question stringlengths 200 50k | answer stringclasses 1
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$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$... | HuggingFaceTB/finemath | |
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A259577 Sum of numbers in the n-th antidiagonal of the reciprocity array of 1. 3
1, 2, 6, 13, 26, 44, 72, 108, 156, 215, 290, 381, 486... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Subtract 4/25 from 3/2
1st number: 1 1/2, 2nd number: 4/25
3/2 - 4/25 is 67/50.
#### Steps for subtracting fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 2 and 25 is 50
Next, find the equivalent fraction of both fractional numbers with... | HuggingFaceTB/finemath | |
# 98694 (number)
98,694 (ninety-eight thousand six hundred ninety-four) is an even five-digits composite number following 98693 and preceding 98695. In scientific notation, it is written as 9.8694 × 104. The sum of its digits is 36. It has a total of 4 prime factors and 12 positive divisors. There are 32,892 positive ... | HuggingFaceTB/finemath | |
# Free math help online
Free math help online can be found online or in math books. Let's try the best math solver.
## The Best Free math help online
This Free math help online supplies step-by-step instructions for solving all math troubles. Another common method is to use graphing. This can be helpful if the inequ... | HuggingFaceTB/finemath | |
# Complex Numbers - an Introduction Many of us find anything to do with numbers complex, not to say downright confusing. We fret our way through school learning more arithmetic, algebra and geometry than most intelligent people would need in a lifetime. That's not to mention the seemingly useless trigonometry and calcu... | HuggingFaceTB/finemath | |
HomeTren&dHow Many Edges Does a Cube Have?
How Many Edges Does a Cube Have?
A cube is a three-dimensional geometric shape that is composed of six square faces, twelve edges, and eight vertices. In this article, we will focus on exploring the number of edges a cube has and delve into the properties and characteristics... | HuggingFaceTB/finemath | |
# Combining Bernoulli distributions
#### b_d
##### New Member
Combining Bernoulli distributions [Solved]
I'm looking for a way to find the standard deviation of a certain distribution. This distribution is created by performing n_0 Bernoulli trials with probability p_0. The number of successes is recorded as n_1. n_... | HuggingFaceTB/finemath | |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 15 Feb 2019, 18:06
### 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.
Customize... | HuggingFaceTB/finemath | |
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}{\| #1 \|}$$ $$\ne... | HuggingFaceTB/finemath | |
## Decimal Digits of 1/π²
This formula may let you compute a decimal digit of $1/\pi^2$ without computing all the previous digits: $\displaystyle{ \frac{1}{\pi^2} = \frac{2^5}{3} \sum_{n=0}^\infty \frac{(6n)!}{n!^6} (532n^2 + 126n + 9) \frac{1}{1000^{2n+1}} }$
It was discovered here:
• Gert Almkvist and Jesús Guille... | HuggingFaceTB/finemath | |
# Algebra
posted by .
Can someone explain to be how to put (x/ (x^2-4)) in another form... please show step by step
thank you!
## Similar Questions
1. ### Algebra help
f(x)=x^3-4x^2-x+4 How do I find the x-intercept for this?
2. ### Algebra
27-f(x)=1/4x^2-2x-12. Can you show me how to find the vertex and x inter... | HuggingFaceTB/finemath | |
You are Here: Home >< Maths
# If a baseball and a bat cost £1.10 together, and the bat costs £1.00 more....
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1. If a baseball and a bat cost £1.10 together, and the bat costs £1.00 more than the ball, how much does the ball cos... | HuggingFaceTB/finemath | |
## Encyclopedia > Characteristic polynomial
Article Content
# Characteristic polynomial
In linear algebra, one associates a polynomial to every square matrix, its characteristic polynomial. This polynomial encodes several important properties of the matrix, most notably its eigenvalues, its determinant and its tra... | HuggingFaceTB/finemath | |
# Clocks (Updated)
The dial of a clock is a circle whose circumference is divided into 12 parts, called hour spaces. Each hour space is further divided into 5 parts, called minute spaces. This way, the whole circumference is divided into 12 X 5 = 60 minute spaces.
