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# The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Βιβλίο 1
### Περιεχόμενα
Definitions 1 Postulates 7 Definitions 66 BOOK III 87 BOOK IV 134 BOOK V 155
BOOK VI 197 Definitions 258 Propositions 264 Propositions 289 APPENDICES 297
### Δημοφιλή αποσπάσματα
Σελίδα 39 - To draw a straight lin... | HuggingFaceTB/finemath | |
# Gibbs Free energy change
## Main Question or Discussion Point
In reaction there is a Gibbs Free energy change. I'm still not sure what this means as in my secondary school years we just learned of one component of it which is the enthalpy change. That was simple as it just showed how much heat was released or absor... | HuggingFaceTB/finemath | |
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# Algebra in Year 6 (age 10–11)
In Year 6, your child will start learning about algebra. They will use simple formulae, wil... | HuggingFaceTB/finemath | |
# Thread: Find the diameter of a circle given linear velocity???
1. Hello all! I need help with a certain type of problem. I do not know how I can find the diameter of a circular object given it's linear velocity. Here is an example problem, and I would love any explanation you could give me! Thanks! )
Leaving the Fe... | HuggingFaceTB/finemath | |
# NavList:
## A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Message:αβγ
Message:abc
Add Images & Files Posting Code: Name: Email:
Lunars: series vs. triangle methods
From: Frank Reed CT
Date: 2004 Sep 26, 20:53 EDT
Fred H wrote:
"The approxim... | HuggingFaceTB/finemath | |
# Engaging students: Solving two-step algebra problems
In my capstone class for future secondary math teachers, I ask my students to come up with ideas for engaging their students with different topics in the secondary mathematics curriculum. In other words, the point of the assignment was not to devise a full-blown l... | HuggingFaceTB/finemath | |
# Matrix and projection
• Denver Dang
In summary: A = QR, then you can use it to show p = QQTb, but not the other way around. (How could you possibly get from p = QQTb to A = QR?) So the question is, how do you show QQT = A(ATA)-1AT directly?Here's a hint: writeA = QRand substitute this into the right-hand side of QQT... | HuggingFaceTB/finemath | |
# Voltage Divider
#### Steve1992
Joined Apr 7, 2006
100
Vout = Vin x R2 / (R1 + R2)
If Vin is 12V and I want Vout to be 4.5V
What would the equation/math be to find the values for R2 and/or R1 if given.
If R1 is given R2 would be a common factor?
#### Papabravo
Joined Feb 24, 2006
21,225
Originally posted by Stev... | HuggingFaceTB/finemath | |
#### Notes Data Applets Examples ## Statistical Tests for Ordinal Data
Traditional statistical tests, such as T-Tests and Analysis of Variance, require the computation of means and standard deviations.
• These computations only make sense when the data are numeric.
In this topic we present statistical tests that onl... | HuggingFaceTB/finemath | |
Monday, May 24, 2021 10:56:00 AM
# Switching Theory And Logic Design Short Questions And Answers Pdf
File Name: switching theory and logic design short questions and answers .zip
Size: 2704Kb
Published: 24.05.2021
Explain what is a combinational circuit? In a combinational circuit, the output depends upon present in... | HuggingFaceTB/finemath | |
Question
# The mean cost for college textbooks per semester is \$636 with a standard deviation of \$117....
The mean cost for college textbooks per semester is \$636 with a standard deviation of \$117. If all possible random samples of size 49 are taken from this population, determine the following:
a) name of the S... | HuggingFaceTB/finemath | |
There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Mental Methods. In the right column below are links to related online activities, videos and teacher resources.
A lesson starter does not have to be on the same topic as the main part ... | HuggingFaceTB/finemath | |
# (Self-Answered) A Nice Substitution for an Improper Integral
Evaluate
$$\int_0^{+\infty} \frac{1}{(1+x^2)(1+x^{\phi})}\, dx \, \, \, (\phi>0)$$
Solution
$$\small \int_0^{+\infty} \frac{1}{(1+x^2)(1+x^{\phi})}\, dx = \int_0^{1} \frac{1}{(1+x^2)(1+x^{\phi})}\, dx + \int_1^{+\infty} \frac{1}{(1+x^2)(1+x^{\phi})}\, d... | HuggingFaceTB/finemath | |
# GCSE Science/The motor effect
The motor effect is the term used when a current-carrying wire in the presence of a magnetic field experiences a force. A simple experimental demonstration will show you that this is true.
