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# A flower-bed in the form of a sector has been fenced by a wire of 40m length. If the flower-bed has the greatest possible area, then what is the radius of the sector?
Free Practice With Testbook Mock Tests
## Options:
1. 25 m
2. 20 m
3. 10 m
4. 5 m
### Correct Answer: Option 3 (Solution Below)
This question w... | open-web-math/open-web-math | |
## Precalculus (10th Edition)
$(x+1)(x+10)$
To factor trinomials in the form $x^{2}+bx+c$, we look for two factors of $c$, say $m$ and $n$, whose sum is equal to $b$. The factored form of the trinomial then would be $(x+m)(x+n)$. The given trinomial has $c=10$ and $b=11$. The two factors of $10$ whose sum is $11$ are ... | HuggingFaceTB/finemath | |
Interview Questions
Quickly calculate the cube root of 6 digit numbers
The is a clever interview question that asks you to calculate the cube root of a number quickly. We can solve this by some mathematical tricks that won't require any calculates to take place, only table lookups. This algorithm will focus on calcula... | HuggingFaceTB/finemath | |
## 1.1 Functions from the Numerical and Algebraic Viewpoints
(This topic is also in Section 1.1 in Finite Mathematics, Applied Calculus and Finite Mathematics and Applied Calculus)
For best viewing, adjust the window width to at least the length of the line below.
Let us start by looking at the definition in the tex... | HuggingFaceTB/finemath | |
## 1.88E+10
When you first glance at “1.88E+10”, it might seem like a bizarre combination of numbers and letters, but I’m here to tell you that it’s not as complicated as it looks. In fact, it’s simply scientific notation, a way of expressing very large or very small numbers in a more compact and manageable form.
Let... | HuggingFaceTB/finemath | |
# Limit exists or not? $\lim \limits_{n \to\infty}\ \left[n-\frac{n}{e}\left(1+\frac{1}{n}\right)^n\right]$
Determine whether or not the following limit exists, and find its value if it exists: $$\lim \limits_{n \to\infty}\ \left[n-\frac{n}{e}\left(1+\frac{1}{n}\right)^n\right]$$
I think the limit of $\left(1+\frac{1... | HuggingFaceTB/finemath | |
Question 90
# In a factory, each day the expected number of accidents is related to the number of overtime hour by a linear equation. Suppose that on one day there were 1000 overtime hours logged and 8 accidents reported and on another day there were 400 overtime hours logged and 5 accidents. What is the expected numb... | HuggingFaceTB/finemath | |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
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# How do I find the nth root of a complex number?
Jan 16, 2015
To evaluate the $n t h$ root of a complex number I would first convert it into trigonometric form:
$z = r \left[\cos \left(\theta\right) + i \sin \left(\theta\right)\right]$
and then use the fact that:
${z}^{n} = {r}^{n} \left[\cos \left(n \cdot \theta\ri... | HuggingFaceTB/finemath | |
# Bijection
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
$\def\Id {\mathop{\rm Id}}$
A function (or mapping) is called bijective if it is both one-to-one and onto, i.e., if it is both injective and surjective.
In other words, a function $f : A \to B$ from a set $A$ to a set $B$ is
a b... | HuggingFaceTB/finemath | |
# IF Function multiple possible outcomes?
1. ## IF Function multiple possible outcomes?
I am filling in a players FOR and AGAINST goals prediction for a soccer league in columns C and D respectively. Am putting in the actual FOR and AGAINST score in columns G and H. I want the outcome to be in column Q following the ... | HuggingFaceTB/finemath | |
# What is the sqrt(80/45)?
Sep 11, 2015
$\sqrt{\frac{80}{45}} = \frac{4}{3}$
$\sqrt{\frac{80}{45}}$
$\textcolor{w h i t e}{\text{XXX}} = \sqrt{\frac{16}{9}}$
$\textcolor{w h i t e}{\text{XXX}} = \frac{\sqrt{16}}{\sqrt{9}}$
$\textcolor{w h i t e}{\text{XXX}} = \frac{4}{3}$ | HuggingFaceTB/finemath | |
# math
. A respondent tells you she just bought living room carpet
which is 20 feet long by 15 feet wide. If carpet is \$6.00 per
square foot, how much did the new carpet cost?
1. 👍
2. 👎
3. 👁
1. 20*15*6.00 = ?