The time taken by the hour hand (smaller hand) to co... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from meters per second to miles per hour is 2.2369362920544, which means that 1 meter per second is equal to 2.2369362920544 miles per hour:
1 m/s = 2.2369362920544 mph
To convert 258 meters per second into miles per hour we have to multiply 258 by the conversion factor in... | HuggingFaceTB/finemath | |
How to Calculate Interest Only Payments
Interest only loans made headlines in recent years for their role in the housing crisis. While they are most commonly used to finance real estate, interest only loans can be used to finance the purchase of any asset that appreciates over time. Interest only loan payments differ ... | HuggingFaceTB/finemath | |
The fundamental algebraic operations are addition, subtraction, multiplication, division, and perhaps we should include exponentiation and square root (though of course the square root can be expressed using an exponent). You have long practice with writing expressions using these operators, and are presumably aware of... | HuggingFaceTB/finemath | |
Start typing, then use the up and down arrows to select an option from the list.
## Precalculus
Learn the toughest concepts covered in Precalculus with step-by-step video tutorials and practice problems by world-class tutors
## 4. Exponential and Logarithmic Functions
Logarithmic Functions
## Change From Logarithm... | HuggingFaceTB/finemath | |
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A248607 Least k such that Pi/2 - sum{2^h/((2h+1)*C(2h,h)), h = 1..k} < 1/3^n. 5
1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 22, 23, 25, 26, 28, 30, 31, 33, 34, 36, 37, 39, 40, 42, ... | HuggingFaceTB/finemath | |
# Periodic orbits
Let $x\in\mathbb R$ be a periodic point with lenght 2 of the recursion $x_{n+1}=f(x_n)$
My book about Dynamic systems says that this recursion has a fixed point now, because a periodic point with length 2 exists.
May you could help me to prove this statement?
-
What does length 2 mean? – Amr Nov ... | open-web-math/open-web-math | |
# Propositional Logic
Propositional logic is the core part of most logical formalisms (such as first-order and higher-order logic). It also describes well digital circuits that are the basis of most modern computing devices.
## Importance of Propositional Logic
• Many search problems can be encoded using proposition... | HuggingFaceTB/finemath | |
# Precision of floating point representation
Source: Internet
Author: User
Problem: Required to write a function for converting floating point data to string data. input parameter: Float Var = 8974564.53, output result: String result = "8974564.5300000000" (retain 10 digits after the decimal point ). But in actual en... | HuggingFaceTB/finemath | |
# How do we write 1347 in scientific notation?
Sep 14, 2016
$1347 = 1.347 \times {10}^{3}$
#### Explanation:
In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of $10$.
Note that moving decimal $p$ digits to right is equivalent to... | HuggingFaceTB/finemath | |
# Java Program to Find the Largest Clique in a Planar Graph
• Last Updated : 03 Sep, 2021
Independent set of Graph as a pre-requisite is the set of vertices where no two are adjacent to each other. It is just opposite in definition to clique, Hence knowledge about the complements of a graph is necessary in order to g... | HuggingFaceTB/finemath | |
# Estimation by confidence interval
If we want to estimate the weight of a friend and say «80 kg», we are making an estimate that says nothing about how certain this is so.
On the other hand, if we say: "I am sure that you weigh between 75 and 85 kg", or "I am almost certain that your weight is between 78 and 87 kg»,... | HuggingFaceTB/finemath | |
## 1. Minimal code of a LaTeX presentation
The minimal code of a LaTeX presentation includes: 1) loading the beamer class package, 2) choosing a default presentation theme and a frame.
Here is an example:
% Quick start guide
\documentclass{beamer}
\usetheme{default}
\begin{document}
\begin{frame}
This is your fir... | open-web-math/open-web-math | |
NCERT Questions
Class 10
Chapter 10 Class 10 - Light - Reflection and Refraction
## A concave lens of focal length 15 cm forms an image 10 cm from the lens. How far is the object placed from the lens? Draw the ray diagram.
### Transcript
NCERT Question 11 A concave lens of focal length 15 cm forms an image 10 cm fr... | HuggingFaceTB/finemath | |
# Growing Math Featured Lesson: Rational numbers and decimals
Hello Educators! This is a 7th grade math lesson a part of the resources provided to educators in our Growing Math Project.
