question stringlengths 200 50k | answer stringclasses 1
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Solution:
Divide the coins into groups of four (A, B and C). Measure A against B. There are three outcomes:
Weighing ONE: A = B, A > B, A < B.
EQUAL:
If A = B then we know the fake is in C. Label the coins, C1, C2, C3 and C4. Take three of the C coins and three coins that we know are real gold.
Weighing TWO: C1C2... | HuggingFaceTB/finemath | |
# Ray Optics Question
Here is the problem I am working on:
Sunlight enters a room at an angle of theta = 32° above the horizontal and reflects from a small mirror lying flat on the floor. The reflected light forms a spot on a wall that is d = 1.9 m behind the mirror, as shown in Figure 26-42. If you now place a penci... | HuggingFaceTB/finemath | |
Asymptotic series for gamma function ratios
Applications of statistics often require working with
for large x and fixed α and β.
The simplest approximation to this ratio of gamma functions is
You can do a little better [1] with
where c = (α + β − 1)/2.
To get more accuracy we’ll need more terms. Tricomi and Erdél... | HuggingFaceTB/finemath | |
# De Broglie wavelength question.
## Homework Statement
Earth has the mass 6 · 10^24 kg and the orbit radius r = 1.5 · 10^11 m.
(a) Compute its de Broglie wavelength. (b) Apply de Broglie quantization condition
as in the case of the Hydrogen atom and compute the quantum number n for the
orbit of Earth. (c) What is th... | HuggingFaceTB/finemath | |
# Rectangle has area 16 m^2. Express the perimeter of the rectangle as a function of the length of one of its sides.
– If the length of the rectangle is assumed to be larger than its width, calculate the domain of the Perimeter $P$ in terms of interval notation.
The purpose of this guide is to derive an expression fo... | HuggingFaceTB/finemath | |
# What happens when the voltage drop does not equal voltage rise in a closed series circuit?
New to electronics. Can't get my head around so many basic things but the application of KVL is bugging me the most.
I want to know what happens when Kirchoff's voltage law is broken. If for example, I have a 6V battery and a... | HuggingFaceTB/finemath | |
High School Physics
# How to find the maximum height of a ball thrown up?
Let’s see how to find the maximum height of a ball thrown up. First, you will get the formula you need to use, and then see how to use the formula to find the maximum height. We have also provided the step-by-step derivation procedure of this m... | HuggingFaceTB/finemath | |
## Monday, June 9, 2014
### Complementary Formula for Zeta 2 Zeros (1)
I have been discussing the "linear" and "circular" versions of a formula that can calculate both the combined natural factors up to a given number n (on a real scale) and a corresponding frequency of Riemann zeros up to a corresponding number t (o... | HuggingFaceTB/finemath | |
💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
# Using Models Use the model given to answer the questions about the object or process being modeled.The power $P$ measured in horsepower (hp) needed to drive acertain ship at a speed of $s$ knots is modele... | HuggingFaceTB/finemath | |
What Are the Two Purposes of the Digits in Any Number?
# What Are the Two Purposes of the Digits in Any Number?
Digits are symbols in combinations to represent numerals, and numerals represent ideas of numbers. This is similar to how letters are symbols in combination to represent words, and words represent ideas of ... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Compare 28/3 and 30/42
1st number: 9 1/3, 2nd number: 30/42
28/3 is greater than 30/42
#### Steps for comparing fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 3 and 42 is 42
Next, find the equivalent fraction of both fractional numbers... | HuggingFaceTB/finemath | |
# How do you determine whether x-1 is a factor of the polynomial 3x^3-x-3?
Jan 19, 2017
$\left(x - 1\right)$ is not a factor of $3 {x}^{3} - x - 3$
#### Explanation:
In general, if $f \left(x\right)$ is a polynomial, then $\left(x - a\right)$ is a factor if and only if $f \left(a\right) = 0$.
So in our example, we... | HuggingFaceTB/finemath | |
# 8 queens puzzle - recursion using python
I’m trying to solve the 8-queens puzzle, also known as n-queens algorithm.
My function should count how many legal ways are there to place N queens on NxN board.
I almost got it, but had to do some ugly patch to make it work. Can you help me fix it?
A brief on What I did: ... | HuggingFaceTB/finemath | |
# Use of a voltmeter
##### Class practical
Experimenting with a voltmeter leads to a discussion of the meaning of potential difference or voltage.