1. 👍
2. 👎
2. 50
1. 👍
2. 👎
3. 1,800
1. 👍
2. 👎
## Similar Questions
1. ### vocab
The living roo... | HuggingFaceTB/finemath | |
### Home > INT3 > Chapter 2 > Lesson 2.2.1 > Problem2-39
2-39.
Simplify each expression. Refer to the Math Notes box in this lesson for help.
1. $\sqrt { 24 }$
Remove any perfect square factors.
$\sqrt{4 \cdot 6}$
$2\sqrt{6}$
1. $\sqrt { 18 }$
See part (a).
1. $\sqrt{3}+\sqrt{3}$
Remember that radicals can be... | HuggingFaceTB/finemath | |
# Force on a charge inside a hollow charged sphere
Gold Member
## Homework Statement
What is the force on a point charge q1 contained inside a hollow conductive sphere (or fine grid) with charge q2 and radius R?
## Homework Equations
Coulomb F=k q1q2/r^2
Gauss Law/method of closed surface: Integral over closed sur... | HuggingFaceTB/finemath | |
+1-415-315-9853
info@mywordsolution.com
## Statistics
Probability based on Geometric distribution.
Mr. Nerdly, the long-time AP Statistics teacher at Galton High, always assigns ten problems for homework. On day, he decides to make an unusual offer to his class. "My little cherubs," he says, "I have a proposition f... | HuggingFaceTB/finemath | |
# Source Conversion of ac Circuits
Whatsapp
Source conversion is a method in AC circuits that simplifies complicated circuits by changing voltage sources to current sources or vice versa.
When applying the methods to be discussed, it may be necessary to convert a current source to a voltage source, or a voltage source... | HuggingFaceTB/finemath | |
# Machine LearningLikelihood Ratio Classification
In this section, we will continue our study of statistical learning theory by introducing some vocabulary and results specific to binary classification. Borrowing from the language of disease diagnosis, will call the two classes positive and negative (which, in the med... | HuggingFaceTB/finemath | |
Uploaded by Christian Lawrence Cantos
# Library Work Cantos
```Christian Lawrence C. Cantos
METE260
Library Work (Robot Motion Analysis)
1. Discuss the forward and backward kinematics of a 2D Manipulator.
- Forward kinematics involves calculating the position of the end-effector given the joint
parameters namely the ... | HuggingFaceTB/finemath | |
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## College Algebra
by: Alvena McDermott
66
0
10
# College Algebra MATH 1310
Alvena McDermott
UH
GPA 3.69
Beatrice Constante
These notes were just uploaded, and will be ready to view shortly.
Either way, we'll remind you when... | HuggingFaceTB/finemath | |
# Algebra
Hi I am learning about rational expression and so far I am pretty good at multiplying. My question is how do you divide?
Here is a problem that I am having trouble with..
6p-18 3p-9
----- / ----
9p p²+2p
This is what I have so far
6(p-3) 3(p-3)
------ / ------
9p p(p+2)
Can you show me what is next? Tha... | HuggingFaceTB/finemath | |
# Set of Codes for URM Programs is Primitive Recursive
## Theorem
Let $\operatorname{Prog}$ be the set of all code numbers of URM programs.
Then $\operatorname{Prog}$ is a primitive recursive set.
## Proof
A natural number $n$ codes a URM program if and only if it codes a sequence of positive integers which are th... | HuggingFaceTB/finemath | |
# How Newton's laws of motion impact real life: Exploring fun and engaging examples
Newton's laws of motion, formulated by Sir Isaac Newton in the 17th century, are fundamental principles that explain the motion of objects in the physical world. These laws have far-reaching applications and can be observed in various ... | HuggingFaceTB/finemath | |
Homework 5, ECE438, Fall 2011, Prof. Boutin
Question 1
Diagram of "decimation by two" FFT computing N-pt DFT. N=8 in this question.
where $W_N^k = e^{-j2\pi k/N}$
Recall the definition of DFT:
$X[k]=\sum_{n=0}^{N-1} x[n]e^{-j2\pi k/N},\ k=0,...,N-1$.
For each k, we need N times complex multiplications and N-1 tim... | HuggingFaceTB/finemath | |
# First point of difference rule 1,6-dimethylcyclohex-1-ene [duplicate]
According to the first point of difference rule, second one should be correct right?
