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# Arithmetic mean
Last updated
In mathematics and statistics, the arithmetic mean (, stress on first and third syllables of "arithmetic"), or simply the mean or the average (when the context is clear), is the sum of a collection of numbers divided by the count of numbers in the collection. The collection is often a ... | HuggingFaceTB/finemath | |
Sinking Fund Problems
# Sinking Fund Problems
Problem:
An apartment owner saves for a \$20,000 roof that will need to be replaced in 10 years. The estimated rate that can be earned over the 10 year period is 7%.
Solution:
1 Use the annual 7% table
2 The sinking fund factor for 10 years (column 3) is 0.072378
... | HuggingFaceTB/finemath | |
Equidistant points in any straight line boundedPython
1
I would like to know if there is already a function to do something similar to np.linspace, but not in the range of scalars but instead of vector. That is, if I have 2 points and I draw the line between them as I can divide it equidistantly. Before thinking abou... | HuggingFaceTB/finemath | |
# How can a 5,000-pound truck tow 10,000 pounds?
Wait, doesn't that defy physics? Nope.
Tim McCaig/iStockPhoto
Have you ever watched in amazement as a pickup truck tows a huge load of bricks? If you thought, "Wow, that defies the laws of physics!" you would be wrong.
Believe it or not, the laws of physics (or more s... | HuggingFaceTB/finemath | |
# Recitation 17
Example 1: Find the exact area of the surface obtained by rotating the curve about the $x$-axis. $y=\sqrt{1+e^x}, 0\leq x\leq 1$.
Hint: Use the formula $\int_{x_1}^{x_2}2\pi f(x)\sqrt{1+(f'(x))^2}dx$ for the area of the surface.
Example 2: Use Newton’s method with the specified initial approximation ... | HuggingFaceTB/finemath | |
# 976 Revolution/Square Week in Arcmin/Square Second
Angular Acceleration
Revolution/Square Week
Arcmin/Square Second
976 Revolution/Square Week = 0.000057634164777022 Arcmin/Square Second
## How many Arcmin/Square Second are in 976 Revolution/Square Week?
The answer is 976 Revolution/Square Week is equal to 0.00005... | HuggingFaceTB/finemath | |
### Backfilling
Backfilling of stopes is performed by utilization of Cavo 310 load and haul machine. Maximum backfilling transportation distance is illustrated in Figure 24 and is around 125m at the level L+1600m. Figure 24 Longest backfill distance
Volume of material that has to be installed in the stope:
$$V=w\cd... | HuggingFaceTB/finemath | |
Finally, raise your answer to the exponent and subtract 1 from that number to get your annualized return. There's no need to combine cash flows for specific periods. As you can see, a .486758% interest rate (or .49% if you’re not a fan of 6-digit decimals) will net you a 6% annual rate of return. How do I calculate the... | HuggingFaceTB/finemath | |
##### ????????????????????????????????????
label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet \$5
Mary is six years older than little Timmy. Jane is exactly twice Timmy's age. The sum of all three is 34. Find the age of MARY
a. x=7 b. x=21 c. x=4 d. x=-11 ??????
Jul 9th, 2015
let ag... | HuggingFaceTB/finemath | |
# The Geometric Density Hales-Jewett Theorem
Guest post by Jim Geelen
In my last post I discussed the Turán problem for the binary projective geometry $\PG(m-1,2)$. We saw that chromatic number plays a significant role in Turán problems for graphs and that critical exponent plays an important role in Turán problems o... | open-web-math/open-web-math | |
# Dimension of Tension and its Derivation | Tension Dimensional Formula
Dimension of Tension: Tension is a pulling force that acts along a medium that is being applied an external force. This tension acts axially i.e. along with length. The action-reaction pair of forces that are present at each end of the element can... | HuggingFaceTB/finemath | |
# If $P(n)$ divides $P(P(n)-2015)$, prove that $P(-2015)=0$
Q. Let $P(x)$ be a non-constant polynomial whose coefficients are positive integers. If $P(n)$ divides $P(P(n)-2015)$ for every natural number $n$, prove that $P(-2015)=0$.
