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Question
At takeoff, a commercial jet has a 60.0 m/s speed. Its tires have a diameter of 0.850 m. (a) At how many rev/min are the tires rotating? (b) What is the centripetal acceleration at the edge of the tire? (c) With what force must a determined $1.00 \times 10^{-15}\textrm{ kg}$ bacterium cling to the rim? (d) Tak... | HuggingFaceTB/finemath | |
## [answered] A sampling distribution of the means is a probability distr
Please answer the following statistics MCQ and True/False(Total 32 Questions).Only professor who have rating of 3 and above may proceed to answer these questions.
Time to complete is 1 hour 45 min.
1. A sampling distribution of the means is a p... | HuggingFaceTB/finemath | |
# Thread: sin(-Ø)-6cos(-Ø)+3tan(2Ø)
1. ## sin(-Ø)-6cos(-Ø)+3tan(2Ø)
Edit: Added some tex tags
This is a question on a review I am doing, my answer doesn't match up with the answer key and I am looking for some input on what I am doing wrong.
If $\displaystyle cos\theta = \frac{1}{6}$ with $\displaystyle \theta$ in q... | HuggingFaceTB/finemath | |
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28.2. Reductions¶
28.2.1. Reductions¶
This module introduces an important concept for understanding the relationships between problems, called reduction. Reduction allows us to solve one problem in terms of another. Equally importantly, when we wish to understand the difficulty of a problem, reduction allow... | HuggingFaceTB/finemath | |
1. ## Heart cam size
How to calculat a heart cam shape size?
2. Nobody else seems to be helping, I'll try.
A circle is a cam with all radii being equal length. A cam is a circle with radii of unequal lengths.
A cam rotates and pushes some cam-follower in and out by the variation of it's radii as it turns. To calcul... | HuggingFaceTB/finemath | |
## Saturday, November 12, 2011
### I threw them a curve
Rote versus reason
Most math teachers would agree that we want two things from our students: (1) correct solutions to math problems and (2) an understanding of those solutions. Of course, some students are perfectly happy with mere technical facility: Please te... | HuggingFaceTB/finemath | |
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# Consecutive Integer Addition
0+1 1 2
1+2 3 2
2+3 5 2
3+4 7 2
4+5 9 2
5+6 11 2
6+7 13 2
7+8 15
0+1+2 3 3
1+2+3 6 3
2+3+4 9 3
3+4+5 12 3
4+5+6 15 3
5+6+7 18 3
6+7+8 21 3
7+8+9 24
-3+-2 -5 2
-2+-1 -3 2
-1+0 -1 2
0+1 1 2
1+2 3 2
2+3 5
## Have you noticed the sums are consecutive odd numbers? This only happens when yo... | HuggingFaceTB/finemath | |
Question
# Simplify by combining like terms: 6x + 12x
Solution
Verified
Answered 1 year ago
Answered 1 year ago
Step 1
1 of 2
Given : $6x+12x$
Adding $6x'$s and $12x$'s gives total $18x$'s. Therefore,
$6x+12x=18x$ | HuggingFaceTB/finemath | |
# How to determine standard equation of a conic from the general second degree equation?
From a given general equation of second degree i can determine the conic by following rules:
Given equation: $ax^2+by^2+2hxy+2gx+2fy+c=0$
then if,
$abc+2fgh-af^2-bg^2-ch^2$ is not equal to zero
the equation represents:
• Para... | HuggingFaceTB/finemath | |
An 0.25*L air bubble is released by a diver at a pressure of 2.4*atm, and a temperature of 288*K. What volume will it express at the surface with T=300*K?
Jan 18, 2016
$\frac{{P}_{1} {V}_{1}}{T} _ 1 = \frac{{P}_{2} {V}_{2}}{T} _ 2$; we use the combined gas law and absolute temperature.
Explanation:
So ${V}_{2} = \f... | HuggingFaceTB/finemath | |
# Why Fractions
16 teachers like this lesson
Print Lesson
## Objective
Students will be able to recognize fractions in their everyday life and attach value to understanding them.
#### Big Idea
I guess sheâs not crazy after all!