## marked as duplicate by Loong♦ organic-chemistry StackExchange.ready(function() { if (StackExchange.options.isMobile) return; $('.dupe-hammer-message-hover:not... | open-web-math/open-web-math | |
LESSON 2: What does ‘equation’ mean?
Introduction to Elementary AlgebraHelp on solving algebra math problemsSimple step by step method
An equation looks like this
And your main goal is to solve the equation so you get the
value of the x (not known at this time) that makes the
formula correct.
You will learn later tha... | HuggingFaceTB/finemath | |
# Further Examples of Divisibility Criteria
Subject: Divisibility criteria. Thu, 23 Sep 1999 19:21:50 -0400 Isaak Rudman
Hello!
I am not specialist in mathematics, but like to play with numbers. Was curious whether divisibility criteria by 7, 11, 13, 17, 19 and other simple numbers can be developed.
Those are some ... | HuggingFaceTB/finemath | |
# Standard and Normal Excel Distribution Calculations
NORM.DIST and NORM.S.DIST
Nearly any statistical software package can be used for calculations concerning a normal distribution, more commonly known as a bell curve. Excel is equipped with a multitude of statistical tables and formulas, and it is quite straightfor... | HuggingFaceTB/finemath | |
# HELP! Related Rates Question: Light/Shadow
#### jen333
Hey, I have this one practise calculus question that I just can't seem to get. Any help would be greatly appreciated:
A light is on the ground 40ft from a building. A man 6ft tall walks from the light towards the building at 6ft/s. How rapidly is his shadow on... | HuggingFaceTB/finemath | |
Fill array with 1’s using minimum iterations of filling neighbors
Given an array of 0s and 1s, in how many iterations the whole array can be filled with 1s if in a single iteration immediate neighbors of 1s can be filled.
NOTE: If we cannot fill array with 1s, then print “-1” .
Examples :
Input : arr[] = {1, 0, 1, ... | HuggingFaceTB/finemath | |
# 5 Gallons To Pounds
5 Gallons To Pounds. Web the answer is: Web depends on what the liquid is, 5 gallons of water weigh 41.6lbs, 5 gallons of petrol weigh 30.5lbs. Gallon (gal) is a unit of volume used in cooking. Take your 400 gallons and multiply by 8 pounds per. Any other liquid with a different specific gravity ... | HuggingFaceTB/finemath | |
+0
# Algebra
+10
95
2
Can someone find the solutions and the magnitudes of the following problems(This is from my complex numbers unit):
1. (x^4)-1=0
2. (x^3)+1=0
3.(x^3)-1=0
4.(x^6)-1=0
5.(x^6)+1=0
Thank You!
Guest Feb 24, 2017
Sort:
#1
0
1) -
Solve for x:
x^4 - 1 = 0
x^4 = 1
Taking 4^th roots gives 1 t... | HuggingFaceTB/finemath | |
Place Value Table
Chapter 8 Class 6 Decimals
Serial order wise
### Transcript
Question 4 Write each of the following as decimals: (k) 4 1/2 4 1/2 = (4 × 2 + 1)/2 = (8 + 1)/2 = 9/2 = 9/2 × 5/5 = 45/10 = 4.5 | HuggingFaceTB/finemath | |
# How Do You Calculate Dragster Deceleration Time and Distance?
• Casey Wilson
In summary, the problem involves a dragster accelerating at 8 m/s^2 for 4.6 seconds and then decelerating to a stop in 100m. The formula x = 0 + 1/2at^2 is used to find the distance traveled in the first part, while a second equation relati... | HuggingFaceTB/finemath | |
# What is Taylor Series
Suppose you need to calculate $\sin{138}$ and don’t have a calculator at hand. How’d you do that? The way out is to approximate your function with something more convenient to work with, for example, polynomials: $x, x^2, x^3$ and so on. In this section, we’re going to discuss Taylor series whi... | HuggingFaceTB/finemath | |
## What is a weighted grade?
A weighted grade is one in which all the assessments in a course have different degrees of importance, or "weight." For example, a course may involve homework, quizzes, exams, projects, presentations, and more. Typically, exams have a larger weight than quizzes and homework, since exam res... | HuggingFaceTB/finemath | |
# What is a moment?
The concept of a moment (or force moment) is that of a force at a distance. It not only measures how strong the force is but also how far away it is applied (for rotational purposes).