Place a wire that is connected to a power pack in between the poles of a horseshoe magnet. Turn o... | HuggingFaceTB/finemath | |
# Inscribed square problem
Unsolved problem in mathematics:
Does every Jordan curve have an inscribed square?
The inscribed square problem, also known as the square peg problem or the Toeplitz' conjecture, is an unsolved question in geometry: Does every plane simple closed curve contain all four vertices of some squ... | HuggingFaceTB/finemath | |
# Class 10 Maths Basic Term 2 Sample Paper 2022 (Solved)
## Maths Basic Term 2 Sample Paper 2022(Solved)
Class 10 Maths Basic Term 2 Sample Paper 2022, (Maths) exams are Students are taught thru NCERT books in some of the state board and CBSE Schools. As the chapter involves an end, there is an exercise provided to a... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## What is 84 percent of 100?
84% of 100 is 84
#### Working out 84% of 100
1. Write 84% as 84/100
2. Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
84/100 of 100 = 84/100 × 100
3. Therefore, the answer is 84
If you are using... | HuggingFaceTB/finemath | |
It's a non-homogeneous linear equation with constant coefficients, that you can solve by the variation of constant formula. In complex notation, let $z(t):=f(\frac{t}{n})+ \frac{i}{n}f'(\frac{t}{n})$ for $t\in[0,n]$, and let $h(t):= \frac{1}{n^2}(\sin \frac{\theta t}{n} )^n$. So $z(0)=0$, and $\dot z(t)+iz(t)=ih(t)\ ,$... | HuggingFaceTB/finemath | |
Home > Grade 8 > Functions > Functions
# Functions
Directions: List 2 points form a line that satisfies the following (you can use numbers 0-5, but you can only use a number once). Write the equation of the line represented by the points:
a) Its rate of change must be larger than 2
b) Its y-intercept must be smalle... | HuggingFaceTB/finemath | |
Conversion formula
The conversion factor from days to months is 0.032854884083862, which means that 1 day is equal to 0.032854884083862 months:
1 d = 0.032854884083862 mo
To convert 27.9 days into months we have to multiply 27.9 by the conversion factor in order to get the time amount from days to months. We can als... | HuggingFaceTB/finemath | |
# Math HElP!!!!!!!!
A group of students decided to look at rectangles that are spuare. They find that no matter what size square they drew, every square was similar to shape B in the Shapes Set and to all other squares. They found that all squares are similar! They decided to call a square an All-Similar shape.
The st... | HuggingFaceTB/finemath | |
# question on properties of circle 6
• Nov 8th 2009, 04:31 AM
ukorov
question on properties of circle 6
Referring to the attached pic:
A quadrilateral ACQR is inscribed in a circle. Diagonals are drawn to intersect at T such that angle $\displaystyle ATR = 76^o$
Both S, P and B are points outside the circle.
AC and RQ... | HuggingFaceTB/finemath | |
## Book X, Proposition 29
To find two rational straight lines commensurable in square only and such that the square on the greater is greater than the square on the less by the square on a straight line commensurable in length with the greater.
Εὑρεῖν δύο ῥητὰς δυνάμει μόνον συμμέτρους, ὥστε τὴν μείζονα τῆς ἐλάσσονο... | HuggingFaceTB/finemath | |
# How many 4 digit number can be formed by 0,1,2,3,4,5 divisible by 4
How many 4 digit number can be formed by 0,1,2,3,4,5 divisible by 4 with repetition
My Approach:
Last two digits can be 00,04,12,20,24,32,40,44,52 that is 9 possibilities for last two digits.
For the hundredth place digit all 6 possibilities exis... | HuggingFaceTB/finemath | |
# Brian Austin Green – Future Predictions (11/10/2019)
How will Brian Austin Green fare on 11/10/2019 and the days ahead? Let’s use astrology to conduct a simple analysis. Note this is not at all guaranteed – don’t get too worked up about the result. I will first find the destiny number for Brian Austin Green, and the... | HuggingFaceTB/finemath | |
Bruce bought four packages of cornbread mix that each weighs x pounds. He also bought a package of biscuit mix that weighs pounds more than one package of cornbread mix.
