nevoie urgent de rezolvarea la exercițiile 3 și 4.
(1) Răspunsuri
salti666
4. a/3=b/5=c/7 a)a+c=2b a/3=b/5; 5a=3b; a=3b/5 b/5=c/7; 7b=5c ; c=7b/5 a+c=3b/5+7b/5=10b/5= 2b b)a²-b²+c²=297 9b²/25-b²+49b²/25= 33b²/25 33b²/25=297 33b²=297*25 33b²=7425 b²=7425:33 b²=225 b=√225=15; a=3b/5; a=3*15 /5; a=... | HuggingFaceTB/finemath | |
Solution for What is 6 percent of 306558:
6 percent *306558 =
(6:100)*306558 =
(6*306558):100 =
1839348:100 = 18393.48
Now we have: 6 percent of 306558 = 18393.48
Question: What is 6 percent of 306558?
Percentage solution with steps:
Step 1: Our output value is 306558.
Step 2: We represent the unknown value wi... | HuggingFaceTB/finemath | |
In the adjacent figure HOPE is a parallelogram.
Question:
In the adjacent figure HOPE is a parallelogram. Find the angle measures x,y and z. State the geometrical truths you use to find them.
Solution:
$\angle \mathrm{HOP}+70^{\circ}=180^{\circ} \quad(l$ inear pair $)$
$\angle \mathrm{HOP}=180^{\circ}-70^{\circ}=1... | HuggingFaceTB/finemath | |
^
# The order of operations - two video lessons for pre-algebra
In the first video (below) I start out with a mini-review of exponents and then we study the order of operations (PEMDAS rule), followed by a few solved examples.
The lesson explains how to solve these problems using the correct order of operations:
• ... | HuggingFaceTB/finemath | |
Domain: The function
f(t)=1/(t+2)
is not defined for t = -2, as this value would result in division by zero. (There would be a 0 on the bottom of the fraction.)
Hence the domain of f(t) is
"all real numbers except -2"
Range: No matter how large or small t becomes, f(t) will never be equal to zero.
[Why? If we try... | HuggingFaceTB/finemath | |
+0
# fractions
+1
137
2
+62
Darius, Ellen and Farman each had some marbles. They traded marbles with one another. In the 1st round, Darius gave 1/5 of his marbles to Ellen. In the 2nd round, Ellen gave 1/4 of his marbles to Farhan. In the 3rd round, Farhan gave 1/2 of his marbles to Darius. Darius had 45 marbles, El... | HuggingFaceTB/finemath | |
## HowMany.wiki
Please get in touch with us if you:
1. Have any suggestions
2. Have any questions
3. Have found an error/bug
4. Anything else ...
# How many roods in 100000000 acres?
100000000 acres equals 4×108 roods because 100000000 times 4 (the conversion factor) = 4×108
## All In One Unit Converter
Acres to ... | HuggingFaceTB/finemath | |
# Prime Factors of 1085
Looking to get a list of the prime factors of 1085? In this article we'll give you all of the information you need, including the definition of the prime factors of 1085, how to calculate the prime factors of 1085 (also known as the prime factorization of 1085). As a bonus, we'll also list out ... | HuggingFaceTB/finemath | |
Question 24
Pihu and Aayu are running on a circular track of diameter 28 m. Speed of Pihu is 48 m/s and that of Aayu is 40 m/s. They start from the same point at the same time in the same direction. When will they meet again for the first time?
Solution
Diameter of circular track = 28 m
Radius = $$\frac{28}{2}$$= 1... | HuggingFaceTB/finemath | |
# Thermodynamic activity
(Redirected from Activity (chemistry))
In chemical thermodynamics, activity (symbol a) is a measure of the "effective concentration" of a species in a mixture, in the sense that the species' chemical potential depends on the activity of a real solution in the same way that it would depend on ... | open-web-math/open-web-math | |
Kepler and Newton
3dsmax
Homework Statement
a. Planet "P" has a mass that is 2.89 times that of the Earth, an equatorial radius that is 1.89 times that of the earth and is located 7.8 times further from the Sun than the earth is. What is the amount of force applied to the planet by the Sun?
b.what is the orbital ve... | HuggingFaceTB/finemath | |
During AMC testing, the AoPS Wiki is in read-only mode. No edits can be made.