#### Apparatus and materials
Power supply, low-voltage
Lamp (12 V, 6 W) in holder
Ammeter, (0-1 A), DC
Voltmeter, (0-15 V), DC
#### Health & Safety and Technical not... | HuggingFaceTB/finemath | |
# Fraction calculator
The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and num... | HuggingFaceTB/finemath | |
MAT244--2019F > Quiz-4
TUT0303 Quiz4
(1/1)
Tiantian Yu:
Find the general solution of the given differential equation: y''+4y'+6.25y=0
solution: The auxiliary equation is \begin{equation*}r^2+4r+6.25=0\end{equation*}
By the quadratic formula, the roots are \begin{equation*}r=\frac{-4\pm\sqrt{4^2 - 4(6.25)}}{2}=-2\pm... | HuggingFaceTB/finemath | |
Math and Arithmetic
Time
# How many days does 1 trillion seconds take up?
789
###### Wiki User
1 trillion seconds / 60 seconds/minute / 60 minutes/hour / 24 hours/day = 11574074 days
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0
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0
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## Related Questions
11574074.074074072 DAYS or..... 1653439.1534391534 WEEKS 31709.791983764586 YEARS... | HuggingFaceTB/finemath | |
# How to Calculate MBF of Lumber
Hunker may earn compensation through affiliate links in this story.
The board-foot (BF) is a unit of volume that specifically measures lumber. It is an estimate of the volume of raw lumber and is primarily used in the United States and Canada, although the term "super foot" (superfici... | HuggingFaceTB/finemath | |
# A 40 mm diameter electric cable of an Aluminium conductor of thermal conductivity 240 W/mK is to be insulated with rubber of thermal conductivity 0.15 W/mK. The cable is to be located in the air with a heat transfer coefficient of 6 W/m2K. The critical thickness of insulation will be
This question was previously ask... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
1st number: 3 0/2, 2nd number: 7/9
6/2 + 7/9 is 34/9.
1. Find the least common denominator or LCM of the two denominators:
LCM of 2 and 9 is 18
Next, find the equivalent fraction of both fractional numbers with denominator 18
2. For the 1st fraction, since 2 × 9 = 18,
6/2 = 6 × ... | HuggingFaceTB/finemath | |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# 11.1: Matrices
Difficulty Level: At Grade Created by: CK-12
Name: __________________
## Introduction to Matrices
The following matrix, stolen from a rusted lockbox in the back of a ... | HuggingFaceTB/finemath | |
# geometry
posted by on .
(4x+6)/(16x^2-36)/(4x^2+22x-42)
• geometry - ,
(4x+6)/(4x-6)(4x+6)/(2(x+7)(2x-3)
=
1/(4x-6)/(2(x+7)(2x-3)
=
1/(4(2x-3x)(2x^2+11x-21)
• geometry - ,
unless you meant
(4x+6) / ((16x^2-36)/(4x^2+22x-42))
Then you have
(4x+6) * (x+7)(4x-6) / (4x-6)(4x+6)
= (x+7) | HuggingFaceTB/finemath | |
Problem of the Week #61 - May 27th, 2013
Status
Not open for further replies.
Chris L T521
Well-known member
Staff member
Thanks again to those who participated in last week's POTW! Here's this week's problem!
-----
Problem: Let $a,b\in\mathbb{Z}$, and let $p\in\mathbb{Z}^+$ be prime. Prove the "freshman's binomia... | HuggingFaceTB/finemath | |
# How do you use the Change of Base Formula and a calculator to evaluate the logarithm log_6 120?
Some scientific calculators allow you to choose the base of the logarithm. However, if this is not the case, then the log function needs to be represented in terms of either base $10$ or base $e$.