In one of the sources, the solution given is as follows: Note that $P(n)-2015-(-2015)... | HuggingFaceTB/finemath | |
## Algebra and Trigonometry 10th Edition
First, make a vertical shrink of $y=x^2$ to obtain $y=\frac{1}{2}x^2$. Then, move the graph of $y=\frac{1}{2}x^2$ one unit down to obtain $k(x)=\frac{1}{2}x^2-1$
Red: $y=x^2$ Green: $y=\frac{1}{2}x^2$ Blue: $k(x)=\frac{1}{2}x^2-1$ | HuggingFaceTB/finemath | |
## Marlins0412 3 years ago Question 7 (Multiple Choice Worth 1 points) What are the x– and y–intercepts of the quadratic equation y = 2x2 – 8x + 6? x–intercepts: (–3, 0) and (–1, 0) y–intercept: (0, 3) x–intercepts: (–3, 0) and (–1, 0) y–intercept: (0, 6) x–intercepts: (–3, 0) and (–1, 0) y–intercept: (0, 3) x–intercep... | HuggingFaceTB/finemath | |
# Anything Snap
## Can You Solve This?9-3÷1-|3+1==
#### Solve
To solve this math problem, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
The problem is: 9 - (... | HuggingFaceTB/finemath | |
Examveda
One single phase wattmeter operating on 230V and 5A for 5 hours makes 1940 revolutions. Meter constant in revolutions is 400. What is the power factor of the land?
A. 1
B. 0.84
C. 0.73
D. 0.65
1. kWh consumed=230 x 5 x 5 =5.750 kWh
meter constant= 400 rev/kWh
rev for 5 hours = 1940
kWh= rev/ meter consta... | HuggingFaceTB/finemath | |
# What operations is this asymptotic relation closed under?
For all positive functions $f$ and $g$ of the real variable $x$, let $\sim$ be a relation defined by
$f \sim g$ if and only if $\lim_{x \rightarrow \infty} \frac{f(x)}{g(x)} = 1$
Then if $f \sim g$, we have for example, that $f^2 \sim g^2, \sqrt{f} \sim \sq... | HuggingFaceTB/finemath | |
## 583432
583,432 (five hundred eighty-three thousand four hundred thirty-two) is an even six-digits composite number following 583431 and preceding 583433. In scientific notation, it is written as 5.83432 × 105. The sum of its digits is 25. It has a total of 5 prime factors and 16 positive divisors. There are 289,536... | HuggingFaceTB/finemath | |
what is the present age of the father?
The father is 28 years older than his son. In five years his age is double that of his son's. What is his present age? Choose the right option: 1. 52 2. 51 3. 56 4. 50
• Amita
• 17 jun.
• 517 Visto
• 3 Respuestas
3 Respuestas
1-3 of 3
3 Respuestas
• B
• Assume Father's Present ... | HuggingFaceTB/finemath | |
# Matlab, finding the variance given a probability distribution
How would I numerically find the variance given a probability distribution in MATLAB? I understand(I think) how to do it symbolically, but is there any way to be confirm my results?
I am given the probability mass function, which is $$P(X=n)=2^{-n},\qqua... | HuggingFaceTB/finemath | |
# algebra
How do I get the write out the problem for : The sample space is orange, purple and white. If P(orange)=2/5 and P(purple)=3/10, what is P(white)?
I have written 2/5.3/10=6/15 2/5
1. 👍 0
2. 👎 0
3. 👁 234
1. Step 1. Get common denominator (10 in this case)
2/5 is the same as 4/10.
orange is now 4/10 and pu... | HuggingFaceTB/finemath | |
# What is rigorous notation for functions?
I have seen many ways to denote a function: $f(x)=x^2, y=x^2, f: x\mapsto x^2$ and so on. What is exact notation for functions? Please include lethal doses of rigor, set theory, and of course notational exactness.
Note: I am very familiar with functions in general. I just kn... | HuggingFaceTB/finemath | |
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# Long Division (Division Tutor Series II - SET 2 Grayscale)
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Series II -Set 2
In... | HuggingFaceTB/finemath | |
## Wednesday, March 29, 2017
### PKC 2017: Kenny Paterson accepting bets on breaking TLS 1.3
The member of the TLS 1.3 working group is willing to bet for a beer that the 0-RTT handshake of TLS 1.3 will get broken in the first two years.
