question stringlengths 200 50k | answer stringclasses 1
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|---|---|---|
Correct order of the growth function [closed]
$5 \log( \log n)$
$n (\log n)^2$
$\sqrt{n} \log n$
$n^{\frac{4}{3}}$
$n \log (\log n)$
$7 \sqrt{n}$
What is the ascending order of the growth function? Please give the explanation as well.
closed as off-topic by Antonio Vargas, gebruiker, Watson, Future, user228113 ... | HuggingFaceTB/finemath | |
FutureStarr
How to Calculate 5 Increase
## How to Calculate 5 Increase ## How to Calculate 5 Increase
How do you calculate 5% increase? It's not as difficult as you might initially think. A 5% increase is actually pretty easy to calculate. It makes sense, too. 5% of \$100 is \$5, but if you have \$10,000 in your ban... | HuggingFaceTB/finemath | |
# Proof by cases using Coq
I have a simple theorem that I want to prove using proof by cases. An example is given below.
```Goal forall a b : Set, a = b \/ a <> b.
Proof
intros a b.
...
```
How would I go about solving this. And, exactly how would I define a proof by cases using the two possible values of an equalit... | HuggingFaceTB/finemath | |
# A finite additive measure that is continuous from below is a measure
• Sep 26th 2009, 10:14 PM
A finite additive measure that is continuous from below is a measure
A finite additive measure $\mu$ is a measure iff it is continuous from above. [sorry, I made a mistake in the title, should be "from above"]
I finished ... | HuggingFaceTB/finemath | |
Can you count in threes?
# Year 2 Numbers - Counting in Threes
This quiz addresses the requirements of the National Curriculum KS1 Maths and Numeracy for children aged 6 and 7 in year 2. Specifically this quiz is aimed at the section dealing with counting in steps of three.
Learning to count up and down in steps of... | HuggingFaceTB/finemath | |
## Interpreting Slope
### Learning Objectives
• Differentiate between a positive relationship and a negative relationship Figure 1. This skier speeds down the slope in an Olympic race. What’s your guess as to the steepness, or slope, of this ski hill?
## What the Slope Means
The concept of slope is very useful in e... | HuggingFaceTB/finemath | |
# Statistics - (dependent|paired sample) t-test
A dependent t-test is appropriate when:
• we have the same people measured twice.
• the same subject are been compared (ex: Pre/Post Design)
• or two samples are matched at the level of individual subjects (allowing for a difference score to be calculated)
The idea is ... | HuggingFaceTB/finemath | |
# Direction and Distance Questions for IBPS PO 2020 and SBI PO 2020 | Download Direction Sense Puzzles PDF at Smartkeeda
Directions: Read the following information carefully and answer the questions given beside.
Seven players viz. L,M,N,O,P,Q, and R of Volleyball were standing on a ground such that L was 10m to the ... | HuggingFaceTB/finemath | |
# How to prove that $-|z| le Re (z) le |z|$ and $-|z| le Im (z) le |z|$?
I am reading Ahlfors’ "Complex Analysis". Early in the book, he uses the fact that for $$z in mathbb{C}$$ we have
$$-lVert zrVert le Re (z) le lVert zrVertqquad text{and} qquad -lVert zrVert le Im (z) le lVert zrVert$$
He says that these can ineq... | open-web-math/open-web-math | |
# The angles of a triangle are in A.P.
Question:
The angles of a triangle are in A.P. and the number of degrees in the least angle is to the number of degrees in the mean angle as 1 : 120. Find the angles in radians.
Solution:
Let the angles of the triangle be $(a-d)^{\circ},(a)^{\circ}$ and $(a+d)^{\circ}$.
We kn... | HuggingFaceTB/finemath | |
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# For a Point on the Axis of the Quadrupole, Obtain the Dependence of Potential On R For R/A >> 1 - CBSE (Science) Class 12 - Physics
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ConceptPotential Energy in an External Field Potential Energy of a Dipole in an External Field
... | HuggingFaceTB/finemath | |
# What is the compound interest on $41527 at 32% over 25 years? If you want to invest$41,527 over 25 years, and you expect it will earn 32.00% in annual interest, your investment will have grown to become $42,921,890.08. If you're on this page, you probably already know what compound interest is and how a sum of money ... | HuggingFaceTB/finemath | |
# Osmosis
Image from a computer simulation to demonstrate the process of osmosis; the blue mesh—impermeable to the larger balls—allows others to pass through.
