question stringlengths 200 50k | answer stringclasses 1
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|---|---|---|
college algebra problems3
label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet \$5
find the slope of the line given these 2 points. (-3,-5) and (1,-6)
Jan 12th, 2015
(-3,-5) and (1,-6)
Now we find the slope of the line using the formula
slope = m = (y2 - y1) / (x2 - x1)
Now
x1 = - 3... | HuggingFaceTB/finemath | |
Search a number
6071 = 13467
BaseRepresentation
bin1011110110111
322022212
41132313
5143241
644035
723462
oct13667
98285
106071
11461a
12361b
1329c0
1422d9
151beb
hex17b7
6071 has 4 divisors (see below), whose sum is σ = 6552. Its totient is φ = 5592.
The previous prime is 6067. The next prime is 6073. The reversal o... | HuggingFaceTB/finemath | |
# Homework Help: Electrical Resistance
1. Jan 23, 2008
### christina_m
1. The problem statement, all variables and given/known data
In Fig. 27-29, R1 = 85.8 Ω, R2 = R3 = 67.5 Ω, R4 = 89.7 Ω, and the ideal battery has emf ε = 6.0 V. (a) What is the equivalent resistance? What is i in (b) resistance 1, (c) resistance ... | HuggingFaceTB/finemath | |
# Calculating total bulk modulus of cylinder, piston and oil
Tags:
1. Mar 31, 2015
### Paavo Palikka
Hello,
I have been thinking about following problem: I have some kind of piston and cylinder with oil. I know the pressure in oil. Let's say it is 500bar. I would want to know how much is displacement of piston.
Let... | HuggingFaceTB/finemath | |
## TN State Board 11th Computer Science Important Questions Chapter 2 Boolean Algebra Part 2
Question 1.
Define Truth Table.
A truth table represents all the possible values of logical variable or statements along with all the possible results of given combination of truth values.
Question 2.
What are logical operato... | HuggingFaceTB/finemath | |
# Heat Transfer Questions and Answers – Free Convection Boiling
«
»
This set of Heat Transfer Multiple Choice Questions & Answers (MCQs) focuses on “Free Convection Boiling”.
1. When evaporation takes place at the liquid-vapor interface, the heat transfer is solely due to free convection and the film coefficient fol... | HuggingFaceTB/finemath | |
It is currently 15 Jul 2020, 10:07 ### 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.
Customized
for You
we will pick new questions that match your level based o... | HuggingFaceTB/finemath | |
# Linked Questions
3answers
300 views
### Evaluate $\lim_{n\to\infty}\sum_{k=1}^{n}\frac{k}{n^2+k^2}$ [duplicate]
Considering the sum as a Riemann sum, evaluate $$\lim_{n\to\infty}\sum_{k=1}^{n}\frac{k}{n^2+k^2} .$$
3answers
186 views
### limit $\lim_{n\to \infty }\sum_{k=1}^{n}\frac{k}{k^2+n^2}$ [duplicate]
How d... | HuggingFaceTB/finemath | |
# Regarding convergence in probability
Let $\{X_n\}_{n\geq 1}$ be a sequence of random variables s.t $X_n \to a$ in probability, where $a>0$ is a fixed constant. I'm trying to show the following: $$\sqrt{X_n} \to \sqrt{a}$$ and $$\frac{a}{X_n}\to 1$$ both in probability. I'm here to see if my logic was sound. Here's m... | HuggingFaceTB/finemath | |
# A line segment has endpoints at (3 ,7 ) and (4 ,5). If the line segment is rotated about the origin by (pi )/2 , translated vertically by -1 , and reflected about the y-axis, what will the line segment's new endpoints be?
Jul 14, 2017
$\left(7 , 2\right) \text{ and } \left(5 , 3\right)$
#### Explanation:
$\text{s... | HuggingFaceTB/finemath | |
# Why do Euler poles for plate motions not stay fixed in time?
Surely if a plate motion is a straight line across a sphere, this can be described by a fixed Euler pole, however I've been reading about a problem which I confess I don't fully understand which is titled the "Three Plate Problem" and talks about if three ... | HuggingFaceTB/finemath | |
# Gracious Living
Symmetric Groups
December 18, 2010, 11:36
Filed under: Algebra, Math, Uncategorized | Tags: , , , ,
We’ve seen symmetric groups before. The symmetric group on an arbitrary set, $S_X$ or ${\rm Sym}(X)$, is the group of bijections from the set to itself. As usual, we’re only interested in the finite... | open-web-math/open-web-math | |
1. ## Integral
How do I solve using substitution?
