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# Prove that (tanx)(sin2x) = 2 – 2cos^2
Prove that
$\left(\mathrm{tan}x\right)\left(\mathrm{sin}2x\right)=2–2{\mathrm{cos}}^{2}$
You can still ask an expert for help
• Questions are typically answered in as fast as 30 minutes
Solve your problem for the price of one coffee
• Math expert for every subject
• Pay only ... | HuggingFaceTB/finemath | |
## Thomas' Calculus 13th Edition
a) $0.935^{\circ}C/ft$ b) $1.87^{\circ}C/sec$
a. Here, we have $u=(\dfrac{\sqrt 3}{2})i-(\dfrac{1}{2})j$; $\nabla T= \sin (\sqrt 3) i+ \cos (\sqrt 3) j$ Then, we get $D_uT=(\nabla T \cdot u)= [(\dfrac{\sqrt 3}{2}) \sin \sqrt 3-(\dfrac{1}{2}) \cos \sqrt 3] \approx 0.935^{\circ}C/ft$ b. ... | HuggingFaceTB/finemath | |
cosine love
# cosine
## Definitions
### from The American Heritage® Dictionary of the English Language, 5th Edition.
• noun In a right triangle, the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse.
• noun The abscissa at the endpoint of an arc of a unit circle centered at ... | HuggingFaceTB/finemath | |
# How do you find the quotient of (m^4-2m^3+m^2+12m-6)/(m-2) using synthetic division?
Jan 31, 2018
Quotient $\textcolor{g r e e n}{Q = {m}^{2} + m + 14}$, Remainder $\textcolor{g r e e n}{R = \frac{22}{m - 2}}$
#### Explanation:
$\textcolor{w h i t e}{a a} 2 \textcolor{w h i t e}{a a} | \textcolor{w h i t e}{a a} ... | HuggingFaceTB/finemath | |
# Conics in Polar Coordinates: Example 2: Ellipse
in Threespeaklast month
In this video I go over another example on Conics in Polar Coordinates and this time go over the conic given by the formula r = 10/(3 – 2cosθ). The first thing to do whenever we are given a polar equation of a conic is to re-write it in the sta... | HuggingFaceTB/finemath | |
The angle of elevation of a point A on the ground from the top of a tower is 30°. On going 20 m towards the foot of the tower, the angle of elevation changes to 60°. What is the distance of the tower from point A?
This question was previously asked in
RRC Group D Previous Paper 52 (Held On: 28 Sept 2018 Shift 3)
View ... | HuggingFaceTB/finemath | |
# How to Calculate NFL Passer Rating and NCAA Passer Efficiency
Passer Rating/Efficiency Calculator
Attempts a =
Completions c =
Interceptions i =
Touchdown Passes t =
Yards y =
NFL Passer Rating =
NCAA Passer Efficiency =
The US National Football League (NFL) and Canadian Football League (CFL) rate passers on a sc... | HuggingFaceTB/finemath | |
# PSAT MATH PRACTICE TEST
PSAT Math Practice Test :
Math practice test given in this section will be much useful for the students who are preparing for PSAT.
Students can practice the PSAT Math questions given below and verify their answer with the step by step solution explained for each problem.
## PSAT Math Prac... | HuggingFaceTB/finemath | |
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# The straight line x+y-1=0 meets the circle . x^2 +y^2-6x-8y=0 at A and B. Then, the equation of : the circle of which AB is a diameter, is
Step by step solution by experts to help you in doubt clearance &... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Geodesics similar to Flight Path:
Filter by: Content type:
Stage:
Challenge level:
### There are 8 results
Broad Topics > 3D Geometry, Shape and Space > Geodesics
### Flight Path
##### Stage: 5 Challenge Level:
Use simple trigonometry to calculate the distance along t... | HuggingFaceTB/finemath | |
## Seminars and Colloquia by Series
Series: PDE Seminar
Wednesday, February 18, 2015 - 11:05 , Location: Skiles 170 (Special) , Wang, Yaguang , Shanghai Jiaotong University , Organizer:
In this talk, we shall study the stability of the Prandtl boundary layer equations in three space variables. First, we obtain a well-... | open-web-math/open-web-math | |
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Solving for N
# Solving for N - Enter 300000 then then PV Enter 0 then PMT...
This preview shows pages 1–7. Sign up to view the full content.
