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# Square Root of 39
In math, the square root of a number like 39 is a number that, when multiplied by itself, is equal to 39. We would show this in mathematical form with the square root symbol, which is called the radical symbol: √
Any number with the radical symbol next to it us called the radical term or the squar... | HuggingFaceTB/finemath | |
For every $b$ in the power $a^{b}$, does there exist an $a$ such that the digit sum of this power is equal to $a$?
$$1^0 = 1\to 1 =1$$
$$x^1=x\to x=x\;\forall x$$.
$$9^2 = 81\to 8+1=9$$
$$8^3=512\to 5+1+2=8$$.
$$7^4=2401\to 2+4+0+1=7$$
$$46^5 = 205962976\to 2+0+5+9+6+2+9+7+6=46$$
$$64^6 = 68719476736\to 6+8+7+1+... | HuggingFaceTB/finemath | |
## Nielit Scentist-B [02-12-2018]
Question 1
For the given recurrence equation
T(n)=2T(n-1), if n>0.
=1, otherwise
A O(nlogn) B O(n2) C O(2n) D O(n)
Question 1 Explanation:
T(n) = 2T (n - 1) + 1
= 2 [2T(n - 2) + 1] + 1
= 22 T(n - 2) + 3
= 2kT(n - k) + (2k - 1)
= 2n-1T(1) + (2n-1 - 1)
= 2n-1+ 2n-1 - 1
= 2n - 1
≅ O( ... | HuggingFaceTB/finemath | |
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www.bit.ly/vucodes + Link For Assignments, GDBs & Online Quizzes Solution www.bit.ly/papersvu + Link For Past Papers, Solved MCQs, Short Notes & More
Dear St... | HuggingFaceTB/finemath | |
# How do you differentiate f(x)= sin2xtan4x using the product rule?
Dec 29, 2015
$f ' \left(x\right) = 2 \cos 2 x \tan 4 x + 4 \sin 2 x {\sec}^{2} 4 x$
#### Explanation:
The product rule states that:
$f ' \left(x\right) = \tan 4 x \frac{d}{\mathrm{dx}} \left(\sin 2 x\right) + \sin 2 x \frac{d}{\mathrm{dx}} \left(\... | HuggingFaceTB/finemath | |
# Fractals/Iterations of real numbers/r iterations
Dynamics:
• real analytic unimodal dynamics
# Diagram types
## 2D diagrams
• parameter is a variable on horizontal axis
• bifurcation diagram : P-curves ( = periodic points) versus parameter
• orbit diagram : points of critical orbit versus parameter
• skeleton di... | HuggingFaceTB/finemath | |
# Thread: Geometric Interpretation of Integral
1. ## Geometric Interpretation of Integral
Could someone please explain to me what it means when I have to give a geometric interpretation of each term of the integral, say, $\sqrt{a^2-x^2}$ between x = b and x = 0?
From what I can make of the question, all I can think ... | HuggingFaceTB/finemath | |
# Types Of Forces MCQ Quiz: Exam!
Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz... | HuggingFaceTB/finemath | |
Is Electric Current a Scalar or a Vector Quantity? Answered
Physical quantities have two types vector and scalar quantities. The vectors are the quantities that have a certain direction and a magnitude. The scalar quantities have only magnitude. For example, electric currents have a direction and a magnitude. So, is e... | HuggingFaceTB/finemath | |
## Wednesday, June 27, 2007
### Net Magnetic Force and Torque on a Current Loop- Two Multiple Choice Questions
If a plane current carrying coil is placed in a uniform magnetic field, generally there will be a torque on the coil, but the net force on the coil will be zero. But, if the current loop is placed in a non-u... | HuggingFaceTB/finemath | |
Geometry
# Trigonometric Functions: Level 2 Challenges
$\Large \sin \left(30^\circ\right) = \ ?$
$\cos(45^\circ) \times \cos(46^\circ) \times \cos(47^\circ) \times \ldots \times \cos(135^\circ ) = \ ?$
$\huge \frac{\hspace{2mm} \frac{\hspace{2mm} \frac{\hspace{2mm} \frac{\hspace{2mm} \frac{\sin x}{\cos x}\hspace{2m... | HuggingFaceTB/finemath | |
# Condition for Common Root or Roots of Quadratic Equations
We will discuss how to derive the conditions for common root or roots of quadratic equations that can be two or more.