$\displaystyle \int\sin4xtanxdx$
2. $\displaystyle \int\sin4x\tan{x}~dx=\int\frac{\sin4x\sin{x}}{\cos {x}}~dx=\frac12\int\frac{\cos3x-\cos5x}{\cos{x}}~dx$
3. Originally Posted by Krizalid
$\displaystyle \int\sin4x\tan{x}~dx=\int\frac{\sin4x\sin{x}}{\cos {x}}~dx=\fra... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from quarts to teaspoons is 192.00000000013, which means that 1 quart is equal to 192.00000000013 teaspoons:
1 qt = 192.00000000013 tsp
To convert 140.3 quarts into teaspoons we have to multiply 140.3 by the conversion factor in order to get the volume amount from quarts t... | HuggingFaceTB/finemath | |
### Home > A2C > Chapter 12 > Lesson 12.1.1 > Problem12-18
12-18.
Chloe wants to place her matrioska dolls in a row on a windowsill that is $92$cm long Will her entire set of $20$dolls fit if their diameters in millimeters are given by the formula $t\left(n\right) = 10 + 3n$?
Graph the series from $t\left(1\right)$ ... | HuggingFaceTB/finemath | |
🗨 Bankrupting America
All you ever wanted to know
# How can I get 1/3 cup?
Carla McCrory
BA, Contributor
Measurement Equivalents and Abbreviations
1. 3 teaspoons = 1 tablespoon.
2. 4 tablespoons = 1/4 cup.
3. 5 tablespoons 1 teaspoon = 1/3 cup.
4. 8 tablespoons = 1/2 cup.
5. 1 cup = 1/2 pint.
6. 2 cups = 1 pint.
7... | HuggingFaceTB/finemath | |
# How do you differentiate f(x)=cot(3x) using the chain rule?
Feb 9, 2016
$\frac{\mathrm{du}}{\mathrm{dx}} = - 3 {\csc}^{2} \left(3 x\right)$
#### Explanation:
First, I assume you know that the derivative of $\cot x$ is $- {\csc}^{2} x$.
We substitute $u = 3 x$.
Therefore,
$\frac{\mathrm{du}}{\mathrm{dx}} = 3$.... | HuggingFaceTB/finemath | |
Physics
# Capacitance
Electric capacitors:
• Capacitors are charge storing devices.
• Capacitance of a capacitor is the ratio of charge(Q) given and the potential (V) to which it is raised.
• The SI unit of capacitance is Farad and its CGS unit is Stat farad.
• The dimensional formula of electrical capacitance is []... | HuggingFaceTB/finemath | |
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# Splash Screen
Splash Screen. Five-Minute Check (over Lesson 10–1) Main Idea Example 1: Subtract Like Fractions Key Concept: Subtract Like Fractions Example 2: Subtract Like Fractions Example 3: Subtract Like Fractions. Lesson Menu. I will subtract fractions with like denominators. Main Idea/Vocabulary.
## S... | HuggingFaceTB/finemath | |
# Engineering Thermodynamics/Thermodynamic Systems
## Properties of Pure Substances
A cursory review of properties will introduce the variables of thermodynamics to the student. Properties of substances are things such as mass, temperature, volume, and pressure. Properties are used to define the current state of a su... | HuggingFaceTB/finemath | |
# Type-II error in Hypothesis Testing
I am new to Statistics and was reading about Decision errors in Hypothesis Testing. My question is that why is Type-II error an error at all? From what I understand, it arises when we fail to reject a false null hypothesis. When we fail to reject null hypothesis, it simply means t... | HuggingFaceTB/finemath | |
91176 (number)
91,176 (ninety-one thousand one hundred seventy-six) is an even five-digits composite number following 91175 and preceding 91177. In scientific notation, it is written as 9.1176 × 104. The sum of its digits is 24. It has a total of 6 prime factors and 32 positive divisors. There are 29,120 positive inte... | HuggingFaceTB/finemath | |
# A quick and simple question/clarification on circuits
1. Feb 27, 2017
### Pablo1122
1. The problem statement, all variables and given/known data
http://i.imgur.com/zXJpa9J.png
2. Relevant equations
It = vT/rT
P = I^2R
3. The attempt at a solution
http://i.imgur.com/zXJpa9J.png
This is the question at hand. I've... | HuggingFaceTB/finemath | |
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.
Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A292688 Antidiagonals of the Sierpinski carpet (as binary numbers). 5
%I
%S 1,11,101,1111,11111,101101,1110111,11100111,101000101,111... | HuggingFaceTB/finemath | |
# Homework Help: Rear collision momentum
1. Jun 5, 2005
### Frank_Horrigan
For school I have to explain how whiplash can occur if a driver is at a read light and he seat doesnt support his head, and he gets hit from behind. Now I was thinking that I needed to find the velocity of the car after it had been hit from b... | HuggingFaceTB/finemath | |
# Thermal Expansion Of Solids
In physics, Thermal expansion can be defined as the change in the length, width, height, or volume of any material on changing the temperature. Thermal expansion is very evident in solids as atoms are densely packed. Thermal expansion of solids has loads of applications in day to day lif... | HuggingFaceTB/finemath | |
+0
# Linear Programming
0
53
2
Id like to thank the people who helped a bit on the last question, which is why i am here again ;-;. The teacher has it differently, and im so confused. The full question is this- They were not very clear on how to do this, and ive been sick lately so i have no idea what the constrai... | HuggingFaceTB/finemath | |
# Future of libraries
You know that thanks to the Internet, electronic communications and developing online resources on the Internet annually declining number of traditional readership by 17%. These deal is irreversible evolutionary shift from old books from libraries to immediately available and cheaper information ... | HuggingFaceTB/finemath | |
# What Is A Like Fraction
### What is like fraction with example?
In two or good-natured fractions or a cluster of fractions when the denominator is precisely the identical genuine they are above-mentioned to be resembling fractions. Or you can say that fractions own the identical countless at the bottom. Resembling ... | HuggingFaceTB/finemath | |
# Finding the limit of $\frac{e^{x}+x-\cos(2x)}{x^2}$
How would one find the limit for the following problem.
$x\rightarrow\infty$
$\frac{e^{x}+x-\cos(2x)}{x^2}$
I did the hospital rule.
$\frac{e^x+1+2\sin(2x)}{2x}$
But now I am stuck I did this but I feel it diverges.
$e^x+1+2\sin(2x)*\frac{1}{2x}$
• As a gene... | open-web-math/open-web-math | |
# someone help me
#### bluster
Joined Dec 14, 2006
2
Hi,
Please can someone help me with this problem:
Find the solution of the:
1) ∫ exp -X^2 erf(p_x) dx (0<x<p)
2) ∫ exp -pX^2 erf(ax) dx (0<x<infinity)
3) ∫ exp -pX^2 erf(ax) erf(bx) dx (0<x<infinity)
#### Dave
Joined Nov 17, 2003
6,969
Hi,
Please can someone ... | HuggingFaceTB/finemath | |
Thread: Goldbach conjecture View Single Post
P: 30 Well, let use interval [0,24],and number 24. We ca represent each even number as y=2*x where x is some positive integer,y is even positive integer and y>x.So as y=2x=x+x=x+m+x-m,where m is such that x+m and x-m are primes.So the number of m ,called w where max(w)=n/2 ... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
1st number: 1 10/30, 2nd number: 3 3/6
40/30 + 21/6 is 29/6.
1. Find the least common denominator or LCM of the two denominators:
LCM of 30 and 6 is 30
2. For the 1st fraction, since 30 × 1 = 30,
40/30 = 40 × 1/30 × 1 = 40/30
3. Likewise, for the 2nd fraction, since 6 × 5 = 30,
2... | HuggingFaceTB/finemath | |
# Carats to Grams Converter
Enter the weight in carats below to get the value converted to grams.
## Result in Grams:
5 ct = 1 g
Do you want to convert grams to carats?
## How to Convert Carats to Grams
To convert a measurement in carats to a measurement in grams, divide the weight by the following conversion rat... | HuggingFaceTB/finemath | |
Courses
# Notes | EduRev
## NEET : Notes | EduRev
The document Notes | EduRev is a part of the NEET Course Physics 28 Years Past year papers for NEET/AIPMT Class 11.
All you need of NEET at this link: NEET
Q 1. Average velocity of a particle executing SHM in one complete vibration is: [2019]
A: Aω/2
B: Aω
C:
D... | HuggingFaceTB/finemath | |
Quantile definition statistics
Quantile definition statistics keyword after analyzing the system lists the list of keywords related and the list of websites with related content, in addition you can see which keywords most interested customers on the this website
Keyword Suggestions
Quantile definition
Quantile def... | HuggingFaceTB/finemath | |
# An affordable explanation of the Riemann hypothesis
Original author: Jørgen Veisdal
• Transfer Dedicated to the memory of John Forbes Nash Jr.