In his invited talk, Kenny managed to fill a whole hour on the history of SSL/T... | open-web-math/open-web-math | |
# System of equations - examples - page 18
1. Quadratic function Write the equation of the quadratic function which includes points A (-1, 10), B (2, 19), C (1,4)
2. Bottles Mrs. Violet brewed 15 l of raspberry juice. She poured it into 17 bottles. Some were 3/4 liter and some one liter. How many was bottles of this t... | HuggingFaceTB/finemath | |
Chapter 16.3, Problem 7E
Chapter
Section
Textbook Problem
Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇ f.7. F(x, y) = (yex + sin y) i + (ex + x cos y) j
To determine
Whether F is a conservative vector field and find corresponding function f such that F=f ... | HuggingFaceTB/finemath | |
# Finding all paths on undirected graph
I have an undirected, unweighted graph, and I'm trying to come up with an algorithm that, given 2 unique nodes on the graph, will find all paths connecting the two nodes, not including cycles. Here's an illustration of what I'd like to do: Graph example
Does this algorithm have... | HuggingFaceTB/finemath | |
# Combinatorics - math word problems
1. Win in raffle
The raffle tickets were sold 200, 5 of which were winning. What is the probability that Peter, who bought one ticket will win?
2. Football league
In the football league is 16 teams. How many different sequence of results may occur at the end of the competition?
3. ... | HuggingFaceTB/finemath | |
Dividing fractions is just as easy as multiplying them. In fact, when you divide fractions, you really turn the problem into multiplication by using a reciprocal.
To divide one fraction by another, multiply the first fraction by the reciprocal of the second. (The reciprocal of a fraction is simply that fraction turned... | HuggingFaceTB/finemath | |
# 216637 (number)
216,637 (two hundred sixteen thousand six hundred thirty-seven) is an odd six-digits composite number following 216636 and preceding 216638. In scientific notation, it is written as 2.16637 × 105. The sum of its digits is 25. It has a total of 2 prime factors and 4 positive divisors. There are 207,19... | HuggingFaceTB/finemath | |
# Infinite Huffman Tree
We have to derive an optimal binary encoding for the infinite set of symbols $$\{s_1, s_2, \dots \}$$. Their distribution is given by $$p(s_i) = 9 \cdot 10^{-i}$$
My intuition was to use a Huffman encoding. Obviously the Huffman encoding algorithm needs to first find the smallest two elements,... | HuggingFaceTB/finemath | |
Cody
# Problem 29. Nearest Numbers
Solution 1913510
Submitted on 27 Aug 2019 by Abbie Lund
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
A = [30 46 16 -46 35 44 18 26 25 -10]; correct = [8 9]; [i... | HuggingFaceTB/finemath | |
# Prove that G is laying on K and find the ratio of AH to HB.
We are given $Δ$ $ABC$ with $∠C = 90°$ and $AC > BC$. The circle K has a diameter CH (where CH is a height in $Δ$ $ABC$) and intersects with $AC$ in point $P$ and with $BC$ in point $Q$. If $PQ$ bisects $CG$, where $G$ is the centroid of $Δ$ $ABC$, prove th... | HuggingFaceTB/finemath | |
# Closure of Functional Dependency Example and Applications
## Closure of Functional Dependency Example and Applications of Closure –
Closure of a set (X+) is the set of attributes functionally determined by X.
Let S be the set of functional dependencies on relation R. Let X is set of attributes that appear on left ... | HuggingFaceTB/finemath | |
Categories
Greatest Integer | PRMO 2019 | Question 22
Try this beautiful problem from the Pre-RMO, 2019 based on Greatest Integer. You may use sequential hints to solve the problem.
Try this beautiful problem from the Pre-RMO, 2019 based on Greatest Integer.
Greatest integer – PRMO 2019
Find the greatest integer n... | HuggingFaceTB/finemath | |
What is the sum of 4 and 6? What does it mean when someone asks you for the sum of 4 and 6? The sum is part of the addition equation displayed below.
When someone asks "What is the sum of 4 and 6?" they mean that 4 is an addend and 6 is an addend in an addition equation.
Therefore, as you may have inferred, the sum o... | HuggingFaceTB/finemath | |
# Math in Focus Grade 2 Chapter 6 Practice 5 Answer Key Multiplying 10: Skip-counting and Using Dot Paper
Go through the Math in Focus Grade 2 Workbook Answer Key Chapter 6 Practice 5 Multiplying 10: Skip-counting and Using Dot Paper to finish your assignments.