If the total weight of the items that Bruce bought is 31 pounds, what is the weight, in pounds, of each package of cornbread mix? Please help and exp... | HuggingFaceTB/finemath | |
+0
# Modeling with Sinusoidal Functions.
+3
73
4
+75
Hello!~
I'm relatively new here on Web2.0calc, but I hope to become a member of this amazing community! My friend told me it was a great site for people who want to learn, genuinely.
Vlad is playing on a swing set.
His horizontal distance $$D(t)$$ from the cent... | HuggingFaceTB/finemath | |
# How To Find Critical Numbers Calculator
#### How To Find Critical Numbers Calculator
How To Find Critical Numbers Calculator
# How To Find Critical Numbers Calculator
## Introduction
When dealing with functions in calculus, it is often crucial to identify critical numbers. Critical numbers are
the values of ‘x’... | HuggingFaceTB/finemath | |
# What is the weight of 20 ml of water?
## What is the weight of 20 ml of water?
Note: We also know this because the known density of pure water is 1 g/mL. Thus, 20 mL of pure water weighs 20 g.
## What is the mass of 20 ml in grams?
Milliliter to Gram Conversion Table
Volume in Milliliters: Weight in Grams of:
Wa... | HuggingFaceTB/finemath | |
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Warning: include() [function.include]: Failed opening '/var/chroot/home/con... | open-web-math/open-web-math | |
Instructions
Directions for following three questions: Answer the following questions based on the information given below: There are 100 employees in an organization across five departments. The following table gives the department-wise distribution of average age, average basic pay and allowances. The gross pay of a... | HuggingFaceTB/finemath | |
mathleaks.com mathleaks.com Start chapters home Start History history History expand_more Community
Community expand_more
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## Quantum Techniques for Reaction Networks
Fans of the network theory series might like to look at this paper:
• John Baez, Quantum techniques for reaction networks.
and I would certainly appreciate comments and corrections.
This paper tackles a basic question we never got around to discussing: how the probabilist... | open-web-math/open-web-math | |
Other
#### Description:
This is a four-page student guide developed for use with the PhET "Wave on a String" simulation. Written by a high school teacher, the activity provides a roadmap for secondary physical science students to learn about wave properties in an interactive environment. Students explore how amplitud... | HuggingFaceTB/finemath | |
## Inscribed Angles - YourTeacher.com - Geometry Help - Free Educational videos for Students in k-12
Transcript
00:0
#### DESCRIPTION:
Students learn the definition of an inscribed angle, and that the measure of an inscribed angle is equal to ½ the measure of its intercepted arc. Students also learn the following t... | HuggingFaceTB/finemath | |
# Understanding the set of latent variables $Z$ in variational inference
I have been trying to understand variational inference (in a Bayesian context) where we’re trying to approximate $$p(Z|X)$$ where $$Z$$ is the set of latent variables and $$X$$ is the set of observable variables/data points, and I am not exactly ... | open-web-math/open-web-math | |
# Understanding the Meaning of Integration in Math
• MHB
• ango
In summary, integration is a mathematical concept used to find the area under a curve or the accumulation of a quantity over a given interval. It is important in various fields and has two main types: definite and indefinite. Integration is the inverse op... | HuggingFaceTB/finemath | |
# What Happens When You Put a Book on an Air Bag?
Dot Physics blogger Rhett Allain uses analyzes a video of an airbag launching a textbook to figure out how high it flew off the screen.
Here is a cool video from the New York Physics Teachers Alliance meeting recently (video by Jeffery Yap and Michael Belling).
You m... | HuggingFaceTB/finemath | |
# Math Clip Art--Base Ten Blocks--50
Number Models
## Description
This image is a crucial component of the base ten blocks series, demonstrating the modeling of the number 100. It employs a template in the form of a placemat where base ten blocks representing thousands, hundreds, tens, and ones are strategically pla... | HuggingFaceTB/finemath | |
# Cross Product
Article published: http://betterexplained.com/articles/cross-product/
Great question. I think the primary question is to ask, “When we have a force A, acting on a radius B, what is the resulting torque?”
