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# Free cylinder on an accelerating platform
ash1262
Suppose a cylinder is resting on a horizontal platform on plane x-y with its axis parallel to the y axis, and the platform accelerates in the x direction. Assume that the axis remains parallel to the y axis and the surface is rough.
What is the motion (acceleration:l... | HuggingFaceTB/finemath | |
# Keyword Analysis & Research: number
## Keyword Research: People who searched number also searched
Is the number 0 the smallest number?
Natural numbers are most often taken to be the positive integers but in some cases are used as the non-negative integers. In the former case, the smallest natural number is 1. In t... | HuggingFaceTB/finemath | |
# What is the probability of drawing two cards of the same suit?
## What is the probability of drawing two cards of the same suit?
Interview Answer should be 52/54 * 12/51. There are 13C2 ways of picking two cards from the same suite out of the 52C2 ways of picking 2 cards from a deck. That comes to 3/51.
## What is... | 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 | |
## Ménage primes
The Online Encyclopedia of Integer Sequences has recently celebrated its fiftieth anniversary, amassed over 250 000 sequences of varying importance, and heralded the 75th birthday of its creator Neil Sloane. It is somewhat surprising, therefore, that no-one appears to have investigated the intersectio... | open-web-math/open-web-math | |
## Learning and Applying Mathematics using Computing
### Flight Music
As well as being useful for working with triangles, the sine function can also be used for generating sounds. If you take an ever increasing number and pass it to the sine function, you get back this graph: If you treat this as a sound wave, then y... | HuggingFaceTB/finemath | |
# Let and where and be the identity matrix of order 3. If the determinant of the matrix is then the value of is equal to ____________. Option: 1 -6 Option: 2 36 Option: 3 -36 Option: 4 6
\begin{aligned} \text { Let } M&=(P-1 A P-I)^{2} \\ &=\left(P^{-1} A P\right)^{2}-2 P^{-1} A P+I \\ &=P^{-1} A^{2} P-2 P^{-1} A P+I ... | HuggingFaceTB/finemath | |
# How marginal product is calculated?
The formula for marginal product is that it equals the change in the total number of units produced divided by the change in a single variable input. ... The marginal product is 7.5, or 15 additional pizzas divided by the two additional employees hired.
## What is the formula for... | HuggingFaceTB/finemath | |
# Statistics homework help
PICK EITHER OPTION 1 OR OPTION 2. DO NOT DO BOTH.
1. Introduce your scenario and data set.
• Provide a brief overview of the scenario you are given above and the data set that you will be analyzing.
• Classify the variables in your data set.
• Which variables are quantitative/qualitative?
•... | HuggingFaceTB/finemath | |
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Κύριο περιεχόμενο
# Writing fractions as repeating decimals review
Review ... | HuggingFaceTB/finemath | |
# Table 3x3
Table with numbers 3x3
in the first row 66,24,33
in the second row 57,? 19
in the third row 18,45,60
What number comes ar mark ?. Maybe the numbers: 22,46,45,47
Correct result:
x = 47
#### Solution:
We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and s... | HuggingFaceTB/finemath | |
A body of mass $m$ slides down a plane inclined at an angle $\alpha$. The coefficient of friction is $\mu$. Find rate at which kinetic plus gravitational potential energy is dissipated at any time $t$.
2. Motion exists along the surface of the plane only (call this direction horizontal). Analyse the weight force $B=mg$... | HuggingFaceTB/finemath | |
CS 7260 Lecture on Nov 26 Scriber : Kamal Shadi
```CS 7260
Lecture on Nov 26th
We have gone through two algorithms to count the number of distinct elements
in two sets.
| ∪ |= | |+| |−| ∩ |
Number of elements in each set is already known, so we need an algorithm
for| ∩ |. Here are the two visited algorithms:
Mean Regi... | HuggingFaceTB/finemath | |
# What are the characteristics of the graphs of the sine and cosine functions?
## What are the characteristics of the graphs of the sine and cosine functions?
The sine and cosine functions have several distinct characteristics:
• They are periodic functions with a period of.