Do you remember what "prime numbers" are? These numbers are not divisible by any other than themselves and 1. And now I will ask a question that is already 3000 years old:
... | HuggingFaceTB/finemath | |
시간 제한메모리 제한제출정답맞힌 사람정답 비율
3 초 128 MB83337.500%
## 문제
Byteland is known for wandering flea trainers. Tamed fleas are taught to dance. They make precise leaps in the rhythm of music. On the table the trainer puts in a row numbered coins, but it's not assumed that they are arranged in any specific order. On each coin th... | HuggingFaceTB/finemath | |
抽象代数代写| Lagrange’s theorem
1. Cosets and Lagrange’s theorem
2. Left and right cosets
3. Recall the definition
4. Definition 1
Let $G$ be a group and $H$ a subgroup of $G$. A left coset of $H$ is a subset of $G$ of the form
$$g H={g h, h \in H}$$
In the same way, we can define right cosets to be $H g={h g, h \in ... | HuggingFaceTB/finemath | |
(Note: This post is more technical than most stuff I write here. The intended audience here is not the general public, or even the general educated public: it’s students of geometry, broadly understood. In any case, if you don’t know what a differential form is, you’re probably not going to get much out of this.)
I’d ... | HuggingFaceTB/finemath | |
# Gulfport School District Common Core Pacing Guide Prepared by the Department of Instructional Programs and teachers of the Gulfport School District
Size: px
Start display at page:
Download "Gulfport School District Common Core Pacing Guide Prepared by the Department of Instructional Programs and teachers of the Gul... | HuggingFaceTB/finemath | |
You are on page 1of 3
# IT Project: Lesson Plan Template: Poll Everywhere
Endorsement Subject Class Unit Lesson Resources Standard Elementary Education Math 3rd Grade Math Basic Multiplication and Division Learning How to Multiply and Divide Textbook, Computer and Smartboard
MA 3.1.2 Operations: Students demonstrate ... | HuggingFaceTB/finemath | |
# Factors of 338
Factors of 338 are 1, 2, 13, 26, 169, 338. So, 338 can be derived from smaller number in 3 possible ways using multiplication.
Factors of 338
1, 2, 13, 26, 169, 338
Factor Pairs of 338
1 x 338 = 338
2 x 169 = 338
13 x 26 = 338
Factors of 338 are 1, 2, 13, 26, 169, 338. So, 338 can be derived from sm... | HuggingFaceTB/finemath | |
# Two Way Table Example | 6 Fun Activities | Free Printables
0 Shares
Two way table example means a table where each cell shows the proportion determined for that row and column combination for the two variables. The rows represent the categories for one category variable, and the columns represent the categories of ... | HuggingFaceTB/finemath | |
Thursday
May 5, 2016
Homework Help: Physics
Posted by Sandra on Saturday, February 21, 2009 at 2:53am.
A string passes over a frictionless, massless pulley attached to the ceiling. A mass m1=15.0 kg hangs from one end of this string, and a second massless, frictionless pulley hangs from the other end of the string. ... | HuggingFaceTB/finemath | |
# Teach me how to transform integrals Trig for $\int _{0}^{\pi }\sin ^{2}\left( \psi \right) \sin \left( m\psi \right) d\psi$
How to transform the integral
$$\int _{0}^{\pi }\sin ^{2}\left( \psi \right) \sin \left( m\psi \right) d\psi$$
to
$$\int _{0}^{\pi }\left( \dfrac {1} {2}-\dfrac {1} {2}\cos 2\psi \right) \si... | HuggingFaceTB/finemath | |
# LESSON 9: Logarithmic scales and growth rates
FOCUS QUESTION: How can I use logarithmic scales to understand rates of growth?
## EXAMPLE 1: Load the fetal size data
``` load toRump.txt; % Load the crown-to-rump data
```
## EXAMPLE 2: Define variables to make code easier to read
``` rWeeks = toRump(:, 1); ... | HuggingFaceTB/finemath | |
# Calculus – Limits and Derivatives
Derivative introduced as rate of change both as that of distance function and geometrically
A rate can be explained as the comparison between two quantities of different kinds. A common rate that we use as a physical quantity is a speed. Speed is defined as the rate of distance tra... | HuggingFaceTB/finemath | |
# Trapezoidal, simpsons rule, and higher order approximations
• okkvlt
In summary, the speaker was able to prove the trapezoidal rule and Simpson's rule by using matrices to determine coefficients for the approximating polynomial. They were amazed to see how the terms cancelled out and simplified the formulas. However... | HuggingFaceTB/finemath | |
# Rubik’s cube: how to figure it out
So you decided to try and solve a Rubik’s Cube. Maybe it is for a bet. Maybe your parents grounded you for playing too much Minecraft and now you have to find an off-line hobby. Maybe you have been fascinated by this toy since you were a kid and now that you have retired from work ... | HuggingFaceTB/finemath | |
You are on page 1of 11
# Adama University Department Of
Electrical Engineering
CHAPTER ONE
Number System and Numerical Error Analysis
1.1 Introduction
This section is devoted to introducing review of general information concerned with the
quantification of errors such as the concept of significant digits is review... | HuggingFaceTB/finemath | |
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.
Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS"... | HuggingFaceTB/finemath | |
Solve Me!
Mix-and-Match
Combination or Permutation
Identify the Parts
How'd You Do That?
100
How many ways can we order a four topping pizza if there are seven toppings to chose from?
35
100
There are 11 clowns in a circus, how many ways can you group the clowns if only three preform in a show/ Would this be a combinat... | HuggingFaceTB/finemath | |
# Output a Latin Square
An $$\n\times n\$$ Latin Square is a grid containing exactly $$\n\$$ distinct values where the values in each row and column are distinct. For example,
$$\begin{matrix} A & B & C \\ C & A & B \\ B & C & A \\ \end{matrix}$$
is a Latin square as no row or column contains a repeated value.
You ... | open-web-math/open-web-math | |
# Hints
We have recently added a new feature to Snip called hints which are collapsible sections within a document. It’s a simple but powerful feature for teachers to create interactive assignments for their students who are learning remotely.
Here is an example of what hints might look like in an Algebra assignment (... | HuggingFaceTB/finemath | |
How do you solve the inequality 7+14x<21 or 8x>12?
Nov 20, 2017
$x < 1$ or $x > \frac{3}{2}$
Explanation:
We will start by solving the first inequality, then the second, and comparing our answers to get a range for x.
$7 + 14 x < 21$
$1 + 2 x < 3$
$2 x < 2$
$x < 1$
And the second:
$8 x > 12$
$x > \frac{12}{8}$
$... | HuggingFaceTB/finemath | |
# Solution
Determine if the following is an identity: $$\displaystyle{\sin t \cos t = \frac{1}{\tan t + \cos t}}$$
There is not much we can do to simplify the left side, so we work with the right side first:
$$\begin{array}{rclc} \frac{1}{\tan t + \cos t} &=& \frac{1}{\displaystyle{\frac{\sin t}{\cos t} + \frac{\cos... | HuggingFaceTB/finemath | |
# Determine if a point is within the range of two other points that create infinitely extending lines from an origin
If I have three points that create an angle, what would be the best way to determine if a fourth point resides within the angle created by the previous three?
Currently, I determine the angle of the li... | HuggingFaceTB/finemath | |
# Boolean algebra: (A'+B)(A+C)
I have a little problem with this expression:
x = (A'+B)(A+C)
I know it can be simplified to:
A'C+AB
since ive used some software to simplify it, but i simply can't see how it is done.This is what i've done so far:
(A'+B)(A+C) =>
A'A + AB + A'C + BC =>
0 + AB + A'C + BC =>
AB + A'C ... | HuggingFaceTB/finemath | |
Learning Library
Who we are
Guidance
# Box-and-Whisker Plots
This collection of 10 worksheets that can help build a foundation for data analysis, graphing, and creating box-and-whisker plots.
Click on a worksheet in the set below to see more info or download the PDF.
### How to Find the Median
Practice finding the... | HuggingFaceTB/finemath | |
# What is the maximum number of solutions a Sudoku puzzle can have?
I've seen Sudoku puzzles that can be solved two different ways. Referring to a traditional 9x9 grid:
1. Is it possible for a Sudoku puzzle to have more than two solutions? If so, what is the maximum number of solutions a single Sudoku puzzle can have... | HuggingFaceTB/finemath | |
# 3 paper dots fall from a 3-hole punch
• pullmanwa
In summary, the probability of three paper dots falling from a 3-hole punch and forming a perfect equilateral triangle on the floor x-y plane is zero. This is because the distribution of the dots, as specified by the OP, does not allow for such a specific and precise... | HuggingFaceTB/finemath | |
48÷2(9+3) = D'awww - Page 7 - Fandom Forums
Fandom Register Arcade FAQ Calendar Mark Forums Read
Fandom Forums 48÷2(9+3) = D'awww
User Name Remember Me? Password
Spam Zone Come here to post anything that doesnt fit into the rest of the forum topics.