Condition for one common root:
Let the two quadratic equations are a1x^2 + b1x + c1 = 0 and a2x^2 + b2x + c2 = 0
Now we are going to find ... | HuggingFaceTB/finemath | |
Wicks Percent
Bar Info
Debugging
Derivatives
Matrix Handling
Price Rounding
Regression Lines
Statistics
User Tracking
Example Strategies
Wicks Percent
Description:
Calculate the percentage of a bar that is made up by the high or low wicks of that bar.
Syntax:
`HighWicksPercent(int bar);`
Arguments:
bar:... | HuggingFaceTB/finemath | |
# Prove that $f$ is a polynomial if one of the coefficients in its Taylor expansion is 0
Suppose $f$ is an analytic function defined everywhere in $\mathbb{C}$ and such that for each $z_0 \in \mathbb{C}$ at least one coefficient in the expansion
$$f(z) = \sum_{n = 0}^{\infty}c_n(z-z_0)^n$$
is equal to $0$. Prove tha... | HuggingFaceTB/finemath | |
# Applications of Solving Equations
### Problems
Problem : If Greg rides his bike at 6 miles per hour, how far does he travel in 30 minutes? How long does it take him to ride 14 miles?
Problem : In a grape-eating contest, Mark eats grapes at a rate of 12 grapes per minute. How long does it take him to eat 108 grapes... | HuggingFaceTB/finemath | |
# Volumes of revolution
• May 6th 2012, 10:11 AM
ninelegs
Volumes of revolution
Hello all,
New here but needing some help on a few questions in involving areas no in the first quadrant.
Question 1: Find the volume of the solid generated by revolving the region bounded by y= -x^2-1 and y=x^2-2x-5 about the line y=11.
... | HuggingFaceTB/finemath | |
## Basic Concept
#### Addition and Subtraction of Algebraic Expressions
The operation of addition and subtraction can be performed on terms with similar variable. Add or subtract the coefficients on similar variable
Example:
$$10x^2 + 5x - 3x^2 + 4x$$
$$10x^2 - 3x^2 + 5x + 4x$$
$$(10 - 3)x^2 + (5 + 4)x$$
$$7x^2 ... | HuggingFaceTB/finemath | |
Discover a lot of information on the number 9704: properties, mathematical operations, how to write it, symbolism, numerology, representations and many other interesting things!
## Mathematical properties of 9704
Is 9704 a prime number? No
Is 9704 a perfect number? No
Number of divisors 8
List of dividers 1, 2, 4, 8,... | HuggingFaceTB/finemath | |
# Constructing Equivalent Ratios
I spent a good deal of time racking my brain for a more open-ended activity to do for equivalent ratios—which make their appearance in the Ratio Tables math lesson app. Below is what I came up with. It is not so much an activity or a puzzle as it is an environment in which puzzles can ... | HuggingFaceTB/finemath | |
Maths
A(t)=A'e^(-t/r)
where A(t) is the amount after time t, A' is the initial amount at t=0 and r is the decay time.
Give an interpretation of the parameter r.
1. 👍 0
2. 👎 0
3. 👁 89
1. r is the length of time required for the amount of A to decrease by a factor of 1/e
1. 👍 0
2. 👎 0
posted by drwls
Similar Qu... | HuggingFaceTB/finemath | |
Home > A2C > Chapter 9 > Lesson 9.3.1 > Problem9-126
9-126.
1. Consider the equation 5x2 − 7x − 6 = 0 as you answer the questions in parts (a) through (d) below. Homework Help ✎
1. What are the factors of 5x2 − 7x − 6?
2. What are the solutions to the equation?
3. Explain the relationship between the factors of t... | HuggingFaceTB/finemath | |
# Thread: 2 AP test questions I can't seem to solve
1. ## 2 AP test questions I can't seem to solve
Hi, the AP test is approaching and I'm struggling with these two Calculus questions and need some guidance. If you can provide a general (or detailed if possible =)) explanation on how you solved the problem, or the st... | HuggingFaceTB/finemath | |
1. ## Derive the identity
hey just having a little trouble with this problem,
Derive the identity:
sinh x cosh y = (1/2)[sinh(x+y)+sinh(x-y)]
thanks!
2. Just substitute the definitions and multiply.
$(1/2)[\sinh(x+y)+\sinh(x-y)]=(1/4)\left[ e^{x+y}-e^{-x-y}+e^{x-y}-e^{-x+y}\right]$
likewise....