Osmosis is the movement of water molecules across a semi-permeable membrane from a region of low solute potential to an area of high solute potential (or equiv... | open-web-math/open-web-math | |
6 November, 08:20
# At a benefit concert, fifteen bands have volunteered to perform but there is only enough time for five of the bands to play. How many lineups are possible?
+3
1. 6 November, 09:39
0
360,360
Step-by-step explanation:
So we only have 5 spots, but 15 bands to fill those spots.
For the first spot, ... | HuggingFaceTB/finemath | |
# NOTES FOR TEST 1: MATH 3500
Proposition 1.1 The medians of a triangle intersect at a point that is two-thirds of the way from each vertex to the opposite side. it p 5 Exercise 1.2.17 For any x, y ∈ , x − y ≤ x−y . Deduce that Definition A set V ∈ n is called a subspace if: 0∈V; Whenever v ∈ V and c ∈ , then cv ∈ V Wh... | HuggingFaceTB/finemath | |
# How to Find the Increased Percentage of a Value
## Transcript
Hi, my name is Marija, and today I'm going to show you how to find the increased percentage of a value. So to find the percent of increase what we're going to do is we're going to take the new value minus the old value before it was increased and we're g... | HuggingFaceTB/finemath | |
# How many downlights do I need?
The recessed downlight, or can light, is popular for home and office lighting. And for good reason: downlights are energy efficient, stylish, and versatile. But before you install any old number of downlights, it’s important to understand how to calculate the number of downlights you’l... | HuggingFaceTB/finemath | |
# Search results
1. ### Regular heptagon, finding value of unknowns
How do I use 128.57 degrees to help me find the unknowns?
2. ### Regular heptagon, finding value of unknowns
Homework Statement Homework Equations (n-2)*180[/B] The Attempt at a Solution 11.a: 7-2=5, 5*180= 900. 900/7= 128.57 degrees b. How do you f... | HuggingFaceTB/finemath | |
# Calculus
posted by .
F(x) = cos(x) • the integral from 2 to x² + 1 of
e^(u² +5)du
Find F'(x).
When i did this, i got:
-2xsin(x)e^((x²+1)² + 5)
But my teacher got:
-sin(x) • the integral from x² + 1 of e^(u² +5)du + 2xcos(x)e^((x²+1)² + 5)
Do you know why the integral is in his answer? I'm not sure where I went ... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Multiply 75/60 with 7/42
1st number: 1 15/60, 2nd number: 7/42
This multiplication involving fractions can also be rephrased as "What is 75/60 of 7/42?"
75/60 × 7/42 is 5/24.
#### Steps for multiplying fractions
1. Simply multiply the numerators and denominators separately:... | HuggingFaceTB/finemath | |
This site is supported by donations to The OEIS Foundation.
Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A097712 Lower triangular matrix T, read by rows, such that T(n,0) = 1 and T(n,k) = T(n-1,k) + T^2(n-1,k-1) for k>0, where T^2 is the matrix square of T. 9
1, 1, 1, 1, 3, 1, 1, 8, 7, 1, 1... | HuggingFaceTB/finemath | |
Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 months ago
# Simple Geometry. Find x.? Relevance
First, if the sides are x, we can agree the pink shape is a square. Its diagonal will be x√2
If this isn't clear, use the Pythagorean Theorem:
d² = x² + x²
d² = 2x²
d = √(2x²)
d = (√2)x
d = x√2
No... | HuggingFaceTB/finemath | |
### 3.262 $$\int e^{-2 \coth ^{-1}(a x)} (c-a c x)^{5/2} \, dx$$
Optimal. Leaf size=116 $-\frac{16 c^2 \sqrt{c-a c x}}{a}+\frac{16 \sqrt{2} c^{5/2} \tanh ^{-1}\left (\frac{\sqrt{c-a c x}}{\sqrt{2} \sqrt{c}}\right )}{a}-\frac{2 (c-a c x)^{7/2}}{7 a c}-\frac{4 (c-a c x)^{5/2}}{5 a}-\frac{8 c (c-a c x)^{3/2}}{3 a}$
[Out... | HuggingFaceTB/finemath | |
# Graphing
• Jun 5th 2009, 12:46 PM
lisa1984wilson
Graphing
I need to graph the function s(x)=200x+1500/0.02x^2+5
I cant figure out how to graph this function...I'm used to functions without (/) in it!