## Opener
15 minutes
This unit covers adding and subtracting fractions and mixed n... | HuggingFaceTB/finemath | |
## Closest Pair, Part 1
### February 3, 2015
We will represent points using a pair, with the x coordinate in the `car` and the y coordinate in the `cdr`. We begin with a function to generate a random list of points, for testing:
`(define max-coord 1000000)`
```(define (rand-points n) (define (r) (randint max-coor... | HuggingFaceTB/finemath | |
# total normal stresses of 110 and 40 kpa are applied to two planes at right angles in an element of soil. the shear stress acting on those palnes is 20 kpa. what must be the value of the pore pressure
33,844 results, page 84
1. ## Algebra
The average cost per drink can be found by dividing the total cost (.25x+250=t... | HuggingFaceTB/finemath | |
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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A060900 Number of walks of length n on square lattice, starting at origin, staying on points with x >= 0, y <= x. 8
1, 2, 7, 21, 78, 260, 988, 3458, 13300, 47880, 185535, 680295, 2649570... | HuggingFaceTB/finemath | |
# Discreate math solution essay
Home content content math discrete math discrete math problems top let us have a look at simple discrete math problems solution: a = $\left \{ x:x. Discrete math homework help academic essay place provides high-quality papers covering a wide range of services our services include term p... | open-web-math/open-web-math | |
## Wednesday, 9 March 2016
### Introducing the Concept of Ratios
Introducing the Concept of Ratios
Last week, we had flipped our classroom learning and the children enquired into ratios at home with three levelled options of understanding see: Flipping Classroom for Ratios Enquiries
Part of that enquiry entailed th... | HuggingFaceTB/finemath | |
# 15/10 as a Decimal and Mixed Number
15/10 as a decimal and mixed number expansion provides the detailed information about what is 15/10 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
15/10 as a Decimal Expansion
15/10 = 1.5
Hence,
15/10 as ... | HuggingFaceTB/finemath | |
# ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.4 in Chapter 17 - Mensuration
The adjoining figure represents a solid consisting of a right circular cylinder with a hemisphere at one end and a cone at the other. Their common radius is 7 cm. The height of the cylinder and the cone ar... | HuggingFaceTB/finemath | |
# Einstein's Special Theory of Relativity Quesion
• Oct 26th 2006, 04:09 PM
killasnake
Einstein's Special Theory of Relativity Quesion
I have no idea how to start this problem, We barely learned alittle part of this in class today but the teacher just said read the book and it is easy to undertand. :rolleyes: I read t... | HuggingFaceTB/finemath | |
# Math
The interest rate on a second mortgage was 8 3/4%last month. This month the interest rate is 11 1/8%. How many percentage points has the interest rate increased?
1. 👍
2. 👎
3. 👁
1. Set up an equation.
8 3/4 + x = 11 1/8
Isolate the variable...
x= 11 1/8 - 8 3/4
Find a common denominator (in this case, 8.... | HuggingFaceTB/finemath | |
# n!
• Jun 19th 2010, 10:13 AM
dwsmith
n!
If $\displaystyle n!$ has 58 trailing zeros, what is n?
$\displaystyle \left \lfloor \frac{n}{5} \right \rfloor + \left \lfloor \frac{n}{25} \right \rfloor + \dots + \left \lfloor \frac{n}{5^i} \right \rfloor=58$ where $\displaystyle i=1,2,...,j$
I don't know what to do next... | HuggingFaceTB/finemath | |
## Encyclopedia > Euclidean distance
Article Content
# Euclidean distance
The Euclidean distance of two points x = (x1,...,xn) and y = (y1,...,yn) in Euclidean n-space is computed as
$\sqrt{(x_1-y_1)^2 + (x_2-y_2)^2 + \cdots + (x_n-y_n)^2} = \sqrt{\sum_{i=1}^n (x_i-y_i)^2}$
It is the "ordinary" distance between the ... | HuggingFaceTB/finemath | |
# Thread: Help with a derivation!
1. ## Help with a derivation!
Can someone help me with this derive. I have attached my solution in the picture link here, and in attachment to. Thank you in advance!
2. ## Re: Help with a derivation!
It would help greatly if we had the context for this problem. It looks to me like ... | HuggingFaceTB/finemath | |
Good Morning
Good Morning
# What horsepower means for you
The horsepower reported for the 1969 Camaro Z-28, pictured above, was grossly underrated at just 290. Credit: © General Motors
During the time that I’ve been writing this column I’ve received many questions that were more general in nature than those that I u... | HuggingFaceTB/finemath | |
# (a) Find the directional derivative of f at the given point in the indicated direction. f ( x...
## Question:
(a) Find the directional derivative of {eq}f {/eq} at the given point in the indicated direction.