• The domain of each function is and the ... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from grams to pounds is 0.0022046226218488, which means that 1 gram is equal to 0.0022046226218488 pounds:
1 g = 0.0022046226218488 lb
To convert 34.2 grams into pounds we have to multiply 34.2 by the conversion factor in order to get the mass amount from grams to pounds. ... | HuggingFaceTB/finemath | |
# 10 Examples of the Remainder Theorem with Answers
The remainder theorem tells us that when a polynomial f(x) is divided by (αxβ), the remainder is equal to f(β/α). This means that to find the remainder of the division, we have to evaluate the function using the β/α value, that is, the x value of the factor (the divi... | open-web-math/open-web-math | |
# Difference between revisions of "2005 AMC 10A Problems/Problem 6"
## Problem
The average (mean) of $20$ numbers is $30$, and the average of $30$ other numbers is $20$. What is the average of all $50$ numbers? $\mathrm{(A) \ } 23\qquad \mathrm{(B) \ } 24\qquad \mathrm{(C) \ } 25\qquad \mathrm{(D) \ } 26\qquad \mathr... | HuggingFaceTB/finemath | |
Polynomials and Rational Expressions Practice
CCSS High School Algebra Practice
This quiz illustrates the range of difficulty expected by the following Common Core State (CCS) standards:
Question Common Core Standard # 1 A.APR.1 2 A.APR.1 3 A.APR.1 4 A.APR.2 5 A.APR.3 6 A.APR.4 7 A.APR.5 + 8 A.APR.2 9 A.APR.2 10 A.... | HuggingFaceTB/finemath | |
Test: Factors and Multiples- 1
# Test: Factors and Multiples- 1
Test Description
## 10 Questions MCQ Test Mathematics for Class 5 | Test: Factors and Multiples- 1
Test: Factors and Multiples- 1 for Class 5 2022 is part of Mathematics for Class 5 preparation. The Test: Factors and Multiples- 1 questions and answers ... | HuggingFaceTB/finemath | |
0
# What is 52 1000?
Updated: 9/21/2023
Wiki User
12y ago
It's not clear what relationship you want those two numbers to have.
52 x 1000 = 52,000
52/1000 = 13/250 or 0.052
52 - 1000 = -948
52 + 1000 = 1052
Wiki User
12y ago
Earn +20 pts
Q: What is 52 1000?
Submit
Still have questions?
Related questions
0.0... | HuggingFaceTB/finemath | |
# What is Archimedes principle? How does a ship float?
Definition: Archimedes principle states that when a body is wholly or partially immersed in a fluid, an upward force acts on it which is equal to the weight of fluid displaced.The upward force acting on the body is called Buoyant force which helps in the floating ... | HuggingFaceTB/finemath | |
New Zealand
Level 6 - NCEA Level 1
# Appropriate Units of Mass
Lesson
As we have been learning, everything in maths that relates to the ‘real world’ has units. If there's a point to it there are units attached to it. The units that we use are particular to what we are measuring.
There are some units we need to know... | HuggingFaceTB/finemath | |
# Need help with a limit problem on Spivak's Calculus.
• Elvz2593
In summary, the problem states that for a function f(x) defined as 1/n if x is in A_n and 0 if x is not in A_n for any n, the limit of f(x) as x approaches a is equal to 0 for all a in [0,1]. The conversation discusses different approaches to proving th... | HuggingFaceTB/finemath | |
# Since natural units can be discarded, does that mean that natural units are not required?
Contents
## What is meant by natural units?
In physics, natural units are physical units of measurement based only on universal physical constants. For example, the elementary charge e is a natural unit of electric charge, an... | HuggingFaceTB/finemath | |
# The Beef Taco Dilemma
This is a problem that I wrote for my statistics class. The objectives for this problem are as follows:
1. Compute percentages.
2. Compute the arithmetic mean.
3. Critically think about whether or not Joe had enough tacos to meet the ‘average’ demand.
What I found was some students had a ... | HuggingFaceTB/finemath | |
A first course in Geometry
Introduction to Euclidean Geometry, for High School, College & University
This video series is entitled, "A first course in Geometry," which provides introduction to Euclidean Geometry, for High School, College & University. The series presents 86 individual lectures and span the subject of... | HuggingFaceTB/finemath | |
# Ch2-4WS - y = 3 x 1 is continuous 4 Is there any real...
This preview shows pages 1–2. Sign up to view the full content.
Mrs. Waldron BC Calculus Ch 2.3-2.4 Continuity and Tangents Worksheet 1. Find the points at which the graph of the function f is continuous and the points at which f is discontinuous. a. 6 4 2 5 ... | HuggingFaceTB/finemath | |
# Cycling
Cyclist goes on a trip. First, drove 3 hours average speed 33 kilometers per hour, then slowed down and another 4 hours driving a speed 24 kilometers per hour. How many total kilometers cycling?