$\sinh x \cosh y=... | HuggingFaceTB/finemath | |
# Limited Entropy Dot ComNot so random thoughts on security featured by Eloi Sanfèlix
28Jun/090
## Crypto Series: Advanced Encryption Standard
Last time I wrote about the DES cipher, so today (yes, you guessed it) I'm writing about how the AES works. AES was created as a result of an open contest proposed by the NIS... | open-web-math/open-web-math | |
Updated Lesson on Factoring By Grouping
Now that you have discovered just how to factor polynomials by utilizing various approaches such as Greatest Common Factor (GCF, Sum or distinction in two dices; Difference in 2 squares approach; and Trinomial method. Let’s learn more about Lesson on Factoring By Grouping.
Most... | HuggingFaceTB/finemath | |
1. Graph transformations
hey need some help with a question im struggeling with:
The equation of a curve is y=f( x ) where f( x )= x2 - 6x +14
a ) complete the square for f, ( x )
b) Hence Sketch the graph of y = f ( x ) and y = f(x+3)
Whats really confusing me is how to complete the square, usually im ok with thi... | HuggingFaceTB/finemath | |
# What is the fastest way to find integer square root using bit shifts?
I was looking for the fastest method to calculate the square root(integer) of a number(integer). I came across this solution in wikipedia which finds the square root of a number(if its a perfect square) or the square root of its nearest lower perf... | HuggingFaceTB/finemath | |
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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A265604 Triangle read by rows: The inverse Bell transform of the quartic factorial numbers (A007696). 7
1, 0, 1, 0, 1, 1, 0, -2, 3, 1,... | HuggingFaceTB/finemath | |
# Configuration¶
Configuration and customization of Sphinx-Gallery is done primarily with a dictionary specified in your conf.py file. A list of the possible keys are listed below and explained in greater detail in subsequent sections.
When using these flags, it is good practice to make sure the source Python files a... | open-web-math/open-web-math | |
##### In the given figure, O is the center of two concentric circles of radii 5 cm and 3 cm. From an external point P tangents PA and PB are drawn to these circles. If PA = 12 cm then PB is equal to
In given Figure,
OA AP [Tangent at any point on the circle is perpendicular to the radius through point of contact]
In... | HuggingFaceTB/finemath | |
# What is 1 Billion?
Billion Place Value
The place value system used by American and European people to read numbers is completely different from the place value system used by Indian people. Indian used a multiple of 10 to get to the next place value. One (Unit) multiplied by 10 is Ten. 10 multiplied by 10 is 100(hu... | HuggingFaceTB/finemath | |
## Sunday, April 8, 2012
### Taking Some Mystery Out Of Baseball Statistics
Welcome to Blog Entry #70.
A shout to all who are following my blog. Many sincere thanks!
This will probably be my first anniversary post, even though it is still about a week away. I started this blog on April 16, 2011.
Today's blog entry... | HuggingFaceTB/finemath | |
### Home > INT2 > Chapter 8 > Lesson 8.3.2 > Problem8-73
8-73.
For each diagram below, write and solve an equation for $x$.
1. The sum of the interior angles $= 180°(n - 2)$.
$x + x + 125° + 90° + 125° =$ sum from Step $1$
1. Mark the angles that are vertical to the labeled angles. What do you know about the ang... | HuggingFaceTB/finemath | |
## Inversions
I recently heard a first-grade teacher espouse the benefits of having students create equations that are both true and false. Her argument was that students typically only see equations that are true, but by considering equations that are false, students develop a better understanding of equality and the... | HuggingFaceTB/finemath | |
top of page # Group
Public·12 members
# PDF Notes on Electrostatics for IIT JEE: Concepts, Formulas, and Problems
Are you preparing for the IIT JEE exam and looking for some reliable and comprehensive notes on electrostatics? If yes, then you have come to the right place. In this article, we will provide you with ev... | HuggingFaceTB/finemath | |
Do you want to improve your ability to subtract one number from another, especially if decimals are involved, without having to rely on a calculator? This unit will help you get to grips with subtraction and give you some practice in doing it.
You can start with some practice in subtracting small numbers in your head ... | HuggingFaceTB/finemath | |
mersenneforum.org Probability of primality
Register FAQ Search Today's Posts Mark Forums Read
2011-03-06, 00:42 #12
mart_r
Dec 2008
you know...around...
599 Posts
Slightly modified to make it sound more sophisticated :
Quote:
Originally Posted by mart_r Let q(n,p) denote the parameter such that the actual prob... | HuggingFaceTB/finemath | |
As Hank explains in a recent article, when he visits a Casino he plays the Roulette. His simple strategy consists in betting on a single colour, doubling the bet every time he loses; when he wins, he starts back with the minimum bet.