{eq}f(x,y) = x^2e^{-y}, \ (-2,0) {/eq} in the direction toward the point {eq}(2,-3) {/eq}
(b) Find the equ... | HuggingFaceTB/finemath | |
Home > Standard Error > Command For Robust Standard Error In Stata
# Command For Robust Standard Error In Stata
## Contents
The formula for the clustered estimator is simply that of the robust (unclustered) estimator with the individual ei*xi’s replaced by their sums over each cluster. One of our main goals for this... | HuggingFaceTB/finemath | |
# Uniform convergence of an infinite product
This is taken from Rudin's Real and Complex Analysis pg.314 I'm trying to understand the proof of Muntz Theorem in the text.
Let $\lambda_1, \lambda_2,..$ be positive real numbers such that $\sum\frac{1}{\lambda_k}<\infty$. Define the function $$f(z):=\frac{z}{(2+z)^3}\Pi_... | open-web-math/open-web-math | |
Question
# Two inclined planes OA and OB having inclination (with horizontal) 30∘ and 60∘ respectively , intersect each other at O as shown in figure.A particle is projected from point P with velocity along a direction perpendicular to plane OA. if the particle strickes planne OB perpendicularly at Q, calculate , (i)... | HuggingFaceTB/finemath | |
# Three identical metal plates with large surface areas are kept parallel to each other.The leftmost plate is given a charge Q, the rightmost is given a charge -2Q & the middle one remains neutral.Find the charge appearing on the outer surface of the rightmost plate. { plzz let me know how to you take the sign me... | HuggingFaceTB/finemath | |
# Is there a unique solution for the equations x + y = 9, x + y + z = 10, x - y + z = 1
sciencesolve | Teacher | (Level 3) Educator Emeritus
Posted on
You should eliminate the variable y from the first and the last equations such that:
`x + y + x - y + z = 9 + 1`
Reducing like terms yields:
`2x + z = 10`
You sho... | HuggingFaceTB/finemath | |
# How would you explain Markov Chain Monte Carlo (MCMC) to a layperson?
Maybe the concept, why it's used, and an example.
First, we need to understand what is a Markov chain. Consider the following weather example from Wikipedia. Suppose that weather on any given day can be classified into two states only: sunny and ... | HuggingFaceTB/finemath | |
# VedicMaths : By the deficiency
## Rule/Sutra : By the deficiency
Here we will learn the Vedic sutra ‘By the deficiency’ which means how less or more the number is from the base number. The base number as explained earlier is 10 or a multiple of 10.
7 is deficient by 3 from 10
8 is deficient by 2 from 10
29 is defi... | HuggingFaceTB/finemath | |
# Metamath Proof Explorer
## Theorem ismbfm
Description: The predicate " F is a measurable function from the measurable space S to the measurable space T ". Cf. ismbf . (Contributed by Thierry Arnoux, 23-Jan-2017)
Ref Expression
Hypotheses ismbfm.1 ${⊢}{\phi }\to {S}\in \bigcup \mathrm{ran}\mathrm{sigAlgebra}$
ismbf... | HuggingFaceTB/finemath | |
# Total Pressure or Head Loss in Pipe or Duct Systems
## Major and minor loss in pipe, tubes and duct systems
The head loss of a pipe, tube or duct system, is the same as that produced in a straight pipe or duct whose length is equal to the pipes of the original systems plus the sum of the equivalent lengths of all t... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from meters per second to miles per hour is 2.2369362920544, which means that 1 meter per second is equal to 2.2369362920544 miles per hour:
1 m/s = 2.2369362920544 mph
To convert 76.6 meters per second into miles per hour we have to multiply 76.6 by the conversion factor ... | HuggingFaceTB/finemath | |
# 157.8 lbs to kg – How to Convert Pounds to Kilograms
Source: bing.com
Have you ever encountered the measurement of 157.8 pounds (lbs) and wanted to know its equivalent in kilograms (kg)? As different countries and industries use varying units of measurement, it is common to need to convert between units. In this ar... | HuggingFaceTB/finemath | |