## STANDARD
CCSS.MATH.CONTENT.7.NS.A.1Â Apply and extend previous understandings of addition and subtraction to add and subtract ra... | HuggingFaceTB/finemath | |
Conversion formula
The conversion factor from minutes to seconds is 60, which means that 1 minute is equal to 60 seconds:
1 min = 60 s
To convert 243 minutes into seconds we have to multiply 243 by the conversion factor in order to get the time amount from minutes to seconds. We can also form a simple proportion to ... | HuggingFaceTB/finemath | |
### Original Puzzle: Pattern Lock - Combinatorics Puzzle - Number of Possible Passwords
Source: Discussion with Ankush Jain (CSE IITB 2011 Alumnus, Morgan Stanley Analyst) a few months back. Discussion revived by Sangram Raje (CSE IITB 2008 Alumnus, Tower Research Analyst) today.
Problem:
Ever seen a pattern lock in ... | HuggingFaceTB/finemath | |
# IBPS CLERK Prelims Study Planner 2018-Percentage & Averages-Day 8
Dear Bankersdaily Aspirants,
After the SBI PO, SBI CLERK & IBPS PO Exams IBPS Clerk will be the most expected one to crack the banking job for many aspirants.Since Ibps has also changed the exam pattern similar to SBI,we are providing practise sets i... | HuggingFaceTB/finemath | |
Divide and Simplify: 4/ 5 ÷ 2/ 3
Question
Updated 1/13/2014 10:37:04 PM
This conversation has been flagged as incorrect.
Flagged by andrewpallarca [1/13/2014 10:41:35 AM], Followed by yeswey, Unfollowed by yeswey
Original conversation
User: Divide and Simplify: 4/ 5 ÷ 2/ 3
Weegy: It is: 24/5
vandar|Points 911|
Questi... | HuggingFaceTB/finemath | |
In math, addition is the total sum of two or more numbers. It is one of the four basic operations of Arithmetic. Addition is a basic skill that will come in handy all through your life, whether you’re in school or as an adult. When addition is taught to little kids, they’re always taught to add single digits. It’s simp... | HuggingFaceTB/finemath | |
# How do you convert to base 16?
## How do you convert to base 16?
Steps To Convert From Base 10 to Base 16-
1. Divide the given number (in base 10) with 16 until the result finally left is less than 16.
2. Traverse the remainders from bottom to top to get the required number in base 16.
### How do you convert numb... | HuggingFaceTB/finemath | |
Today I'd like to teach you all about one of my all time favorite constants: π!
Most likely, all of you know that π is the ratio of a circle's circumference to its diameter, and probably only know only 3 to 5 decimal digits of it. However, π is an irrational number, meaning it has no end! Let us go through all of the d... | HuggingFaceTB/finemath | |
## Proof of Identity for Differences of Cross Products of Vectors With Curls
Theorem
If {jatex options:inline}\mathbf{v}{/jatex} and {jatex options:inline}\mathbf{w}{/jatex} are vectors then {jatex options:inline}\mathbf{v} \times (\mathbf{\nabla} \times \mathbf{w}) - (\mathbf{w} \times \mathbf{\nabla}) \times \m... | HuggingFaceTB/finemath | |
Stat 5101 notes
# Stat 5101 notes - STAT5101 Lecture Notes 8 • Moment...
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This preview has intentionally blurred sections. Sign up to view the full ve... | HuggingFaceTB/finemath | |
# What is 29 out of 30 as a Percentage?
If you’re like most people, you probably think of percentages as a way to express how much of something there is out of 100. So, if 29 out of 30 is a percentage, what is it equal to?
The answer is 96.7%. To get this answer, simply divide 29 by 30 and then multiply by 100.
29 ÷... | HuggingFaceTB/finemath | |
Sales Toll Free No: 1-866-464-0627
# Scale Factor
Scale Factor as the name suggest is that which scales some quantity or multiplies some quantity. It is one of the most important math concept and also difficult. Therefore this page will guide you with this concept and try to make it easy. The page flows this way, fir... | HuggingFaceTB/finemath | |
compoly - Maple Programming Help
# Online Help
###### All Products Maple MapleSim
compoly
determine a possible composition of a polynomial
Calling Sequence compoly(r) compoly(r, x) compoly(r, {x, ... })
Parameters
r - polynomial x - variable on which the composition will be made
Description
• The func... | HuggingFaceTB/finemath | |
+0
0
47
2
Each of five, standard, six-sided dice is rolled once. Two of the dice come up the same, but the other three are all different from those two and different from each other. The pair is set aside, and the other three dice are re-rolled. The dice are said to show a "full house" if three of the dice show the s... | HuggingFaceTB/finemath | |
# By how many is 30090 less than forty thousand?
Apr 5, 2016
$9910$
#### Explanation:
Thousand means 1000.