Solving for N Mark earns \$61,067 at his firm. His salary was \$42,500 when he was hired. He figures that his annual rai... | HuggingFaceTB/finemath | |
# Lines And Angles Class 9 Pdf
• and pdf
• Saturday, May 8, 2021 3:46:32 AM
• 5 comment
File Name: lines and angles class 9 .zip
Size: 13269Kb
Published: 08.05.2021
In the given figure, if then prove that AOB is a line. In the given figure, POQ is a line.
All the question answers are updated for academic year A pla... | HuggingFaceTB/finemath | |
# Inductance to capacitance ratio in LC filter for PWM
When using parallel LC filter for smoothing out PWM, I'm using the following equation to calculate its frequency:
F$_C = \dfrac{1}{2\pi\sqrt{LC}}$
Here is a schematic of an LC filter I'm talking about: simulate this circuit – Schematic created using CircuitLab
... | HuggingFaceTB/finemath | |
### 3.1493 $$\int \frac{(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^4} \, dx$$
Optimal. Leaf size=156 $-\frac{3 b^5 (d+e x)^2 (b d-a e)}{e^7}+\frac{15 b^4 x (b d-a e)^2}{e^6}-\frac{15 b^2 (b d-a e)^4}{e^7 (d+e x)}-\frac{20 b^3 (b d-a e)^3 \log (d+e x)}{e^7}+\frac{3 b (b d-a e)^5}{e^7 (d+e x)^2}-\frac{(b d-a e)^6}{3 e^7 (d+e x)^3... | HuggingFaceTB/finemath | |
# CHISQ.INV
The CHISQ.INV function returns the inverse of the right-tailed probability of the chi-squared distribution. It is commonly used in hypothesis testing where the null hypothesis is that the observed data follows a chi-squared distribution. The function returns the value of the chi-squared random variable at ... | HuggingFaceTB/finemath | |
## Refinements in Ruby: in map: super: no superclass method
I was trying out refinements to see if they would help clean up some parsing code. I liked defining a couple of methods for the String class to respond to, but really didn't want them as permanent monkey patches on String.
And so, I had a pipe mapping module... | open-web-math/open-web-math | |
# 2.1: Estimation of the Mean
Assume that an appropriate guess for the unknown mean $$\mu$$ of some weakly stationary stochastic process $$(X_t\colon t\in\mathbb{Z})$$ has to be found. The sample mean $$\bar{x}$$, easily computed as the average of $$n$$ observations $$x_1,\ldots,x_n$$ of the process, has been identifi... | HuggingFaceTB/finemath | |
# Which parallel divides landmass in half?
We know that 67.3% of land mass is in the northern hemisphere, and 32.7% in the southern. Now we go towards the north from the equator. On which parallel the amount of landmass north of it and south of it is equal?
Roughly half the land on Earth is north of the Tropic of Can... | HuggingFaceTB/finemath | |
# Error in thought:How many onto functions there from a set of 4 element to 2 elements?
• Aug 14th 2011, 09:10 AM
x3bnm
Error in thought:How many onto functions there from a set of 4 element to 2 elements?
There's a math problem in the book Discrete Mathematics with Applications(2nd Edition) by Susanna S. Epp is somet... | HuggingFaceTB/finemath | |
# Introducing Power Series 1
The next few posts will discuss a way to introduce Taylor and Maclaurin series to students. We will kind of sneak up on the idea without mentioning where we are going or using any special terms. In this post we will find a way of approximation a function with a polynomial of any degree we ... | HuggingFaceTB/finemath | |
# Subarray Sum Equals K, applying Math.
Honestly guys, this question will elevate your Math thinking.
Question: Given an unsorted array of integers, find the number of subarrays having sum exactly equal to a given number k.
Eg: If the given array : [5,2,7,9,10,-4,5,7,0,4,3,6] and K = 7 output = 6
Subarrays are : [5,... | HuggingFaceTB/finemath | |
# 3x+5y+4=13 5x+2y+3z=-9 6x+3y+4z=-8
hala718 | High School Teacher | (Level 1) Educator Emeritus
Posted on
3x+5y + 4z = 13.............(1)
5x+2y + 3z = -9............(2)
6x + 3y + 4z = -8................(3)
We will use elimination and substitution method to solve/
First we will subtract (1) from (3).
==> 3x -2y... | HuggingFaceTB/finemath | |
Data Interpretation for IBPS PO, Download DI PDF For IBPS PO Free
Directions: Study the following information carefully and answer the questions given beside:
Four friends, Priyanka, Pinki, Rinki, and Munni start travelling towards a certain distance from the same point and at the same time. The following four pie ch... | HuggingFaceTB/finemath | |
# Measurable Function is Simple Function iff Finite Image Set
## Theorem
Let $\left({X, \Sigma}\right)$ be a measurable space.