Result
x = 195 km
#### Solution:
Leave us a comment of example and its solution (i.e. if it is still somewhat... | HuggingFaceTB/finemath | |
In electronics, an adder or summer is a digital circuit that performs addition of numbers.In modern computers adders reside in the arithmetic logic unit (ALU) where other operations are performed.Although adders can be constructed for many numerical representations, such as Binary-coded decimal or excess-3, the most... | HuggingFaceTB/finemath | |
Smartick is an online platform for children to master math in only 15 minutes a day
Jun02
# How to Find a Sum of Fractions
In this post, we are going to learn how to find a sum of fractions.
Before you begin to add fractions, it is recommended that you know how to calculate the least common multiple (LCM) of two or... | HuggingFaceTB/finemath | |
My Math Forum logic question
Algebra Pre-Algebra and Basic Algebra Math Forum
October 18th, 2009, 04:42 AM #1 Newbie Joined: Oct 2008 Posts: 6 Thanks: 0 logic question My logic is not working. Someone pls help me out. Here the question is : On the M53 is a sign Warrington 20. Just over half a mile further on is a... | HuggingFaceTB/finemath | |
# 仓本-希伐欣斯基方程
Kuramoto-Sivashinsky 偏微分方程 Maple 3d 图
Kuramoto-Sivashinsky 偏微分方程 Maple 图
Kuramoto Sivashinsky 偏微分方程 Maple 动画
Kuramoto-Sivashinsky 方程是一个非线性常微分方程[1]
${\displaystyle {\frac {\partial u}{\partial t}}=-u*{\frac {\partial u}{\partial x}}-\alpha *{\frac {\partial ^{2}u}{\partial x^{2}}}-\beta *{\frac {\partial... | HuggingFaceTB/finemath | |
$\newcommand{\N}{\mathbb N} \newcommand{\Z}{\mathbb Z} \newcommand{\Q}{\mathbb Q} \newcommand{\R}{\mathbb R} \newcommand{\C}{\mathbb C} \newcommand{\ba}{\mathbf{a}} \newcommand{\bb}{\mathbf{b}} \newcommand{\bc}{\mathbf{c}} \newcommand{\bd}{\mathbf{d}} \newcommand{\be}{\mathbf{e}} \newcommand{\bff}{\mathbf{f}} \newcomma... | HuggingFaceTB/finemath | |
Enter the mass of the object, the velocity of the raise motion, and the efficiency of the hoist into the calculator to determine the power.
## Hoist Motor Power Formula
The following equation is used to calculate the Hoist Motor Power.
HMP = m*g*V / N
• Where HMP is the hoist motor power (watts or joules/s)
• m is ... | HuggingFaceTB/finemath | |
# How many amps does a 12v motor use?
## How many amps does a 12v motor use?
0.5 HP = 42 amperes.
How much current will a motor draw?
Calculate the amps used by dividing the wattage by the voltage. For example a 500-watt motor — running on 50 volts — will draw 10 amps. A motor with the same wattage — running on 20 ... | HuggingFaceTB/finemath | |
Matrix size
2×2
A=
⌈ a1 a2 ⌉ ⌊ b1 b2 ⌋
First row
a₁
a₂
Second row
b₁
b₂
# Diagonalize Matrix Calculator
By Maciej Kowalski, PhD candidate
Welcome to the diagonalize matrix calculator, where we'll take you on a mathematical journey to the land of matrix diagonalization. We'll go through the topic of how to diagonali... | open-web-math/open-web-math | |
# Simplify the expression (4x+8)+(-6x). Explain how the associative and commutative properties were used to solve the expression?
Jul 14, 2018
$- 2 \left(x - 4\right)$
#### Explanation:
1. use the distribution property to change $+ \times \left(- 6 x\right)$ to -6x ( + xx - = -)
2. remove the parenthesis giving 4x... | HuggingFaceTB/finemath | |
# Quiz – 1
Hello PrepSter,
If you find any errors in the quiz below kindly comment in the comment section and we will make it our priority to fix it.
Also if you have a better of the solution to the questions, please do comment them below and if we find it better than ours, we will post it in our website.
Question ... | HuggingFaceTB/finemath | |
3 Tutor System
Starting just at 265/hour
# A stone is allowed to fall from the top of a tower 100 m high and at the same time another stone is projected vertically upwards from the ground with a velocity of 25 m/s. Calculate when and where the two stones will meet.