Forty means 40.
Forty thousand means
$40 \times 1000 = 40000$
To find out what is 30090 less than 40000, you have to subtract 30090 from 40000.
$40000 - 30090 = 9910$ | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from cubic inches to gallons is 0.0043290043290138, which means that 1 cubic inch is equal to 0.0043290043290138 gallons:
1 in3 = 0.0043290043290138 gal
To convert 1383 cubic inches into gallons we have to multiply 1383 by the conversion factor in order to get the volume a... | HuggingFaceTB/finemath | |
Algebra
posted by on .
Mrs. Lewis plans to drive 900 miles to her vacation destination, driving an average 50 miles per hour. How many miles per hour faster must she average, while driving, to reduce her total driving time by 3 hours?
I'm not sure how to set up the equation. Thanks.
• Algebra - ,
distance = rate x... | HuggingFaceTB/finemath | |
# 0x315 Sequence
## 1. Sequence
This section handles algorithms and data structures related to sequences. I also merged string algorithm in this section, because string is a specific instance of sequence.
### 1.1. Strategies
• Two pointer: maintain a subsequence by recording its left pointer and right pointer Both ... | HuggingFaceTB/finemath | |
# Sequences of random variables and their convergence
One of the central topics in probability theory and statistics is the study of sequences of random variables, that is, of sequences whose generic element is a random variable.
There are several reasons why sequences of random variables are important:
1. Often, we... | HuggingFaceTB/finemath | |
## 557594
557,594 (five hundred fifty-seven thousand five hundred ninety-four) is an even six-digits composite number following 557593 and preceding 557595. In scientific notation, it is written as 5.57594 × 105. The sum of its digits is 35. It has a total of 3 prime factors and 8 positive divisors. There are 275,356 ... | HuggingFaceTB/finemath | |
# Magnitude of the resultant force FR = F1 + F2 8
Determine the magnitude of the resultant force $F_{R} = F_{1} + F_{2}$ and its direction, measured clockwise from the positive u axis.
#### Solution:
Let us draw the vector components. When doing this question, it is highly recommended to draw a very large diagram, o... | HuggingFaceTB/finemath | |
# Search results
1. ### Electric charge of capacitor
Yes gneill, but still that doesn't solve the problem. Does this mean the book didn't give enough data?
2. ### Electric charge of capacitor
Homework Statement Dielectric medium inside capacitor consists of two types (check the pic). Capacitor's plates are connected... | HuggingFaceTB/finemath | |
×
Calculus
# Integral Approximation - Simpson's Rule
Using Simpson's rule, approximate $$\displaystyle{\int_0^1(5x^2+1)dx}.$$
What is the error when approximating $$\displaystyle{\int_0^{6}(6x^2+2x-3)dx}$$ using Simpson's rule?
Approximate $$\displaystyle{\int_{0}^{6}(x^3-x^2-7x-11)dx}$$ using Simpson's rule.
Sam ... | HuggingFaceTB/finemath | |
Users Online Now: 1,823 (Who's On?) Visitors Today: 162,021 Pageviews Today: 218,264 Threads Today: 52 Posts Today: 1,192 01:47 AM
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Message Subject Math: 6÷2(1+2) = ?
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But multiplication and division are on the same level, even the m comes before the d i... | HuggingFaceTB/finemath | |
# Bar Graph Problems
#### Chapter 34 5 Steps - 3 Clicks
# Bar Graph Problems
### Introduction
Bar Graph highlights the salient features of the collected data, facilitate comparisons among two or more sets of data.
The candidate has to understand the given data and solution is to be obtained accordingly.
### Meth... | HuggingFaceTB/finemath | |
# Convert 1 nmi to mm
So you want to convert 1 nautical miles into millimeters? If you're in a rush and just need the answer, the calculator below is all you need. The answer is 1852000 millimeters.