Let $f: X \to \R$ be a measurable function.
Then $f$ is a simple function iff its image is finite:
$\# \operatorname{Im} \left({f}\right) < \infty$
### Corollary
Every simple function $f... | HuggingFaceTB/finemath | |
Explain sign of emf using lenz's law
Here, the cause of the EMF is the motion of the rod to the right. The induced EMF establishes a current I in anticlockwise direction, so that the FB acting on the rod is to the left. Thus, opposing the motion of the rod in accordance with lenz’s law.
Direction of EMF alternate met... | open-web-math/open-web-math | |
# The value of DeltaH_(vap) of substance X is 45.7 kJ/mol and its normal boiling point is 72.5 degrees C. How do you calculate DeltaS_(vap), DeltaS_(surr) and DeltaG_(vap) for the vaporization of one mole of this substance at 72.5°C and 1 atm?
Jan 5, 2017
The key here is to realize that phase transitions are phase eq... | HuggingFaceTB/finemath | |
# What is a vector?
What is a vector? A vector is a quantity which has a magnitude and a direction. A vector will always give you the following two pieces of information.
• How much?
• Which way?
If a quantity has only a magnitude, it is called a scalar, not a vector. Mass, volume, and temperature are all good examp... | HuggingFaceTB/finemath | |
# X^3/2 = 27 Please Show How To Solve?
The problem has a nicer answer if it is actually
x^(3/2) = 27
You solve this by raising both sides to the 2/3 power
(x^(3/2))^(2/3) = 27^(2/3)
x^((2/3)*(2/3)) = ((27^(1/3))^2
x = 3^2
x = 9
You can also solve it using logarithms.
(3/2)Log[x] = Log
Log[x] = (2/3)Log ≈ (2/3)*1.4313... | HuggingFaceTB/finemath | |
# Question for math.
how do i solve this?
When x number of units are sold, the price of each unit (in dollars) is given by . Find the unit price when the following quantities are sold: 2,7,9,11.
You seem to have omitted an equation after the word "by"
the equation is :
p= -x/2 + 75
If p = -x/2 + 75 ,
then when x ... | HuggingFaceTB/finemath | |
# algebra need them done sunday october 28 0
1. Find the coordinates of the vertex for the parabola defined and give the domain of the function in set-builder notation:
f(x) = −3(x + 2)2 + 12
2. Use the vertex and intercepts to graph the quadratic function. Give the equation of the parabola’s axis of symmetry. Use t... | HuggingFaceTB/finemath | |
# Increasing/decreasing sequences
by cue928
Tags: sequences
P: 131 I have been asked to find if the following sequence is increasing or decreasing: an = ne^-n So I first multiplied thru by e^n to get: n/e^n Then, I did n+1, so (n+1)*e^-(n+1). I moved the negative exponent to the bottom to get (n+1)/(e^(n+1)) I guess ... | HuggingFaceTB/finemath | |
## University Calculus: Early Transcendentals (3rd Edition)
$2x+2y+z=6$ and $x=1+2t; y=1+2t; z=2+t$
The vector equation can be calculated as: $\nabla f(r_0) \cdot (r-r_0)=0$ The equation of the tangent for $\nabla f( 1,1,2)=\lt 2,2,1 \gt$ is: $2(x-1)+2(y-1)+1(z-2)=0$ or, $2x-2+2y-2+z-2 =0 \implies 2x+2y+z=6$ Now, the ... | open-web-math/open-web-math | |
### Learning Objectives
By the end of this section, you will be able to:
• Use the Product Property to simplify radical expressions
• Use the Quotient Property to simplify radical expressions
Before you get started, take this readiness quiz.
1. Simplify:
If you missed this problem, review (Figure).
2. Simplify:
... | HuggingFaceTB/finemath | |
#### Solution for What is 6 percent of 13050:
6 percent *13050 =
(6:100)*13050 =
(6*13050):100 =
78300:100 = 783
Now we have: 6 percent of 13050 = 783
Question: What is 6 percent of 13050?
Percentage solution with steps:
Step 1: Our output value is 13050.
Step 2: We represent the unknown value with {x}.
Step ... | HuggingFaceTB/finemath | |
The Inverse Cosine and Inverse Tangent Functions (Step-by-Step)
(D4M) — Here is the video transcript for this video.