Consider s see-saw with a bear and a skunk.
In order to quantify the idea of "balance" you need a description of ... | HuggingFaceTB/finemath | |
# 分部求和法
${\displaystyle \sum _{k=m}^{n}f_{k}(g_{k+1}-g_{k})=\left[f_{n+1}g_{n+1}-f_{m}g_{m}\right]-\sum _{k=m}^{n}g_{k+1}(f_{k+1}-f_{k})}$.
${\displaystyle \sum _{i=m+1}^{n}\left(b_{i}-b_{i-1}\right)a_{i}+\sum _{i=m+1}^{n}\left(a_{i}-a_{i-1}\right)b_{i-1}=a_{n}b_{n}-a_{m}b_{m}=\sum _{i=m+1}^{n}\left(b_{i}-b_{i-1}\rig... | HuggingFaceTB/finemath | |
In this guide, we’re going to show you how to calculate compound interest in Excel.
## Compound interest
Compound interest means "interest on the interest", which defines the interest calculation based on both the initial principal and the accumulated interest from previous periods.
For example, if you get interest ... | HuggingFaceTB/finemath | |
It is currently 23 Nov 2017, 13:39
### 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.
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we will pick new questions that match your level based o... | HuggingFaceTB/finemath | |
# Resources tagged with: Addition & subtraction
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### Big Dog, Little Dog
##### Age 5 to 7 Challenge Level:
Woof is a big dog. Yap is a little dog. Emma has 16 dog biscuits to give to the two dogs. She gave Woof 4 more biscuits than Yap. How many biscuits did each ... | HuggingFaceTB/finemath | |
# You asked: Why does a filament lamp not obey Ohm’s law?
Contents
The tungsten filament in the bulb does not follow Ohm’s law. As the voltage in the wire filament increases it heats up. The resistance of a wire changes as its temperature changes. … Often if extreme currents are applied to wires, they heat up, change... | HuggingFaceTB/finemath | |
# Compounded Quarterly
Money borrowed today is to be paid in 6 equal payments at the end of 6 quarters. If the interest is 12% Compounded Quarterly. How much was initially borrowed if quarterly payment is $2000 Answer is$10834.38
I've tried the Compound Interest Formula:
A = P(1+r/n)^nt
2000 = P(1+0.12/4)^(4*(6/4))
... | HuggingFaceTB/finemath | |
# Cube Root of 817
The cube root of 817 is the number, which multiplied by itself three times, is 817.
In other words, the cube of this number equals eight hundred and seventeen.
If you have been looking for cube root of eight hundred and seventeen, then you are right here, too.
On this page we also show you what t... | HuggingFaceTB/finemath | |
# Wave Motion
[SOLVED] Wave Motion
1. Homework Statement
A transverse wave on a string is described by the following wave function.
y = (0.115 m) sin [(x/10 + 3t)]
(a) Determine the transverse speed and acceleration at t = 0.240 s for the point on the string located at x = 1.70 m.
(b) What are the wavelength, perio... | HuggingFaceTB/finemath | |
Leetcode: 4Sum
4Sum
Similar Problems:
Given an array S of n integers, are there elements a, b, c, and d in S such that a + b + c + d = target? Find all unique quadruplets in the array which gives the sum of target.
Note: The solution set must not contain duplicate quadruplets.
```For example, given array S = [1, 0... | HuggingFaceTB/finemath | |
##### The scalar product of the vector a unit vector along the sum of vectors and is equal to one. Find the value of λ.
Given: given vectors are
Then sum of vector is given by the resultant of .
Let the sum is .
Then
Then magnitude of is :
Scalar product of
Square on both sides:
(λ + 6)2 = (λ)2 + 4λ + 44
(λ)2 ... | HuggingFaceTB/finemath | |
[37 views]
# Algorithm and Flowchart to Find GCD of Two numbers
### What is GCD?
GCD stands for Greatest Common Divisor. So GCD of 2 numbers is nothing but the largest number that divides both of them.