# What is the equation of the line normal to f(x)=3x^2 +x-5 at x=1?
$x + 7 y = - 6$
#### Explanation:
We need to obtain first the slope m which is negative reciprocal of the slope of the tangent line at x=1 on the curve $f \left(x\right) = 3 {x}^{2} + x - 5$
Compute the first derivative $f ' \left(x\right)$ and $m... | HuggingFaceTB/finemath | |
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# Integers Class 7 Notes CBSE Maths Chapter 1 (Free PDF Download)
Last updated date: 02nd Aug 2024
Total views: 666.9k
Views today: 18.66k
## Exam - Focused Revision Notes for CBSE Class 7 Maths Chapter 1 - Integers
CBSE Class 7 Maths Chapter 1... | HuggingFaceTB/finemath | |
# Word Problems of Addition and Subtraction up to 20, First Grade Test
A free math test of addition and subtraction word problems for first grade students.
Problem #1
Ronald has 8 video games and his brother has 6 video games. How many games do they have in total?
Problem #2
Dwayne bought 12 apples and 6 oranges. How... | HuggingFaceTB/finemath | |
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` A person is standing on a truck moving with a constant velocity o... | HuggingFaceTB/finemath | |
Induction Motor Thyristor Soft Starter Circuit Diagram
• Circuit Diagram
• Date : November 28, 2020
Induction Motor Thyristor Soft Starter Circuit Diagram
Motor Thyristor Soft Starter
Induction Motor Thyristor Soft Starter Circuit DiagramSolving For Your Melt-Point of a Liquid To be able to fix for the melting poi... | HuggingFaceTB/finemath | |
## Visualized Algorithm Challenge 2: Finding the Difference Between Two Arrays
This is part 2 of an occasional series about visual explanations of algorithms in JavaScript. This scenario was originally used in the “Intermediate Algorithms” section of FreeCodeCamp.
When someone presents a programming challenge to you,... | HuggingFaceTB/finemath | |
## Teaching Geometry According to the Common Core ... - Berkeley Math
Jan 1, 2012 - Let the line containing the blue vector be denoted by l (this is the ...... the traditional presentations of theorems in Euclidean geometry if one so ...
Teaching Geometry According to the Common Core Standards H. Wu c
Hung-Hsi Wu 201... | HuggingFaceTB/finemath | |
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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A054225 Triangle read by rows: row n (n>=0) gives the number of partitions of (n,0), (n-1,1), (n-2,2), ..., (0,n) respectively into sums of pairs. 30
1, 1, 1, 2, 2, 2, 3, 4, 4, 3, 5, 7, ... | HuggingFaceTB/finemath | |
# Answers to Questions in Chapter 2
Date conversion 08.04.2017 Size 58.47 Kb.
## Answers to Questions in Chapter 2
Note: No. before indicates a page number
Page
45 Assume that there are 200 consumers in the market. Of these, 100 have schedules like Rachael’s and 100 have schedules like David’s. What would be t... | HuggingFaceTB/finemath | |
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# 1.1: Addition of Integers
Difficulty Level: Advanced Creat... | HuggingFaceTB/finemath | |
# Very simple circuit (LED and battery)
#### photastic27
Joined Apr 12, 2016
1
I'm asking you all a very easy question relative to what is usually posted on here. I have a lot of "book-knowledge" on circuits, etc. but not much practical knowledge. So I thank you for your patience... If I'm trying to make a circuit wi... | HuggingFaceTB/finemath | |
# show that the quadrilateral formed by joining the midpoints of the consecutive side of a square is also a square
Let ABCD is a square such that AB = BC = CD = DA, AC = BD and P, Q, R and S are the mid points of the sides AB, BC, CD and DA respectively.
However, the diagonals of a square are equal.