${\log}_{a} b = {\log}_{... | HuggingFaceTB/finemath | |
16 September, 15:06
In terms of volume how does the size of a red blood cell compare to the size of an enterocyre
+3
1. 16 September, 15:12
0
The have diameter about 7-8 µm and their volumen is 38.48 cm3
Explanation:
Red blood cells and enterocytes have a diameter about 7-8 µm, to find the volume we have to multipl... | HuggingFaceTB/finemath | |
The numbers w,x,y and z are different integers. Is their sum : DS Archive
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack
It is currently 09 Dec 2016, 03:25
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance... | HuggingFaceTB/finemath | |
## Category Archives: IITJEE Foundation Math IITJEE Main and Advanced Math and RMO/INMO of (TIFR and Homibhabha)
### Set theory, functions, relations: part VI
What follows are some more practice questions on functions. The questions are not challenging but we can say that they do lead to conceptual clarity and presen... | HuggingFaceTB/finemath | |
Home Explore the BBC
Life | The Universe | Everything | Advanced Search
2. The Universe / General Astronomy
3. Everything / Maths, Science & Technology / Astronomy
3. Everything / Maths, Science & Technology / Physics
Parsecs
A parsec is not just a word Spock uses to sound clever, it is a unit of distance. The name... | HuggingFaceTB/finemath | |
# Four-momentum of photons
Required math: calculus
Required physics: special relativity
Reference: Moore, Thomas A., A General Relativity Workbook, University Science Books (2013) – Chapter 3; Problem 3.4.
The four-momentum is defined for a particle with a rest mass ${m}$ as
$\displaystyle \mathbf{p}=\gamma m\left... | HuggingFaceTB/finemath | |
# Homework Help: Initial Tension Of Parallel Spring System
Tags:
1. Mar 23, 2015
### stannard97
1. The problem statement, all variables and given/known data
How to calculate initial tension or pretension in a system of two parallel springs.
F=5.33213N
K1+K2=53.0597
x=0.095
Individual springs have initial tension of... | HuggingFaceTB/finemath | |
# Worksheet on Multiplication of a Whole Number by a Fraction
We will practice the questions given in the worksheet on multiplication of a whole number by a fraction. We know to multiply a whole number by a fraction we multiply the top number of the fraction by the whole number and the bottom number of the fraction by... | HuggingFaceTB/finemath | |
# Tag Info
There are variants of Berry-Esseen for bounded independence, although I have not seen one which is as general as the original theorem. For example Theorem 5.1. in Diakonikolas, Kane, Nelson implies a Berry-Esseen theorem for weighted sums of Bernoulli random variables with bounded independence, as long as n... | open-web-math/open-web-math | |
# NCERT & CBSE Solution Chapter 5 Class 7 Maths Lines and Angles ## NCERT & CBSE Solution Chapter 5 Class 7 Maths Lines and Angles
NCERT & CBSE Solution Chapter 5 Class 7 Maths Lines and Angles study material in form of 2D animated videos, question answers,worksheets, previous year papers, online tests, and help desk... | HuggingFaceTB/finemath | |
Groups
YOURAGE BY DINNER & RESTAURANT MATHS
Thisis pretty neat
DON'TCHEAT BY SCROLLING DOWN FIRST!
Ittakes less than a minute. Work this out as you read (you may find a calculator helpful!)
Be sureyou don't read the bottom until you've worked it out!
1. First of all, pick the number of times a week that you would... | HuggingFaceTB/finemath | |
# Vector Field
In vector calculus, a vector field is an assignment of a vector to each point in a subset of Euclidean space. A vector field in the plane, for instance, can be visualized as a collection of arrows with a given magnitude and direction each attached to a point in the plane. Vector fields are often used to... | HuggingFaceTB/finemath | |
Tải bản đầy đủ
V/KHẢO SÁT SỰ BIẾN THIÊN VÀ VẼ ĐỒ THỊ CỦA HÀM SỐ
# V/KHẢO SÁT SỰ BIẾN THIÊN VÀ VẼ ĐỒ THỊ CỦA HÀM SỐ
Tải bản đầy đủ
Ti liu ụn thi THPTQG nm 2017-2018
y=
Cõu 8: Cho hm s
1
;1ữ
2
A.
y=
2x + 1
x 1
x 1
x+2
. th hm s cú tõm i xng l im no sau õy :
B. (1;2)
C. (2;1)
D. (1; - 1)
Cõu 9: Cho hm s
cú th ... | HuggingFaceTB/finemath | |
Year 5
Year 5
# Fractions and division (Part 2)
## Switch to our new maths teaching resources
Slide decks, worksheets, quizzes and lesson planning guidance designed for your classroom.
## Lesson details
### Key learning points
1. In this lesson, we will use short division to make links between fractions and divi... | HuggingFaceTB/finemath | |
What is the probability that the second roll shows an even sum, given that the first roll shows a sum greater than 7?