00:00
you’re now ready to discover what the inverse cosine and inverse tangent
functions are we’ll go through this step by step and we’ll work on some examples
let’s do some math [Music] hi everyone we... | HuggingFaceTB/finemath | |
x Turn on thread page Beta
You are Here: Home
# Enthalpy change help needed watch
1. (Original post by charco)
I didn't disregard the minus...
The enthalpy change for a combustion reaction is exothermic (ie. negative)...
... BUT if you perform the equal but opposite change, i.e. go from the combustion products to ... | HuggingFaceTB/finemath | |
, 21.06.2019 20:00 cduke1919
# The boiling point of water at an elevation of 0 feet is 212 degrees fahrenheit (°f). for every 1,000 feet of increase in elevation, the boiling point of water decreases by about 2°f. which of the following represents this relationship if b is the boiling point of water at an elevation of... | HuggingFaceTB/finemath | |
Convert Bril to L (Bril to Lambert)
## Bril into Lambert
numbers in scientific notation
https://www.convert-measurement-units.com/convert+Bril+to+Lambert.php
## How many Lambert make 1 Bril?
1 Bril = 0.000 000 000 01 Lambert [L] - Measurement calculator that can be used to convert Bril to Lambert, among others.
... | HuggingFaceTB/finemath | |
# Pooltool is now an open source billiards video game rendered in 3D
## Goal
In the last post I implemented a prototype that visualizes shots with pygame. But my plans are much more ambitious than visualizing shots on a pixel-art table. My goal is to turn this simulation into an interactive, 3D game/tool. That’s what... | open-web-math/open-web-math | |
Discover a lot of information on the number 4221: properties, mathematical operations, how to write it, symbolism, numerology, representations and many other interesting things!
## Mathematical properties of 4221
Is 4221 a prime number? No
Is 4221 a perfect number? No
Number of divisors 12
List of dividers 1, 3, 7, 9... | HuggingFaceTB/finemath | |
# Interpreting differential equation models
Consider the model $$\dot{x}=x[x(1-x)-y], \qquad \dot{y}=y(x-a)$$ where $x \geq0$ represents the population of prey and $y\geq0$ represents the population of a predator, with $a\geq0$ as a control parameter.
Describe in words what the various terms in the model may represen... | HuggingFaceTB/finemath | |
# Relationship between volume and surface density
I was not sure if it fits better here, or in the math forum, but this is the problem I am trying to solve:
Say you have a full cylinder of radius $$R$$, height $$L$$, and its uniformly charged with volume density $$\rho$$. And now I draw a hollow cylinder inside (with... | HuggingFaceTB/finemath | |
## 40725
40,725 (forty thousand seven hundred twenty-five) is an odd five-digits composite number following 40724 and preceding 40726. In scientific notation, it is written as 4.0725 × 104. The sum of its digits is 18. It has a total of 5 prime factors and 18 positive divisors. There are 21,600 positive integers (up t... | HuggingFaceTB/finemath | |
As an airplane moves through the air, the air resists the motion of the aircraft, this resistant force is called drag. The force of drag always works in the opposite direction of motion (opposite to the thrust force).
There are many factors that affect the size of the drag force, including the shape of the aircraft, t... | HuggingFaceTB/finemath | |
# When confidence intervals of two parameters do not overlap with the mean of the other, why is it considered to be statistically significant?
Consider two parameters with means A and B with 95% confidence intervals. If the confidence intervals of the parameters do not overlap with the mean of the other, why is it con... | HuggingFaceTB/finemath | |
# How to Find the Geometric Mean | Calculator & Formula
The geometric mean is an average that multiplies all values and finds a root of the number. For a dataset with n numbers, you find the nth root of their product. You can use this descriptive statistic to summarize your data.
The geometric mean is an alternative ... | HuggingFaceTB/finemath | |
# Orthogonal Trajectories
• Dec 1st 2008, 05:43 PM
lakesfan210
Orthogonal Trajectories
"Find the orthogonal trajectories of the family of curves $x^2+y^2=2cx$.
I know the steps: 1) solve for c...okay... $c=(x^2+y^2)/2x$.
2)Find y', and plug the c back into it.