∴ AC = BD … (5)... | HuggingFaceTB/finemath | |
• Statistics (Mean, Median, Mode, Standard Deviation)
Choice E
$$\overline X=\frac{61+76+79+80+80+84+91+90}{8}$$
$$\overline X=\frac{641}{8}$$
$$\overline X=80.125>79$$
So the mean is greater.
$$Median=\frac{80+80}{2}=80$$
So the median is equal.
$$Mode=80$$
Hence, mode is also equal. | HuggingFaceTB/finemath | |
# How do you find the inverse function of f(x) = x/(x+1)
## Expert Answers Find the inverse of the function `f(x) = x/(x+1)`
First, we let `y = f(x).`
So we now can say: `y = x/(x+1)`
To find the inverse I can switch x and y and solve for y:
First, `x = y/(y+1)`
Rewrite as: `x = 1 - (1/(y+1))`
Subtract 1: `(... | HuggingFaceTB/finemath | |
# ERRATA - Mike's Civil PE Exam Guide
3 replies to this topic
### #1 Jayman_PE
Jayman_PE
Quid pro quo
• Senior Member
• 271 posts
• Gender:Male
• Location:Minnesota
• Interests:Bicycling, running, outdoors.
• Discipline:Civil
Posted 11 March 2012 - 06:29 PM
Overall good book. Kind of a feel good prep for the AM ... | HuggingFaceTB/finemath | |
# Reasoning behind equations in analysis of electrical circuit
I am currently studying the mathematics textbook Nonlinear Dynamics and Chaos by Strogatz. As part of an example, I am provided with the following electrical circuit and accompanying explanation: Example 2.2.2: Consider the electrical circuit shown in Figu... | HuggingFaceTB/finemath | |
# Real Analysis, Folland Proposition 2.30 Modes of Convergence
Proposition 2.30 - Suppose that $\{f_n\}$ is Cauchy in measure. Then there is a measurable function $f$ such that $f_n\rightarrow f$ in measure, and there is a subsequence $\{f_{n_j}\}$ that converges to $f$ a.e. Moreover, if also $f_n\rightarrow g$ in mea... | open-web-math/open-web-math | |
# Gate-Level Minimization
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1 MEC520 디지털공학 Gate-Level Minimization Jee-Hwan Ryu School of Mechanical Engineering Gate-Level Minimization-The Map Method Truth table is unique Many different algebraic expression Boolean expressions may be ... | HuggingFaceTB/finemath | |
Hydrostatic Pressure and Pascal's Law for Static Fluids
written by: Swagatam • edited by: Lamar Stonecypher • updated: 2/14/2011
This article relates Pascal’s law for static fluids and subsequently explains what hydrostatic pressure is. The various formulas required for the evaluation of the discussed laws have been ... | HuggingFaceTB/finemath | |
Teaching support from the UK’s largest provider of in-school maths tuition. one to one lessons schools supported
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One to one tuition designed to build confidence and engagement in an interactive low-stakes environment
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Here you can find all of our free se... | HuggingFaceTB/finemath | |
# Derivatives in action
1. Oct 13, 2011
### LaurieAG
2. Oct 13, 2011
### John Creighto
Reading the executive summary the only line that concerns me is:
"The notional amount of derivatives held by insured U.S. commercial banks increased $5.3 trillion, or 2.2%, from the first quarter of 2011 to$249 trillion. Notion... | open-web-math/open-web-math | |
# Acyclic Graph & Directed Acyclic Graph: Definition, Examples
Descriptive Statistics > Directed Acyclic Graph
A tree with nodes A B C D E F and G.
Directed acyclic graphs (DAGs) are used to model probabilities, connectivity, and causality. A “graph” in this sense means a structure made from nodes and edges.
• Node... | HuggingFaceTB/finemath | |
Q. 15.0( 1 Vote )
# <span lang="EN-US
Given. ABCD is a parallelogram.
AB = CD ; BC = AD , AB = 7 cm, BC = 5 cm , ABC = 60°
Formula used. Area of parallelogram = base × height
Steps of construction
Step 1 : Draw a line AB of 7cm
Step 2 : Make an angle of 60° on point B and extend ray to BC’ Step 3 : Make an arc o... | HuggingFaceTB/finemath | |
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Shaping the Universe II - the Solar System
Stage: 3 and 4
The second in a series of articles on visualising and modelling shapes in the history of astronomy.
Shaping... | HuggingFaceTB/finemath | |
Published: Jul 28, 2021 · Modified: Aug 9, 2021 by Kate Hackworthy · This post may save on computer affiliate links · leaving a Comment
Are you wonder how countless ounces in a gallon? the isn"t simple to remember just how to transform liquid oz come a gallon or gallons come ounce. You"ll need to do a little straightf... | HuggingFaceTB/finemath | |
# Solve absolute value inequality : abs(3x - 8) > 7 Dolly Robinson 2020-10-31 Answered
Solve absolute value inequality : $|3x-8|>7$
You can still ask an expert for help
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Solve your problem for the price of one coffee
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# Thread: exponential decay
1. ## exponential decay
Five grams of a certain radioactive isotope decay to three grams in 100 years. Assuming that the rate of decay is proportional to the amount present, after how many more years will there be just one gram?