We get |A| * |B| * sin(theta). [In my head, I see sine as a percentage – it shows what percent of... | HuggingFaceTB/finemath | |
# Circular motion of bucket of water
#### alchemist
when a bucket is filled with some water, you take it up and swing it around, if you swing it hard enough, the water in it would not spill out, why is this so?is it because the reaction force from the centre of rotation is acting on the water?
Related Other Physics ... | HuggingFaceTB/finemath | |
# Circles on the complex plane
#### StephenPrivitera
In general, |z - zo|=r, where z_o is a fixed point and r is a positive number, represents a circle centered at z_o and with radius r. |z - z1|=k|z - z2|, where z_1 and z_2 are fixed points, also apparently represents a circle, except maybe in the case where k=1. Th... | HuggingFaceTB/finemath | |
# Maths MCQs
## The product of two numbers is 720 and their Highest common factor is 4. What is the Least common multiplier of these numbers?
Question: The product of two numbers is 720 and their Highest common factor is 4. What is the Least common multiplier of these numbers? Answer: 3. 180 Solution: product of two ... | HuggingFaceTB/finemath | |
wu :: forums (http://www.ocf.berkeley.edu/~wwu/cgi-bin/yabb/YaBB.cgi) riddles >> putnam exam (pure math) >> Disjoint Sets (Message started by: Barukh on Dec 22nd, 2013, 12:19am) Title: Disjoint Sets Post by Barukh on Dec 22nd, 2013, 12:19am Consider a set of N different values.By randomly choosing elements from N, two... | HuggingFaceTB/finemath | |
# Big O Factorial Time Complexity Jared Nielsen Originally published at jarednielsen.com ・5 min read
Is there a computer science topic more terrifying than Big O notation? Don’t let the name scare you, Big O notation is not a big deal. It’s very easy to understand and you don’t need to be a math whiz to do so. In thi... | HuggingFaceTB/finemath | |
Biehle's Nova Physics page 3 error with volume calculation?
1. Apr 27, 2014
thatrunner
1. The problem statement, all vbles and given/known data
So I'm going throught the Nova Physics book and I'm wondering if there's a mistake in calculation. The question reads: How much volume does 0.4kg of oxygen gas take up at T... | HuggingFaceTB/finemath | |
# Euler problems/91 to 100
## Problem 91
Find the number of right angle triangles in the quadrant.
Solution:
```reduce x y = (quot x d, quot y d)
where d = gcd x y
problem_91 n = 3*n*n + 2* sum others
where
others = do
x1 <- [1..n]
y1 <- [1..n]
let (yi,xi) = reduce x1 y1
let yc = quot (n-y1) yi
let xc = quot x1 xi... | HuggingFaceTB/finemath | |
Home > Margin Of > What Is A Margin Of Error
# What Is A Margin Of Error
## Contents
This means that the sample proportion, is 520 / 1,000 = 0.52. (The sample size, n, was 1,000.) The margin of error for this polling question is calculated in the following The area between each z* value and the negative of that z* v... | HuggingFaceTB/finemath | |
# Toronto Math Forum
## MAT244-2014F => MAT244 Math--Lectures => Topic started by: Chang Peng (Eddie) Liu on December 06, 2014, 01:34:45 PM
Title: Particular Solution Question
Post by: Chang Peng (Eddie) Liu on December 06, 2014, 01:34:45 PM
$$y^{(4)}−3y″−4y=\sin(t)+8t.$$
apparently the particular solution is ... | HuggingFaceTB/finemath | |
# Rationalizing the denominator ${1\over n+\sqrt[k]{r}\pm\sqrt[2k]{r}}$
Let $k,n,r \in {\mathbb N}$, $k>1$, $r>1$, and assume that the denominators in all formulas are not zero.