3) set dy/dx equal to the negative reciprocal of y' from ... | HuggingFaceTB/finemath | |
# 4th
1,679 results
### math
I have been doing pascal triangle and do not know where this question comes from? solve for b (3+b)to the 4th power = 1 do I take 3 to the 4th + b to the 4th =1 and then subtract 81 so that -81 =b to the fourth which = 3
### Math help
Which number is equal to 7(3.5 x 10to the 4th) writ... | HuggingFaceTB/finemath | |
# Partial Fractions
• Feb 4th 2010, 03:13 AM
Paymemoney
Partial Fractions
Hi
Need help on expressing the following equation in partial fractions:
$\frac{x^2-x+3}{(x^2-3x+7)(x+2)^2)}$
$=\frac{A}{(x+2)}+\frac{B}{(x+2)^2}+\frac{Cx+D}{x^2-3x+7}$
$A(x+2)(x^2-3x+7)+B(x^2-3x+7)+(Cx+D)(x+2)^2=x^2-x+3$
Equation 1: $A+C=0$
Eq... | HuggingFaceTB/finemath | |
# 2nd order non homogenous DE
1. Sep 9, 2006
### aztect
Does anyone know how to solve this?
$$\frac {d^2V(t)}{dt^2} + \frac{V(t)}{w} = \frac{Vm}{w}$$
2. Sep 9, 2006
### d_leet
What is the difference between V(t) and plain V, is V just a constant, and are w and m also constants? If so then this should be a relativ... | HuggingFaceTB/finemath | |
# math
posted by .
well i need to ask how do you multiply a fraction?
Multiply the numerators. Place the number on top.
Multiply the denominators. Place the number on the bottom.
Reduce the fraction if possible.
## Similar Questions
1. ### Math
could you tell me three equivalent fractions for each: 2/3 8/16 4/10 ... | HuggingFaceTB/finemath | |
# Why do these two different zetas produce the same value?
Zeta[-13] == Zeta[-1] == -1/12
Why do these two different zetas produce the same value?
-
In order to understand the issue, we should provide the underlying definitions. Mathematica helps in verifying appropriate relations and definitions. The main functio... | HuggingFaceTB/finemath | |
# What is a hex file for Kids?
## What is a hex file for Kids?
The hexadecimal numeral system, also known as just hex, is a numeral system made up of 16 symbols (base 16). The standard numeral system is called decimal (base 10) and uses ten symbols: 0,1,2,3,4,5,6,7,8,9. Hexadecimal uses the decimal numbers and includ... | HuggingFaceTB/finemath | |
# If x = √11 - 3, find a simplified expression to x^2 + 8x + 5?
Now substitute this expression (x ^2 + x) ... Find f(x)=4x-5 and g(x) ... (x)=x+4 and g(x)=x^2+8x –3. Find the function (f+g)(x), (f-g)(x), ... - Read more
Page 66 3. _3 – x + 2 2 _ + 3(x – 1) 1 _ x – 1 Simplification of exponential expressions Before we... | HuggingFaceTB/finemath | |
# A very difficult problem
1. Aug 20, 2006
### loom91
This problem, set in the famous IIS entrance exam a few years back, has in the past few days defeated some execellent brains, including those of teachers and math wizes. The problem is simple in its statement:-
A particle is situated at the origin of a line. Aft... | HuggingFaceTB/finemath | |
# What Is Induction Does It Work
What Is Induction ? Does It Work? Essay, Research Paper Introduction: In this essay I will begin by explaining what induction actually is. Then I will highlight the difference between induction as a form of reasoning and deduction in an attempt to clarify the main ‘Problem with inducti... | HuggingFaceTB/finemath | |
# How many significant figures are in the measurement 5.050?
How many significant figures are in the measurement 1.050?:-If you want to know how many significant numbers are there, then you’ve come to the right place. Here, I’ll be talking about how to find them, and how much information they hold.
Finding the right ... | HuggingFaceTB/finemath | |
# A criterion for convergence in the operator norm
Let $L:H\rightarrow H$ be a continuous linear operator and $R_n:H \rightarrow H$ a sequence of continuous linear operators, where $H$ is a Hilbert space. If the $\sum_{n=1}^{k} R_n$ converge pointwise to $L$, meaning for every $x\in H$ we have $$Lx=\sum_{k=1}^{\infty}... | HuggingFaceTB/finemath | |
Anda di halaman 1dari 38
Simple Hypothesis Testing
Detecting Statistical Differences
In The Simplest Case:
and are both known
I
II
III
The Logic of Hypothesis Testing:
The Null Hypothesis
The Tail Region, Critical Values:
Type I and Type II Error
Anthony Greene
The Fundamental Idea
1. Apply a treatment to a sam... | HuggingFaceTB/finemath | |
# Football Kinematics
1. Jan 19, 2015
### postfan
1. The problem statement, all variables and given/known data
Tom throws a football to Wes, who is a distance l away. Tom can control the time of flight t of the ball by choosing