As the title states: 'If two fair dice are rolled twice, what is the probability that the second roll shows an even sum, given that the first roll shows a sum greater than 7?'
My textbook's answer is ... | HuggingFaceTB/finemath | |
Accurate normalization is an absolute prerequisite for correct measurement of gene expression. For quantitative real-time reverse transcription-PCR (RT-PCR), the most commonly used normalization strategy involves standardization to a single constitutively expressed control gene. However, in recent years, it has become ... | open-web-math/open-web-math | |
Teacher2Teacher Q&A #221
Teaching dividing fractions
T2T || FAQ || Teachers' Lounge || Browse || Search || T2T Associates || About T2T
View entire discussion
[<<prev]
From: Rick (for Teacher2Teacher Service)
Date: Apr 20, 1998 at 04:05:08
Subject: Re: Teaching dividing fractions
One thing you might try is to have ... | HuggingFaceTB/finemath | |
# How To Measure Guide
Click here to access a grid paper template you can use to measure your floor for the purpose of a nVent Nuheat Mat.
• Step 1: Pick starting point
• Step 2: Begin drawing walls
• Step 3: Record all wall measurements
• Step 4: Include small dimensions
• Step 5: Complete wall measurements to start... | HuggingFaceTB/finemath | |
+0
Matching Graph?
-1
353
3
+956
CPhill is always there when you need him!
Nov 15, 2017
edited by Julius Nov 15, 2017
#1
+96106
+2
No graph is shown, Julius
Nov 15, 2017
#2
+956
-1
The graph looks like this:
Nov 15, 2017
#3
+96106
+4
Oh, OK...I see what is meant
The correct answer is the third one.... we ha... | HuggingFaceTB/finemath | |
Definitions
# Feedback arc set
In graph theory, a directed graph may contain directed cycles, a one-way loop of edges. In some applications, such cycles are undesirable, and we wish to eliminate them and obtain a directed acyclic graph (DAG). One way to do this is simply to drop edges from the graph to break the cycl... | HuggingFaceTB/finemath | |
# Conversion of Area
Note: you may also like Conversion Charts and the Unit Converter.
First, you should understand Conversion of Length. If you are comfortable converting miles to kilometers, etc, then you are half way there.
To convert area, simply remember that area is length by width:
Area = Length × Width
So,... | HuggingFaceTB/finemath | |
Explore BrainMass
# How to solve linear equation system
Not what you're looking for? Search our solutions OR ask your own Custom question.
This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!
Matrices have a number of interesting mathematical attributes, such ... | HuggingFaceTB/finemath | |
English | Español
# Try our Free Online Math Solver! Online Math Solver
Depdendent Variable
Number of equations to solve: 23456789
Equ. #1:
Equ. #2:
Equ. #3:
Equ. #4:
Equ. #5:
Equ. #6:
Equ. #7:
Equ. #8:
Equ. #9:
Solve for:
Dependent Variable
Number of inequalities to solve: 23456789
Ineq. #1... | HuggingFaceTB/finemath | |
# 4.7: Review- Examples of Plate Boundaries
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$
( \newcommand{\kernel}{\mathrm{nu... | HuggingFaceTB/finemath | |
# A Treatise on Algebra: Containing the Latest Improvements. Adapted to the Use of Schools and Colleges
Harper & Brothers, 1846 - 503 sider
### Hva folk mener -Skriv en omtale
Vi har ikke funnet noen omtaler pĺ noen av de vanlige stedene.
### Populćre avsnitt
Side 76 - Multiply the divisor thus increased, by the s... | HuggingFaceTB/finemath | |
Monthly Archives: July 2011
Undirected models are better at sampling
The best directed models should always be a worse at generating samples than the best undirected models, even if their log likelihoods are similar for a simple reason.