In the examples below, the numerators do not contain radicals, and the fractions are equal to 1: $$\frac{r^2-(2n^2-4n+1)r+n^4}{(n+\sqrt{r}+\... | open-web-math/open-web-math | |
# 75 is What Percent of 79?
## 75 is 94.94 Percent of 79
is what percent of
%
75 is 94.94% of 79
Calculation steps:
( 75 ÷ 79 ) x 100 = 94.94%
### Calculate 75 is What Percent of 79?
• F
Formula
(75 ÷ 79) x 100 = 94.94%
• 1
75 ÷ 79 = 0.9493670886075949
• 2
Decimal to percent
0.9493670886075949 x 100 = 94.... | HuggingFaceTB/finemath | |
# 10 year retrospective - January 2007, All Stages
## Problems
### Domino Sorting
##### Stage: 1 Challenge Level:
Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?
### Overlapping Squares
##### Stage: 2 Challenge Level:
Have a good look at these images. Can ... | HuggingFaceTB/finemath | |
The Saw Guy - Saw Reviews and DIY Projects Copyright © 2019. Copyright text 2018 by The Saw Guy - Saw Reviews and DIY Projects. TheSawGuy.com is a participant in the Amazon Services LLC Associates Program, an affiliate advertising program designed to provide a means for sites to earn advertising fees by advertising and... | HuggingFaceTB/finemath | |
# The area of the region bounded by the ellipse $\frac{x^{2}}{25}+\frac{y^{2}}{16}=1$ is A. 20π sq units B. 20π2 sq units C. 16π2 sq units D. 25π sq units
A)
The ellipse $\frac{x^{2}}{25}+\frac{y^{2}}{16}=1$
Ellipse has a symmetry with x axis and y axis
The required area can be calculated as
$\\ =4 \int_{0}^{5} \... | HuggingFaceTB/finemath | |
## When is a triangle like a circle?
For a circle with radius $r$, its area is $\pi r^2$ and its circumference is $2\pi r$. If you take the derivative of the area formula with respect to $r$, you get the circumference formula! Let’s define the term “differential radius.” The differential radius $r$ of a shape with are... | HuggingFaceTB/finemath | |
Toll Free Call Our Email
## liberia horizontal cylindrical tank building volume ### FeedbackTank Volume Calculator - Oil Tanks
The tank size calculator on this page is designed for measuring the capacity of a variety of fuel tanks. Alternatively, you can use this tank volume calculator as a water volume calculator i... | HuggingFaceTB/finemath | |
Clutch Prep is now a part of Pearson
Ch 24: The Second Law of ThermodynamicsWorksheetSee all chapters
# The Otto Cycle
See all sections
Sections
Heat Engines and the Second Law of Thermodynamics
Heat Engines & PV Diagrams
The Otto Cycle
The Carnot Cycle
Refrigerators
Entropy and the Second Law of Thermodynamics
Entro... | HuggingFaceTB/finemath | |
Subject: Calculus
# Table Of Integrals
In this article, we will only be presenting directly the answers to the very basic of integration which are the elementary forms of integration. We also choose the integral to be indefinite for simplicity.
Some Elementary Forms of Integration
• \int dx = x + C
• \int a dx = ax... | HuggingFaceTB/finemath | |
# Complementary angles
The word angle , which comes from the Latin word angŭlus , refers to a mathematical figure within the area of geometry that is formed from two lines when they intersect each other on the same surface. The angle then is the region of the plane that is between two rays or sides that have the same ... | HuggingFaceTB/finemath | |
# I Relation between quantum fluctuations and vacuum energy?
Tags:
1. May 20, 2016
### Frank Castle
As far as I understand it, the non-zero vacuum energy attributed to a quantum field (at each point in space-time) is precisely due to the Heisenberg uncertainty principle (and the fact that the energy of the quantum f... | open-web-math/open-web-math | |
# Coil Span Factor or Pitch Factor - Full Pitch & Short Pitch
A coil when placed in a slot, the distance between two coil sides of a coil is equal to the distance between the center of one pole to the center of an adjacent pole (i.e., pole-pitch) is known as 'Full Pitch'. The coil span of a full pitch coil is always 1... | HuggingFaceTB/finemath | |
# Jones Corporation Case Study
965 Words 4 Pages
Register to read the introduction… Suppose Jones Corporation in the above problem determined that its annual inventory carrying cost = 18 percent. The item unit cost was as follows:
Item 1= 25.00
Item 2=60.00
Item 3=5.00
Item 4=10.00
Item 5=1.00
Compute the dollar value... | HuggingFaceTB/finemath | |
# Calculating the charge of weights on a rod based on it's movement in an electric field
I've got a problem from my physics course which I am a little stuck on.