Such a strategy is not going to make you rich, but no strategy does at the Roulette, ... | HuggingFaceTB/finemath | |
2.7k views
The minimum number of cards to be dealt from an arbitrarily shuffled deck of $52$ cards to guarantee that three cards are from same suit is
1. $3$
2. $8$
3. $9$
4. $12$
edited | 2.7k views
+14
use pigeonhole principle Answer is 2*4+1=9
0
Please re tag this to pigeon hole. I was looking in the GO book under... | HuggingFaceTB/finemath | |
Arrhenius Equation Video Lessons
Concept:
# Problem: Increasing the reaction temperature from 25°C to 30°C raises the reaction rate 7.5- fold. What is the rate constant for the at 27.5 °C? Activation energy is 3.03x105 J/molA. 6.2 x 10-4B. 1.3 x 102C. 4.6 x 10-7D. 11.3E. none of these
###### FREE Expert Solution
We... | HuggingFaceTB/finemath | |
When is scalar or vector?
A quantity that has magnitude but no particular direction is described as scalar. A quantity that has magnitude and acts in a particular direction is described as vector.
How do you know if it is scalar or vector?
Scalar quantities have only magnitude; vector quantities have both magnitude ... | HuggingFaceTB/finemath | |
for Journals by Title or ISSN for Articles by Keywords help
Subjects -> MATHEMATICS (Total: 955 journals) - APPLIED MATHEMATICS (82 journals) - GEOMETRY AND TOPOLOGY (20 journals) - MATHEMATICS (706 journals) - MATHEMATICS (GENERAL) (43 journals) - NUMERICAL ANALYSIS (22 journals) - PROBABILITIES AN... | open-web-math/open-web-math | |
Write a real-world situation that could be modeled by the equation 24/y=3. Then solve the problem.
My answer: There are 24 seats available at the movies. There were total of 3 rows after the seats were divided and more seats on each row.
Did I solve this problem correctly?
1. 👍 21
2. 👎 7
3. 👁 2,479
1. There are 2... | HuggingFaceTB/finemath | |
# Mathematical segmentation of an accelerating body and the resultant torques
My question is inspired by problems of the following kind: To solve such problems, what one essentially does is mathematically 'segment' the rod/body at a distance x from the pivot, and then write the force equations on the segment(s). In th... | HuggingFaceTB/finemath | |
# Differential Forms and Applications by do Carmo - Chapter $6$ - Lemma $1$.
Let be $$M$$ a compact manifold $$M$$ which has a finite number of singular isotaled points and $$I$$ the index of a vector field around a singular isolated point.
The definition of the index $$I$$ of a vector field around a singular isolate... | HuggingFaceTB/finemath | |
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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A221587 Equals one maps: number of n X 2 binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..3 n X 2 array. 1... | HuggingFaceTB/finemath | |
# When does equation $(A^TA)^n=I$ have solution?
Let $A$ be a square real matrix. We know that if $A$ is orthogonal matrix then $A^TA=I$. Consequently also in this case $(A^TA)^n=I$.
I would like to know whether it is possible to have expression of type $B=A^TA$ (I would call it transquare of $A$ - btw it is a little... | HuggingFaceTB/finemath | |
How to work out probabilityLet us find the probability of picking 1 star shaped cookies from the total of 18. We already saw that 'and' in probability means multiplication. So we multiply the probability of each event to get the total. Therefore, the probability of picking any of the 3 cookies is 0.0407. Prev Article.T... | HuggingFaceTB/finemath | |
# Algebra
posted by .
A circular aboveground pool has a diameter of 8ft and stands 5.5ft off the ground. If the pool company charges an installation fee of \$11 per square ft, how much will the installation cost?
• Algebra -
Do you mean per square foot of pool surface area or of pool wall area? In either case, mult... | HuggingFaceTB/finemath | |
# How do you multiply (x^5+3)(x^5-3)?
Jun 27, 2018
${x}^{10} - 9$
#### Explanation:
$\left({x}^{5} + 3\right) \left({x}^{5} - 3\right)$
First multiply ${x}^{5}$ by ${x}^{5}$ to get ${x}^{10}$
Second, multiply ${x}^{5}$ by $- 3$ to get $- 3 \left({x}^{5}\right)$
Third,multiply ${x}^{5}$ by $3$ to get $3 \left({x}^{5... | HuggingFaceTB/finemath | |
Find the antiderivative of f(x)=1/(1+x^2)*arctanx.
justaguide | Certified Educator
We have to find the anti derivative of f(x) = 1/(1+x^2)*arc tan x
Here we first take t = arc tan x
=> dt/dx = 1 / ( 1 + x^2)
=> dt = dx / ( 1 + x^2)
Int [ 1/(1+x^2)*arc tan x dx]
=> Int [ (1/t ) dt]
=> ln t + C
replace t with ... | HuggingFaceTB/finemath | |
# Math
posted by .