# 2007 AMC 12A Problems/Problem 12
The following problem is from both the 2007 AMC 12A #12 and 2007 AMC 10A #16, so both problems redirect to this page.
## Problem
Integers $a, b, c,$ and $d$, not necessarily distinct, are chosen independ... | HuggingFaceTB/finemath | |
# Mathematics: Compiled from the Best Authors, and Intended to be the Text-book of the Course of Private Lectures on These Sciences in the University at Cambridge, Volume 1
W. Hilliard, 1808 - Mathematics
2 Reviews
Reviews aren't verified, but Google checks for and removes fake content when it's identified
### What p... | HuggingFaceTB/finemath | |
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.
### Course: 7th grade (Illustrative Mathematics)>Unit 5
Lesson 8: Lesson 7: Adding and subtracting... | HuggingFaceTB/finemath | |
# How to evaluate the following multivariable limit?
#### rafehi
1. The problem statement, all variables and given/known data
lim (x,y)->(0,0) (cos(x) - 1 + (x^2/2)) / ( x^4 + y^4)
3. The attempt at a solution
Am I correct in assuming that I have to solve by looking for a path where the limit doesn't exist/is diff... | HuggingFaceTB/finemath | |
# Torque
Helena Dedic
If you need to understand the concept of center of mass, please see the link below:
CENTER OF MASS
• A force causes a free object to move in a translational motion if it is applied at the centre of mass of the object or the line of force passes through the centre of mass.
• When a force is not... | HuggingFaceTB/finemath | |
To install click the Add extension button. That's it.
The source code for the WIKI 2 extension is being checked by specialists of the Mozilla Foundation, Google, and Apple. You could also do it yourself at any point in time.
4,5
Kelly Slayton
Congratulations on this excellent venture… what a great idea!
Alexander Gri... | HuggingFaceTB/finemath | |
Math Puzzles
# Circle Puzzle with Solution
1.5k views
## Brief Circle Solution
Step 1 – Let’s find the sum = 2π(1) + 2π(4/5) + 2π(16/25) … = 2π(1 + 4/5 + 16/25 + ……..)
Step 2 – If we look at the sum inside the brackets, it is nothing but a GP, whose sum we know.
Step 3 – S = 2π(1 + 4/5 + 16/25 ……) = 2π(5) = 10π
... | HuggingFaceTB/finemath | |
• # question_answer Plutonium has atomic mass 210 and a decay constant equal to $5.8\times {{10}^{-8}}{{\sec }^{-1}}.$ The number of a-particles emitted per second by 1 mg is: (Avogadro's constant$=6.0\times {{10}^{-23}}$) A) $1.7\times {{10}^{9}}$ B) $1.7\times {{10}^{11}}$ C) $2.9\times {{10}^{11}}$ D)... | HuggingFaceTB/finemath | |
B-spline Curves: Subdividing a B-spline Curve Subdividing a B-spline curve follows exactly the same procedure for subdividing a Bézier curve. However, de Boor's algorithm will be used.
Selecting Control Points
Suppose we want to subdivide a B-spline curve at u into two B-spline curves, one on [0,u] and the other on [... | HuggingFaceTB/finemath | |
# Toronto Math Forum
## MAT334-2018F => MAT334--Tests => Thanksgiving bonus => Topic started by: Victor Ivrii on October 06, 2018, 05:07:03 AM
Title: Thanksgiving bonus 3
Post by: Victor Ivrii on October 06, 2018, 05:07:03 AM
Read section 2.1.1* and solve the problem (10 karma points). As a sample see solutions to od... | HuggingFaceTB/finemath | |
# Convert 774 kbits to bytes
So you want to convert 774 kilobits into bytes? If you're in a rush and just need the answer, the calculator below is all you need. The answer is 96750 bytes.
## How to convert kilobits to bytes
We all use different units of measurement every day. Whether you're in a foreign country and ... | HuggingFaceTB/finemath | |
×
×
## Mathematics / Knowing your numbers
### Mathematics / Knowing your numbers
Natural numbers are those that are used for counting. The first natural number is 1.
Whole numbers consist of all the natural numbers and the number 0.