Now assume that the rate of decay is proportional to the squ... | HuggingFaceTB/finemath | |
# Maximal (among non-principal ideals) Ideal Must be Prime
If $I$ is an ideal which is maximal among the ones that are not principal, then $I$ is prime.
This would mean that for all $f \in R$, $(f) \subset I$. Could I then use colon ideals? I was thinking maybe that for $P$ prime, $(P: (f) )= R$ if $f \in P$ or $(P: ... | open-web-math/open-web-math | |
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## Ignore words
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a+b=b+a
ab=ba
Commutative Property of Multiplication
(a+b)+c=a+(b+c)
(AB)C = A(BC)
Associative Property of Multiplication
a+0=a... | HuggingFaceTB/finemath | |
# Expected value of the residuals
How would one prove that the expected value of the residuals from OLS regression is zero? I will make two cases. In the first case I treat $$X_i$$ as random and in the second case I treat it is non-random.
First case. We know that $$\hat{u}_i = y_i - \hat{y}_i$$. Taking the expectati... | HuggingFaceTB/finemath | |
Acceleration: overcome its limits towards a new mechanical analysis.
Dec 5, 2022 | ACADEMY, WEBINAR
The typical way to assess the acceleration capacities is to perform a maximal sprint starting from the blocks. This would not always be truthful for the football player, who rarely starts from a standstill. This study ... | HuggingFaceTB/finemath | |
# What is E equal to in Physics? Component 2
What is E equivalent to in Physics? It will be a significant response towards the question of “what certainly is the pressure of gravity?” It’s a last reply to some dilemma that may be nonetheless a mystery in Physics.
The gurudissertation.net/ correct strategy of E is ver... | HuggingFaceTB/finemath | |
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# Answer to Question #17204 in Statistics and Probability for Kristen
Question #17204
1. Use the method specified to perform the hypothesis test for the population mean . WeatherBug say that the mean daily high for December in a large Florida city is F... | HuggingFaceTB/finemath | |
# Nuclear Medicine: Determining Maximum Time for Drug Concentration
The concentration C(t) in milligrams per cubic centimeter of a particular drug in a patient’s bloodstream is given by: where t is the number of hours after the drug is taken.
1. How many hours after the drug is given will the concentration be maximum... | HuggingFaceTB/finemath | |
0
Q:
# Mr. Gupta borrowed a sum of money on compound interest. What will be the amount to be repaid if he is repaying the entire amount at the end of 2 years?I. The rate of interest is 5 p.c.p.a.II. Simple interest fetched on the same amount in one year is Rs. 600.III. The amount borrowed is 10 times the simple intere... | HuggingFaceTB/finemath | |
# How to calculate Laspeyres Price Index
#### Author: Sarthak Bhalerao
1. What is the Laspeyres Price Index?
2. Formula for calcualting the index
3. Pros and cons of Laspeyres Price Index
4. Conclusion
What is the Laspeyres Price Index?
Laspeyres Price Index is a consumer price index that is used to measure the cha... | HuggingFaceTB/finemath | |
## Internal Energy and Enthalpy
#### Learning Objective
• Review enthalpy of reaction
#### Key Points
• At constant volume, the heat of reaction is equal to the change in the internal energy of the system.
• At constant pressure, the heat of reaction is equal to the enthalpy change of the system.
• Most chemical re... | HuggingFaceTB/finemath | |
# How to Calculate and Track your Macros
## Introduction
If you’ve been on Instagram in the past 5 years you may have noticed a trend with brands sponsoring fitness women and male models. These people aren’t chosen at random, and they are not “blessed with great genes”. No, they worked their asses off and most import... | HuggingFaceTB/finemath | |
Infinite / Finite-Dimensional Vector Space Comparison Theorem
Infinite / Finite-Dimensional Vector Space Comparison Theorem
Theorem 1: If $U$ is a subspace of a finite-dimensional vector space $V$, then $U$ is finite-dimensional.