If we have an undirected model, then it defines a probability distribution by th... | open-web-math/open-web-math | |
## Thursday, March 8, 2012
### Area of an Irregular Rectangular Figure
Finding Area for
An Irregular Rectangular Shape
When you first take a look at the irregular rectangular shape below, you might be unsure how to find the area for the modified shape. However, finding the area for an irregular shape like the one be... | HuggingFaceTB/finemath | |
# 793 US dry barrels in US customary cups
## Conversion
793 US dry barrels is equivalent to 387560.727272727 US customary cups.
## Conversion formula How to convert 793 US dry barrels to US customary cups?
We know (by definition) that: $1\mathrm{drybarrel}\approx 488.727272727273\mathrm{uscup}$
We can set up a pro... | HuggingFaceTB/finemath | |
# If a set is countable and infinite, there is a bijection between the set and $\mathbb{N}$
I'm trying to show that if a set $S$ is infinite and countable then there is a bijection $\varphi : S\to \mathbb{N}$. Since $S$ is countable, we know that there is an injection $f: S\to \mathbb{N}$. Now there are two things tha... | HuggingFaceTB/finemath | |
Tags Math
Benford's law is a really fascinating observation that in many real-life sets of numerical data, the first digit is most likely to be 1, and every digit d is more common than d+1. Here's a table of the probability distribution, from Wikipedia: Now, the caveat "real-life data sets" is really important. Specif... | HuggingFaceTB/finemath | |
# HARMONIC PROGRESSION (HP) - Concept and Properties with Example
HARMONIC PROGRESSION (H.P.)
A sequence is said to be in H.P. if the reciprocal of its terms are in AP.
If the sequence a1, a2, a3, ......., an is an HP then 1/a1, 1/a2,........., 1/an is an AP . Here we do not have the formula for the sum of the n ter... | HuggingFaceTB/finemath | |
## Understanding Equation Balance in Time Series Regression
Abstract: Most contributors to a recent Political Analysis symposium on time series analysis suggest that in order to maintain equation balance, one cannot combine stationary, integrated, and/or fractionally integrated variables with general error correction... | open-web-math/open-web-math | |
# Composing And Decomposing Numbers Worksheet
Composing And Decomposing Numbers Worksheet. Students to follow utilizing words to make and break teen numbers. Select Office button → Excel Options, after which select the Popular part. Students will divide entire numbers with the dividend being no larger than five digits... | HuggingFaceTB/finemath | |
# Whether the statement “ If lim x → 5 f ( x ) = 2 and lim x → 5 g ( x ) = 0 , then lim x → 5 [ f ( x ) / g ( x ) ] does not exist” is true or false.
### Single Variable Calculus: Concepts...
4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
### Single Variable Calculus: Concepts...
4th Edit... | HuggingFaceTB/finemath | |
College Physics for AP® Courses
# Section Summary
### 17.1Sound
• Sound is a disturbance of matter that is transmitted from its source outward.
• Sound is one type of wave.
• Hearing is the perception of sound.
### 17.2Speed of Sound, Frequency, and Wavelength
The relationship of the speed of sound $vwvw size 12{v... | HuggingFaceTB/finemath | |
It is currently 28 Jun 2017, 04:23
### 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 | |
# Mathematics Class 12 Syllabus
There are six units - (i) Relations and Functions (ii) Algebra (iii) Calculus (iv) Vectors and Three-Dimensional Geometry (v) Linear Programming (vi) Probability. Theory paper is of 80 marks.
### Exam Structure
Unit Topic Marks I. Relations and Functions 8 II. Algebra 10 III. Calculu... | HuggingFaceTB/finemath | |
# physics
posted by .
A diver running 2.4 m/s dives out horizontally from the edge of a vertical cliff and 2.6 s later reaches the water below. How high was the cliff?
• physics -
The horizontal distance does not change the time it takes to fall through the height of the cliff. It's there probably to throw you off,... | HuggingFaceTB/finemath | |
# Science:Math Exam Resources/Courses/MATH105/April 2011/Question 08 (c)
MATH105 April 2011
Other MATH105 Exams
### Question 08 (c)
The productivity (measured in the dollar value of goods produced) of a certain country is given by the function
$\displaystyle f(x,y)=160x^{3/4}y^{1/4},$ where $x$ denotes the amount (... | HuggingFaceTB/finemath | |
Question
# You buy a \$200,000 house and have a 20% down payment (hence the mortgage is for...
You buy a \$200,000 house and have a 20% down payment (hence the mortgage is for \$160,000). A 15 year mortgage has a rate of 3.5% and 0 points. The monthly mortgage payment is \$1,143.8 How much (give the dollar amount) of... | HuggingFaceTB/finemath | |
Online Calculator Resource
# Compound Interest Calculator
Compound Interest Calculator
Where: A = P(1 + r/n)nt
A = \$ 13,366.37
## Calculator Use
Calculate compound interest on an investment or savings. Using the compound interest formula, calculate principal plus interest or principal or rate or time. Includes com... | HuggingFaceTB/finemath | |
Home » How Far Is 50 Yards To Walk? New
# How Far Is 50 Yards To Walk? New
Let’s discuss the question: how far is 50 yards to walk. We summarize all relevant answers in section Q&A of website Domainedevilotte.com in category: Blog Technology. See more related questions in the comments below.