Addition, subtraction, multiplication and division can be performed on natural nu... | HuggingFaceTB/finemath | |
7570 plus 4 percent
Here we will teach you how to calculate seven thousand five hundred seventy plus four percent (7570 plus 4 percent) using two different methods. We call these methods the number method and the decimal method.
We start by showing you the illustration below so you can see what 7570 + 4% looks like, ... | HuggingFaceTB/finemath | |
# Integrating a Tschebyshev polynomial?
• Feb 18th 2013, 02:17 PM
BaconPancakes
[SOLVEDIntegrating a Tschebyshev polynomial?
1. For a whole number n ≥0
define
http://www.webassign.net/latexImages...35acc53c24.gif
Integrate http://www.webassign.net/latexImages...c11b67833f.gif
Can someone explain how to integrate Tn(x... | HuggingFaceTB/finemath | |
# QUADRATIC INEQUALITIES - FORMULAS FOR SOLVING, SOLVED EXAMPLES, EXERCISES
if you have not already done so.
ax2 + bx + c where a ( ≠ 0 ), b, c are constants which can take real number values, is called a Quadratic Polynomial or Quadratic Expression in x.
If the Quadratic polynomial or Expression is equated to zero,... | HuggingFaceTB/finemath | |
Metamath Proof Explorer < Previous Next > Nearby theorems Mirrors > Home > MPE Home > Th. List > mulpqnq Structured version Visualization version GIF version
Theorem mulpqnq 9642
Description: Multiplication of positive fractions in terms of positive integers. (Contributed by NM, 28-Aug-1995.) (Revised b... | HuggingFaceTB/finemath | |
Q. 64.3( 11 Votes )
# ABC is a triangle
Given:- ACB is right angle triangle
M is midpoint of AB
DM||CB
Formula used:- Line drawn through midpoint of one side of triangle
Parallel to other side , bisect the 3rd side
* SAS congruency property
If 2 sides and angle between the two sides of both
the triangle are eq... | HuggingFaceTB/finemath | |
v λ 3 = [ 1 λ 3 λ 2 ] T. {\displaystyle v_ {\lambda _ {3}}= {\begin {bmatrix}1&\lambda _ {3}&\lambda _ {2}\end {bmatrix}}^ {\textsf {T}}} with eigenvalues λ2 and λ3, respectively. Eigenvector and Eigenvalue. Display decimals, number of significant digits: ⦠Let us work through the mathematics to find out: I don'... | HuggingFaceTB/finemath | |
# Car Crash Calculator
The Car Crash Calculator is an online application that calculates the g-force you'll experience in a car accident. Simply give the inputs in the necessary fields of the input section as per the applicable mode, i.e. before, during, and after a car crash, and you will receive the relevant outputs... | HuggingFaceTB/finemath | |
supremeconcreteco.com
Do you ever find yourself standing on a construction site, gazing at heaps of concrete, wondering how much you actually need?
Look no further! This article will guide you through the process of calculating the amount of concrete in cubic meters.
With a step-by-step approach, we will explore the... | HuggingFaceTB/finemath | |
# The water in a 25 m deep reservoir is kept inside by a 150 m wide wall whose cross section is an equilateral triangle. Determine a) the total hydrostatic force acting on the inner surface of the wall and its line of action, b) the magnitude of the horizontal component of this force.
Question-AnswerCategory: Fluid Me... | HuggingFaceTB/finemath | |
The Educator's PLN
The personal learning network for educators
# Basic Concepts Of Trigonometry
Trigonometry is a branch of mathematics. It is a central of mathematics. Trigonometry is all about the relation between the sides and angles of the triangles. The father of the trigonometry is “Hipparchus” introduce first... | HuggingFaceTB/finemath | |
PDA
View Full Version : Second-order linear homogeneous ODEs
barking frog
09-27-2003, 03:45 PM
Could someone please outline the method (or provide a link) on how to solve such equations when they have an initial condition? Without an IC the problem is quite trivial, but we never covered such problems in class, nor is... | HuggingFaceTB/finemath | |
# BookRiff
If you don’t like to read, you haven’t found the right book
## What is the conditional standard deviation?
Standard Deviation of a Conditional Distribution (Discrete Case) The conditional standard deviation of X given that Y=y is defined by: σX|Y=y=√Var(X|Y=y) While, the conditional standard deviation var... | HuggingFaceTB/finemath | |
# Self-assessment for: Local measures of precision, and measures in one dimension
Lesson Progress
0% Complete
These self-assessment problems accompany our in-class discussions on Local measures of precision, and measures in one dimension.