## How to convert nautical miles to millimeters
We all use different units of measurement every day. Whether you're in... | HuggingFaceTB/finemath | |
# 8.6: Exponential Functions
Difficulty Level: At Grade Created by: CK-12
## Learning Objectives
• Graph an exponential function.
• Compare graphs of exponential functions.
• Analyze the properties of exponential functions.
## Introduction
A colony of bacteria has a population of three thousand at noon on Monday. ... | HuggingFaceTB/finemath | |
# Quick Answer: What Is An Example Of Arithmetic?
## What is nth term?
The ‘nth’ term is a formula with ‘n’ in it which enables you to find any term of a sequence without having to go up from one term to the next.
‘n’ stands for the term number so to find the 50th term we would just substitute 50 in the formula in ... | HuggingFaceTB/finemath | |
# How do you solve 3x + \frac { 1} { 2} = \frac { 2} { 3} x - 6?
Mar 25, 2018
$x = - \frac{39}{14}$
#### Explanation:
$3 x + \frac{1}{2} = \frac{2}{3} x - 6$
$3 x - \frac{2}{3} x = - \frac{1}{2} - 6$
$\frac{3 \left(3\right) - 2}{3} x = \frac{2 - 2 \left(12\right)}{2}$ $\Leftarrow$ finding the LCD
$\frac{7}{3} x ... | HuggingFaceTB/finemath | |
# Pendulum
A gravity pendulum (plural pendula) is a weight on the end of a rigid rod (or a string/rope), which, when given an initial push, will swing back and forth under the influence of gravity over its central (lowest) point. A torsion pendulum consists of a body suspended by a fine wire or elastic fiber in such a... | HuggingFaceTB/finemath | |
## Puzzle: Playing chess with dominoes
by Ari Siletz
27-Jul-2010
A chess board can be completely tiled with 32 dominoes in several different ways (a pretty example is given at the bottom of the above image). A harder challenge is to remove the two squares shown and try to tile the chessboard with 31 dominoes. Can you... | HuggingFaceTB/finemath | |
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A cylinder has a diameter of 10 inches and a height of 18 inches. what is the volume of the cylinder A. 450 pie B. 1800 pie C. 180 pie D. 810 pie
$$\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=18 \end{cases}\implies V=\pi (5)^2(18)\im... | HuggingFaceTB/finemath | |
k. Half Subtractor Activity
# k. Half Subtractor Activity - H ALF SUBTRACTOR Name: _...
This preview shows pages 1–3. Sign up to view the full content.
HALF SUBTRACTOR Name: ___________________ Purpose: To build a half subtractor circuit that will accept a two-bit input and give the binary difference and borrow digi... | HuggingFaceTB/finemath | |
# determine the equation of the line tangent to the graph of `y=14e^(9x)` ` `
Asked on by rmunoz90
tiburtius | High School Teacher | (Level 2) Educator
Posted on
Equation of a tangent line at point `(x_0,y_0)` to the graph of `y=f(x)` is
`y-y_0=f'(x_0)(x-x_0)`
So let's calculate `f'(x)`
`(14e^(9x))'=14e^(9x)cdo... | HuggingFaceTB/finemath | |
## How many cubic liters are in a cylinder with a radius of 400 milliliters and a height of 5,000 milliliters
Question
How many cubic liters are in a cylinder with a radius of 400 milliliters and a height of 5,000 milliliters
in progress 0
3 months 2022-02-15T17:59:19+00:00 1 Answer 0 views 0
1. The volume of cylin... | HuggingFaceTB/finemath | |
^
You are here: HomeBlue Series → Multiplication Division 3
# Math Mammoth Multiplication Division 3
115 pages
## Prices & ordering
Printed copy \$16.55
(credit cards, Paypal, PO)
Este libro en español
Math Mammoth Multiplication Division 3 covers multiplication and division related topics, such as the multiplic... | HuggingFaceTB/finemath | |
In mathematics, the slope of a line (m) describes how rapidly or slowly change is occurring and in which direction, whether positive or negative.Linear functions—those whose graph is a straight line—have four possible types of slope: positive, negative, zero, and undefined. Trying to enter the line into the slope equat... | HuggingFaceTB/finemath | |
Q&A
# a triangle with 2 obtuse angles
No a triangle cannot have 2 obtuse angles as sum of the angless of a triangle is 180 .