• Jun 5th 2009, 01:00 PM
Amer
find critical point f'(x)=0 so you can find the increasing and decreasing intervals th... | HuggingFaceTB/finemath | |
## MaBloWriMo 10: Groups
So what is a group? Intuitively, a group consists of a set of things $G$, such that
• there is a way to combine any two things together
• there is a special thing which has no effect when combined with other things
• it is always possible to undo the combining by doing yet more combining.
“S... | HuggingFaceTB/finemath | |
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Quote by sgstudent … in this link: http://www.physicsclassroom.com/mmedia/energy/ie.cfm I don't quite understand what direction the friction will be since its just rolling down. In this case would the wheels friction be like the barked ones or ... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with epsilons similar to Sum the Series:
Filter by: Content type:
Stage:
Challenge level:
### There are 38 results
Broad Topics > Collections > epsilons
### Reciprocal Triangles
##### Stage: 5 Challenge Level:
Prove that the sum of the reciprocals of the first n triangular... | HuggingFaceTB/finemath | |
What is the equivalent volume of 12 glasses of water?
Introduction: Understanding Equivalent Volume
Equivalent volume refers to the amount of space occupied by a given quantity of a substance, as compared to a different amount of another substance. It is a unit of measurement that helps to understand the quantity of ... | HuggingFaceTB/finemath | |
# The maximum value of the term independent
Question:
The maximum value of the term independent of $\mathrm{t}^{\prime}$ in the expansion of $\left(\mathrm{tx}^{\frac{1}{5}}+\frac{(1-\mathrm{x})^{\frac{1}{10}}}{\mathrm{t}}\right)^{10}$ where $x \in(0,1)$ is
1. $\frac{10 !}{\sqrt{3}(5 !)^{2}}$
2. $\frac{2.10 !}{3 \s... | HuggingFaceTB/finemath | |
# Liverpoololympia.com
Just clear tips for every day
# What is class interval example?
## What is class interval example?
The class interval is the difference between the upper class limit and the lower class limit. For example, the size of the class interval for the first class is 30 – 21 = 9. Similarly, the size ... | HuggingFaceTB/finemath | |
## ppm to percent conversion calculator
13.22 ppm to percent = 0.001322%
Formula: 13.22/10,000 = 0.001322%
Formula: Percent × 10000 = result
## 13.22 ppm to percent
See how to convert 13.22 PPM to percent in few steps. You can find the result below and related conversion to 13.22. 13.22 PPM means 13.22 parts per m... | HuggingFaceTB/finemath | |
# Thread: Applications involving relative extremum:Finding numbers
1. ## Applications involving relative extremum:Finding numbers
Find the number in the interval [-1,1] such that the difference of the number minus its square is
a.) A maximum
b.) a minimum
Find the number in the interval [-1,1] such that the differen... | HuggingFaceTB/finemath | |
Lemma 34.8.15. Let $\mathcal{F}$ be a presheaf on $(\mathit{Sch}/S)_{ph}$. Then $\mathcal{F}$ is a sheaf if and only if
1. $\mathcal{F}$ satisfies the sheaf condition for Zariski coverings, and
2. if $f : V \to U$ is proper surjective, then $\mathcal{F}(U)$ maps bijectively to the equalizer of the two maps $\mathcal{... | open-web-math/open-web-math | |
# How many ounces is 0.13 cup?
Sharing is caring!
What is 1/3 of a cup in tablespoons? There are five tablespoons and one teaspoon in 1/3 of a cup. It means 1/3 cup contains 2 and 1/3 fluid ounces or 75.7 grams.
What is 1 cup equal to in ounces? There are five tablespoons and one teaspoon in 1/3 of a cup. It means 1... | HuggingFaceTB/finemath | |
# A. Which method do you prefer in multiplying rational numbers? What is the importance of knowing different methods to carry
A. Which method do you prefer in multiplying rational numbers? What is the importance of knowing different methods to carry out tasks? B. In general, to reciprocate means to do something for so... | HuggingFaceTB/finemath | |
# Carbon and Its Importance
View Notes
## What is Carbon?
Carbon can be defined as a chemical element that is the most common, having the symbol C with atomic number 6. In the periodic table, this element is a member of group 14.
The name carbon has derived from the Latin word “carbo,” which is meant by coal. The c... | open-web-math/open-web-math | |
# Search Our Content Library
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Measurement Learning Check
This resource will help assess your students' mastery of concepts surrounding measurement and time. This worksheet will challenge your third graders with pr... | HuggingFaceTB/finemath | |
# Prove or disprove: If $a\mid (b+c)$, then either $a\mid b$ or $a\mid c$
1,284
## Solution 1
HINT. Maybe try a few examples, like $a=1,b=2,c=3$, and $a=2,b=4,c=6$, and $a=5,b=2,c=3$.