## Problem 1
In class we discussed precision vs. accuracy and, in doing so, w... | HuggingFaceTB/finemath | |
# Video: GCSE Mathematics Foundation Tier Pack 5 β’ Paper 2 β’ Question 2
GCSE Mathematics Foundation Tier Pack 5 β’ Paper 2 β’ Question 2
01:37
### Video Transcript
Simplify four π¦ minus two π¦ plus π¦.
To simplify an algebraic expression like the one we have here means that we need to collect like ter... | HuggingFaceTB/finemath | |
# algebra (check plz)
posted by on .
write an equation in slope-intercept form of the line that passes through the given points.
a. (-6,1), (3,-7)
b. (-2/3,4), (6, -1/3)
write an equation in point-slope form of the line that passes through the given poitns.
c. (-2,5), (4,-3)
d. (1/2,-1), (-2/3,6)
___________________... | HuggingFaceTB/finemath | |
# Search Our Content Library
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Lesson Plan
Capacity Comparison
Your class will love this outdoor activity that teaches them how to compare the capacity of different containers.
Kindergarten
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Lesson Plan
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# Binomial probability distribution, n =100, p=1/6 - PowerPoint PPT Presentation
Binomial probability distribution, n =100, p=1/6. Experimental b inomial probability distribution, 100 dice, repeated 250 times, p=1/6. Cosine program. Pythagorean triples. Fermat’s last theorem.
I am the owner, or an agent autho... | HuggingFaceTB/finemath | |
1. ## Equivalence classes HELP!!!
(a) Let A = {(1,3),(2,4),(-4,-8),(3,9),(1,5),(3,6)}. Define a relation R on A as follows: (a,b)R(c,d) if ad=bc. List the equivalence classes of R.
(b) Let a,b ∋ Z
(i) Define aRb and only if a^3 ≡ b^3 (mod 7).
Prove that R is an equivalence relation on Z.
(ii) Define a ≅ b if and only ... | HuggingFaceTB/finemath | |
# NCERT Exemplar Class 9 Maths Solutions for Chapter 3 - Coordinate Geometry
## NCERT Exemplar Solutions Class 9 Maths Chapter 3 – Free PDF Download
NCERT Exemplar Class 9 Maths Chapter 3 Coordinate Geometry, are provided here in the PDF format for students to prepare for exams. Students can make use of this exempla... | HuggingFaceTB/finemath | |
# What is the Formula -RC series circuit impedance & current
#### ericgibbs
Joined Jan 29, 2010
12,272
hi,
Remember original question...
What is the Formula -RC series circuit impedance & current.
E
#### MrAl
Joined Jun 17, 2014
8,067
Hi there,
I am not sure what you guys are calculating, but an RC series circuit... | HuggingFaceTB/finemath | |
# Algebra 1
posted by on .
I do not understand how to figure out probability.
Lee has an urn with 8 white marbles and 10 black marbles. A marble is drawn at random and not replaced. Then a second marble is drawn randomly. What is the probability that the first is white and the second is black?
• Algebra 1 - ,
prob... | HuggingFaceTB/finemath | |
#### Thank you for registering.
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There are no items in t... | HuggingFaceTB/finemath | |
# I don't understand the standard deviation.
Note that I qualified what I said, using "about." I know the difference between the mean and median, and also the mode, another measure of central tendency. I was just trying to distinguish between two types of statistical measures.
It's unfortunate that they all begin with... | HuggingFaceTB/finemath | |
# Biomod/2012/UTokyo/UT-Komaba/Simulation
(Difference between revisions)
Revision as of 16:38, 27 October 2012 (view source) (→Bistable Simulation with "Switch")← Previous diff Revision as of 16:44, 27 October 2012 (view source) (→Bistable Simulation Without "Switch")Next diff → Line 16: Line 16: ===Bistable Simulati... | HuggingFaceTB/finemath | |
# 2007 AMC 12B Problems/Problem 9
## Problem
A function $f$ has the property that $f(3x-1)=x^2+x+1$ for all real numbers $x$. What is $f(5)$?