• ### Obtuse Triangle – Definition, Formulas, Properties, Examples
https://www.cuemath.com › geometry
https://www.cuemath.com › geometry
Similarly, a triangle cannot be both an obtuse and a ... | HuggingFaceTB/finemath | |
Knowledge Base
Search and find technical support
# Numbering systems, Decimal, Binary, Hexadecimal and ASCII
A numbering system is a systematic way to represent numbers using a particular set of symbols.
### Position Notation
All the numbering systems are positional systems. that's, the value of any symbol depends ... | HuggingFaceTB/finemath | |
# Examples for 7th grade (seventh)
#### Number of examples found: 1974
• Half-filled A cylindrical pot with a diameter of 24 cm is half-filled with water. How many centimeters will the level rise if we add a liter of water to it?
• Average speed The average speed of a pedestrian who walked 10 km was 5km/h, the averag... | HuggingFaceTB/finemath | |
## Precalculus (6th Edition) Blitzer
The solution set of the given system of equations is $\left( {{e}^{1}},{{e}^{-1}},{{e}^{2}}\text{ and }{{e}^{-3}} \right)$.
The solution set of the given system of equations is $\left( {{e}^{1}},{{e}^{-1}},{{e}^{2}}\text{ and }{{e}^{-3}} \right)$. It is provided that, $\ln w=A,\ln ... | HuggingFaceTB/finemath | |
Contents
# Contents
## Idea
The sine function $\sin$ is one of the basic trigonometric functions.
It may be thought of as assigning to any angle the distance to a chosen axis of the point on the unit circle with that angle to that axis.
## Definitions
The sine function is the function $\sin \;\colon\; \mathbb{R} ... | HuggingFaceTB/finemath | |
# Answers
Solutions by everydaycalculation.com
## Reduce 660/162 to lowest terms
The simplest form of 660/162 is 110/27.
#### Steps to simplifying fractions
1. Find the GCD (or HCF) of numerator and denominator
GCD of 660 and 162 is 6
2. Divide both the numerator and denominator by the GCD
660 ÷ 6/162 ÷ 6
3. Reduc... | HuggingFaceTB/finemath | |
# Search Exponent Educational Resources
37 filtered results
37 filtered results
Exponents
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Order of Operations: PEMDAS
Interactive Worksheet
Order of Operations: PEMDAS
This fifth- and sixth-grade math worksheet is a great way to give learners practice using the acronym PEMDAS to follow the correct order of ope... | HuggingFaceTB/finemath | |
# Physics
Firemen are shooting a stream of water at a burning building. A high-pressure hose shoots out the water with a speed of 21.0 m/s as it leaves the hose nozzle. Once it leaves the hose, the water moves in projectile motion. The firemen adjust the angle of elevation of the hose until the water takes 3.00 s to r... | HuggingFaceTB/finemath | |
# Seeking help simplifying this EOM equation
I am working on solving the equation of motion for a particular system. It has been a long time since I've worked with matrix equations and need help in simplifying the following:
$\frac{d}{dt}$$(I_G\omega)$ + $\omega \times(I_G\omega)$ + $My\times [(−\dot\omega\times y)$−... | HuggingFaceTB/finemath | |
# 1. Fill in the blanks:(a) 1 lakh = _______ ten thousand.(b) 1 million = _______ hundred thousand.(c) 1 crore = _______ ten lakh.(d) 1 crore = _______ million.(e) 1 million = _______ lakh.
Let us take this as a physical world problem:
You went to a shop and you bought a toy of Rs. 100. You checked your pocket and fo... | HuggingFaceTB/finemath | |
# Types of Numbers
Numbers are understood as the abstract entities with which magnitudes are represented that may well be quantities, distances, indicate an order, as well as the signs that represent them, which are also called figures.