Example: Lets say 2 numbers are 36 and 60. Then
36 = 2*2*3*3
60 = 2*2*3*5
GCD=2*2*3
i.e GCD=12
GCD is also known a... | HuggingFaceTB/finemath | |
Q:
# will give brainliest + lots of points !The students at Kayla's school are forming teams of three students for a quiz bowl competition. Kayla is assuming that each member of a team is equally likely to be male or female. She uses a coin toss (heads = female, tails = male) to simulate this probability. Here is Kayl... | HuggingFaceTB/finemath | |
As understood, feat does not suggest that you have astounding points. An example to find the probability using the Poisson distribution is given below: Example 1: A random variable X has a Poisson distribution with parameter l such that P (X = 1) = (0.2) P (X = 2). Then, if the mean number of events per interval is The... | HuggingFaceTB/finemath | |
# Gimli Glider
Aircraft Boeing 767 lose both engines at 42000 feet. The plane captain maintain optimum gliding conditions. Every minute, lose 1910 feet and maintain constant speed 211 knots.
Calculate how long it takes to plane from engine failure to hit the ground. Calculate how far the pilot glide plane.
1 foot = ... | HuggingFaceTB/finemath | |
# Please explain the forces that allow one team to win a Tug-O-War contest.
#### Please explain the forces that allow one team to win a Tug-O-War contest. — ES
If we neglect the mass of the rope, the two teams always exert equal forces on one another. That’s simply an example of Newton’s third law—for every force tea... | HuggingFaceTB/finemath | |
BrainDen.com - Brain Teasers
## Recommended Posts
Weighing VIII. - Back to the Water and Weighing Puzzles
Suppose that the objects to be weighed may range from 1 to 121 pounds at 1-pound intervals: 1, 2, 3,..., 119, 120 and 121. After placing one such weight on either of two weighing pans of a pair of scales, one or... | HuggingFaceTB/finemath | |
# How do you find the derivative of y= log _ 10 x/x?
Jan 11, 2016
$\frac{\mathrm{dy}}{\mathrm{dx}} = \frac{1 - \ln \left(x\right)}{{x}^{2} \ln \left(10\right)}$
Step by step explanation is given below
#### Explanation:
Interesting question! To find derivative of $y = {\log}_{10} \frac{x}{x}$
Most people would be ... | HuggingFaceTB/finemath | |
# Suppose that A & b are mutually exclusive events. Then P(A)=.3 and P(B)=.5. What is the probability that either A or B occurs? A occurs but b doesn't. Both A and B occur. 1) Since the are mutually exclusive: P(A∪B)=P(A)+P(B)=.3+.5=.8 2) A occurs but B does not: .3 3) Both A and B occur: Since they are mutually exclus... | HuggingFaceTB/finemath | |
# Chapter 13 Physical Science.
## Presentation on theme: "Chapter 13 Physical Science."— Presentation transcript:
Chapter 13 Physical Science
Preview Section 1 Gravity: A Force of Attraction
Chapter 13 Forces and Motion Preview Section 1 Gravity: A Force of Attraction Section 2 Gravity and Motion Section 3 Newton's... | HuggingFaceTB/finemath | |
Open In App
# Check if a number is a Krishnamurthy Number or not
A Krishnamurthy number is a number whose sum of the factorial of digits is equal to the number itself.
For example, 145 is the sum of the factorial of each digit.
1! + 4! + 5! = 1 + 24 + 120 = 145
Examples:
```Input : 145
Output : YES
Explanation: 1! ... | HuggingFaceTB/finemath | |
## Some Simple Excel Functions
There are many, many Excel functions available, but initially the following functions might prove useful:
Some of the following are functions that take a range, like $C3:C7$ or something similar. For the examples discussed below, we use $R$ and $R_i$ to denote ranges of cells. Further... | HuggingFaceTB/finemath | |
HSPT Math Practice Test Questions
Preparing for the HSPT Math test? Try these free HSPT Math Practice questions. Reviewing practice questions is the best way to brush up your Math skills. Here, we walk you through solving 10 common HSPT Math practice problems covering the most important math concepts on the HSPT Math ... | HuggingFaceTB/finemath | |
It is currently 22 Nov 2017, 17:33
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# Problem Set #4 Quiz Answer
In this article i am gone to share Coursera Course Divide and Conquer, Sorting and Searching, and Randomized Algorithms Week 4 | Problem Set #4 Quiz Answer with you..