$\mathrm{(A)}\ 7 \qquad \mathrm{(B)}\ 13 \qquad \mathrm{(C)}\ 31 \qquad \mathrm{(D)}\ 111 \qquad \mathrm{(E)}\ 211$
## Solution
$3x-1 =5 \implies x= 2$
$f(3(2)-1) = 2^2+2+1... | HuggingFaceTB/finemath | |
All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
perplexus dot info
My favorite numbers VII (Posted on 2011-04-06)
Each of A, B, C and D is a positive integer, with A > B, such that: A+B = C - 11*D.
Determine (with proof) the quadruplet (A, B, C, D) that generates the minimum value ... | HuggingFaceTB/finemath | |
# Assignment 14 - Binary Search in Mathematics
1. Getting Started.
Please refer to this page for information on how to work on your assignment.
2. Outline
Binary search is a method to find in an ordered list a datum. In Mathematics, one can use the same principle in order to find a place where a monotonically incre... | HuggingFaceTB/finemath | |
## Question
### Comprehension
Direction: Study the following pie chart and table and answer question.
Ratio between Male and Female Employees Company Male : Female A 9 7 B 11 9 C 7 10 D 14 13 E 6 5
# The total number of male employees in all the five companies exceeds the total female employees of the companies by... | HuggingFaceTB/finemath | |
# How to perform this kind of matrix division in Matlab?
This problem is probably less to do with Matlab and more to do with matrix algebra (which I mostly forget from my college courses). Say I have a `m x n` matrix `X` and a `m x 1` matrix `B`. How would I divide the `X` by `B` such that all the elements of the `i`t... | HuggingFaceTB/finemath | |
Difference Between Similar Terms and Objects
# Difference Between Volume and Capacity
Volume vs Capacity
If there are two terms in general science that are most often interchanged in use and meaning, it is no other than volume and capacity. To give you an idea of the real differences between these two terms, let us ... | HuggingFaceTB/finemath | |
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# Units Conversion
1,269 views
1,158 views
Published on
Your science teacher has just asked you to solve some problems using dimensional analysis….OMG! What is dimensional analysis??
Don't sweat it! Dimensional Analysis (DA) is just a fancy term for converting one unit to another.
You use di... | HuggingFaceTB/finemath | |
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!)
A086108 Numbers n with the following property: Every symmetric polynomial of the digits of n is prime. (A symmetric polynomial is uncha... | HuggingFaceTB/finemath | |
# The bisector AL is drawn in the triangle ABC, the angle ALC is 148 °, the angle ABC is 132 °. Find the angle of the ACB.
Let ∠BAL = x
Then, ∠LAC also = x (since AL is a bisector).
Consider the triangle ABC:
∠ABC + ∠ACB + ∠CAB = 180 ° (by the theorem on the sum of the angles of a triangle).
132 ° + ∠ACB + 2x = 180 °
... | HuggingFaceTB/finemath | |
# Why does tossing a coin in a train and on a train differ?
Suppose that I am inside of a moving train. I have a coin in my hand and I am standing still. If I toss this coin straight up, it will fall back into my hand.
Now, suppose that I am on that moving train's roof. Now if I toss the coin straight up, the coin wi... | HuggingFaceTB/finemath | |
### Domain and range: Definitions & notation
This section will refine our view of functions just a bit. In working with functions, it's important to know just what values can be put into a function and just what values the function can give back. These sets of numbers are known as domain and range, respectively.
The... | HuggingFaceTB/finemath | |
# Unit: 2 - Troup 6-12 Teacher Resources
advertisement
```Unit: 2
The Powers
That Be
Unit Essential Question:
•How can rational and
irrational numbers be
expressed by exponents,
square roots and
scientific notation?
Standard(s): M8N1
•Students will understand
different representations
of numbers including
square roots... | HuggingFaceTB/finemath | |
# Magnetic Field Calculation
#### PhysicsLearner123
I am trying to solve the following problem
This is my attempt, I am assuming an ampere loop of circle at point P.