• Proof: First consider the case where $U$ is the zero subspace. In such a case, clearl... | HuggingFaceTB/finemath | |
# How do you find the degree of a trinomial 18y^5 - 9y^4 + 1?
The degree of the trinomial $18 {y}^{5} - 9 {y}^{4} + 1$ is $5$.
The degree of a polynomial with one variable is equal to the greatest exponent on that variable. The greatest exponent in the equation $18 {y}^{5} - 9 {y}^{4} + 1$ is $5$. Therefore, the degre... | HuggingFaceTB/finemath | |
# Help with Vertical Motion Problem
1. Jun 14, 2012
### theintarnets
1. The problem statement, all variables and given/known data
I just want to know if I am doing this correct please!
A wrench is dropped from rest and hits the ground with a speed of 24 m/s. Find the height from which it was dropped and the length ... | HuggingFaceTB/finemath | |
# Appendices - Section A.1 - Real Numbers and the Real Line - Exercises A.1 - Page AP-6: 25
Proof given below.
#### Work Step by Step
We alternatively defined $|x|$ as $|x|=\sqrt{x^{2}}$ Apply on $x=ab:$ $|ab|=\sqrt{(ab)^{2}}=\sqrt{a^{2}b^{2}}=\sqrt{a^{2}}\cdot\sqrt{b^{2}}=|a|\cdot|b|$
After you claim an answer you... | HuggingFaceTB/finemath | |
# What is the Solution Set of the Quadratic Inequality
What is the Solution Set of the Quadratic Inequality
In algebra, solving a quadratic inequality is very like to solving a quadratic equation. The departure is that with quadratic equations, yous set the expressions equal to aught, but with inequalities, you’re in... | HuggingFaceTB/finemath | |
# Arrangement of six triangles in a hexagon
You have six triangles. Two are red, two are blue, and two are green. How many truly different hexagons can you make by combining these triangles?
I have two possible approachtes to solving this question:
1. In general, you can arrange $n$ objects, of which $a$ are of type... | HuggingFaceTB/finemath | |
### Bracing System - Structural arrangement that ensures stability in Longitudinal Direction
What happens to a building when it is subjected to wind loads? Any building or structures, in general, must ensure stability in two directions (Lateral & Longitudinal) to safely transfer loads from the location of application ... | HuggingFaceTB/finemath | |
# Chestnuts
Neil has 5-times chestnuts less than Adrian. Together they have 894 chestnuts.
How many chestnuts has Neil and Adrian?
Correct result:
Neil: 149
#### Solution:
$a=\frac{894}{5+1}=149$
$b=\frac{5\cdot 894}{5+1}=745$
We would be pleased if you find an error in the word problem, spelling mistakes, or i... | HuggingFaceTB/finemath | |
# What is the domain and range of y = sqrt(x^2 + 2x + 3)?
Apr 25, 2016
With radical functions the argument under the root-sign and the outcome are always non-negative (in real numbers).
#### Explanation:
Domain :
The argument under the root sign must be non-negative:
We 'translate' by completing the square:
${x}^{... | HuggingFaceTB/finemath | |
# Elements of Algebra: An Abridgment of Day's Algebra
Durrie & Peck., 1848 - Algebra
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### Contents
Introduction 13 Addition of Powers 105 20 Operations stated in common language translated into algebraic 21 Adding quantiti... | HuggingFaceTB/finemath | |
### Find the probability that for family with four children
Assignment Help Mathematics
##### Reference no: EM132607618
Question 1.
A survey obtained the following results: 42 people had been to the Moon, 57 had been to Mars, 52 had been to Venus, 17 had been to the Moon and Mars, 12 had been to the Moon and Venus, 7... | HuggingFaceTB/finemath | |
## The Birthday Paradox
Nov 18 2013 Published by under probability
To me, the thing that makes probability fun is that the results are frequently surprising. We've got very strong instincts about how we expect numbers to work. But when you do anything that involves a lot of computations with big numbers, our intuitio... | HuggingFaceTB/finemath | |
# Wealthy Maths: Calculate inflation
In Latest, Wealthy Maths by Stealthy Wealth
Inflation is when the things you buy get more expensive as time goes by. I’m sure you’ve noticed it.
Knowing about inflation is useful because it makes planning for your future easier.