## How many footsteps ar... | HuggingFaceTB/finemath | |
# Question: What Is Coordinates In Math?
## How do you find coordinates in math?
To find out the coordinates of a point in the coordinate system you do the opposite. Begin at the point and follow a vertical line either up or down to the x-axis. There is your x- coordinate. And then do the same but following a horizon... | HuggingFaceTB/finemath | |
# In a frequency distribution with classes
Question:
In a frequency distribution with classes 0 –10, 10 –20 etc., the size of the class intervals is 10. The lower limit of fourth class is
(a) 40
(b) 50
(c) 20
(d) 30
Solution:
(d) 30
The lower value of the class interval is called its Lower Class Limit.
First ... | HuggingFaceTB/finemath | |
1. Differentiate the displacement equation (s) to get the velocity equation (v).
2. Use the velocity equation found in (1). Substitute t=0 and the A value found in (1). The reason we substitute t=0 is because the question wants us to find initial velocity or the velocity when the timer started counting.
3. When the par... | HuggingFaceTB/finemath | |
## Open Methods: Fixed-Point Iteration Method
### The Method
Let . A fixed point of is defined as such that . If , then a fixed point of is the intersection of the graphs of the two functions and .
The fixed-point iteration method relies on replacing the expression with the expression . Then, an initial guess for th... | HuggingFaceTB/finemath | |
##### Finding the initial number
Algebra Tutor: None Selected Time limit: 1 Day
Carli spent two-thirds of her money and then spent \$4 more. Then she spent half of her remaining money. It cost her \$1 for the bus ride home. She then had \$5 left over. How much money did she start with?
May 14th, 2015
Go from b... | HuggingFaceTB/finemath | |
# How Do I Calculate Sales Tax Backwards Calculator?
## How do I figure out tax percentage?
Divide taxes paid by net profit to calculate the effective tax rate percentage.
In the example, \$35,000 divided by \$100,000 equals an effective tax rate of 0.35 or 35 percent..
## How do I figure out the amount before tax... | HuggingFaceTB/finemath | |
# homogeneous production function
January 7, 2021
Constant Elasticity of Substitution Production Function, SEBI Guidelines on Employee Stock Option Scheme, Multiplier-Accelerator Interaction Theory. Consequently, the cost minimising capital-labour ratio will remain constant. (iii) Finally, if α + β < 1, there are dec... | HuggingFaceTB/finemath | |
How much is it to straight pipe a car
How fast would the car need to go to double its kinetic energy?
In order to double the kinetic energy of a car, it would need to go twice as fast. The faster the car is going, the more kinetic energy it has. This means that it takes more and more force to increase the speed of th... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from grams to ounces is 0.03527396194958, which means that 1 gram is equal to 0.03527396194958 ounces:
1 g = 0.03527396194958 oz
To convert 174 grams into ounces we have to multiply 174 by the conversion factor in order to get the mass amount from grams to ounces. We can a... | HuggingFaceTB/finemath | |
In a 45 degree-45 degree right triangle, the length of a hypotenuse is 22 ft. How long is a leg of the triangle?
${l}^{2} + {l}^{2} = {\left(22\right)}^{2} \implies 2 {l}^{2} = {22}^{2} \implies l = \frac{22}{\sqrt{2}}$ | HuggingFaceTB/finemath | |
# Two tail and one tail hypothesis testing pdf
How to figure out if you have a one tailed test or two in hypothesis testing. In a two tailed test the null hypothesis specifies only one value of. One tailed hypothesis tests offer the promise of more statistical power compared to an equivalent two tailed design. Topics ... | HuggingFaceTB/finemath | |
# Closeness without distance
In my introduction, I said that topology is fundamentally built on the notion of closeness. Someone very quickly responded on Twitter, because they thought that was wrong. It wasn’t wrong, but it’s easy to see where the confusion came from. Like so much math, Topology is built on a very pr... | HuggingFaceTB/finemath | |
# Mutually exclusive dices?
Suppose I have 3 dice. Each has some mechanism that can prevent other dice being in 2 if itself is 2 when they are rolled together. Now I roll the 3 dice at the same time. Then what is the probability of having a 2 appearing?