A dumbell consisting of two identical masses m=5.8 kg attached to the ends of a thin (massless) rod of length a=0.4 m that is pivoted at its centre. The mass... | HuggingFaceTB/finemath | |
# Using the standard deviation formula
The standard deviation formula is:
Standard deviation =sigma=sqrt((Sigma(x-bar x)^2)/(n-1))
For any set of values to find the standard deviation you should:
1. Find the mean (of all the numbers) = barx
2. Subtract the mean (from each number) = x-barx
3. Square the result... | HuggingFaceTB/finemath | |
# Thread: In need of someone to check my work.
1. ## In need of someone to check my work.
So I just wanted to make sure I'm correct in my thinking for this problem.
I'm trying to find a basis for the subspace W = { x in $R^{3} | x = \begin{bmatrix} x \\ y \\ z \end{bmatrix}, 2x + y = 0$ }
With this, we know x = -y ... | HuggingFaceTB/finemath | |
# How is the equation derived?
1. Aug 24, 2014
### Alexander2357
1. The problem statement, all variables and given/known data
An infinitely long line of charge has a linear charge density of λ C/m. A proton is at distance d m from the line and is moving directly toward the line with speed v m/s.
How close does the ... | HuggingFaceTB/finemath | |
Q:
# What is a five-sided shape called?
A:
A five-sided shape is called a pentagon. In geometry, all two dimensional shapes are known as polygons, so it can also be referred to as a five-sided polygon.
Know More
## Keep Learning
Credit: Image Source Image Source Getty Images
There are two types of pentagon; regu... | HuggingFaceTB/finemath | |
# Power series
• May 15th 2012, 12:35 PM
icelated
Power series
I have a problem i cant seem to figure out. I am trying to find the power series expansion for the function
$\displaystyle f(x) = \frac {9} {5 + x}$
c = 5
Now, would i arrange the 5 + x to force a negative?
$\displaystyle f(x) = \frac {9} {5 - (-x)}$
t... | HuggingFaceTB/finemath | |
# Passage/freezing T-cell line calculation problems - (Jan/10/2010 )
Hi,
I have a specific questions on how to do the calculations and procedure for passage and freezing of non-adherent immortalized T cells. I have them in 25-ml flasks and I need to do the following:
Passage at concentration of 10e5 cells/ml in 10-ml ... | HuggingFaceTB/finemath | |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 15 Aug 2018, 15:39
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customize... | open-web-math/open-web-math | |
Search a number
819 = 32713
BaseRepresentation
bin1100110011
31010100
430303
511234
63443
72250
oct1463
91110
10819
11685
12583
134b0
14427
15399
hex333
819 has 12 divisors (see below), whose sum is σ = 1456. Its totient is φ = 432.
The previous prime is 811. The next prime is 821. The reversal of 819 is 918.
Subtra... | HuggingFaceTB/finemath | |
## How will you check if your solution is correct?
To check if a given value is a solution to an equation:Evaluate the left-hand side expression at the given value to get a number.Evaluate the right-hand side expression at the given value to get a number.See if the numbers match.
## How do you find work in math?
1:5... | HuggingFaceTB/finemath | |
# What if angular velocity is parallel to linear velocity
Hello I want to ask you a question about rotational movement. Say I would consider a system and the center of mass is moving with a velocity $$\dot{\mathbf{R}}$$ and the system is rotating with an angular velocity $$\boldsymbol{\Omega}$$. How does the movement ... | HuggingFaceTB/finemath | |
Two Plus Two Older Archives Hello,Mathematicians! Probability question on...
FAQ Members List Calendar Search Today's Posts Mark Forums Read
#1
10-17-2002, 12:06 PM
SittingBull Senior Member Join Date: Sep 2002 Location: Louisiana Posts: 826
Hello,Mathematicians! Probability question on...
7-card stud.
Let's assume... | HuggingFaceTB/finemath | |
##### The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.
Let us assume a rhombus ABCD having diagonals AC and BD
Diagonals of this rhombus ABCD intersects each other at a point O
We know that,
Diagonals of rhombus bisects each other at 90o
Now,
AO = = = 8 cm
BO = = = 15 cm
By applying Pytha... | 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!)