So does this work all the time? If it does how would you show it? If it does not, give an example where it fails. And if it fails, d... | HuggingFaceTB/finemath | |
# Point-free Programming via HKTs
In Typescript, point-free programming has been traditionally limited due to the difficulty the type system has representing the abstracted types associated with point-free (also called ’tacit’) programming.
## 1. What is Tacit Programming?
In tacit programming, functions are represe... | open-web-math/open-web-math | |
# Vector Arithmetic
A vector is a mathematical object that has both a scalar part (i.e., a magnitude and possibly a phase), as well as a direction. Many physical quantities are best described as vectors. For example, the rate of movement through space can be described as speed; i.e., as a scalar having SI base units ... | HuggingFaceTB/finemath | |
# Logical Reasoning Set-4 (Level-2)
### Logical reasoning problems: Logical reasoning problems that boost your logical abilities
Logical reasoning problems will help put your concepts to test. Therefore, do not move out one concept before practicing some problems on that topic. Through this practice, gauge your perfo... | HuggingFaceTB/finemath | |
# The multistage compression of air as compare to single stage compression:
This question was previously asked in
SSC JE ME Previous Paper 2 (Held on: 27 Sep 2019 Morning)
View all SSC JE ME Papers >
1. Increases work done per kg of air
2. Does not improve volumetric efficiency for the given pressure ratio
3. Gives le... | HuggingFaceTB/finemath | |
# Is idempotency, $\rho^2=\rho$, a necessary and sufficient condition for $\rho$ to be a pure state?
I've seen some claims that idempotency ($$\rho^2=\rho$$) is necessary and sufficient to guarantee the existence of some state $$\psi$$ such that $$\rho=|\psi\rangle\langle\psi|$$, as well as claims on the trace such as... | open-web-math/open-web-math | |
# Auto-covariance of the product of deterministic and wide-sense stationary signal
Anybody give me an advice how to find the auto-covariance of the product of deterministic and wide-sense stationary signal. I couldn't find how to solve this, I have looked and searched the internet, I found just 1 similar topic here so... | HuggingFaceTB/finemath | |
# sec(pi/6)
## Enter angle in degrees or radians:
Calculate sec(pi/6)
Since 0 ≤ 0 ≤ π/2 radians
sin, cos and tan are positive.
##### Determine angle type:
0 < 90°, so it is acute
##### Simplify Formula
Sec(θ) = 1 Cos(θ)
sec(π/6) = 1 Cos(π/6)
sec(π/6) = 1 √3/2
sec(π/6) = 2√3/3
##### Special Angle Value... | HuggingFaceTB/finemath | |
# Recognizing even or odd permutation easily?
1. Aug 16, 2013
### vulpe
Hello folks, I'm not even sure if this is the place to put this but with some luck it might be.
I just have a general question about permutations. I understand the concept of even and odd permutations of a set of numbers, what I am hoping for i... | HuggingFaceTB/finemath | |
# Ch 1.3 Frequency Distribution (GFDT)
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ ... | HuggingFaceTB/finemath | |
start in the fascinating and wonderful world of electronics by learning the very primary basics - factors determining capacitance. The principal factors determining capacitance are the areas of the metallic plates themselves and any dielectric (non conducting material) between them
# FACTORS DETERMINING CAPACITANCE
#... | HuggingFaceTB/finemath | |
# Subversion RepositoriesTPPL
Rev
% aims
% * raw material for proposal
% * properties of Isabelle relevant for project context
% * comparison to other TP systems – why Isabelle?
% * communication of Isabelle to non-TP-people
\section{Mission}\label{mission}
We give an overview of the interactive proof assistant... | open-web-math/open-web-math | |
# Sequences and Series Formulas
For understanding and using Sequence and Series formulas, we should know what Sequence and series are.
### What is the Sequence?
An ordered list of numbers which is defined for positive integers. Example: (1,2,3,4)
### What is a series?
It is the sum of the terms of the sequence an... | HuggingFaceTB/finemath | |
# What filter is better with -1/3 2/3 -1/3 or with -1/4 1/2 -1/4 coefficients?
Professor asked me what filter is better -1/3 2/3 -1/3 or -1/4 1/2 -1/4, the answer was second. But what those coefficients means? It was during discussion of linear filter but i'm not sure was it about it.