Is the answer 1/6 + 1/6 + 1/6 = 1/2 since the event are mutually... | HuggingFaceTB/finemath | |
PARTS OF NATURAL NUMBERS 2
PROBLEMS
To see the answer, pass your mouse over the colored area.
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Do the problem yourself first!
11. Numbers that end in 0's. How much is
a) A third of 180? 60 b) A third of 1,800? 600 c) A fourth of 360? 90 d) A fourth of... | HuggingFaceTB/finemath | |
# Functions question
• Mar 8th 2009, 09:28 PM
demo1
Functions question
Hi, here's a problem that I don't quite understand:
"The sum of two numbers is 26, the sum of their squares is a minimum. Determine the two numbers."
How would i model the 2 numbers? Is this correct? X^2 + (26-X)^2 = 0? What does it mean by the s... | HuggingFaceTB/finemath | |
# Thread: Exponential Growth and rates
1. ## Exponential Growth and rates
Ok, my problem is: Say we start with 1000 birds. Let B represent the bird population, and t = time in days. After 10 days the population is growing at a rate of 20 birds per day. Find B(t).
Now, can I assume that B(0) = 1000? If thats the case... | HuggingFaceTB/finemath | |
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# Increasing Time Value of Money
#### Solution Preview
We have to calculate the future value of a single sum and so we use the FVIF table
1. PV = 40,000, period = 7 years and the rate is 12%
FV = 40,000 X FVIF (12%,7) = 40,000 X 2.2107 = \$88,427.26
2. PV = 10,000, period = 22 quarters, rate ... | HuggingFaceTB/finemath | |
#### Read (93-102) Rocks text version
`. 8 . 8 . 8 . 8 . 8 . 8 . 8 . 8 . 8 .GreaterThan,LessThan,Eq To ualStudents sort rocks by estimated weight, then measure them to check their guesses. Skills and Concepts: measurement of weight; concept of greater than, less than, equal to; graphing; sorting and classifying StepsM... | HuggingFaceTB/finemath | |
# Perfect power
In mathematics, a perfect power is a positive integer that can be expressed as an integer power of another positive integer. More formally, n is a perfect power if there exist natural numbers m > 1, and k > 1 such that mk = n. In this case, n may be called a perfect kth power. If k = 2 or k = 3, then n... | HuggingFaceTB/finemath | |
Quick Homework Help
If 1/4 is 1/12 of HOW, and if 1/4 is 1/6 of twice of WHY, find the product of HOW and WHY. ⚑ Flag
by Len014 at December 16, 2010
Let's let x = HOW and y = WHYNow 1/4 = 1/12 * xMultiply both sides by 12 and 12/4 = 12/12 * x or 3 = x1/4 = 1/6 * yMultiply both sides by 66/4 = 6/6 * y or 1.5 = y3 * 1... | HuggingFaceTB/finemath | |
## 21 Jun 2017
### Crack IBPS Exam 2017 - Quantitative Aptitude Scoring Part (Day-9)
Crack IBPS Exam 2017 - Quantitative Aptitude Scoring Part (Day-9):
Dear Readers, Nowadays most of the aspirants are facing huge trouble to increase the overall marks. To score high you need to practice more and more standard question... | HuggingFaceTB/finemath | |
# Matching parenthesis problem
We understood the concept of stack data structure in last post. Let’s discuss matching parenthesis problemwhich applies those concept. Problem statement is :
Given a string of parenthesis ‘(‘ and ‘)’, write a function which returns true if there are matching pairs and false if there are... | HuggingFaceTB/finemath | |
# 3Blue1Brown Calculus Video: Why are the unraveled rings trapezoids?
In this video https://www.youtube.com/watch?v=WUvTyaaNkzM&list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr, at 2:45, why is the unraveled ring a trapezoid when it should clearly be a rectangle? I was thinking that in real life, the unraveled ring actually is... | HuggingFaceTB/finemath | |
# How do you graph y=sqrt(x+1) and compare it to the parent graph?
Feb 25, 2018
See explanation
#### Explanation:
First begin by graphing the parent graph: $y = \sqrt{x}$
graph{sqrtx [-10, 10, -5, 5]}
Now to graph $y = \sqrt{x + 1}$, let us take a look at the transformation rules concerning $y = \sqrt{x}$.