(i) When the stone from the top of the tower is thro... | HuggingFaceTB/finemath | |
Directions (1-5): Study the following information carefully to answer these questions.
A, B, C, D, E, F, G and H are eight family members. They all leave for shopping mall in a same day but on different time viz. 1pm, 2pm, 3pm, 4pm, 5pm, 6pm, 7pm and 8pm but not necessarily in the same order.
A leaves for mall after 5p... | HuggingFaceTB/finemath | |
# Find Largest Special Prime which is less than or equal to a given number
• Difficulty Level : Medium
• Last Updated : 12 May, 2021
Given a number N. The task is to find the largest special prime which is less than or equal to N.
A special prime is a number which can be created by placing digits one after another su... | HuggingFaceTB/finemath | |
# 2-dimensional ranking of multiple arrays
Given a fixed dimension $$d$$, say $$d=2$$ we want the following:
Input: $$A_1\ldots A_m$$: $$m$$ arrays of length $$n$$ of integers
Each input array $$A_i$$ must be a permutation of the numbers $$1..n$$, so in each array each number from $$1$$ to $$n$$ appears exactly once... | HuggingFaceTB/finemath | |
# How to simplify this equation?
$$1 (N) + 2(N-1) + 3(N -2) + \cdots + i(N - i + 1) + \cdots + N (1)$$
I need to write it in simplest form?
here 1(N) means 1 multiply by N
-
Sorry, but does $N$ stand for a complex number? – Babak S. Nov 29 '12 at 10:05
Babak, $N$ must be a natural number; $i$ is intended as an inde... | HuggingFaceTB/finemath | |
# Solving system of linear equations
### Solution:
a+b+c=469
a = b + 0.20 b
c = b + 0.15 b
a+b+c=469
a = b + 0.20•b
c = b + 0.15•b
a+b+c = 469
a-1.2b = 0
1.15b-c = 0
a = 168
b = 140
c = 161
Write each equation on a new line or separate it by a semicolon. The online calculator solves a system of linear equations (... | HuggingFaceTB/finemath | |
## 1878 Days Before April 4, 2024
Want to figure out the date that is exactly one thousand eight hundred seventy eight days before Apr 4, 2024 without counting?
Your starting date is April 4, 2024 so that means that 1878 days earlier would be February 12, 2019.
You can check this by using the date difference calcula... | HuggingFaceTB/finemath | |
# 1 Kilogam/Pascal/Second/Square Meter in Permeability [23 °C]
Permeability
Kilogam/Pascal/Second/Square Meter
Permeability [23 °C]
1 Kilogam/Pascal/Second/Square Meter = 17405682955.49 Permeability [23 °C]
## How many Permeability [23 °C] are in 1 Kilogam/Pascal/Second/Square Meter?
The answer is 1 Kilogam/Pascal/S... | HuggingFaceTB/finemath | |
# Definition:Greatest Common Divisor/Integers/Definition 1
## Definition
Let $a, b \in \Z: a \ne 0 \lor b \ne 0$.
The greatest common divisor of $a$ and $b$ is defined as:
the largest $d \in \Z_{>0}$ such that $d \divides a$ and $d \divides b$
where $\divides$ denotes divisibility.
This is denoted $\gcd \set {a, ... | HuggingFaceTB/finemath | |
# Tschirnhaus Transformation
## Theorem
Let $P_n \left({x}\right) = 0$ be a polynomial equation of order $n$:
$a_n x^n + a_{n-1} x^{n-1} + \cdots + a_1 x + a_0 = 0$
Then the substitution: $y = x + \dfrac {a_{n-1}} {n a_n}$
converts $P_n$ into a depressed polynomial:
$b_n y^n + b_{n-1} y^{n-1} + \cdots + b_1 y + b... | open-web-math/open-web-math | |
# variance of poisson distribution
So, yes, use the estimator $\hat x=\hat\lambda$ of its mean. $$\Large Var(X) = \lambda$$ . Ce chiffre indique la propagation d’une distribution, et il se trouve en élevant au carré l’ écart - type. I am trying to show that the sample variance is an unbiased estimator of $\lambda$ for... | HuggingFaceTB/finemath | |