The magnetic field at point P due to the circular pipe is
The ampere loop formula is
$$\displaystyle \int B.ds = Ienc*u0;$$
B * 2*Pi*(R + R) = u0*0.00... | HuggingFaceTB/finemath | |
Cody
# Problem 734. Ackermann's Function
Solution 1258698
Submitted on 29 Aug 2017 by Andy Seeder
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
m=0; n=1; Ack = n+1; assert(isequal(ackermann(m,n),... | HuggingFaceTB/finemath | |
# Manitoba Example Of Present Value Of Annuity Due
## Present value of an annuity due table Present value
### HP 10BII Tutorial Annuities TVMCalcs.com
Future Value of an Annuity Due YouTube. Test your knowledge of annuities. The present value of an annuity due is greater than the present value of an ordinary annuity... | HuggingFaceTB/finemath | |
• Mar 10th 2011, 04:23 PM
sirellwood
Can anybody solve these two equations with two unknowns for me?
$\frac{a}{a+b}$= $\frac{4}{102}$, and
$\frac{a*b}{(a+b)^2(a+b+1)}$ = 0.0003658
Basically I am doing a Statistics question about beta distribution and this has cropped up during the question, and when i get my answers... | HuggingFaceTB/finemath | |
PyCSP3
# Constraint Count
The constraint Count imposes that the number of variables from a specified list of variables that take their values from a specified set (often, a single value) respects a numerical condition.
Below, we give several illustrations corresponding to representative use cases of the constraint C... | HuggingFaceTB/finemath | |
# 2017 AMC 8 Problems/Problem 7
## Problem
Let $Z$ be a 6-digit positive integer, such as 247247, whose first three digits are the same as its last three digits taken in the same order. Which of the following numbers must also be a factor of $Z$?
$\textbf{(A) }11\qquad\textbf{(B) }19\qquad\textbf{(C) }101\qquad\text... | HuggingFaceTB/finemath | |
7.3 C
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# Linear Graph – Definition & Properties
### Considerations to keep in mind when enrolling at MBBS College in China
Have you ever heard of a linear graph? Let’s discuss what types of graphs these are. Starting with a linear graph, a linear graph... | HuggingFaceTB/finemath | |
# Mastery for GCSE Edexcel
3
## Inside the Unit...
### Areas Covered
• Lesson 1: Ratio
• Lesson 2: Using ratios
• Lesson 3: Ratio as a fraction
• Lesson 5: Scale diagrams
• Lesson 6: Compound units
• Unit assessment
There are 6 exercise sheets and an examination-style assessment test, each with answers included in... | HuggingFaceTB/finemath | |
If And Sumif :: d02tvh.com
09/10/2008 · Hello! I am attempting to utilize the SUMIF and IF AND formula to sum up a large range of data. The end result is to have a total next to each of the names in Col A by setting the criteria on Col C. This page contains many easy to follow SUMIF examples. Sumif with Numeric Crit... | HuggingFaceTB/finemath | |
SCORE:
#### SetSquare leaderboard
All-time leaderboard
Monthly leaderboard
## How to play
This is an example of a completed SetSquare grid. The aim of this puzzle is to insert the numbers 1 to 9 (once and only once) in to the grid, so that the calculations are all satisfied.
Note that these calculations are done in... | HuggingFaceTB/finemath | |
## FANDOM
37 Pages
Pi, written as π, is a universally recognized mathematical constant that is irrational, for it neither repeats nor terminates.
Below is what a ninth-grade geometry student memorizes of pi.
$\pi\, = 3.141592653589793238462643383279502884197...$
Below is the first 100 digits of pi.
$\pi\, = 3.141... | HuggingFaceTB/finemath | |
# SAT Math : Inequalities
## Example Questions
### Example Question #2 : Inequalities
Given the inequality above, which of the following MUST be true?
Explanation:
Subtract from both sides:
Subtract 7 from both sides:
Divide both sides by :
Remember to switch the inequality when dividing by a negative number:
... | HuggingFaceTB/finemath | |
2-3 notes - Section 2-3 Direct Variation Warm-up Solve each equation for y 1 12 y = 3x 2 3 y = 15 x 4 3 27 x = 0.9 y Objectives 1 Identify direct
# 2-3 notes - Section 2-3 Direct Variation Warm-up Solve each...
• Notes
• 3
This preview shows page 1 - 3 out of 3 pages.