Explain how you can determine whether a system of two linear equations will be consisten, dependent, or inconsistent?
• Math -
consistent if their slopes are different
x+y=5
2x-3y=6
dependent if one equation is a multiple of the other.
2x+3y=9
4x+6y=18
inconsistent if the slopes are the same, b... | HuggingFaceTB/finemath | |
# If an ounce of gold, valued at \$670, increases at a rate of 7.2 percent per year, how long will it take to be valued at \$1,000? (Do not round intermediate calculations.
If an ounce of gold, valued at \$670, increases at a rate of 7.2 percent per year, how long will it take to be valued at \$1,000? (Do not round in... | HuggingFaceTB/finemath | |
# Length of a Shadow Cast on a Sphere
I'm doing a project for a classical mechanics class about shadows cast on a sphere. Though the topic is physics-ish, the derivation is entirely math and geometry. Below is my derivation, but I'd appreciate a second pair of eyes to check it over. I've yet to really define the const... | HuggingFaceTB/finemath | |
# 11 Plus Mathematics
In general terms, the 11+ maths tests will cover only those topics that have been taught during Key Stage 2. It is therefore essential that your child is secure in their understanding of the maths they are learning at school.
The following topics have all appeared on past eleven plus exam papers... | HuggingFaceTB/finemath | |
Bài sắp đăng
Home | Trắc nghiệm | Kinh tế lượng | 93 câu trắc nghiệm Kinh tế lượng – Phần 2 Tổng hợp 93 câu trắc nghiệm kinh tế lượng (có đáp án) bằng tiếng anh.
93 câu trắc nghiệm Kinh tế lượng – Phần 2
Tổng hợp 93 câu trắc nghiệm Kinh tế lượng cơ bản trong tài chính bằng tiếng anh (có đáp án kèm theo). Nội dung đượ... | HuggingFaceTB/finemath | |
## 111708
111,708 (one hundred eleven thousand seven hundred eight) is an even six-digits composite number following 111707 and preceding 111709. In scientific notation, it is written as 1.11708 × 105. The sum of its digits is 18. It has a total of 6 prime factors and 36 positive divisors. There are 35,616 positive in... | HuggingFaceTB/finemath | |
CBSE Class 10 Maths: What we should really know about prime numbers! - Hindustan Times
# CBSE Class 10 Maths: What we should really know about prime numbers!
ByPankaj Jha
Mar 07, 2019 08:03 AM IST
## Most kids learn about prime numbers when they are in grade 5. However, when kids and adults are quizzed about why we ... | HuggingFaceTB/finemath | |
Find all School-related info fast with the new School-Specific MBA Forum
It is currently 31 Aug 2016, 21:06
### 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 | |
# Sound pressure
Sound pressure or acoustic pressure is the local pressure deviation from the ambient (average or equilibrium) atmospheric pressure, caused by a sound wave. In air, sound pressure can be measured using a microphone, and in water with a hydrophone. The SI unit of sound pressure is the pascal (Pa).
Soun... | HuggingFaceTB/finemath | |
# What is dimension of a physical quantity?
Dimension of a physical quantity is a function that determines the number of times we need to alter the numerical value of physical quantity while passing from one system of units of measurement within the same class.
Dimensional quantity:
A dimensional quantity is one who... | HuggingFaceTB/finemath | |
# quantitative and verbal practice sections Sample test 2 Barron's Gmat
Subject: ; Class: ; with 15 questions; test in 15 minutes; update 08-05-2018
• Question 1:
How many pounds of fertilizer that is 10 percent nitrogen must be added to 12 pounds of fertilizer that is 20 percent nitrogen so that the resulting mixtu... | HuggingFaceTB/finemath | |
# How to develop a recursive algorithm
How does one develop a recursive algorithm? Here are some steps:
1. Is recursion better than iteration? Recursion is appropriate if the problem being solved can be expressed as a series of smaller problems which are very similar. By using the solutions of each subproblem, the ov... | HuggingFaceTB/finemath | |
Graph all the things
analyzing all the things you forgot to wonder about
# Interpolation on a Sphere
2015-03-22
We can interpolate between points on a sphere, meaning that, given the value of a function (such as temperature) at various points on a sphere (such as Earth), we can estimate the temperature between tho... | HuggingFaceTB/finemath | |
# What is wrong in calculating probability in this way?
### Problem:
Given the following information:
There are 3 urns $X$, $Y$ and $Z$.