# How do you simplify -4 + 3(6 + k)?
Apr 3, 2018
#### Explanation:
$- 4 + 3 \left(6 + k\right)$
Multiply the terms in the paranthesis by 3 first:
$= - 4 + 18 + 3 k$
$= 14 + 3 k$
Your answer is $14 + 3 k$ | HuggingFaceTB/finemath | |
Pipes And Cistern - MCQ 1
# Pipes And Cistern - MCQ 1
Test Description
## 20 Questions MCQ Test Quantitative for GMAT | Pipes And Cistern - MCQ 1
Pipes And Cistern - MCQ 1 for Quant 2022 is part of Quantitative for GMAT preparation. The Pipes And Cistern - MCQ 1 questions and answers have been prepared according to... | HuggingFaceTB/finemath | |
# Introduction to Projective Geometry Solutions 5.10
## Affine Transformations
A 11 minute read, posted on 20 Sep 2019
Tags computer vision, projective geometry, problem solution
Please read this introduction first before looking through the solutions. Here’s a quick index to all the problems in this section.
####... | HuggingFaceTB/finemath | |
# What is Linear Programming? Examples, Types and Terminologies
Posted in
Simran Kaur Arora
Last updated on November 4, 2022
Many of us might have experienced target-based situations in daily life. Let us take a few examples of target-based situations. Say a salesperson needs to achieve the specific target of sellin... | HuggingFaceTB/finemath | |
# Solubility Product Constant, Ksp
The solubility product constant, $$K_{sp}$$, is the equilibrium constant for a solid substance dissolving in an aqueous solution. It represents the level at which a solute dissolves in solution. The more soluble a substance is, the higher the $$K_{sp}$$ value it has.
Consider the g... | HuggingFaceTB/finemath | |
# Why is it, with less airflow, you'll have less control effectiveness?
I understand the principle of less airflow, less control, but why is that the case?
• A control surface deflects air. So the more air deflected, the more...? Aug 26, 2017 at 23:19
• How is this not intuitive? With zero airflow, controls just sit ... | HuggingFaceTB/finemath | |
## solving for x in following proportion
Simplificatation, evaluation, linear equations, linear graphs, linear inequalities, basic word problems, etc.
losdawg25
Posts: 1
Joined: Thu Feb 05, 2009 2:23 pm
Contact:
### solving for x in following proportion
i am a beginner in algebra. i need to solve this. x+15 divided ... | HuggingFaceTB/finemath | |
# Finding the Domain of Composite Functions With Square Roots
by Salamat Mujeeb
(Sialkot, Pakistan)
Given the following functions: How do I find the domain of the composite functions fog and gof?
Whenever we have functions with square roots, the domain will be the set of numbers for which the expression inside the r... | HuggingFaceTB/finemath | |
# 1. Introduction
Factorial is a fundamental concept in mathematics, denoted as n! (read as "n factorial"). It is the product of all positive integers from 1 to n. For instance, the factorial of 5 (5!) is 5 x 4 x 3 x 2 x 1 = 120. The factorial function grows rapidly, meaning factorials of even modestly large numbers a... | HuggingFaceTB/finemath | |
Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!
# Pump Power Calculator
## Calculate pump hydraulic and shaft power
### Hydraulic Pump Power
The ideal hydraulic power to drive a pump depends on
• the mass flow rate the
• liquid density
• the differ... | HuggingFaceTB/finemath | |
# Infinite sum of $\cot^{-1} (n^2 + 3/4)$.
I am trying to find the infinite sum
$$\sum_{n=1}^\infty \cot^{-1} (n^2 + ( \frac{3}{4})),$$ I tried to get a telescopic series but I couldn't find one.
• have you tried Wolfram Alpha? – Dr. Sonnhard Graubner Sep 22 '17 at 13:33
• Actually I am not interested in the value b... | HuggingFaceTB/finemath | |
# University of Wisconsin Green Bay
You are helping your friend prepare for the next skateboard exhibition by determining if the planned program will work. Your friend will take a running start and then jump onto a heavy-duty 15-lb stationary skateboard. The skateboard will glide in a straight line along a short, leve... | HuggingFaceTB/finemath | |
# Resources tagged with: Creating and manipulating expressions and formulae
Filter by: Content type:
Age range:
Challenge level:
### There are 131 results
Broad Topics > Algebraic expressions, equations and formulae > Creating and manipulating expressions and formulae ### Sums of Pairs
##### Age 11 to 16Challenge L... | HuggingFaceTB/finemath | |
## Newtonian Fluid
A Newtonian fluid with a dynamic viscosity of 0.4 kg/(m∙s) and a specific gravity of 0.9 flows through a 30 mm diameter pipe with a velocity of 3 m/s. Calculate the Reynolds number. Assume the standard density of water is 1,000 kg/m^3.