Thread Tools Display Modes
04-10-2011, 01:19 PM #91
ninjalo... | HuggingFaceTB/finemath | |
Tamil Nadu Board of Secondary EducationHSC Science Class 11th
# Tamil Nadu Board Samacheer Kalvi solutions for Class 11th Mathematics Volume 1 and 2 Answers Guide chapter 2 - Basic Algebra [Latest edition]
## Chapter 2: Basic Algebra
Exercise 2.1Exercise 2.2Exercise 2.3Exercise 2.4Exercise 2.5Exercise 2.6Exercise 2.... | HuggingFaceTB/finemath | |
# Deriving Linear Regression update rule: Why do we set the derivative of cost funtion to 0 to minimize it?
(This question may be more about Math in general but I have a specific context in mind and hence am asking this here as opposed to math.stackexchange)
I'm going through Andrew Ng's lecture notes on Machine Lear... | HuggingFaceTB/finemath | |
Autoregression
Autoregression :
Autoregression is a time series analysis technique that uses previous values of a time series to predict future values. This technique is commonly used in forecasting and modeling time-series data, such as stock prices, demand for products, or weather patterns.
For example, if we have ... | HuggingFaceTB/finemath | |
# 5 Fun Ways to Use a Multiplication Chart Multiplication charts are a staple in many Grades 3-6 classrooms. But how can you use this important tool in a fun way to reinforce multiplication facts? Multiplication charts are more than just a reference tool to find answers to problems – they can support students in a fun... | HuggingFaceTB/finemath | |
# Trigonometry
Given that sin(2/(√229))and that 0∘0∘ < θθ < 90∘90∘, with the aid of a diagram and without the use of a calculator determine:
a) cosθcosθ =
b) tanθtanθ =
c) tanθ÷cscθtanθ÷cscθ =
d) sinθ÷cosθsinθ÷cosθ =
e) tanθ secθtanθ secθ =
f) 8sinθ −1cos2θ8sinθ −1cos2θ =
1. 👍
2. 👎
3. 👁
y=2
r=√229
s... | HuggingFaceTB/finemath | |
## 数学竞赛代写|滑铁卢数学竞赛代写Waterloo Math Contest代考|Let t be a real number.
From $(\mathrm{a}), f(0)=0$ and $g(0)=1$. Thus, $(f(0))^2+(g(0))^2=1$ and so
\begin{aligned} 1=&(f(t+(-t)))^2+(g(t+(-t)))^2 \ =&(f(t) g(-t)+g(t) f(-t))^2+(g(t) g(-t)-f(t) f(-t))^2 \ =&(f(t))^2(g(-t))^2+2 f(t) g(-t) g(t) f(-t)+(g(t))^2(f(-t))^2 \ & \qua... | open-web-math/open-web-math | |
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# Linear Algebra
### Complementary Angles and Systems of Equations
Two angles are complementary of each other. Twice one angle is equal to the other angle plus the product of three and five. A. Set up a system of linear equations to represent the two angles. (Hint: You will need two equations... | HuggingFaceTB/finemath | |
# Elementary problems in Ramsey number theory for RMO
Question 1:
Show that in any group of 6 people there will always be a subgroup of 3 people who are pairwise acquainted or a subgroup of 3 people who are pairwise strangers.
Solution 1:
Let $\{ A, B, C, D, E, F\}$ be a group of 6 people. Suppose that the people k... | HuggingFaceTB/finemath | |
## 52306
52,306 (fifty-two thousand three hundred six) is an even five-digits composite number following 52305 and preceding 52307. In scientific notation, it is written as 5.2306 × 104. The sum of its digits is 16. It has a total of 2 prime factors and 4 positive divisors. There are 26,152 positive integers (up to 52... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Working systematically similar to More Transformations on a Pegboard:
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### There are 340 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Working systematically
### More Transformations on a Pegboar... | HuggingFaceTB/finemath | |
# How Do I Find The Percentage
roadman | 13:20 Mon 20th Sep 2021 | How it Works
is there an easy division to find the percentage
1 to 6 of 6
For x as a percentage of y, the formula is x divided by y, times 100 E.g. for 3 as a percentage of 12, it's 3 divided by 12, times 100 3 divided by 12 is 0.25 0.25 times 100 is... | HuggingFaceTB/finemath | |
Session W10: Focus Session: Spin Transport and Spin Hall Effect
2:30 PM–5:18 PM, Thursday, March 24, 2005
LACC Room: 153B
Chair: Allan MacDonald, University of Texas
Abstract ID: BAPS.2005.MAR.W10.1
Abstract: W10.00001 : Observation of spin Coulomb drag in a two-dimensional electron gas
2:30 PM–3:06 PM
Preview Ab... | open-web-math/open-web-math | |
# Precalculus: Trigonometric Functions
Math
## Inverse Trigonometric Functions
Summary Inverse Trigonometric Functions
The inverses of the trigonometric functions (x = sin(y), x = cos(y), etc.) aren't functions, they are relations. The reason they are not functions is that for a given value of x, there are an infi... | HuggingFaceTB/finemath | |
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# Basic Exponential Functions