Section 2-3 Direct Variation Warm-up: Solve eac... | HuggingFaceTB/finemath | |
Browse Questions
# How many 3-digit numbers can be formed from the digits 1,2,3,4 and 5 assuming repetition of digits is allowed
$\begin{array}{1 1}(A)\;135\\(B)\;125\\(C)\;150\\(D)\;175\end{array}$
There are five digits 1,2,3,4 and 5.Every digit can be selected any number of times.Hence we can select first digit 5 ... | HuggingFaceTB/finemath | |
# Different results of a definite integral $\int_0^{\cosh ^{-1}(a)} \frac{1}{\sqrt{a^2 \text{sech}^2(x)-1}}\, dx$
fixed in 10.0.2
Update
I have tried like these. I think there is a bug.
Plot[1/Sqrt[-1 + 2^2 Sech[x]^2], {x, 0, ArcCosh},
Ticks -> {{ArcCosh}, Automatic}] This is the antiderivative.
primitive = Integr... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Compare 1/8 and 3/9
1/8 is smaller than 3/9
#### Steps for comparing fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 8 and 9 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72
2. For the 1st fraction,... | HuggingFaceTB/finemath | |
# Suppose that the helght (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
Suppose that the helght (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 7 hours of burning, a candle has a height of 20.9 centi... | HuggingFaceTB/finemath | |
## 6.5 Physical Applications
### Learning Objectives
• Determine the mass of a one-dimensional object from its linear density function.
• Determine the mass of a two-dimensional circular object from its radial density function.
• Calculate the work done by a variable force acting along a line.
• Calculate the work do... | HuggingFaceTB/finemath | |
+0
# \frac{4}{.2\cdot \frac{4}{6\cdot \frac{3}{3\cdot \frac{3.06}{\frac{6}{\frac{3}{955\cdot 6}}}}}=?
0
450
1
+183
\frac{4}{.2\cdot \frac{4}{6\cdot \frac{3}{3\cdot \frac{3.06}{\frac{6}{\frac{3}{955\cdot 6}}}}}}=?
Jun 20, 2017
#1
+20848
+2
\frac{4}{.2\cdot \frac{4}{6\cdot \frac{3}{3\cdot \frac{3.06}{\frac{6}{\frac... | HuggingFaceTB/finemath | |
# The Excel YIELDMAT Function
Related Functions:
YIELD
YIELDDISC
## Basic Description
The Excel YIELDMAT function calculates the annual yield of a security that pays interest at maturity.
The syntax of the function is :
YIELDMAT( settlement, maturity, issue, rate, pr, [basis] )
Where the arguments are as follows:... | HuggingFaceTB/finemath | |
# Chapter 24
## Chapter 24
- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
##### Presentation Transcript
1. Chapter 24 Electric Current
2. André-Marie Ampère 1775 – 1836 Electric Current • The electric currentI is the rate of flow of charge through s... | HuggingFaceTB/finemath | |
# Why convergence in probability is defined as convergence to R.V.?
Wikipedia defines convergence in probability as
A sequence ${X_n}$ of random variables converges in probability towards the random variable $X$ if for all ε > 0 $$\lim_{n\rightarrow\infty} P(|X_n-X|>\varepsilon) = 0$$
I wonder why the limit $X$ is a... | HuggingFaceTB/finemath | |
# Looking at the link below, what would the money multiplier be when the required reserve ratio is 10%? Question 2c in http://postimage.org/image/npfkaa3uz/
Asked on by avde94
### 1 Answer |Add Yours
pohnpei397 | College Teacher | (Level 3) Distinguished Educator
Posted on
In this situation, the money multiplie... | HuggingFaceTB/finemath | |
# Number of ways to make exactly C components in a 2*N matrix
• Last Updated : 27 Jan, 2022
Given two positive integers N and C. There is a 2*N matrix where each cell of the matrix can be colored in 0 or 1. The task is to find number of ways, the 2*N matrix is formed having exactly c components.