Hint
The Reynolds number for a Newtonian fluid:
$$Re=\frac{vD\r... | HuggingFaceTB/finemath | |
What is the value of 32^4? A. 1,048,576 B. 18 C. 128 D. 648
32^4 =1,048,576
s
Question
Updated 7/25/2016 5:37:10 PM
Edited by jeifunk [7/25/2016 5:37:08 PM]
Rating
Questions asked by the same visitor
What's the product of 4 2/3 and 11 1/4 ? A. 8 3/7 B. 52 1/2 C. 44 2/12 D. 56 1/35
Question
Updated 7/19/2016 6:47:32 PM... | HuggingFaceTB/finemath | |
# How Many 20s Does It Take To Make 100?
## How many \$10 bills are the same as one \$100 bill?
Ten \$10s make \$100 How many ten-dollar bills equal a hundred-dollar bill.
## How much does 20 make 1000?
1000/20 is 50. 50 \$20 bills is \$1000. If you’re asking how many \$20 bills adds up to \$1,000 dollars the answe... | HuggingFaceTB/finemath | |
# 0279-完全平方数(0279 complete square)-其他
## 0279-完全平方数(0279 complete square)
1 <= n <= 104
• https://leetcode-cn.com/problems/perfect-squares/solution/dai-ma-sui-xiang-lu-279-wan-quan-ping-fa-9ieo/
### python
``````# 0279.完全平方数
class Solution:
def numSqaures(self, n: int) -> int:
"""
动态规划，完全背包， 先背包再物品
:param n:
:ret... | HuggingFaceTB/finemath | |
Olympiad Test: Congruence of Triangles - Class 7 MCQ
# Olympiad Test: Congruence of Triangles - Class 7 MCQ
Test Description
## 20 Questions MCQ Test Mathematics Olympiad Class 7 - Olympiad Test: Congruence of Triangles
Olympiad Test: Congruence of Triangles for Class 7 2024 is part of Mathematics Olympiad Class 7 ... | HuggingFaceTB/finemath | |
# What is 31/40 as a percentage?
All through our schooling years, we encounter fractions. Many questions involve solving a fraction as a percentage. For example, we may need to calculate 31/40 as a percentage.
Sometimes we need to express the given fraction in terms of percentage and you need to learn the steps for t... | HuggingFaceTB/finemath | |
# Arranging letters with two letters not next to each other
just wanna know what's the answer to this one.
How many ways can the word "ARRANGED" be arranged so that N and D aren't next to each other?
Thanks. :)
• Wouldn't you rather learn how to do problems like this, instead of just knowing the answer to this one ... | HuggingFaceTB/finemath | |
# Indefinite integral question: $\int \frac{1}{x\sqrt{x^2+x}}dx$
How can I solve this integral: $$\int \frac{1}{x\sqrt{x^2+x}}dx$$ I first completed the square and got: $$\int \frac{1}{x\sqrt{(x+\frac{1}{2})^2-\frac{1}{4}}}dx$$ Then I factored out 1/4 and got: $$2\int \frac{1}{x\sqrt{(2x+1)^2-1}}dx$$ Then I substitute... | open-web-math/open-web-math | |
# Independent Events Teacher Resources
Find Independent Events lesson plans and worksheets
Showing 49 - 72 of 118 resources
Lesson Planet
#### Explorations for the Area Probability Applet
For Teachers 7th - 10th
Math whizzes use the area probability applet to manipulate the size of the circle and the rectangle to ex... | HuggingFaceTB/finemath | |
# How Do You Find the Circumcenter of a Triangle?
For any triangle, a perfect circle can be drawn whose outside edge lies along all three points. The center of that circle is called the circumcenter of the triangle, and it can be found where the perpendicular bisectors of the triangle's sides intersect. You need a pro... | HuggingFaceTB/finemath | |
## Intermediate Algebra (12th Edition)
$\text{ NOT a function }\\\text{Domain: } \{ -4,1 \} \\\text{Range: } \{-5,-2,2,5\}$
$\bf{\text{Solution Outline:}}$ If the first components of the given set, $\{(-4,2),(-4,-2),(1,5),(1,-5) \}$ do not repeat (is unique), then the set defines a function. The domain is the set of a... | HuggingFaceTB/finemath | |
# Dictionary:Convolution theorem
The Fourier transform of the convolution of two functions is equal to the product of their individual transforms (or multiplying their amplitude spectra and summing their phase spectra). See Figures F-20 and F-22.