This article will show you how you can work with i... | HuggingFaceTB/finemath | |
# Closed Sets and Convergent Sequences
• Aug 10th 2010, 08:41 AM
RedBarchetta
Closed Sets and Convergent Sequences
I was reading this theorem in my analysis text and came across something I could not quite follow:
Theorem: Let S be a subset of the metric space E. Then S is closed if and only if, whenever $p_1, p_2, .... | open-web-math/open-web-math | |
# Quick question from Book 1- QUANT
I thought variance cannot be calculated as the sum of weighted probabilities, as per below example…can someone clarify? Thanks, e.g. probability: 0.15 0.45 0.24 0.16 respectively, EPS: 2.6 2.45 2.2 2.00 Therfore, variance = 0.15(2.6-2.34) + 045(2.45-2.34) + … + 0.15(2-2.34)
yes it... | HuggingFaceTB/finemath | |
Physics
16 October, 12:58
# If a 66.0-kg person stands with both feet on the same step, what is the gravitational potential energy of this person on the first step of the flight of stairs relative to the same person standing at the bottom of the stairs?
+3
1. 16 October, 13:46
0
U₁ = 129.4 J
Explanation:
The poten... | HuggingFaceTB/finemath | |
# LeetCode: 301. 删除无效的括号¶
## 1、题目描述¶
输入: "()())()"
输入: "(a)())()"
输入: ")("
## 2、解题思路¶
• 首先从左只有扫描一遍，找出需要删除的最小数量的左括号和右括号
• 然后从右向左扫描，找出当前位置需要的左括号的数量（如果当前位置左括号数量已经超过右括号，跳出）
• 采用回溯法，从第一个位置开始，尝试进行左右括号的删除操作
• 当删除的左右括号数量等于最少删除数量时，判断两个拼接的字符串是否
class Solution:
def removeInvalidParentheses(self, s: str) -> List[str]:
... | HuggingFaceTB/finemath | |
Find answers to all questions with us
# How do you find the standard deviation of 5 numbers?
## How do you find the standard deviation of 5 numbers?
To calculate the standard deviation of those numbers:
1. Work out the Mean (the simple average of the numbers)
2. Then for each number: subtract the Mean and square th... | HuggingFaceTB/finemath | |
## How to get equilibrium constant from Gibbs free energy
We know that Gibbs free energy (G) equals H - T*S (G=H-T*S), but how is G related to equilibrium constant k?
Since at equlibrium condition, k=Q (Q is the reaction quotient), and deltaG=0 , we can put all of these numbers into the formula deltaG = deltaG° + RT... | HuggingFaceTB/finemath | |
90 in Words deserve to be written as Ninety. If you have saved 90 dollars, then you have the right to write, “I have actually simply saved Ninety dollars.” Ninety is the cardinal number word of 90 which denotes a quantity.
You are watching: How do you spell 90 in word form
90 in Words = NinetyNinety in Numbers = 90 L... | HuggingFaceTB/finemath | |
## Posts Tagged ‘weight force’
### Friction Reduces Pulleys’ Mechanical Advantage
Tuesday, December 13th, 2016
The presence of friction in mechanical designs is as guaranteed as conflict in a good movie, and engineers inevitably must deal with the conflicts friction produces within their mechanical designs. But un... | HuggingFaceTB/finemath | |
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18 Area
# 18 Area - 18 AREA 1 =x2(1x.=0and x=1. 2 =3 2xx2andy=5_
This preview shows pages 1–5. Sign up to view the full content.
y x 18. AREA 1. The diagram shows the graph of y 2 = x 2 (1 – x ). The curve cuts the x -axis at x = 0 and x = 1. Find th... | HuggingFaceTB/finemath | |
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# 4 5special binomial operations
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# Poisson equation on the complex plane with mixed boundary conditions
I would like to compute the Green function for the Laplacian on the complex plane, with mixed Neumann and Dirichlet boundary conditions (see equation 4.150 of Blumenhagen, Lust, Theisen "Basic Concepts of String Theory".)
Let us start from a simpl... | open-web-math/open-web-math | |
# Basic Forces & Bolts: Getting Started on Homework
• el_diablo549
In summary, the conversation discusses the distribution and calculation of forces on bolts and plates in a tower structure. There is confusion about the loading on the cables and the number of foundations, but there are two possible methods for finding... | HuggingFaceTB/finemath |
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