## Math in Focus Grade 2 Chapter 6 Practice 5 Answer Key... | HuggingFaceTB/finemath | |
# I Why do denser objects sink?
1. Oct 12, 2016
### yosimba2000
Column A: Let's assume we have a column of water of height 2m. And also assume water density is 1kg/m^3. Then the pressure at the depth of 1m is pgh = 1*g*1 = g, which means the top 1m of water is pushing down with pressure g, and the water right past 1... | HuggingFaceTB/finemath | |
### Home > MC2 > Chapter 9 > Lesson 9.3.3 > Problem9-113
9-113.
One of the triangles below is a reduction of the other. Find each of the missing parts listed below. 1. Find the length of side BC.
What is the scale factor between the two triangles?
$\frac{120}{15} = \frac{160}{x}$
$x = 20$ cm
2. Find the length ... | HuggingFaceTB/finemath | |
## 587033
587,033 (five hundred eighty-seven thousand thirty-three) is an odd six-digits prime number following 587032 and preceding 587034. In scientific notation, it is written as 5.87033 × 105. The sum of its digits is 26. It has a total of 1 prime factor and 2 positive divisors. There are 587,032 positive integers... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Clock similar to Take the Right Angle:
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### There are 19 results
Broad Topics > Mathematics Tools > Clock
### Take the Right Angle
##### Age 7 to 11 Challenge Level:
How many times in twelve hours do the hands of a c... | HuggingFaceTB/finemath | |
P l a n e G e o m e t r y
An Adventure in Language and Logic
based on
# First Principles
Definitions
IT IS NOT POSSIBLE to prove every statement; we saw that in the Introduction. Nevertheless, we should prove as many statements as possible. Which is to say, the statements we do not prove should be as few as possi... | HuggingFaceTB/finemath | |
# Two ideal Carnot engines operate in cascade (all heat given up by one engine is used by the other engine to produce work) between temperatures, `
Question:
Two ideal Carnot engines operate in cascade (all heat given up by one engine is used by the other engine to produce work) between temperatures, $T_{1}$ and $T_{... | HuggingFaceTB/finemath | |
# Uncategorized
This is the default teaser text option. You can remove or edit this text under your "General Settings" tab. This can also be overwritten on a page by page basis.
## divide and conquer examples in daa
Divide and conquer strategy is as follows: divide the problem instance into two or Divide: Divide the... | HuggingFaceTB/finemath | |
## Archive for July, 2009
### Optimal Account Balancing II
July 28, 2009
Consider a network of $n = 10$ agents, each owing money to and being owed money by other agents. The debts are represented pictorially by the weighted directed graph
which I called an IOU graph on my previous post on this topic. The IOU graph ... | open-web-math/open-web-math | |
# Ambiguity in probability questions
• Feb 26th 2013, 06:26 PM
Paze
Ambiguity in probability questions
I feel that many probability questions are very ambiguous concerning the choice of words. For example:
In a talent show there are 12 contestants. The judges will choose 5 contestants and place them in the top 5 plac... | HuggingFaceTB/finemath | |
# 4.5.1: Fluid Forces on Straight Surfaces
A motivation is needed before going through the routine of derivations. Initially, a simple case will be examined. Later, how the calculations can be simplified will be shown.
Example 4.14
Consider a rectangular shape gate as shown in Figure 4.20. Calculate the minimum forc... | HuggingFaceTB/finemath | |
Rapid Revision For School Students 345 is written three hundred and forty-five.
# Place Value (Year 3)
In KS2 Maths children will learn more about the place value of digits in numbers. This begins in Year Three with children recognising that the values of the digits 0-9 change depending on their position in a number.... | HuggingFaceTB/finemath | |
# Statistics - math problems
#### Number of problems found: 360
• Chi square A manufacturer of phone batteries claims that his batteries' lives are approximately normally distributed with a standard deviation equal to 0.9 years. If a random sample of 10 of these batteries has a standard deviation of 1.2 years. Do you... | HuggingFaceTB/finemath | |
# Four 4's: Urgent help needed
• Dec 6th 2007, 12:01 PM
cheyanne
Four 4's: Urgent help needed
Hey all,
I could really use some help with this one:
Using four 4's and any combination of math operations, represent as many of the whole numbers 1-100 as you can.