Urn $X$ contains 4 red balls and 3 black balls.
Urn $Y$ contains 5 red and 4 black balls.
Urn $Z$ contains 4 red balls and 4 black balls.
One ball is drawn from each of these u... | HuggingFaceTB/finemath | |
How do you find the greatest common factor of 36xy^3, 24y^2?
Dec 11, 2016
$12 {y}^{2}$
Explanation:
Write greatest common factor as GCF
$\textcolor{b l u e}{\text{Consider the variables "x" and } y}$
$x$ is only in one of them so it is not 'common'. Thus it is not included in the GCF
${y}^{2} \times y = {y}^{3}$... | HuggingFaceTB/finemath | |
Theorem
## Why work for us
In mathematics, a theorem is a statement that has been proved on the basis of previously established statements, such as other theorems—and generally accepted statements, such as axioms. A theorem is a logical consequence of the axioms. The proof of a mathematical theorem is a logical argum... | HuggingFaceTB/finemath | |
Questions tagged [ohms-law]
A well known relationship that describes the relationship between Voltage and current through a device's resistance expressed mathematically as V= IR. This formula says that voltage across the device is equal to the current through the device multiplied by the resistance.
323 questions
Fil... | HuggingFaceTB/finemath | |
# Polynomial Rules: What Defines Polynomials?
Melanie has a BS in physical science and is in grad school for analytics and modeling. She also runs a YouTube channel: The Curious Coder.
## Polynomial Rules
What are the rules for polynomials? The short answer is that polynomials cannot contain the following: division ... | HuggingFaceTB/finemath | |
Edit Article
# How to Solve Pythagoras Theorem Questions
Pythagoras’s Theorem is a formula you can use to find an unknown side length of a right triangle. It is one of the most basic geometric tools in mathematics.[1] You will likely come across many problems in school and in real life that require using the theorem ... | HuggingFaceTB/finemath | |
Home » i
# i
« Back to Glossary Index
The letter i is the symbol for the square root of -1. In other words i = √-1. The symbol i often appears in the equations of quantum mechanics.
What number could be the square root of -1? It would have to be a number that when squared, that is, multiplied by itself, equals -1. ... | HuggingFaceTB/finemath | |
Feb 26, 2016
Feb 26, 2016
Feb 26, 2016
# Calibration Of Rectangular Notch
/ On: Apr 24, 2017 /
## Apparatus:
• Hydraulic bench
• Stopwatch
• Rectangular notch
## Concepts:
### NOTCH:
A Notch is regarded as an orifice with water level below its upper edge. Notch is made of a metallic plate and its use is to mea... | HuggingFaceTB/finemath | |
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# CHAPTER 5
Cost-Volume-Profit
ASSIGNMENT CLASSIFICATION TABLE
Study Objectives
Questions
Brief
Exercises
1.
Distinguish between
variable and fixed costs.
1, 2, 3, 6
1, 2, 3, 4,
5, 6
2.
## Explain the significance
of the relevant range.
4, 5
3.
mixed costs.
6, 7, 8
1, 3, 4, 5
1, ... | HuggingFaceTB/finemath | |
### Home > PC > Chapter 9 > Lesson 9.2.1 > Problem9-70
9-70.
Let $s(x) = \sin x$.
1. Find the exact value of the average rate of change of $s(x)$ from $x = \frac { \pi } { 4 }$ to $x = \frac { \pi } { 2 }$.