As we c... | open-web-math/open-web-math | |
# The Longitude Problem
Figuring out how far north or south you are, even when at sea, is fairly easy. You just need to find the height of the sun at noon (i.e., when the sun is due north or south of your position) and apply a corrective factor based on the time of year. That is, all that's required to determine your ... | HuggingFaceTB/finemath | |
## Using the sampling technique assigned to your data set, describe how data may have been gathered using this technique.
In week 8 you are going to submit 2 components; a PowerPoint presentation and an Excel spreadsheet with your calculations. There will be no traditional report in Word, as the intent of this exercis... | HuggingFaceTB/finemath | |
# Thomas Calculus
## Educators
Problem 1
Each of Exercises $1-6$ gives a formula for the $n$ th term $a_{n}$ of a sequence $\left\{a_{n}\right\} .$ Find the values of $a_{1}, a_{2}, a_{3},$ and $a_{4}$ .
$$a_{n}=\frac{1-n}{n^{2}}$$
Check back soon!
Problem 2
Each of Exercises $1-6$ gives a formula for the $n$ th ... | open-web-math/open-web-math | |
# What is trinomial product?
Answered by Willian Lymon
Trinomial product refers to the result obtained when two binomials are multiplied together. In mathematics, a binomial is a polynomial with two terms, and a trinomial is a polynomial with three terms. When we multiply two binomials, we use a method called FOIL, w... | HuggingFaceTB/finemath | |
[This article was first published on The Chemical Statistician » R programming, and kindly contributed to R-bloggers]. (You can report issue about the content on this page here)
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.
#### Introduction
I saw an interesting proble... | HuggingFaceTB/finemath | |
# How do you integrate ((ln(x))^7)/x dx?
Mar 14, 2018
$\frac{1}{8} {\left(\ln \left(x\right)\right)}^{8} + C$
#### Explanation:
We have: $\int$ $\frac{{\left(\ln \left(x\right)\right)}^{7}}{x}$ $\mathrm{dx}$
$= \int$ ${\left(\ln \left(x\right)\right)}^{7} \cdot \frac{1}{x}$ $\mathrm{dx}$
Let $u = \ln \left(x\rig... | HuggingFaceTB/finemath | |
Search a number
2614 = 21307
BaseRepresentation
bin101000110110
310120211
4220312
540424
620034
710423
oct5066
93524
102614
111a67
12161a
131261
14d4a
15b94
hexa36
2614 has 4 divisors (see below), whose sum is σ = 3924. Its totient is φ = 1306.
The previous prime is 2609. The next prime is 2617. The reversal of 2614 ... | HuggingFaceTB/finemath | |
# Thread: The logic of standard error
1. ## The logic of standard error
I hope someone knows how the logic of this equation works.
In finding the standard error in a single sample t-test, why is n square-rooted? What does square rooting this number accomplish as a concept?
I don't have a problem using the equation,... | HuggingFaceTB/finemath | |
## (PLS HELP ASAP <3) a sample of oxygen gas occupies 600mL when the pressure is 900 mmHg, what is the pressure if the volume is increa
Question
(PLS HELP ASAP <3)
a sample of oxygen gas occupies 600mL when the pressure is 900 mmHg, what is the pressure if the volume is increased to 800 mL
in progress 0
1 year 2021... | HuggingFaceTB/finemath | |
For Day 2 Homework Cover Sheet Name:_________________________________________________ 1. Read Pages from 19-33, or watch the videos listed below. Decimal Number System http://www.youtube.com/watch?v=ntpehqS5ejA (12 min) Natural through Complex Numbers http://www.youtube.com/watch?v=MH946PzUGIg (13 min) 2. Attempt p... | HuggingFaceTB/finemath | |
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# Expected Utility Theory
## How to deal with uncertainty
Introduction
• we have talked about individual decision making in
the absence of uncertainty
• in reality, we usually make decision under uncertainty
• example:
1. uncertainty from product quality (second-hand
vehicle)
2. uncertainty in... | HuggingFaceTB/finemath |
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