any speed up to vmax and any launch angle between 0◦ and 90◦
. Ignore air resistance and ... | HuggingFaceTB/finemath | |
# Functions question, must at least one be even?
• mr_coffee
In summary, the conversation discusses the concept of choosing n+1 integers from a set of 1 to 2n, and whether at least one of them must be even. The book's explanation states that since there are n even integers in the set, the maximum number of even intege... | HuggingFaceTB/finemath | |
# Write an algorithm for breadth first search and depth first search
This article will help any beginner to get some basic understanding about what graphs are, how they are represented, graph traversals using BFS and DFS. For each vertex u, define u. It then goes to the child on the right and finds the next left-most ... | HuggingFaceTB/finemath | |
```Lesson 1: Generating
Equivalent Expressions
Vocabulary
Variable:
A symbol (like a letter) that represents a
number. It’s like a placeholder for a number.
Examples: x, y, w are common. 3x=15
Numerical Expression:
A numerical expression is a number, or it is
any combination of sums, differences,
products, or... | HuggingFaceTB/finemath | |
## What is Synchronous Speed?
The virtual rotational speed at which the rotating magnetic field is produced in the stator winding of the three-phase induction motor is called Synchronous Speed. The stator winding of the three-phase induction motor has three coils and they are placed and arranged in such a way that, wh... | HuggingFaceTB/finemath | |
# Series Ratio Test: Answer 1/7 - Confirm?
• naspek
In summary, the Series Ratio Test is a method used to determine the convergence or divergence of a series by taking the limit of the ratio of consecutive terms. If the limit is less than 1, the series is absolutely convergent. If the limit is greater than 1, the seri... | HuggingFaceTB/finemath | |
# Frequentist versus Subjective view of Uncertainty
The first fallacy of probability is one that needs to be understood before we even attempt to define what probability means (that's why our definition of probability is left until the next article). It is the fallacy that there is one and only one valid way to measur... | HuggingFaceTB/finemath | |
# Easy Bar Charts Solved QuestionData Interpretation Discussion
Common Information
The bar graph given below shows the foreign exchange reserves of a country (in million US $$) from 1991-1992 to 1998–1999. Q. Common Information Question: 4/5 The foreign exchange reserves in 1996-97 were approximately what percent of... | HuggingFaceTB/finemath | |
# Find the roots of z^5+1=0?
##### 2 Answers
Apr 12, 2017
Working to 3dp there are 5 solutions:
z = -1; -0.309+-0.951; z = 0.809+-0.588i
#### Explanation:
Let $\omega = - 1$, and then ${z}^{5} = \omega$
And we will put the complex number into polar form (visually):
$| \omega | = 1$
$a r g \left(\omega\right) = ... | HuggingFaceTB/finemath | |
simple machines
simple and compound machines
There are six types of simple machines that are the basis of all other machines. They are the inclined plane, lever, wedge, screw, pulley, and wheel and axle. The six types are pictured in the Figure 1.4. Youve probably used some of these simple machines yourself. Most mac... | HuggingFaceTB/finemath | |
Csound
# INTENSITIES
## Real World Intensities and Amplitudes
There are many ways to describe a sound physically. One of the most common is the Sound Intensity Level (SIL). It describes the amount of power on a certain surface, so its unit is Watt per square meter ($\displaystyle\black{W}\//{{m}}^{{2}}$). The range ... | open-web-math/open-web-math | |
# Converting 72 Hours into Days: A Comprehensive Guide Are you trying to figure out how many days is 72 hours? Whether you’re trying to plan a project timeline or track your work hours, understanding the relationship between hours and days is an essential task. This guide will walk you through the process of converting... | HuggingFaceTB/finemath | |
# IIFT 2014 Question Paper
Instructions
For the following questions answer them individually
Question 101
# A Boat is being rowed away in still water, from a 210 metres high cliff at the speed of 3 km/hr. What is the approximate time taken for the angle of depression of the cliff at the boat to change from 60 deg... | HuggingFaceTB/finemath | |
How to
how to do anything...