Both filters can be re-written i... | HuggingFaceTB/finemath | |
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# Area - AREAS AND DISTANCES Suppose that we want to find the...
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AREAS AND DISTANCES Suppose that we want to find the area under a curve. First of all, we need to define what the area is. If we have ... | HuggingFaceTB/finemath | |
Simplify Square Roots with Variables. For example, These types of simplifications with variables will be helpful when doing operations with radical expressions. Look at the two examples that follow. Multiply all numbers and variables outside the radical together. +1) type (r2 - 1) (r2 + 1). Rational Expressions Online ... | HuggingFaceTB/finemath | |
# Prove that $\frac{1}{ab}+\frac{1}{cd} \geq \frac{a^2+b^2+c^2+d^2}{2}$
Let $$a,b,c,d$$ be positive real numbers such that $$a+b+c+d=4$$. Prove that $$\frac{1}{ab}+\frac{1}{cd} \geq \frac{a^2+b^2+c^2+d^2}{2}$$ I write $$a^2+b^2+c^2+d^2=16-2\left(ab+cd+\left(a+b\right)\left(c+d\right)\right)$$. Then the inequality is e... | HuggingFaceTB/finemath | |
If Y varies directly with x, then y=1/2 when x=-2. What is the value of x when y=-4?
Question
If Y varies directly with x, then y=1/2 when x=-2. What is the value of x when y=-4?
in progress 0
6 months 2021-08-07T15:50:08+00:00 1 Answers 1 views 0
x = -16
Step-by-step explanation:
y = kx
1/2 = -2k
k = 1/4
-4 =... | HuggingFaceTB/finemath | |
# Using different matrix elements and showers¶
We now want to modify some hard matrix elements and related options. There may also be a slightly different work flow if you start doing this. To see where this is done, we start with another simple example:
## Higgs production from gluon fusion¶
We have to go back to t... | open-web-math/open-web-math | |
# Statistics open attachments For this assignment, use the data you created in your W1 Midweek Assignment. Using Microsoft Excel and following the instructi
Click here to Order a Custom answer to this Question from our writers. It’s fast and plagiarism-free.
Statistics open attachments For this assignment, use the da... | HuggingFaceTB/finemath | |
Episode #125 of the Stack Overflow podcast is here. We talk Tilde Club and mechanical keyboards. Listen now
2 of 8 showed the non-decreasing claim
"this class of problems lie"s in RE, so its name is "RE".
$$\operatorname{Prob}(\hspace{.02 in}M \text{ accepts}) \; = \; \operatorname{Prob}\hspace{-0.04 in}\big(\hspace... | HuggingFaceTB/finemath | |
# SAT Math : How to use the inverse variation formula
## Example Questions
### Example Question #1 : How To Use The Inverse Variation Formula
The square of varies inversely with the cube of . If when , then what is the value of when
Explanation:
When two quantities vary inversely, their products are always equa... | HuggingFaceTB/finemath | |
kmmiles.com
# 938.5 km in miles
## Result
938.5 km equals 582.8085 miles
You can also convert 938.5 km to mph.
## Conversion formula
Multiply the amount of km by the conversion factor to get the result in miles:
938.5 km × 0.621 = 582.8085 mi
## How to convert 938.5 km to miles?
The conversion factor from km t... | HuggingFaceTB/finemath | |
# Let c who can crack dis 5 - 4 = 23 8 - 1 = 63 6 -16 = 32 9 - 9 = 78 3 - 9 = 6 3 - 81 = ?
1
by rameshshekhar
• Brainly User
2014-05-28T13:03:40+05:30
Let c who can crack dis
5 - 4 = 23
8 - 1 = 63
6 -16 = 32
9 - 9 = 78
3 - 9 = 6
3 - 81 = ?
Solution :
5 - 4 = 23
here 5² = 25
4 = 2²
hence 25 - 2 = 23
8 - 1 = 63
here ... | HuggingFaceTB/finemath | |
How to calculate the needs of Lamps in a room
How many lights are needed to light a room?
How many watt lamps are needed in order to provide optimal lighting in a room?
1 Watt Lamp can provide illumination of 75 Lumen.
For those of you who are currently planning to install lighting installation in a room that may b... | HuggingFaceTB/finemath | |
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MathNet AP is currently upgrading its web site in order to improve access and performance. This maintenance will last a few days.
During this period of time certain facilities (such as forums) will not be available and we will be unable to accept new subscriptions - we apologise for the inconvenience.