## Integral definition
The process of convolution of two functions $f(... | HuggingFaceTB/finemath | |
# How many digits do I really have?
Determine the number of digits of $$10,000,000!$$.
Details and Assumptions
It is 10 million factorial.
You may use the following approximation:
$$\log_{10} 2 = 0.30102999566398 \ldots$$
$$\log_{10} \pi = 0.49714987269413 \ldots$$
$$\log_{10} e = 0.43429448190325 \ldots$$
× | HuggingFaceTB/finemath | |
This website allows you to draw your own fourier epicycle drawings, either by uploading an svg or by mouse. I had quite a bit fun creating this, so at the end there is a brief explanation trying to give the reader some mathematical intuition as to how revolving circles and the fourier transform are connected.
My motiv... | HuggingFaceTB/finemath | |
# Is this ODE separable?
#### sporff
I'm almost finished my calculus book (I'm self-teaching) and in the last 2 chapters it's giving a brief intro to differential equations. the second section is for "separable" and I'm stuck on this one halfway through the exercises. It doesn't seem to be separable by any means I ca... | HuggingFaceTB/finemath | |
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# Quantitative Aptitude Quiz For SBI Clerk Prelims 2023-06th October
Q1. Circumference of a circle is 44 cm and radius of a cylinder is 500/7% of the diameter of the circle. If height of the cylinder is 14 cm, then find the volume (in cm³) of the cylinder?
(a) 4400 cm³
(b) 4290 cm³... | HuggingFaceTB/finemath | |
Stratified Sampling Sampling Third Edition - Thompson View Notes - Lecture 8 -- Simple Random Sampling.pdf from STATISTICS 320 at Herzing University.
## (PDF) On stratified randomized response sampling
Stratifled Sampling Mark Irwin. be a discrete random Examples of situations where you might want to use stratifled s... | HuggingFaceTB/finemath | |
# Solving Two-Step Linear Equations
More commonly, we need two operations to solve a linear equation .
In the equation $3x+5=11$ , $x$ is multiplied by $3$ and then $5$ is added. To solve two-step equations, use inverse operations to undo each operation in reverse order.
$3x+5=11$ . . . . . . . our given equation
$... | HuggingFaceTB/finemath | |
# Practice Test
Q1) The price relative for the year 1998 with 1989 = 100 is 105, while the price relative for 1998 with 1993 = 100 is 140. Find the price relative for 1993 with 1989 = 100. Show Answer
Q2) The amounts spent on 5 components of a product are 30%, 20%, 20%, 15% and 15% respectively, by what per cent will... | open-web-math/open-web-math | |
# Electric Boundary Value Problem
1. Nov 30, 2008
### Prologue
1. The problem statement, all variables and given/known data
A pair of infinite, parallel planes are equipotential surfaces. The plane at z = 0 has an electric potential of 0 and the plane at z = b also has a potential of zero. The electric field at b i... | HuggingFaceTB/finemath | |
+0
# A square region with perimeter 60 inches is made with square inch tiles. Bob removes one tile from the square and rearranges the remaining t
0
372
1
A square region with perimeter 60 inches is made with square inch tiles. Bob removes one tile from the square and rearranges the remaining tiles without any overla... | HuggingFaceTB/finemath | |
New Zealand
Level 7 - NCEA Level 2
Domain and Range of Absolute Value Functions II
Lesson
For any function, we understand the domain to be the set of values that the independent variable can take. The range is the image of the domain values under the effect of the function.
Absolute value functions of the form $|f... | HuggingFaceTB/finemath | |
# Poisson regression
In statistics, Poisson regression is a form of regression analysis used to model count data and contingency tables. Poisson regression assumes the response variable Y has a Poisson distribution, and assumes the logarithm of its expected value can be modeled by a linear combination of unknown param... | HuggingFaceTB/finemath | |
## Calculus Topic: Integrating Piecewise Discontinuous Bounded Functions
Standard calculus texts handle integration of unbounded functions under "improper integrals". This note is a quick supplement covering integration of bounded discontinuous functions, a topic which usually has little coverage in standard calculus ... | HuggingFaceTB/finemath | |
# Minimize sum of differences between maximum and minimum elements present in K subsets
• Difficulty Level : Medium
• Last Updated : 18 Jan, 2021
Given an array arr[] of size N and an integer K, the task is to minimize the sum of difference between the maximum and minimum element of each subset by splitting the array... | HuggingFaceTB/finemath | |