$\frac{s\left(\frac{\pi}{2}\right)-s\left(\frac{\pi}{4}\right)}{\left(\frac{\pi}{2}\right)-\left(\frac{\pi}{4... | HuggingFaceTB/finemath | |
# positive values of polynomials
Let $p$ be a quadratic multivariate polynomial in Sage, for example
sage: R.<x,y,z> = QQ[]
sage: p = -x^2 - y^2 - z^2 + x*y + x*z + y*z
sage: q = -x^2 - y^2 - z^2 + 3/2 * (x*y + x*z + y*z)
I want to test whether there exists a vector $(a,b,c)$ with positive entries such that $p(a,b,... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from cubic centimeters to gallons is 0.00026417205124156, which means that 1 cubic centimeter is equal to 0.00026417205124156 gallons:
1 cm3 = 0.00026417205124156 gal
To convert 281 cubic centimeters into gallons we have to multiply 281 by the conversion factor in order to... | HuggingFaceTB/finemath | |
# Effects of contact angles
The spreading coefficient is: $S=\sigma _{s}-\left( \sigma _{sl}+\sigma _{lv} \right)$
If the spreading coefficient is positive, the liquid “spreads” on the solid (b); if the spreading coefficient is negative, the liquid “partially spreads” on the solid (a). If the contact angle is less th... | HuggingFaceTB/finemath | |
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# MAE 108 - Probability and Statistical Methods for Engineers - Spring 2015
## Final Exam, June 10
Instructions
(i) Two (two-sided) cheat sheets, book tables, and a calculator with no communication capabilities are
allowed,
(ii) No cellphones, tablets, or laptops,
(iii) You have 170 minu... | HuggingFaceTB/finemath | |
# How Much Force Does Wind Resistance Exert on a Vehicle-Mounted Sign?
• Taiki_Kazuma
In summary, the force pushing against a sign attached to a vehicle can be calculated using the formula D=\frac{1}{2}*C_D*r*v^2*A, where A is the area of the sign, v is the velocity of the vehicle, r is the air density, and C_D is the... | HuggingFaceTB/finemath | |
# A hemisphere of lead of radius 7cm is cast into a right circular cone of height 49 cm. What would be the radius of base?
704 views
A hemisphere of lead of radius 7cm is cast into a right circular cone of height 49 cm. What would be the radius of base?
posted Apr 7, 2016
Vol of hemisphere
=2/3*22/7*r*r*r
=2/3*22/7*7... | HuggingFaceTB/finemath | |
# How to find the coordinate representation of the kinetic operator?
From my professor's notes on statistical mechanics. $$\left|\bf{k}\right\rangle$$ is eigenstate of the hamiltonian of the free particle with periodic boundary conditions: $$\left\langle{\bf r}|{\bf k}\right\rangle = \frac{1}{\sqrt{V}} e^{i\bf{k}\cdot... | HuggingFaceTB/finemath | |
SAT Math 1&2 Subject Tests: Level 1 Practice Test 2_cracksat.net
# SAT Math 1&2 Subject Tests: Level 1 Practice Test 2
### Test Information 50 questions 60 minutes
Take more free SAT math 1&2 subject practice tests available from cracksat.net.
1. Rob and Sherry together weigh 300 pounds. Sherry and Heather togeth... | HuggingFaceTB/finemath | |
시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
2 초 256 MB 2 1 1 50.000%
## 문제
Every day a shepherd guards a flock of sheep on an infinite one-dimensional pasture. The shepherd takes the flock to the pasture in the morning at time 0, and he takes the flock to the barn in the evening at time $T$. The locations of both the shepherd and... | HuggingFaceTB/finemath | |
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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A238829 a(n) = A238823(n) - A238826(n). 6
1, 1, 2, 5, 12, 31, 77, 192, 474, 1170, 2881, 7097, 17477, 43050, 106043, 261235, 643552, 1585421, 3905750, 9621993, 23704161, 58396118, 1438609... | HuggingFaceTB/finemath | |
# Optimal Control Problem
This is a template page to show how a general Optimal Control Problem should be described on this website. In this first paragraph a short description of the problem is given. What is the practical or mathematical context that motivates to solve the problem. What do the free and dependent var... | HuggingFaceTB/finemath | |
12345>>
1.
At what percent above the cost price must a shopkeeper mark his goods so that he gains 20% even after giving a discount of 10% on the marked price ?
A) 25%
B) 30%
C) $33\frac{1}{3}$%
D) $37\frac{1}{2}$%
E) 40%
2.
The cost price of an article is 64% of the marked price. Calculate the gain percent afte... | HuggingFaceTB/finemath | |
Citation
If you use the EWCE package as well then please cite
Skene, et al. Identification of Vulnerable Cell Types in Major Brain Disorders Using Single Cell Transcriptomes and Expression Weighted Cell Type Enrichment.Front. Neurosci, 2016.