They are abstract tools that we use to represent various sets of objects and to c... | HuggingFaceTB/finemath | |
Question
# 1. Assume the total expense for your current year in college equals \$25,000. Approximately how much...
1. Assume the total expense for your current year in college equals \$25,000. Approximately how much would your parents have needed to invest 25 years ago in an account paying 4.5% compounded annually to... | HuggingFaceTB/finemath | |
Home / The science / Mathematics How to find a right angle
# How to find the right angle
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There are several geometric definitionsRight angle: - right angle? This is an adjacent angle or angle that is equal to the adjacent angle-the right angle is the angle that is equal to 90 degrees. To calculate t... | HuggingFaceTB/finemath | |
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# The value of $\;\mathop {\lim }\limits_{x \to 0} \left[ {\min ({y^2} - 4y + 11)\dfrac{{\sin x}}{x}} \right]$where $[.]$ denotes the greatest integer function) is,A. $5$ B. $6$ C. ... | HuggingFaceTB/finemath | |
SEARCH HOME Math Central Quandaries & Queries Question from Dale: I'm needing to find the square footage of an irregular pentagon. I've seen the other questions similar to this one, but without a great deal of difficulty can't get you the angle degrees, or the length between opposing angles. I'm hoping that a diffe... | HuggingFaceTB/finemath | |
# What is the domain and range of y = (x^2 + 4x + 4)/( x^2 - x - 6)?
Jul 4, 2017
See below.
#### Explanation:
Before we do anything, let's see if we can simplify the function by factoring the numerator and denominator.
$\frac{\left(x + 2\right) \left(x + 2\right)}{\left(x + 2\right) \left(x - 3\right)}$
You can s... | HuggingFaceTB/finemath | |
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GCE Examinations
Statistics Module S2
Paper C
Time: 1 hour 30 minutes
Instructions and Information
Candidates may use any calculator except those with a facility for symbolic algebra and / or calculus.
Full marks may be obtained for answers to ALL questions.
Mathematical and statist... | HuggingFaceTB/finemath | |
# Similar and Dissimilar Surds
We will discuss about similar and dissimilar surds and their definitions.
Definition of Similar Surds:
Two or more surds are said to be similar or like surds if they have the same surd-factor.
or,
Two or more surds are said to be similar or like surds if they can be so reduced as to ... | HuggingFaceTB/finemath | |
# 1)Find the sixth term of the geometric sequence for which a1=5 and r=3 A)1215 B)3645 C)9375 D)23 I chose A 2)Write an equation for the nth term of the geometric sequence -12,4,-4/3... A)aN=-12(1/3)n-1 B)aN=12(-1/3)n-1 C)aN=-12(-1/3)-n+1 D)aN=-12(-1/3)n-1 I chose C 3)Find
92,916 questions, page 481
1. ## Algebra
My ... | HuggingFaceTB/finemath | |
# 30 days in seconds
## Conversion
30 days is equivalent to 2592000 seconds.
## Conversion formula How to convert 30 days to seconds?
We know (by definition) that: $1\mathrm{d}=86400\mathrm{sec}$
We can set up a proportion to solve for the number of seconds.
$1 d 30 d = 86400 sec x sec$
Now, we cross mul... | HuggingFaceTB/finemath | |
Reddit: u/CitizenYellow
Watching someone solve a Rubik’s Cube has always amazed me, especially if they do it in less than 10 turns. It’s impressive, and I’m pretty sure they aren’t human. So when I was on YouTube surfing the interwebs, I decided to look up ‘How to solve the Rubik’s Cube’ because, like any person who h... | HuggingFaceTB/finemath | |
# find the equation of a straight line passes through a point (2,3) which makes x-intercept double the y-intercept.
Dear Student,
Solution)
Let the equation makes an intercept of 'a' with axis.
Therefore, intercept on x - axis = 2a.
The equation of the line is given by
$\frac{x}{2a}+\frac{y}{a}=1\phantom{\rule{0ex}{0e... | HuggingFaceTB/finemath | |
# Understanding divison by monic polynomial in $R[x]$ where $R$ is an arbitrary ring
I read "Algebra: Chapter 0" by P.Aluffi. I encountered a topic where it says you can divide any polynomial in $$R[x]$$($$R$$ is any ring) by a monic polynomial(that is, a polynomial of the form $$x^d + \sum\limits_{i=0}^{d-1} a_i x^{i... | HuggingFaceTB/finemath | |
# Pre-Calculus
A rectangular garden with an area of 250 square meters is to be located next to a building and fenced on three sides, with the building acting as a fence on the fourth side. Let x be the length of the side parallel to the building.