How To Calculate a Prorated Salary, How To Calculate a Prorated Salary
Whenever a contracted employee, that usually enjoys a monthly or contractual rate, works for a string of days that does not complete a wage cycle stipulated on the contract, a prorated salary is usually given as compe... | 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 | |
## Monthly Archives: February 2011
### The ideal quotient of a monomial ideal by a finitely generated monomial ideal is a monomial ideal
Let $F$ be a field and let $R = f[x_1, \ldots, x_t]$. Let $M = (m_i \ |\ i \in I)$ be a monomial ideal in $R$, and let $n \in R$ be a monomial. For each $i \in I$, let $d_i$ be a gr... | open-web-math/open-web-math | |
## Calculus: Early Transcendentals 8th Edition
Published by Cengage Learning
# Chapter 11 - Section 11.5 - Alternating Series - 11.5 Exercises: 17
Convergent
#### Work Step by Step
Alternating series test: Suppose that we have a series $\Sigma a_n$, such that $a_{n}=(-1)^{n}b_n$ or $a_{n}=(-1)^{n+1}b_n$, where $b_... | HuggingFaceTB/finemath | |
## 1.3 Continuous Distributions
### 1.3.1 Normal
Random variable $$X$$ is distributed $$X \sim N(\mu, \sigma^2)$$ if
$f(X)=\frac{{1}}{{\sigma \sqrt{{2\pi}}}}e^{-.5(\frac{{x-\mu}}{{\sigma}})^2}$.
#### Example
IQ scores are distributed $$X \sim N(100, 16^2$$. What is the probability a randomly selected person’s IQ i... | HuggingFaceTB/finemath | |
# Proving Theorems Using Number Properties
Instructor: Laura Pennington
Laura has taught collegiate mathematics and holds a master's degree in pure mathematics.
This lesson will explain proving theorems using number properties. We will go over multiple examples of using various number properties to prove different t... | HuggingFaceTB/finemath | |
As much as 50% of all food produced in the world ends up as waste every year according to figures from the Institution of Mechanical Engineers. But how much water is needed to produce it? Density Converter / Metric System / Kilogram Per Litre [kg/L] Online converter page for a specific unit. Are you looking for volume ... | HuggingFaceTB/finemath | |
# decimals
posted by paul
write decimal for 47.5%
1. Damon
Divide by 100 which is move decimal two places left.
## Similar Questions
1. ### math againn (converting decimals)
Write 6.4% as a decimal and as a fraction. Write 2 and one fourth as a decimal and as a percent. To convert from percent to decimal simpoy ... | HuggingFaceTB/finemath | |
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# Electricity
(PHYSICS) CLASS: X
BY: S.Mandeep.Singh.Plaha.
Q1. The current passing through a room heater has been halved. What will happen to the heat produced by it? Q2. An electric iron of resistance 20 ohm draws a current of 5 amperes. Calculate the heat produced in 30 seconds. Q3. An elec... | HuggingFaceTB/finemath | |
# How do you evaluate ( ( x / (x-1 ) - (1 / lnx ) ) as x approaches 1+?
Nov 16, 2017
$\frac{1}{2}$
#### Explanation:
$\frac{x}{x - 1} - \frac{1}{\ln x} = \frac{x \ln x - \left(x - 1\right)}{\left(x - 1\right) \ln x} = \frac{x \ln x - x + 1}{x \ln x - \ln x}$
Plugging in 1 gives the indeterminate form $\frac{0}{0}$... | HuggingFaceTB/finemath | |
# Venn diagram and Sets
The Venn diagram is more related to the Boolean algebra. The Venn diagram is the pictorial representation of sets that can contain anything from numbers, alphabets, characters, names and anything. These Venn diagrams shows the logical expression of sets.
What is Set:
A set is a group of colle... | HuggingFaceTB/finemath | |
# Mathematics is like Minecraft, filled with dark caves and unexplored worlds
In his talk “Stranger Things (In Math)”, Professor Ivan Contreras sets out to explore the ‘Nether’ of mathematics: Non-commutative Algebra.
In our daily lives, many of our basic operations are commutative, which means the order of the compo... | HuggingFaceTB/finemath | |
# Add 1 to an integer represented as an array of digits
Problem Statement
This is another LeetCode question I came across, where I need to add 1 to a number.
The number is represented as an integer array where each index position is a digit and therefore a number from 0-9. There are no leading zeros except for the n... | HuggingFaceTB/finemath | |
## 每週問題 April 17, 2017
Let $A$ and $B$ be $n\times n$ matrices. If $A^2B+BA^2=2ABA$, show that $(AB-BA)^n=0$.
## 每週問題 April 10, 2017
Let $\mathbf{x}$ and $\mathbf{y}$ be $n$-dimensional column vectors. Prove that
$\hbox{adj}(I-\mathbf{x}\mathbf{y}^T)=\mathbf{x}\mathbf{y}^T+(1-\mathbf{y}^T\mathbf{x})I$.