Thi... | HuggingFaceTB/finemath | |
### Author Topic: TT1 = Problem 1 (Read 18056 times)
#### Victor Ivrii
• Elder Member
• Posts: 2607
• Karma: 0
##### TT1 = Problem 1
« on: October 16, 2012, 06:26:37 PM »
Consider the first order equation:
u_t + x u_x = 0.
\label{eq-1}
• (a) Find the characteristic curves and sketch them in the $(x,t)$ plane.
• (b... | HuggingFaceTB/finemath | |
+0
# help
0
41
2
What is the number of integers greater than 6000 that can be formed using the digits 3,5,6,7 and 8 without repetition?
Dec 27, 2019
### 2+0 Answers
#1
0
You can make: 5! =120 integers > 6000 such as: {3, 5, 6, 7, 8} | {3, 5, 6, 8, 7} | {3, 5, 7, 6, 8} | {3, 5, 7, 8, 6} | {3, 5, 8, 6, 7} | {3, 5,... | HuggingFaceTB/finemath | |
# Triple Integral
• Jun 5th 2010, 07:48 PM
demode
Triple Integral
Here's a worked question:
http://img249.imageshack.us/img249/5356/90726987.gif
Shouldn't the second to last line be:
$\displaystyle -3 \int^2_0 \int^3_0 \int^1_0 u^2 du dv dw$
where -3 is the Jacobian? Where did the $\displaystyle \frac{1}{3}$ come f... | HuggingFaceTB/finemath | |
# Homework Help: Variable coefficient 2nd order DE
1. Apr 22, 2014
### chipotleaway
1. The problem statement, all variables and given/known data
This an example from Boyce+DiPrima's text on ODEs. Original problem is to solve 2t2y''+3ty'-y=0, given that y1=1/t is a solution.
But I'm stuck at the part where I'm to so... | HuggingFaceTB/finemath | |
## Being Careful with Averages
In crime analysis we are used to calculating averages and when I say average I mean the “mean”—e.g. add up ten numbers and divide by ten—that kind of average. But in crime analysis we are also frequently interested in examining rates or ratios. For example: how many hours of patrol time ... | HuggingFaceTB/finemath | |
# Question Video: Estimating the Cubic Root of a Number by Using Linear Approximation Mathematics • Higher Education
By finding the linear approximation of the function 𝑓(𝑥) = ∛𝑥 at a suitable value of 𝑥, estimate the value of ∛1,001.
04:16
### Video Transcript
By finding the linear approximation of the functio... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Addition & subtraction similar to Right Angle Challenge:
Filter by: Content type:
Stage:
Challenge level:
### Domino Numbers
##### Stage: 2 Challenge Level:
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
### A Dotty Problem
##### Stage: 2 Cha... | HuggingFaceTB/finemath | |
# How do you differentiate f(x) = (3x-2)^4 using the chain rule?
Nov 24, 2015
$f ' \left(x\right) = 12 {\left(3 x - 2\right)}^{3}$
#### Explanation:
According to the Chain Rule:
$f ' \left(x\right) = 4 {\left(3 x - 2\right)}^{3} \cdot \frac{d}{\mathrm{dx}} \left[3 x - 2\right]$
$f ' \left(x\right) = 4 {\left(3 x ... | HuggingFaceTB/finemath | |
# W19 Assignment 2
Updated 2019-09-17
## 1. Comet Hale-Bopp
Comet Hale-Bopp has an orbital period of about 2450 years and an orbital eccentricity of of 0.995.
(a) What is the semi-major axis of Comet Hale-Bopp’s orbit?
We can apply Kepler’s third law: where the period of the planet’s orbit squared is directly prop... | HuggingFaceTB/finemath | |
# PROBABILITY
#### CAMELSMOM
##### New member
i HAVE A STATS QUESTION AND I JUST NEED HELP GETTING STARTED can anyone help me????
. _
P(AorB)=.85
. _
P(Aand B)=.41
. _____
P(Aor B)=.21
........... _
Find P(A/B)
please ignore periods above... this is the only way I can figure to get the lines where I need them
#### ... | HuggingFaceTB/finemath | |
# EXAM-3-CHEAT-SHEET - EQUATIONS Standard Deviation s= y y n1...
• Test Prep
• 7
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EQUATIONS:Standard Deviation: s=(y− ´y)2n1Variance : s2=(y−´y)2n1Z-score: z=y−´yswhere s is standard deviation and ȳ is the mean o... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
1st number: 1 27/63, 2nd number: 1 25/56
90/63 + 81/56 is 23/8.