I found operations that result in: 1, 2, 3, 5, 6, 8, 9, 1... | HuggingFaceTB/finemath | |
What is the derivative of ln(ln(2x))?
The answer is: $y ' = \frac{1}{x \ln x}$
$y = f \left(g \left(x\right)\right) \Rightarrow y ' = f ' \left(g \left(x\right)\right) \cdot g ' \left(x\right)$.
$y ' = \frac{1}{\ln} \left(2 x\right) \cdot \frac{1}{2 x} \cdot 2 = \frac{1}{x \ln x}$. | HuggingFaceTB/finemath | |
# Triangle Problem- Very Urgent
• Oct 17th 2012, 07:34 PM
Makaveli
Triangle Problem- Very Urgent
Three wooden equilateral triangles of side length 18 inches
are placed on axles as shown in the diagram to the right. Each axle
is 30 inches from the other two axles. A 144-inch leather band is
wrapped around the wooden tr... | HuggingFaceTB/finemath | |
Student[NumericalAnalysis] - Maple Programming Help
Home : Support : Online Help : Education : Student Packages : Numerical Analysis : Computation : Student/NumericalAnalysis/LeadingPrincipalSubmatrix
Student[NumericalAnalysis]
return a leading submatrix of a square matrix
Parameters
A - Matrix; a square matrix ... | HuggingFaceTB/finemath | |
# How do you solve 1/4 (x-8) = 3/4x?
Jun 6, 2018
$x = - 4$
#### Explanation:
$\frac{1}{4} \left(x - 8\right) = \frac{3}{4} x$
Multiply both sides by 4
$x - 8 = 3 x$
Move the $x$ to the right side of the equation
$2 x = - 8$
Divide both sides by 2
$x = - 4$ | HuggingFaceTB/finemath | |
Web Results
## Area of a Circle - Math Goodies
www.mathgoodies.com/lessons/vol2/circle_area.html
Area of a circle is presented in this interactive lesson from Math Goodies. ... or incorrect. To start over, click CLEAR. Use Pi = 3.14 to calculate your answers.
## How to Calculate the Area of a Circle (with Examples)... | HuggingFaceTB/finemath | |
Home » Divided by 7 » 989000 Divided by 7
# 989000 Divided by 7
Welcome to 989000 divided by 7, our post which explains the division of nine hundred eighty-nine thousand by seven to you. 🙂
The number 989000 is called the numerator or dividend, and the number 7 is called the denominator or divisor.
The quotient (in... | HuggingFaceTB/finemath | |
# Math-Calculus
Find the point on the line -2x + 4y + 3 =0 which is closest to the point (-2,1). Note: I have been struggling on this for hours!
1. For hours ???
Slope of the given line is 1/2
so the slope of the line through (-2,1) and perpendicular to it must be -2
equation of that perp.
y = -2x + b, with (-2,1) l... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from feet to millimeters is 304.8, which means that 1 foot is equal to 304.8 millimeters:
1 ft = 304.8 mm
To convert 35.3 feet into millimeters we have to multiply 35.3 by the conversion factor in order to get the length amount from feet to millimeters. We can also form a ... | HuggingFaceTB/finemath | |
# Adding and Subtracting Decimals. Why Do We Need Decimals? It helps makes things exact!
## Presentation on theme: "Adding and Subtracting Decimals. Why Do We Need Decimals? It helps makes things exact!"— Presentation transcript:
Why Do We Need Decimals? It helps makes things exact!
Why Do We Need Decimals? Money: O... | HuggingFaceTB/finemath | |
# Find unique and periodic solution of a two dimensional autonomous system [closed]
Determine the unique non constant periodic solution of the two dimensional system
$$\dot{x}=x-y-x\left(x^2+y^2\right)\\ \dot{y}=x+y-y\left(x^2+y^2\right)$$
and find its characteristic multipliers.
## closed as off-topic by Willie Wo... | HuggingFaceTB/finemath | |
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### 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 | |
# Bias in estimators of population variance
Let $$\{ X_i | i = 1, 2, . . . ,n \}$$ be a sequence of independent and identically distributed (IID) random variables from a population and define $$\mu \equiv \mathbb{E}(X)$$ and $$\sigma^2 \equiv \mathbb{V}(X)$$. Suppose we think that the mean is $$\mu = \mu_0$$ for some ... | HuggingFaceTB/finemath | |
# Linear Transformation as Matrix Product
## Theorem
Let $T: \R^n \to \R^m, \mathbf x \mapsto \map T {\mathbf x}$ be a linear transformation.