Posted in p... | HuggingFaceTB/finemath | |
# Multiple-Choice Questions on Projection of Points and Lines [PDF Included]
Here, I will show you some Multiple-Choice Questions on Projection of Points and Lines in engineering drawings.
At the end of the article, there is a ” PDF downloadable button”. By clicking on that button, you can download the article. I hop... | HuggingFaceTB/finemath | |
# ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Ex 8.4
## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Ex 8.4
Question 1.
Observe the patterns of shapes of letters formed from line segments of equal lengths:
If n shapes of letters are formed, then write ... | HuggingFaceTB/finemath | |
# Math
posted by .
in a quadrilateral ABCD, BC is parallel to AD. AB = BC, 13CD = 20BC and 34AB = 13AD. H is a point on AD such that CH is perpendicular to AD. Prove that 5CH = 3CD
## Similar Questions
1. ### algbra
a parallelogram is a quadrilateral whose opposite sides are parallel. The vertices of the quadrilat... | HuggingFaceTB/finemath | |
# 146407 (number)
146,407 (one hundred forty-six thousand four hundred seven) is an odd six-digits prime number following 146406 and preceding 146408. In scientific notation, it is written as 1.46407 × 105. The sum of its digits is 22. It has a total of 1 prime factor and 2 positive divisors. There are 146,406 positiv... | HuggingFaceTB/finemath | |
Anonymous
Anonymous asked in Science & MathematicsMathematics · 12 months ago
Consider a brick of dimensions, length = 8.0 in (in = inch), width = 4.0 in, and thickness = 3.0 in.?
Consider a brick of dimensions, length = 8.0 in (in = inch), width = 4.0 in, and thickness = 3.0 in. What’s the maximum number of bricks t... | HuggingFaceTB/finemath | |
# If two parallel lines are intersected by a transversal, then the number of pairs of interior angles on the same side of transversal is
This question was previously asked in
Bihar STET Paper I: Mathematics (Held In 2019 - Shift 1)
View all Bihar STET Papers >
1. 1
2. 2
3. 3
4. 4
Option 2 : 2
Free
Bihar STET Paper 2 ... | HuggingFaceTB/finemath | |
# Area of a circle (Rearrangement Method)
A demonstration of how rearranging sectors can help you visualise the area of a circle
Imagine a circle. We know that the circumference of the circle is $$2\pi r$$, where $$r$$ is the radius, but how can we calculate its area? One thing we can do is split the circle into 4 eq... | HuggingFaceTB/finemath | |
# Sampling without replacement with unequal probabilities
## At a glance:
I play around with sampling from finite populations with unequal probabilities, where the R sample() function turns out not to work the way I had expected it to.
31 Aug 2024
## Not proportional to w
A week ago I was surprised to read on Thom... | HuggingFaceTB/finemath | |
# Riemann Zeta Function and Prime Counting Function
## Theorem
For $\operatorname{Re} \left({s}\right) > 1$:
$\displaystyle \log \zeta \left({s}\right) = s \int_0^{\to \infty} \frac {\pi \left({x}\right)} {x \left({x^s - 1}\right)} \mathrm d x$
where $\zeta$ denotes the Riemann Zeta Function and $\pi$ denotes the P... | HuggingFaceTB/finemath | |
# What is the least common multiple of 3 and 4?
$L C M \left(3 , 4\right) = \textcolor{g r e e n}{12}$
Since $3$ and $4$ have no common factors
the Least Common Multiple of $3$ and $4$ is $3 \times 4 = 12$ | HuggingFaceTB/finemath | |
Hello and also welcome to the octagon calculator, the ultimate device for everything octangular. Here, us hope friend will uncover a an excellent tool because that calculating the diagonals, perimeter, circumradius, inradius, and area the a continual octagon. In this octagon area calculator, friend will also find the a... | HuggingFaceTB/finemath | |
# 3.3 Geometric interpretation of group operations
Cayley graphs bring group operations to life, turning abstract algebra into a visual adventure. By representing elements as vertices and generators as edges, we can see multiplication as and inverses as backtracking. This geometric view makes group properties tangible... | HuggingFaceTB/finemath | |
# Use Two Way Tables
In this worksheet, students practise using two-way tables to find probabilities. Key stage: KS 4
GCSE Subjects: Maths
GCSE Boards: AQA, Eduqas, Pearson Edexcel, OCR,
Curriculum topic: Probability
Curriculum subtopic: Probability Combined Events and Probability Diagrams
Difficulty l... | HuggingFaceTB/finemath |
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