# Sharp concentration for selection via random partitioning?
The usual simple algorithm for finding the median element in an array $A$ of $n$ numbers is:
• Sample $n^{3/4}$ elements from $A$ with replacement into $B$
• Sort $B$ and find the rank $|B|\pm \sqrt{n}$ elements $l$ and $r$ of $B$
• Check that $l$ and $r$ a... | HuggingFaceTB/finemath | |
It is currently 28 Jun 2017, 17:58
### 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 | |
# Close Enough! Finding a Fraction of a Number - Set 1
### Explanation:
There are times when it is necessary to be exact and there are times when estimating, or being 'close enough' is sufficient. This problem set helps you practice estimating, or being 'close enough' when finding a fraction of a number. As an exam... | HuggingFaceTB/finemath | |
# Floating Point Calculation Error
In a blog post I read somewhere that if you give alert(9.2*100); in JavaScript then the alert box will show 919.999999999999 instead of 920. Many people wonder, “Why is it so?”, “Is it a bug?”
Answer to question “Is it a Bug?” is Yes and No.
Yes, because you are getting wrong outpu... | HuggingFaceTB/finemath | |
# What is 337 Grams in Long Tons?
## Convert 337 Grams to Long Tons
To calculate 337 Grams to the corresponding value in Long Tons, multiply the quantity in Grams by 9.8420652761106E-7 (conversion factor). In this case we should multiply 337 Grams by 9.8420652761106E-7 to get the equivalent result in Long Tons:
337 ... | HuggingFaceTB/finemath | |
# 13190 (number)
13,190 (thirteen thousand one hundred ninety) is an even five-digits composite number following 13189 and preceding 13191. In scientific notation, it is written as 1.319 × 104. The sum of its digits is 14. It has a total of 3 prime factors and 8 positive divisors. There are 5,272 positive integers (up... | HuggingFaceTB/finemath | |
# Negative binomial transformation and mgf
1. Jul 27, 2014
### Mogarrr
Imo, this problem is crazy hard.
1. The problem statement, all variables and given/known data
Let X have the negative binomial distribution with pmf:
$f_X(x) = \binom{r+x-1}{x}p^{r}(1-p)^{x}$, x=0.1.2...,
where $0<p<1$ and r is a positive int... | HuggingFaceTB/finemath | |
# Proving $x<y \implies n^{x}<n^{y}$, for $n>1$, $x,y \in \mathbb R$
I think I'm supposed to use the lowest upper bound property but I don't even know where to construct a set to start the problem.
• What is the definition of $n^x$? – David Jan 28 '16 at 7:04
• The usual definition i guess? $n\times n\times n\times \... | HuggingFaceTB/finemath | |
# Mom and daughter
Mom is 30 years older than the daughter. What is the age difference between them in 35 years?
Result
x = 30
#### Solution:
Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):
Be the first to comment!
#### To solve this verbal math problem are needed these... | HuggingFaceTB/finemath | |
If the observable universe were compressed into a super massive black hole, how big would it be?
I understand only a little of general relativity, but that's why I'm here! :)
Consider the hypothetical situation of some extra-terrestrial intelligence pushing all the mass in the observable universe, every last subatomi... | HuggingFaceTB/finemath | |
Seeing as Cian had just finished rounding up to 10 or down to 0, dressed as a snow leopard, Ioan and Finny decided they would incorporate animals into their rounding work too.
Resources
• Numicon
• Snow leopard
• Panda
• Macaw
• Whiteboards and pens
Steps for rounding to the nearest 10
• Look at the digit in the ‘O... | HuggingFaceTB/finemath | |
The Profit/volume ratio, i m sorry is also called the ‘contribution ratio’ or ‘marginal ratio’, expresses the relation of contribution to sales and can be expressed together under:
P/V ratio = Contribution/Sales
Since donation = Sales – Variable price = Fixed price + Profit, P/V proportion can likewise be expressed a... | HuggingFaceTB/finemath | |
+0
# help geometry
0
116
2
If MJ = 15, KL = 16, and ML = 20, what is MK?
Feb 23, 2021
#1
+951
+1
Triangle MKJ is similar to triangle MKL.
$$\frac{MJ}{MK}= \frac{MK}{KL}$$
x/15 = 16/20
x = 12
Feb 23, 2021
#2
+118504
+1
Triangle MKL is a right triangle......so.....
MK = sqrt ( ML^2 - KL^2) = sqrt (20... | HuggingFaceTB/finemath |
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