## Divide and Conquer, Sorting and Searching, and Randomized Algorithms
### Problem Set #4 Quiz Answer
Question 1) How m... | HuggingFaceTB/finemath | |
and pdfSunday, December 6, 2020 8:50:35 AM4
# An Elementary Introduction To Logic And Set Theory Pdf
File Name: an elementary introduction to logic and set theory .zip
Size: 2133Kb
Published: 06.12.2020
## notes on set theory pdf
The five horizontal lines on which the notes sit are called a staff. They are not guar... | HuggingFaceTB/finemath | |
# Thread: Doubt in non rational equation
1. ## Doubt in non rational equation
Have a look at this irrational equation
Its domain is [1;+infty).
The main math packages (Derive, Maple and Mathematica) we have here, at school, give x = 0 and x = 2, both as solutions!
Actually if you square twice, at last you get:
x² - ... | HuggingFaceTB/finemath | |
#### provide solution for RD Sharma maths class 12 chapter Indefinite Integrals exercise 18.26 question 2
The correct answer is $\frac{e^{x}}{x^{2}}+c$
Hint:
using integration by parts, $\int u . v d x=u \int v d x-\int\left[\int v d x \frac{d u}{d x} d x\right]$
Given:
Solution:
$=\int e^{x}\left(\frac{1}{x^{2}}-\... | HuggingFaceTB/finemath | |
Difference between revisions of "2019 AIME I Problems/Problem 7"
Problem 7
There are positive integers $x$ and $y$ that satisfy the system of equations \begin{align*} \log_{10} x + 2 \log_{10} (\text{gcd}(x,y)) &= 60\\ \log_{10} y + 2 \log_{10} (\text{lcm}(x,y)) &= 570. \end{align*} Let $m$ be the number of (not nece... | open-web-math/open-web-math | |
185 Answered Questions for the topic Standard Form
Standard Form Linear Equations
07/18/21
#### How do write y−4=−7(x+1) in standard form?
Standard Form Precalculus Ellipse
04/12/21
#### Write the following in standard form and identify the conic section. 2x^2+ 7y^2 + 24x + 84y + 310 = 0
I need step by step inst... | HuggingFaceTB/finemath | |
The OEIS is supported by the many generous donors to the OEIS Foundation.
Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A248665 Triangular array of coefficients of polynomials p(n,x) defined in Comments; these are the polynomials defined at A248664, but here the coefficients are written in th... | HuggingFaceTB/finemath | |
## Abstract
This experimental study examines the mechanisms causing cavitation breakdown in an axial waterjet pump. The database includes performance curves, images of cavitation, measured changes to endwall pressure as the blade passes, as well as velocity and pressure distributions inside the blade passage, the latt... | open-web-math/open-web-math | |
# A Fundamentals Of Maths Quiz!
Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz m... | HuggingFaceTB/finemath | |
# A model train with a mass of 5 kg is moving along a track at 4 (cm)/s. If the curvature of the track changes from a radius of 4 cm to 2 cm, by how much must the centripetal force applied by the tracks change?
Feb 3, 2018
The change in ventripetal force is $= 0.2 N$
#### Explanation:
The centripetal force is
${\v... | HuggingFaceTB/finemath | |
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Exploring Pentation - Base e jaydfox Long Time Fellow Posts: 440 Threads: 31 Joined: Aug 2007 12/18/2007, 02:57 PM (This post was last modified: 12/18/2007, 03:01 PM by jaydfox.) I've somewhat reached a natural stopping point in my experimenting with the natural slog for bas... | open-web-math/open-web-math | |
1. L'Hospital's rule
Can anyone explain the procedures in solving these two problems using L'Hospital's rule?
1. lim x-> 0+ (tan 2x)^x
2. lim x-> 1 (2 - x)^tan((pi)x/2)
2. If the function is of indeterminate form, then take the derivative and find the limit of that. Read up, a tad on L'Hop's rule, it is not a hard ... | HuggingFaceTB/finemath | |
# lcm
Least common multiple
## Syntax
``lcm(A)``
``lcm(A,B)``
## Description
example
````lcm(A)` finds the least common multiple of all elements of `A`.```
example
````lcm(A,B)` finds the least common multiple of `A` and `B`.```
## Examples
### Least Common Multiple of Four Integers
To find the least common ... | HuggingFaceTB/finemath | |
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### Extra Challenges from Madras
##### Stage: 3 Challen... | HuggingFaceTB/finemath | |
# Newton's Law of Gravitation: Definition & Examples
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Math
# Teaching Multiplication and Division Relationship Using Arrays
An arrangement of objects, pictures, or numbers in columns and rows is called an array. In this article, you will learn how to use arrays to show the relationship between multiplication and division.