1. Find the least common denominator or LCM of the two denominators:
LCM of 63 and 56 is 504
2. For the 1st fraction, since 63 × 8 = 504,
90/63 = 90 × 8/63 × 8 = 720/504
3. Likewise, for the 2nd fraction, since 56 × ... | HuggingFaceTB/finemath | |
# Temperatures in degrees Fahrenheit and Celsius
Alignments to Content Standards: F-LE.A.2 F-BF.B.4.a
Let $f$ be the function that assigns to a temperature in degrees Celsius its equivalent in degrees Fahrenheit.
1. The freezing point of water in degrees Celsius is 0 while in degrees Fahrenheit it is 32. The boiling... | HuggingFaceTB/finemath | |
# SOLUTION: How long does it take for an account which is compounded continuously at 2.4% to quadruple if it doubles in 8.5 years?
Algebra -> Algebra -> Customizable Word Problem Solvers -> Finance -> SOLUTION: How long does it take for an account which is compounded continuously at 2.4% to quadruple if it doubles ... | HuggingFaceTB/finemath | |
# Quick Answer: What Are 3 Types Of Variables?
## What is variable explain with example?
In mathematics, a variable is a symbol or letter, such as “x” or “y,” that represents a value.
For example, a variable of the string data type may contain a value of “sample text” while a variable of the integer data type may co... | HuggingFaceTB/finemath | |
# Fluid Density Properties
## Fluid Density Fluid Density is the mass per unit volume and is denoted by the Greek letter ρ (rho).
The dimensions of density are mass per length cubed or M / L³
The old English system of units uses the slug for the unit of mass and feet for the unit of length. Dimensions commonly used ... | HuggingFaceTB/finemath | |
Does a histogram show the median?
Asked by: Layla White | Last update: 18 June 2021
The shape of a histogram can tell you a lot about the distribution of the data, as well as provide you with information about the mean, median, and mode of the data set. ... For a symmetric histogram, the values of the mean, median,... | HuggingFaceTB/finemath | |
# How tall should my Christmas tree be?
This question has vexed me for the 20 years we've lived at my current house. There is a fir tree in the front that I dress every Christmas with lights. It grows. I prune it. This is what it looks like with the lights on...
The bulbs (purple dots) are all on a single string that... | HuggingFaceTB/finemath | |
+0
# :)))
+2
138
1
A company charges \$2 for each balloon in an arrangement and a \$3 delivery fee. You have \$9 to spend. How many balloons can you purchase?
Apr 29, 2021
#1
0
I would say you could purchase 3 balloons.
If each balloon costs \$2 and you need to pay a \$3 delivery fee, then you would set up an eq... | HuggingFaceTB/finemath | |
Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 years ago
# how do you substitution method in both these equation 2x+3y=13.50 and 4x+2y=15.00?
Relevance
• Mike G
Lv 7
9 years ago
2x+3y=13.50 so (4x = 27-6y)
4x+2y=15.00
27-6y+2y=15
-4y = -12
y = 3
x = 9/4
• 9 years ago
okie try to solve for e... | HuggingFaceTB/finemath | |
# Practice Problem: Almost-SAT
## 1. Problem Statement
Consider the Almost-SAT problem defined as following:
Input: A CNF formula $f$ with $n$ variables $x_1, … , x_n$ and $m$ clauses.
Output: An assignment that satisfies exactly $m - 1$ clauses, or NO if no such assignment exists.
Now, our aim is to prove that Al... | HuggingFaceTB/finemath | |
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# Unit 3 Overview: Work, Energy, and Power
Riya Patel
Riya Patel
## Introduction
Unit 3 of physics delves into the concept of work, energy, and power. These concepts are fundamental to understanding the mechanics of the physical world around us, a... | HuggingFaceTB/finemath | |
# Partial derivative
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
of the first order of a function in several variables
The derivative of the function with respect to one of the variables, keeping the remaining variables fixed. For example, if a function $f ( x _ {1}, \dots, x _ {n} )$ ... | HuggingFaceTB/finemath | |
1. ## vector direction
True or false--
the unit vector in the direction of <4, -3> is <4/5, 3/5>.
I say true, am I correct?
When I used the direction formula, I came up with <4/5, -3/5>. Is this the same vector as <4/5, 3/5>?
2. the unit vector will either be <4/5, <-3/5> or the exact oposite of the that vector whi... | HuggingFaceTB/finemath | |
# A marketing firm determined that, of 200 households surveyed, 80 used neither Brand A nor Brand B soap, 60 used only Brand A soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?