Then:
$\map T {\mathbf x} = \mathbf A_T \mathbf x$
where $\mathbf A_T$ is the $m \times n$ matrix defined as:
$\mathbf A_T = \begin {bmatrix} \map T {\mathbf e_1} & \map T ... | HuggingFaceTB/finemath | |
Question: The following table gives a distribution of wages:
Weekly wages: 30-35 35-40 40-45 45-50 50-55 55-60 65-65 65-70
No. of workers: 9 108 488 230 112 30 16 7
An individual is taken at random from the above group. Find the probability (i) his wages were under 40, (ii) his wages were 55 or over, and (iii) his wag... | HuggingFaceTB/finemath | |
# The Normal Distribution
The normal distributions are a very important class of statistical distributions. All normal distributions are symmetric and have bell-shaped density curves with a single peak.
To speak specifically of any normal distribution, two quantities have to be specified: the mean , where the peak of... | HuggingFaceTB/finemath | |
## Solution:
Classic binary search problem. We only consider the positive part. The negative part can be similar.
Let's consider to push boxes to $b_i$. We binary search $a$ with $b_i$ to find the largest $j$ so that $a_j\leq b_i$.
If there is a box at $b_i$. Which means $a_j=b_i$. Then we plus one to the basic resu... | HuggingFaceTB/finemath | |
# How to properly round-up half float numbers?
Hello Guys, How are you all? Hope You all Are Fine. Today We Are Going To learn about How to properly round-up half float numbers in Python. So Here I am Explain to you all the possible Methods here.
## How to properly round-up half float numbers?
1. How to properly rou... | HuggingFaceTB/finemath | |
# Percentages + expression of a variable from the formula - math problems
#### Number of problems found: 72
• Bike cost
The father gave his son € 100 to buy a bicycle, which was 40% of the total amount of the bicycle. How much did the bike cost?
• How many
How many m2 of copper sheet is needed to replace the roof of ... | HuggingFaceTB/finemath | |
# What is the change in flux through a loop that has been rotated?
We have a number of field lines perpendicular to one loop of wire with an area $A = 10\textrm{ cm}^2$. The magnetic field is$B= 7.2\times10^{-5}\textrm{ T}$.
You turn the loop and the flux decreases with 30%. Calculate the angle at which the turn is t... | HuggingFaceTB/finemath | |
# Quick Answer: What Is The Golden Rule In Math?
## How much ground coffee do you use per cup?
4.
Measure the grounds – The standard measurement for coffee is 6 ounces of fresh water to 2 tablespoons ground coffee.
Most coffee lovers will quote a standard “3 tablespoons for 12 fl oz”.
It’s easy to measure out – an... | HuggingFaceTB/finemath | |
# SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Commerce) Maharashtra State Board 2022 chapter 2.7 - Assignment Problem and Sequencing [Latest edition]
## Solutions for Chapter 2.7: Assignment Problem and Sequencing
Below listed, you can find solutions for Chapter 2.7 of ... | HuggingFaceTB/finemath | |
### The milk and water in a mixture are in the ratio 7 : 5. When 15 litres of water are added to it. The ratio of milk and water in the new mixture becomes 7 : 8. The total quantity of water in the new mixture is.
A. 35 litres B. 40 litres C. 60 litres D. 96 litres Answer: Option B
### Solution(By Apex Team)
$\begin... | HuggingFaceTB/finemath | |
June 27, 2019 / By Agas
Question: It's for HW, and I forgot how to do them. I got a few questions here, please answer them and then tell me how you worked it out. Question 1. Find the gradient of the line passing through: a. (-4, 1) and (-2, -4) b. (6, -6), and (-1, 3) c (8, -2) and (-5, 2) Question 2. Write the follow... | HuggingFaceTB/finemath | |
Nephroid
NEPHROID
Balmoral Software
The nephroid is a two-cusped epicycloid S with parametric equations
x(t) = 3cos(t) - cos(3t)
y(t) = 3sin(t) - sin(3t), 0 ≤ t < 2π
This bisymmetric curve is traced out in a counterclockwise direction around the origin, starting from the cusp at (2,0). Its maximum width occurs at t... | HuggingFaceTB/finemath | |
Sequence Space
Get Sequence Space essential facts below. View Videos or join the Sequence Space discussion. Add Sequence Space to your PopFlock.com topic list for future reference or share this resource on social media.