A cell is said to be... | HuggingFaceTB/finemath | |
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# (I only need some hints)Find the vector equation of a space curve that represents an ellipse with the given center that lies in the given plane
Full disclosure, this is for a Calculus III graded homework set--though we are allowed to use any resources available to complete it.
I feel I have a good understanding of ... | HuggingFaceTB/finemath | |
# Skyscraper fun with OR-Tools!
My friend Mike recently showed me a puzzle game called Skyscrapers, which you can play here. It’s a neat idea, in the general theme of “fill in the numbers with these constraints” puzzles like Sudoku or Verbal Arithmetic.
The rules are like so. You’re given a board like this, represent... | HuggingFaceTB/finemath | |
www.vustudents.ning.com
# sta301 1st assignment solution by ash
if u find any mistake so plzzzzz tell
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STA301_Assignment#01_Solution_(www.vustudents.ning.com)
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STA301_Solved_Assignment#01
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plz meas... | HuggingFaceTB/finemath | |
Decidability of Unary Languages / One-to-One Mapping
I'm trying to prove that there exists an undecidable subset of {1}* by showing a one-to-one correspondence between it and {0, 1}* (which would imply a one-to-one correspondence between their power sets), but I'm struggling with how to do the one-to-one mapping. Isn'... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from cubic centimeters to cubic meters is 1.0E-6, which means that 1 cubic centimeter is equal to 1.0E-6 cubic meters:
1 cm3 = 1.0E-6 m3
To convert 628 cubic centimeters into cubic meters we have to multiply 628 by the conversion factor in order to get the volume amount fr... | HuggingFaceTB/finemath | |
Sections:
# Simplifying Radical Expressions
About:
Additional Resources:
In this section, we will learn how to simplify radicals. We begin by learning about the product rule for radicals, along with the quotient rule for radicals. The product rule for radicals tells us if the index is the same, we can multiply the r... | HuggingFaceTB/finemath | |
# What is the domain and range if pizzas are sold at $2.50 a slice and the initial cost for it is$350.00?
Nov 23, 2017
Domain: $\left[140 , + \infty\right)$
Range: $\left[350 , + \infty\right)$
#### Explanation:
The "domain" is essentially the independent variable (number of slices in this case) and the "range" is ... | HuggingFaceTB/finemath | |
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# prove that r^n is a complete metric space
November 28, 2020
this only to have some intuition for how to think about metric spaces in general, but that anything we prove about metric spaces must be phrased s... | HuggingFaceTB/finemath | |
Homework2_Solutions
# Homework2_Solutions - I HOMEWORK#2 SOLUTIONS 1 M T F =...
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I. HOMEWORK #2 SOLUTIONS 1) MTF = | H ( u ) | H (0) a) H 1 ( u ) = F{ h 1 ( x ) } Note: F{ e - ax 2 } = p π a e - π 2 u 2 a H 1 ( u ) = 5 πe - 5 π 2 u 2 MTF = 5 πe - 5 π 2 u... | HuggingFaceTB/finemath | |
# polygon angle sum theorem , exterior angle of a polygon
Jun 29, 2022 ## How do you find the sum of the angle measures for a polygon?
The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon. An octagon has eight sides, so the sum of the an... | HuggingFaceTB/finemath | |
# Three Columns
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## Objective
SWBAT identify the relationships among combinations of 10. They will also use standard notation to represent addition situations.
#### Big Idea
Using visual models to write equations, students will build towers of ten and look at the number comb... | HuggingFaceTB/finemath | |
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# Crack it (1) The total cost of fencing a rectangular field at the rate of 31/mis 2914. If its lengthis 25 m, find its breadth. (Hint: First divide the total cost by rate to find the perimeter.)(2) The length and breadth of a rectangle are in the ratio 3:2. If its perimeter is 3 m80 cm, f... | HuggingFaceTB/finemath | |
# SOLVING LINEAR EQUATIONS IN 2 VARAIBLES USING INVERSION METHOD
Formula for inversion method :
X = A⁻¹ B
Example 1 :
Solve the following linear equation by inversion method
x + y = 3, 2x + 3y = 8
Solution :
First we have to write the given equation in the form
AX = B
Here X represents the unknown vari... | HuggingFaceTB/finemath |
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