1. Find T(x), the total amount of the fence needed to enclose the garde... | HuggingFaceTB/finemath | |
# 1963. Minimum Number of Swaps to Make the String Balanced
## Description
You are given a 0-indexed string s of even length n. The string consists of exactly n / 2 opening brackets '[' and n / 2 closing brackets ']'.
A string is called balanced if and only if:
• It is the empty string, or
• It can be written as AB... | HuggingFaceTB/finemath | |
What is 40 percent off 520 dollars? If something costs \$520 and is on sale for 40% off, then how much would it cost? Here we will show you how to calculate how much you save (discount) and how much you have to pay if something you want to buy is regularly \$520, but is currently on sale for 40 percent off.
There are ... | HuggingFaceTB/finemath | |
# What is Average value: Definition and 107 Discussions
In colloquial language, an average is a single number taken as representative of a non-empty list of numbers. Different concepts of average are used in different contexts. Often "average" refers to the arithmetic mean, the sum of the numbers divided by how many n... | HuggingFaceTB/finemath | |
A
# analysis
Analysis is a major branch of mathematics that has to do with approximating certain mathematical objects, such as numbers or functions, by other objects that are easier to understand or to handle. A simple example of analysis is the calculation of the first few decimal places of π by writing it as the li... | HuggingFaceTB/finemath | |
## College Algebra 7th Edition
Since it takes Candy 70 mins to deliver all the papers, she delivers $\frac{1}{70}$ of the papers in 1 min. Since it takes Tim 80 mins to deliver all the papers, he delivers $\frac{1}{80}$ of the papers in 1 min. Working together, they can deliver $\frac{1}{70} + \frac{1}{80} = \frac{3}{... | HuggingFaceTB/finemath | |
## Saturday, March 24, 2007
### Computing Your Annual Rate of Return
Once you have your total return index computed it's real easy to compute your annual rate of return for any period you choose. Here is my total return index for the last couple of years: To compute the annual return for 2006 we just divide the index... | HuggingFaceTB/finemath | |
# Difference between revisions of "CDS 140a Winter 2014 Homework 9"
R. Murray Issued: 4 Mar 2014 (Tue) ACM 101b/AM 125b/CDS 140a, Winter 2014 Due: 12 Mar 2014 (Wed) @ noon
__MATHJAX__
WARNING: This homework set is still in preparation. This banner will be removed when it is finalized.
Note: In the upper left hand... | HuggingFaceTB/finemath | |
# Prove my algorithm that solves ABC String problem in Codeforces is correct
Here's the statements of problem A, "ABC String" in Educational Codeforces Round 105 (Rated for Div. 2)
You are given a string a, consisting of n characters, n is even. For each i from 1 to n $$a_i$$ is one of 'A', 'B' or 'C'.
A bracket seq... | open-web-math/open-web-math | |
# Math 165 Section A Professor Lieberman September 1, 2004 PRACTICE FIRST IN-CLASS EXAM
```Math 165 Section A
Professor Lieberman
September 1, 2004
PRACTICE FIRST IN-CLASS EXAM
CLOSED BOOK! SHOW ALL WORK!
This test merely shows the number of questions and difficulty to expect on Friday’s exam.
Questions on other topic... | HuggingFaceTB/finemath | |
# Solving equation using mathematica
How I can solve the equation :
$$R -\tan^{-1}[(m1/m3)*(k3/k1)] - \tan^{-1}[(m1/m2)*(k2/k1)]=0$$
I tried on it using findroot as following :
$$F = 0.56; w0 = 4*10^9*3.14; wp = 10*10^9*3.14; gama = 0.03*wp; T = 0.03*w0; e1 = -3.7; m1 = -1; e2 = 1; m2 = 1; e3 = -9.5; m3 = 1; w = 4.... | HuggingFaceTB/finemath | |
# Powers of Natural Numbers
A power is an abbreviated form of writing a multiplication formed by several equal factors.
5 · 5 · 5 · 5 = 54
#### Base
The base of a power is the number that multiplies by itself, in this case, 5.
#### Exponent
The exponent of a power indicates the number of times to multiply the bas... | HuggingFaceTB/finemath |
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