A180868 Numbers n such that n and n+1 are semiprime powers. 1
9, 14, 15, 21, 25, 33, 34, 35, 38, 57, 64, 81, 85, 86, 93, 94, 118, 121,... | HuggingFaceTB/finemath | |
Home » Math Theory » Fractions » Improper Fractions
# Improper Fractions
## Introduction
Numbers that represent a portion of a whole are called fractions. Let us use the square below as an example.
Since it has been cut into 4 equal parts, each piece represents one out of four. Mathematically, each piece is describ... | open-web-math/open-web-math | |
final-practice
# final-practice - MATH 2200 Fall 2009 Practice Final(1...
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MATH 2200, Fall 2009 Practice Final
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(1) Compute the following derivatives: ... | HuggingFaceTB/finemath | |
## Monday, November 6, 2017
### Distance in The Dog's Journey!
First thing on which we need to focus on in how much time Jessica and Warner would meet. Since they are moving towards each other the distance of 33 KM is being covered at 5 + 6 = 11 KM/h. So they are going to meet each other in 33/11 = 3 hours. Now ever... | HuggingFaceTB/finemath | |
CLASS-7INTRODUCTION OF RATIONAL NUMBERS
RATIONAL NUMBERS -
Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. In other words, a rational number is any number that can be written in the form ๐/๐โ, where ๐ and ๐ are integers a... | HuggingFaceTB/finemath | |
# Authoritative measure for rating photos in a photo contest - practical issue
I am trying to find a good algorithm that would serve as an authoritative way to assess pictures provided for a photo contest. There is a bunch of photos that came for the contest. Each person from a group of people gets all of the photos t... | HuggingFaceTB/finemath | |
# Rhode Island - Grade 1 - Math - Geometry - Shape Attributes - 1.G.1
### Description
Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size) ; build and draw shapes to possess defining attributes.
### Additional Inf... | HuggingFaceTB/finemath | |
Lemma 57.87.10. To prove that cohomology commutes with base change for every proper morphism of schemes it suffices to prove it holds for the morphism $\mathbf{P}^1_ S \to S$ for every scheme $S$.
Proof. Let $f : X \to Y$ be a proper morphism of schemes. Let $Y = \bigcup Y_ i$ be an affine open covering and set $X_ i ... | open-web-math/open-web-math | |
# Descriptive Statistics Problems And Solutions Pdf File Name: descriptive statistics problems and solutions .zip
Size: 23805Kb
Published: 27.04.2021 Math Studies Search this site.
Student grades on a chemistry exam were: 77, 78, 76, 81, 86, 51, 79, 82, 84, Table contains the obesity rates in U. Eight numbers are gen... | HuggingFaceTB/finemath | |
# Card Turnover Math Game
Continuing on from yesterday’s post on other ways to help your students recall the times tables, here I share with you a fun times tables card game. Card Turnover This…
Continuing on from yesterday’s post on other ways to help your students recall the times tables, here I share with you a fu... | HuggingFaceTB/finemath | |
## Alberta Grade 5 Math Curriculum
Place values and number sense
• Place values
• Convert between place values
• Compare numbers up to millions
• Word names for numbers
• Roman numerals
• Rounding
• Even and odd arithmetic patterns
Geometry
• Identify planar and solid figures
• Types of triangles
• Open and closed ... | HuggingFaceTB/finemath | |
# What is the equation of the line that is perpendicular to the line passing through (3,18) and (-5,12) at midpoint of the two points?
Sep 5, 2016
$4 x + 3 y - 41 = 0$
#### Explanation:
There could be two ways.
One - The midpoint of $\left(3 , 18\right)$ and $\left(- 5 , 12\right)$ is $\left(\frac{3 - 5}{2} , \fra... | open-web-math/open-web-math | |
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# Problem Solving: Guess and Check
Page 1 of 2
## What Is It?
"Guess and Check" is a problem-solving strategy that students can use to solve mathematical problems by guessing the answer and then checking that the guess fits the conditions of the problem. For example, the following problem would be best solved usi... | HuggingFaceTB/finemath | |
# energy of ball mill is maximum at of its speed
We provide a variety of milling equipments and production line. Welcome to consult and purchase.