## Functions where the input variable is found in the exponent.
Estimated11 min... | HuggingFaceTB/finemath | |
# Can flow rate (or pressure) at the end increase if the diameter of pipe increased and then gradually reduced along the way?
We have a water tank that's just 6.5 - 7 ft above ground level. The length of the pipe from water tank to sink tap would be around 25 ft. Output from water tank is an 1.5 inch pipe which then r... | HuggingFaceTB/finemath | |
I was attending a course of Bayesian Statistics where this problem showed up:
There is a number of individuals, say 12, who take a pass/fail test 15 times. For each individual we have recorded the number of passes, which can go from 0 to 15. Because of confidentiality issues, we are presented with rounded-to-the-close... | HuggingFaceTB/finemath | |
# Derivative Explained
In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value). Derivatives are a fundamental tool of calculus. For example, the derivative of the position of a moving ... | HuggingFaceTB/finemath | |
# MATHS YOU CAN DO AT HOME
GEOMETRY
MONEY
What does your child need to know?
Year 2: x2, x5, x10
Resource ideas -
•Print out and laminate the times table mats , alternatively print out and display the large times tables poster to aid solving times tables questions (both up to 12 x 12). (Tip - Create a handy trav... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from tablespoons to teaspoons is 3.0000000000122, which means that 1 tablespoon is equal to 3.0000000000122 teaspoons:
1 tbsp = 3.0000000000122 tsp
To convert 403 tablespoons into teaspoons we have to multiply 403 by the conversion factor in order to get the volume amount ... | HuggingFaceTB/finemath | |
## When am I ever going to use this (math)?
When I was a professional math tutor I was frequently asked:
“When am I ever going to use this?”
Well, I’ll tell you what I told them:
## A “Proof by Picture” of the Angle Addition Formulas
All you need to know in order to follow the proof is:
• The basic trig identities... | HuggingFaceTB/finemath | |
# Stoichiometry is the study of quantitative i e
• Slides: 36
• Stoichiometry is the study of quantitative (i. e. , numerical) aspects of chemical equations. • A balanced equation gives the amount in moles of each substance in the reaction, making it possible to calculate the masses of reactants or products in the re... | HuggingFaceTB/finemath | |
# No broken eggs puzzle
Three men went to buy eggs from an eggs seller:
1. The first ordered half of the seller's stock plus half of an egg.
2. The second ordered half of what's left in the stock plus half of an egg.
3. The third ordered half of what's left in the stock plus half of an egg.
How many eggs did the sel... | HuggingFaceTB/finemath | |
# LESSON 9-8 PROBLEM SOLVING CIRCLES AND CIRCUMFERENCE
By how many meters does the measured depth differ from the actual depth? After that, we will discuss the worksheet problems as a class, and some of you will share your work on the board. Quick Look Grade Level: Well it is important to engineers. How much fabric do... | HuggingFaceTB/finemath | |
# At the base of a straight prism, a rhombus with diagonals equal to 16 cm and 30 cm.
At the base of a straight prism, a rhombus with diagonals equal to 16 cm and 30 cm. Determine the area of the lateral surface of the prism if its volume is 4800 cm ^ 3
Let’s define the area of the base ABCD, which is a rhombus.
Sav... | HuggingFaceTB/finemath | |
# point from bary coords
THE POST BELOW IS MORE THAN 5 YEARS OLD. RELATED SUPPORT INFORMATION MIGHT BE OUTDATED OR DEPRECATED
On 20/10/2005 at 07:13, xxxxxxxx wrote:
User Information:
Cinema 4D Version: 9.5
Platform: Windows ; Mac ;
Language(s) : C++ ;
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Hi,
does anybody know how to compute a po... | HuggingFaceTB/finemath | |
Theory of Machines Questions and Answers – Grashof’s Law
This set of Theory of Machines Multiple Choice Questions & Answers (MCQs) focuses on “Grashof’s Law”.