Sequence Space
In functional analysis and related areas of mathematics, a sequence space is a vecto... | HuggingFaceTB/finemath | |
# 14% of 1070000
What is 14 percent of 1070000? What is 1070000 plus 14% and 1070000 minus 14%?
14% of 1070000 = 149800 1070000 + 14% = 1219800 1070000 − 14% = 920200
Calculate online:
% of
Percent formula to figure out percentages:
1070000 ⋅ 14 ÷ 100 = 149800.
So, we got a discount percentage of 149800. If the... | HuggingFaceTB/finemath | |
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# Exam_2_Answers - Miller Kierste Exam 2 Due 11:00 pm Inst...
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Miller, Kierste – Exam 2 – Due: Mar 27 2007, 11:00 pm – Inst: Gary Berg 1 This print-out should have 16 questions. Multiple-choice questi... | HuggingFaceTB/finemath | |
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It is currently 13 Oct 2019, 23:33
### GMAT Club Daily Prep
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Solving the Heat Equation using the Fourier Transform
The Question:
Solve the Heat Equation (for $u = u(x,t)$)
$$\frac{\partial u}{\partial t} = \frac{\partial^2u}{\partial x^2} \qquad u(x,0)=T(x)$$
by applying the Fourier Transform in the $x$ variable, where the function $T$ is defined as
$$T(x) = \begin{cases} 1... | HuggingFaceTB/finemath | |
Factors Homework Extension Year 5 Multiplication and Division | Classroom Secrets
Maths Resources & WorksheetsYear 5 Maths LessonsAutumn Block 4 (Multiplication and Division)02 Factors › Factors Homework Extension Year 5 Multiplication and Division
# Factors Homework Extension Year 5 Multiplication and Division ## S... | HuggingFaceTB/finemath | |
$47,125 in 1913 is worth$521,707.07 in 1986
$47,125 in 1913 has the same purchasing power as$521,707.07 in 1986. Over the 73 years this is a change of $474,582.07. The average inflation rate of the dollar between 1913 and 1986 was 3.48% per year. The cumulative price increase of the dollar over this time was 1,007.07%... | HuggingFaceTB/finemath | |
Counting marbles
In how many ways can you distribute 9 marbles in 3 piles?
The marbles are all identical. I know its not a very deep question but I don't know how to solve it. There is a difference between (pile a getting 4 pile b getting 4 and pile c getting 1) and (pile a getting 1 pile b getting 4 and pile c getti... | HuggingFaceTB/finemath | |
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# Inkjet Printer Power and Rating Problem
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An A4 inkjet printer uses ink cartridges with a mass of 250g sup... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Working systematically similar to Square It:
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Broad Topics > Using, Applying and Reasoning about Mathematics > Working systematically
### Colour in the Square
##### Stage: 2, 3 and 4 Challenge Le... | HuggingFaceTB/finemath | |
• Below you will find some sites that I have found to be very helpful for either further practice or more explanation of topics. Feel free to peruse these sites...
BUT-- Don't forget, you can ALWAYS come to me if you don't understand something!!
Functions:
Systems of Equations:
• A "system" of equations is a set or co... | HuggingFaceTB/finemath | |
Unique character of order 2
"The multiplicative group $$(\mathbb{Z}/p\mathbb{Z})^{\times}$$of reduced residue classes modulo an odd prime p is a cyclic group of (even) order p − 1. Thus it has a unique character of order 2."
Why we only have one character of order 2? What has this to do with the first statement above... | HuggingFaceTB/finemath | |
# Number of Longest Increasing Subsequences
• Difficulty Level : Medium
• Last Updated : 27 Mar, 2023
Given an array arr[] of size N, the task is to count the number of longest increasing subsequences present in the given array.