Key standard: Use multiplication and division w... | HuggingFaceTB/finemath | |
Home » Math Theory » Operations of Numbers » Addition Of Numbers Within 100
# Addition Of Numbers Within 100
## Introduction
Addition is one of the most important arithmetic operations used in mathematics. It is the method of calculating the total of two or more numbers to know the sum of the numbers. We use additio... | HuggingFaceTB/finemath | |
Related Function:
The VDB function calculates the depreciation of an asset for a given time period based on a variable declining balance depreciation method.
### Syntax
=VDB(cost,salvage,life,start_period,end_period,[factor],[no_switch])
#### Arguments
Argument Description
cost The original cost of the asset
salva... | HuggingFaceTB/finemath | |
# Newton's Laws problems:confused:
chipsdeluxe
1. Synchronous communications satellites are placed in a circular orbit that is 2.32 x 107 m above the surface of the earth. What is the magnitude of the acceleration due to gravity at this distance?
2. A woman stands on a scale in a moving elevator. Her mass is 62.2 kg... | HuggingFaceTB/finemath | |
# Online calculation of energy in a capacitor
A capacitor is a component of an electrical circuit that consists of two conductive plates separated by a dielectric layer. Typically, they come out of two conclusions for inclusion in the electrical circuit. A feature of the capacitor is its ability to accumulate energy b... | HuggingFaceTB/finemath | |
# Solving Linear Word Problems
The second train is going 85 mph for t time, or 85t. In other words, when do the two distances add up to the total distance, 800 miles. Now, we divide both sides by 160, and we get t = 5.
The first train is traveling at a rate of 75 mph, so the distance it covers in t time is 75t.
In t... | HuggingFaceTB/finemath | |
# Give a coordinate proof that a parallelogram is a rectangle iff its diagonals are congruent
I'm kind of confused on how to solve this one, especially through using coordinate proof.
I know how to prove the other way around. If you know that you have a rectangle, then you know that it's diagonals are congruent throu... | HuggingFaceTB/finemath | |
# NOTE ON PART PER MILLION CONCENTRATION.
The CONCENCENTRATION of a given substance in a chemical soluton is the amount or quantity of that substance present in one litre (1L) or one decimetre cube (1dmΒ³) of the given solution.
ππΎππΎππΎππΎππΎ
The quantity of the substance can be measured i... | HuggingFaceTB/finemath | |
## 19183
19,183 (nineteen thousand one hundred eighty-three) is an odd five-digits prime number following 19182 and preceding 19184. In scientific notation, it is written as 1.9183 × 104. The sum of its digits is 22. It has a total of 1 prime factor and 2 positive divisors. There are 19,182 positive integers (up to 19... | HuggingFaceTB/finemath | |
+0
# Functions and Modeling
0
158
3
+115
If f(x) = (1 − x)^2 and g(x) = 9 − x,
find f(g(x)) and g(f(x)).
Apr 25, 2020
### 3+0 Answers
#1
+28025
+1
f(g(x)) put in g(x) which is 9-x in for 'x' in the definition of f(x)
(1-x)^2 put in 9-x for 'x'
(1 - (9-x)) ^2
= (x -8)^2 = x^2 -16x+64
Y... | HuggingFaceTB/finemath | |
Find bounded function satisfying given conditions
I'm trying to find a function $u: (0, \infty) \to \mathbb{R}$ which satisfies these conditions:
i) $u$ is bounded.
ii) $u^2$ increases over $(0, \infty)$.
iii) $\dot u(t)$ does not converge to $0$ as $t$ tends to infinity.