1. What is the condition involved in Grashof’s law?
a) s+l≥p+q
b) s-l ≥ p-q
c) s+l≤p+q
d) s-l ≤ p-q
Explanation: According to Grashof’s law, in a four bar mec... | HuggingFaceTB/finemath | |
PDA
View Full Version : Power Equation
BECMG
23rd Apr 2010, 17:29
This is a small paragraph from my book.
The power required for the flight depends on the thrust required and flight velocity.By definition,the propulsive horsepower required is related to thrust required and flight velocity by the following equation
... | HuggingFaceTB/finemath | |
Efficient Frontier
Last update on .
The concept of an efficient frontier is a cornerstone of modern portfolio theory. It provides an excellent way to not only understand the relationship between the risk, return and correlation within a portfolio but also to visualize this data in an effort to optimize your portfolio... | HuggingFaceTB/finemath | |
## Pi Day activities
• ACTIVITY 1 - PI TANGRAM (CRO)
The goal of the game is to combine tangram in three forms:
1. Number π
2. Square
3. An isosceles right triangle.
You can play in Geogebra or print a template
PI TANGRAM - eng.docx
(I have made new folder in our common GeoGebra book - Pi day.
You can copy the... | HuggingFaceTB/finemath | |
Equal Sets. is used to denote that an object is not a member of a set. does not matter. Therefore, A = … For example: Set Q is inhabited, and contains the following three elements: x, y, z Q = {x, y, z} Set Ø (Null Set) is empty. the empty set), creating infinite cardinal numbers. It may seem bizarre that such a thing ... | HuggingFaceTB/finemath | |
# Kernel Functions-Introduction to SVM Kernel & Examples
Join DataFlair on Telegram!!
## 1. Objective
In our previous Machine Learning blog we have discussed about SVM (Support Vector Machine) in Machine Learning. Now we are going to provide you a detailed description of SVM Kernel and Different Kernel Functions and... | HuggingFaceTB/finemath | |
#### ElitmusZone
ElitmusZone » Unit Digit Method
# Unit Digit Method
Unit Digit Method (Hit and trial approach) applies to those Cryptarithmetic Problems, where you don’t have even a single clues to start solving the cryptarithmetic problem. In this case you have to start hit and trial with the possible values of u... | HuggingFaceTB/finemath | |
# Counting different kinds of permutations
• What's the number of strings of digits and letters of length $7$ without repetition?
• Solution 1. Pick $2$ digits, $4$ consonants, and $1$ vowel and then line them up: $\binom{10}{2}\binom{21}{4} \cdot 5 \cdot 7!$
• Solution 2. Pick $2$ positions in the string for the di... | HuggingFaceTB/finemath | |
# GATE Online Mock Exam Quiz!
Approved & Edited by ProProfs Editorial Team
At ProProfs Quizzes, our dedicated in-house team of experts takes pride in their work. With a sharp eye for detail, they meticulously review each quiz. This ensures that every quiz, taken by over 100 million users, meets our standards of accura... | HuggingFaceTB/finemath | |
International Maths Olympiad Forum By SOF Olympiad Trainer
# User Forum
Subject :IMO Class : Class 7
## Ans 1:
Class : Class 8
Let P=x Then 3x=R 1/2S=R or S=2R=2(3x)=6x 2x=Q Q+S=? ABCD=P+Q+R+S =x+2x+3x+6x =12x (Q+S)/(ABCD) =(2x+6x)/(12x) =2/3
Subject :IMO Class : Class 7
## Ans 1: (Master Answer)
Class : C... | HuggingFaceTB/finemath | |
Electricity and Magnetism
# Series and parallel resistors Given $R_1 = 3.0\ \Omega,$ $R_2 = 6.0\ \Omega,$ $R_3 = 4.0\ \Omega,$ $R_4 = 8.0\ \Omega,$ $R_5 = 6.0\ \Omega,$ $R_6 = 3.0\ \Omega,$ $R_7 = 6.0\ \Omega$ and $R_8 = 12.0\ \Omega,$ what is the approximate overall equivalent resistance? In the circuit above, $V=9.... | HuggingFaceTB/finemath | |
# Class 9 Maths NCERT Solution for Area of Parallelograms part 1
In this page we have NCERT book Solutions for Class 9th Maths:Area of Parallelograms for EXERCISE 1 . Hope you like them and do not forget to like , social share and comment at the end of the page.
Question 1
Which of the following figure lie on the sam... | HuggingFaceTB/finemath |
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