A marketing firm determined that, of 20... | HuggingFaceTB/finemath | |
# Matrix one-parameter solution help
#### sara_87
hello people
i was wondering if anyone could help me with this question:
For what values of a and b does the system
ax +bz = 2
ax +ay +4z = 4
ay + 2z = b
have: (i) no solution
(ii) a unique solution
(iii) a one-parameter solution
(iv) a two-parameter solution?
thi... | HuggingFaceTB/finemath | |
# 11613 in words
11613 in words is written as Eleven Thousand Six Hundred and Thirteen. In 11613, the first 1 has a place value of ten thousand, second 1 is in the place value of thousand, 6 is in the place value of hundred, next 1 is in the place value of ten and 3 is in the place value of ones. The article on Place... | HuggingFaceTB/finemath | |
CAT Sample Questions ›› Quantitative Section : Quantitative Comparisons Sample Questions
# Quantitative Comparisons Sample Questions
1. Consider a rectangle. The length of its shorter side is 8, and the length of its diagonal is 16.
Quantity A: 30o
Quantity B: measure of angle formed by diagonal and shorter side
... | HuggingFaceTB/finemath | |
Breaking News
# Profitability Index (PI) Detailed Analysis
Profitability Index (PI) Detailed Analysis, What is profitability index? meaning and definition, Calculation of Profitability Index, Example of Profitability Index. Formula of Profitability Index, When we are thinking of investing into a particular project, ... | HuggingFaceTB/finemath | |
Practice Test: Ratio & Proportion- 2
# Practice Test: Ratio & Proportion- 2
Test Description
## 10 Questions MCQ Test CSAT Preparation for UPSC CSE | Practice Test: Ratio & Proportion- 2
Practice Test: Ratio & Proportion- 2 for Banking Exams 2023 is part of CSAT Preparation for UPSC CSE preparation. The Practice Te... | HuggingFaceTB/finemath | |
# What is the math behind the game Spot It?
I just purchased the game Spot It. As per this site, the structure of the game is as follows:
Game has 55 round playing cards. Each card has eight randomly placed symbols. There are a total of 50 different symbols through the deck. The most fascinating feature of this game ... | HuggingFaceTB/finemath | |
Problems
Cosine Similarity
Problem
Cosine similarity is a measure of similarity between two vectors of an inner product space that measures the cosine of the angle between them. The cosine of 0° is 1, and it is less than 1 for any other angle.
See wiki: Cosine Similarity
Given two vectors A and B with the same siz... | HuggingFaceTB/finemath | |
Home » Horsepower to Kilowatts » 98900 HP to kW
# 98900 HP to kW
Welcome to 98900 hp to kW, our post covering the conversion of 98900 horsepower to kilowatts. 98900 horsepower usually mean 98900 mechanical hp or 98900 metric hp, used, for example, to describe the power of cars in the US (converter default), respectiv... | HuggingFaceTB/finemath | |
# Contraction of metrices
1. Aug 15, 2013
### Dreak
I'm starting to doubt about something:
In 4 dimension, what value has δ$^{λ}_{μ}$ in following equation:
ημ$\nu$η$\nu$λ = δ$^{λ}_{μ}$
is it 4 or 1?
and IF it's 1, what is the difference that this equation:
ημσημσ
= 4?
2. Aug 15, 2013
### CompuChip
$\delta_\... | HuggingFaceTB/finemath | |
## CS 1401 Introduction to Computer Science Fall 2014, Lab 4
Background. Financial gurus advise us that it is important to start saving money as early as possible. Let us use computers to help.
One way to save money is to deposit it in the saving account. This way, you add something to the amount that you deposited. ... | HuggingFaceTB/finemath | |
Professor Murray
The Heat Equation
Slide Duration:
Section 1: First-Order Equations
Linear Equations
1h 7m 21s
Intro
0:00
Lesson Objectives
0:19
How to Solve Linear Equations
2:54
Calculate the Integrating Factor
2:58
Changes the Left Side so We Can Integrate Both Sides
3:27
Solving Linear Equations
5:32
Further N... | HuggingFaceTB/finemath | |
## Take My Bornological Space Class
A "Bornological Space Class" QE" is a standard mathematical term for a generalized continuous expression which is utilized to resolve differential formulas and has options which are regular. In differential Class solving, a Bornological Space function, or "quad" is utilized.
The Bo... | HuggingFaceTB/finemath |
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