Examples:
Input: arr[] = {2, 2, 2, 2, 2}
Output: 5
Explanation: The length of the longe... | HuggingFaceTB/finemath | |
# Collisions between an object and a wall
Is momentum conserved when an object bounces back against a wall? The wall doesn’t move, but the object moves in the opposite direction. Assume this is an ideal, elastic collision.
If, initially, the momentum of the system came from the ball, and after the collision, the mome... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from miles to millimeters is 1609344, which means that 1 mile is equal to 1609344 millimeters:
1 mi = 1609344 mm
To convert 1141 miles into millimeters we have to multiply 1141 by the conversion factor in order to get the length amount from miles to millimeters. We can als... | HuggingFaceTB/finemath | |
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Sample Coding Problem
... | HuggingFaceTB/finemath | |
## 740. Delete and Earn
Given an array `nums` of integers, you can perform operations on the array.
In each operation, you pick any `nums[i]` and delete it to earn `nums[i]` points. After, you must delete every element equal to `nums[i] - 1` or `nums[i] + 1`.
You start with 0 points. Return the maximum number of poi... | HuggingFaceTB/finemath | |
# Convergence of $\sum_{n=1}^\infty\frac{n!\, i^n}{n^n}$
I need to study this sum: $$\sum_{n=1}^{\infty} \frac{n!\, i^n}{n^n}$$. Taking: $$\lim_{n\rightarrow \infty} \; \left|\left(\frac{n!\: i^n}{n^n}\right)^{\frac{1}{2}}\right|$$ $$\rightarrow \lim_{n\rightarrow \infty} \left|\left(\frac{n!}{n^n}\right)^{\frac{1}{2}... | HuggingFaceTB/finemath | |
# How do you factorize? (x-3)^2 - (x+4)^2
jeew-m | Certified Educator
We know that;
`A^2-B^2 = (A+B)(A-B)`
Let;
`A = (x-3)`
`B = (x+4)`
`(x-3)^2-(x+4)^2`
`= A^2-B^2`
`= (A+B)(A-B)`
`= (x-3+x+4)(x-3-(x+4))`
`= (2x+1)(-7)`
`= -7(2x+1)` | HuggingFaceTB/finemath | |
# Reciprocal Function – Graph, Definition, Domain and Range
Here you will learn what is reciprocal function with definition, graph and domain and range.
Let’s begin –
## Reciprocal Function
The function that associates a real number x to its reciprocal $$1\over x$$ is called the reciprocal function. Since $$1\over ... | HuggingFaceTB/finemath | |
1. ## Modular arithmetic
Hi everyone!
I am confused about modular arithmetic, even the basis of it.
When it says that 3 ≡ 3 (mod 4), does that mean that 3 : 4 has a reminder of 3? Because 4 x 0 + 3 = 3?
When it says that 3 ≡ 7 (mod 4), does that mean that 3 : 4 also kind of has a reminder of 7? How would that work?
... | HuggingFaceTB/finemath | |
# excel 2007
I have to average students test scores but if they have taken all five tests, I need to drop the lowest score before averaging
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3. 👁 26
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2. I need an excel formula that averages students test scores, dropping the lowest score if all 5 tests are taken
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poste... | HuggingFaceTB/finemath | |
chrisl0lz - 1 year ago 665
Python Question
# Primitive Calculator - Dynamic Approach
I'm having some trouble getting the correct solution for the following problem:
Your goal is given a positive integer n, find the minimum number of
operations needed to obtain the number n starting from the number 1.
More specifica... | HuggingFaceTB/finemath | |
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# Given the differential equation, how to solve the y function with x as the independent variable?
$y\frac{dy}{dx} = x(y^4 + 2y^2 + 1)$
$y = 1$ when $x = 4$
I tired to integrate by substitution, but it doesn't seem to work out.
Write this as
$${1\over 2} 2y {dy\over dx} = x((y^2)^2+2y^2+1)$$
Then you have the LHS... | HuggingFaceTB/finemath | |
# STAT 225 Spring 2011 Final Exam Your Name: Mike (11:30 ...
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• ### Want to know my section 8 inspection results
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STAT 225 ? Spring 2011 Final Exam
Zhaonan (7:30) Mike (11:30) Lin-Yang(2:30)
Zhaonan(8:30) Chris (12:30) Yong (3:30)
Jeff (9:30) Yen-Ning (1:30)
Jeremy (3... | HuggingFaceTB/finemath |
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