If you use the cortex/hippocampus single cell data associated with this pac... | open-web-math/open-web-math | |
# Prime Factors of 1050
1050 is divisible by the prime number 2 which results in 525. Continuing, the number 525 is divisible by prime number 3 and the result after division will be 175. Continuing, the number 175 is divisible by prime number 5 and the result after division will be 35. The same step can be applied 1 m... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Number bases similar to Plus Minus:
Filter by: Content type:
Stage:
Challenge level:
### There are 19 results
Broad Topics > Numbers and the Number System > Number bases
### Composite Notions
##### Stage: 4 Challenge Level:
A composite number is one that is neither pr... | HuggingFaceTB/finemath | |
# 一題外測度問題 (有關外測度的描述) part 2
Let the universal set X be a noncountable space. Let K consist of X, Ø, and all the one-point sets. Let λ(X)=1, λ(E)=0 if E≠X. Describe the outer measure.
CONSTRUCTION OF OUTER MEASURES:
Let K be a class of sets (of X). We call K a \"sequential covering class\" (of X) if
(i) Ø屬於K, and
(... | HuggingFaceTB/finemath | |
# How to get the refutation of (OP ⊃ OQ) ∴ O(P ⊃ Q) in Deontic Logic
In Deontic Logic, one could easily infer `"If it is obligatory that P, then it is Obligatory that Q"`, from `"It is obligatory that if P then Q"`
O(P ⊃ Q) ∴ (OP ⊃ OQ)
Where the is an implication (if ... then).
Consider the following proof (D stand... | HuggingFaceTB/finemath | |
## Monday, April 30, 2012
### KS test (2)
A bit more about the Kolmogorov-Smirnov test after the first post here. I found a pdf at MIT ocw about this. I don't understand much of it but it's clear that using the absolute value of the difference to get the statistic is correct.
Now we need to figure out the distributi... | HuggingFaceTB/finemath | |
# The Cartesian equations of a line are
Question:
The Cartesian equations of a line are $\frac{\mathrm{x}-1}{2}=\frac{\mathrm{y}+2}{3}=\frac{\mathrm{z}-5}{-1}$. Its vector equation is
A. $\overrightarrow{\mathrm{r}}=(-\hat{\mathrm{i}}+2 \hat{\mathrm{j}}-5 \hat{\mathrm{k}})+\lambda(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from cubic meters to tablespoons is 67628.04511761, which means that 1 cubic meter is equal to 67628.04511761 tablespoons:
1 m3 = 67628.04511761 tbsp
To convert 377.6 cubic meters into tablespoons we have to multiply 377.6 by the conversion factor in order to get the volum... | HuggingFaceTB/finemath | |
Q
# Solve 5x - 3 < 7, when (ii) x is a real number.
Q3. Solve $5x - 3 < 7$, when
(ii) $x$ is a real number.
Views
Given : $5x - 3 < 7$
$\Rightarrow$ $5x - 3 < 7$
$\Rightarrow \, \, \, 5x< 10$
Divide by 5 from both sides
$\Rightarrow \, \, \, \frac{5}{5}x< \frac{10}{5}$
$\Rightarrow \, \, \, x< 2$
$... | HuggingFaceTB/finemath | |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 17 Jan 2019, 13:26
### 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... | HuggingFaceTB/finemath | |
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# Why do i solve the sum in this way (mathematics)? Answered
The sum is as given below:
"There are two cars A and B.They start from the same point at the same time and travel in a circular path .Car A can complete one round in 18 minutes whereas car B can complete the round in 16 minutes. After how ... | HuggingFaceTB/finemath | |
# Inference
This page is meant as a guide to interpreting the output of a Monte Carlo calculation.
## Uncertainties
Let’s start with some notation. We say that $x\sim N(\mu,\epsilon)$ means that the variable $x$ is drawn from the distribution $N$ with parameters 0 and $\epsilon$. $$N(\mu,\epsilon) = \frac{1}{\epsilo... | HuggingFaceTB/finemath | |
# How to determine if a list of polygon points are in clockwise order?
Having a list of points, how do I find if they are in clockwise order?
For example:
``````point[0] = (5,0)
point[1] = (6,4)
point[2] = (4,5)
point[3] = (1,5)
point[4] = (1,0)
``````
would say that it is anti-clockwise (or counter-clockwise, for ... | HuggingFaceTB/finemath | |
# What is a fractional matching?
For the maximum matching problem, we can find the fractional matching which I understand involves some sort of weighting for the edges. However, I cannot seem to find an exact and simple explanation of what a fractional matching is. How does it compare to an integral matching?
If this... | HuggingFaceTB/finemath |
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