E-mail: [email protected]
• ### A ball is fired at a speed of 8 m/s at 20˚ above the
2017 2 27 A ball is fired at a speed of 8 m/s at 20˚ above the horizontal from the to... | HuggingFaceTB/finemath | |
# Dissolution of CO2 in water
The following question has troubled me for a while.
For gases that are slightly soluble in water, there is a proportional relationship between the partial pressure, $$P$$, and the mole fraction, $$x$$, of the gas molecules dissolved in water (Henry's law):
$$\ce{P = k_H*x}$$
A containe... | HuggingFaceTB/finemath | |
# A warehouse store sells cartoons of gum. Each carton contains 9 packs of gum, and there are 10 stick
label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet \$5
A Warehouse store sells cartons of gum. Each carton contains 9 packs of gum, and there are 10 sticks of gum in each pack. Each br... | HuggingFaceTB/finemath | |
# Prove that sinx < x for x>0
#### Amer
##### Active member
My work it is clear that
x = sin x, at x = 0
if we look at the slope of each curve
1 , cos x
cos x <= 1
which means sin(x) will go down and x will remain at it is direction, and the two curves will never met unless the slope of sin(x) be more than 1
#### t... | open-web-math/open-web-math | |
# Chapter 5
Ratio and Proportion
In mathematics we often compare numbers. Imagine a factory where there are 150 men and 100 women working. One way to compare these facts is to subtract. There are 50 more men than women working in the factory. (150 - 100 = 50) Another way to compare these facts is to write a ratio. The... | HuggingFaceTB/finemath | |
# What is the derivative of ##y=arctan(4x)##?
Explanation First coercioneclosure that ##d/dx[arctan x] = 1/(x^2 + 1)##.
Get a plagiarism free copy of this essay from our experts
What is the derivative of ##y=arctan(4x)##?
Just from \$13/Page
Via the :
1.) ##d/dx[arctan 4x] = 4/((4x)^2 + 1)##
2.) ##d/dx[arctan 4x] ... | HuggingFaceTB/finemath | |
# A lifetime of hot air
We’ve been making some Fermi estimations in the Math for Liberal Arts class I am teaching, and today we discuss the following question:
Question. If you collect all the hot-air that you have breathed in your life, what would the volume be? If you made a hot-air balloon, would it be able to lif... | HuggingFaceTB/finemath | |
The nature of torque as a vector
I can’t comprehend torque’s role properly:
1. What is torque’s nature? Is it some kind of energy? Because its unit is (N.m) and (N.m) is similar to (Joules) and it's energy unit.
2. As we all know “Torque” is a vector, so how can we comprehend the role of torque’s direction in the na... | HuggingFaceTB/finemath | |
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# Basic Statistics (10th Edition) View more editions Solutions for Chapter 14
• 493 step-by-step solutions
• Solved by professors & experts
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Chapter: Problem:
Sample Solution
Chapter: Problem:
• Step 1 of 5
Boys in economically-depressed neighborhoods were placed in delinquency-p... | HuggingFaceTB/finemath | |
Question Video: Using Properties of Parallel Lines and Transversals to Find Congruent Angles | Nagwa Question Video: Using Properties of Parallel Lines and Transversals to Find Congruent Angles | Nagwa
# Question Video: Using Properties of Parallel Lines and Transversals to Find Congruent Angles Mathematics • First Ye... | HuggingFaceTB/finemath | |
# The initial speed of a bullet fired from a rifle is $630 \mathrm{~m} / \mathrm{s}$. The rifle is fired at the centre of a target $700 \mathrm{~m}$ away at the same level as the target. How far above the centre of the target ?
Question:
The initial speed of a bullet fired from a rifle is $630 \mathrm{~m} / \mathrm{s... | HuggingFaceTB/finemath | |
Cody
Problem 660. Find a subset that divides the vector into equal halves
Solution 462331
Submitted on 25 Jun 2014 by goc3
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.
Test Suite
Test Status Code Input and Output
1 Pass
%% x = [1 2 3 4 5 6 7]; xi = s... | HuggingFaceTB/finemath |
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