I think it's easier to choose first the de... | HuggingFaceTB/finemath | |
# What is tan θ in this diagram? < Moderator Note -- Thread moved from the technical math forums (that's why the HH Template is not shown) >
It's supposed to be a simple problem. But I can't for the life of me figure out how to go about it. I managed to find out cos θ using the cosine rule, but it is a very long expre... | HuggingFaceTB/finemath | |
# Q13 Find the following integrals intergration of $\int \frac{x^3 - x^2 + x -1 }{x-1 } dx$
D Divya Prakash Singh
Given integral $\int \frac{x^3 - x^2 + x -1 }{x-1 } dx$
It can be written as
$= \int \frac{x^2(x-1)+(x+1)}{(x-1)} dx$
Taking $(x-1)$ common out
$= \int \frac{(x-1)(x^2+1)}{(x-1)} dx$
Now, cancellin... | HuggingFaceTB/finemath | |
# How do you derive the units for momentum for photons
• TheCelt
In summary, the conversation is discussing how to find the magnitude of momentum for a photon. It is suggested to use the equation p = E/c, but the units do not match up. The conversation then explores different ways to express energy in terms of basic u... | HuggingFaceTB/finemath | |
Instructions
What will come in place of the question mark (?) in the given question?
Question 145
# $$\frac{256^{\frac{1}{4}}}{1\frac{3}{5}}-\frac{3}{5}=?$$
Solution
Expression : $$\frac{256^{\frac{1}{4}}}{1\frac{3}{5}}-\frac{3}{5}=?$$
= $$\frac{4^{4 \times \frac{1}{4}}}{\frac{8}{5}} - \frac{3}{5}$$
= $$\frac{4 ... | HuggingFaceTB/finemath | |
These extra... BRICSMATH.COM is an annual International Online Competition in Mathematics, for students of classes I – XII of 07 BRICS countries (Brazil, Russia, India, China and South Africa, Indonesia and Vietnam). Draw a line m, perpendicular to l. Thi sis a true us e of technology in a grandiose and wondrous way. G... | open-web-math/open-web-math | |
X
X
# Calculate the Least Common Multiple or LCM of 700
The instructions to find the LCM of 700 are the next:
## 1. Decompose all numbers into prime factors
700 2 350 2 175 5 35 5 7 7 1
## 2. Write all numbers as the product of its prime factors
Prime factors of 700 = 22 . 52 . 7
## 3. Choose the common and un... | HuggingFaceTB/finemath | |
Friday, August 9, 2024
Home > mensuration > SSC CGL Mensuration 2D Questions Answers Set 3
# SSC CGL Mensuration 2D Questions Answers Set 3
SSC Mensurations 2D
Area and Perimeter Questions Sets
Set 1 Set 2 Set 3 Set 4 Set 5
Set 6 Set 7 Set 8 Set 9 Set 10
SSC CGL Mensuration 2D Questions Answers Set 3: Ques No 1
The... | 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 | |
Area of a Triangle
Area of a Triangle: We have already learned in practical geometry that the area of a trapezium is one half the sum of the lengths of two parallel sides multiplied by the perpendicular distance between them. Using this formula, we shall now derive an algebraic formula for the area of a triangle when ... | HuggingFaceTB/finemath | |
# How long would it take for a person to accelerate up to the speed of light...?
...within a tolerable acceleration threshold?
I mean, if you were to send spacemen to the far reaches of the universe, and you wanted them to eventually reach the speed of light (or almost) without killing them... how long would it take ... | HuggingFaceTB/finemath | |
# How do I read this equation for air friction/drag on an object?
• I
I am trying to understand an excerpt from an article describing the vibrations of a string (eg. guitar/piano) which reads as follows:
This is basically the wave equation with Δm representing a small piece of mass from an interval of the string and ... | HuggingFaceTB/finemath | |
Model MCQ for Class 9 Maths.
CBSE CLASS 9 MATHEMATICS Model MCQ is about expected multiple choice questions from the chapters Number systems, Polynomials, Co ordinate geometry and Linear equations in two variables.
CBSE CLASS 9 MATHEMATICS
Model MCQ for Half Yearly Exam
Choose the correct answer from the options give... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Multiplication & division similar to Tessellate the Triominoes:
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### A Square of Numbers
##### Stage: 2 Challenge Lev... | HuggingFaceTB/finemath | |
# NCERT Solutions For Class 9th Maths Chapter 3 : Coordinate Geometry
CBSE NCERT Solutions For Class 9th Maths Chapter 3 : Coordinate Geometry. NCERT Solutins For Class 9 Mathematics. Exercise 3.1, Exercise 3.2, Exercise 3.3
### NCERT Solutions for Class IX Maths: Chapter 3 – Coordinate Geometry
Page No: 53
Exercis... | HuggingFaceTB/finemath |
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