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## Question
Gauthmathier7111
YES! We solved the question!
Check the full answer on App Gauthmath
Two forces of $$30$$ and $$70$$ pounds act on a point in a plane. If the angle between the force vectors is $$40^{\circ }$$. what are the magnitude and direction (relative to the $$70$$-pound force) of the resultant for... | HuggingFaceTB/finemath | |
## Summer Lesson Planning: The Galton Board
Well, I’ve started planning some activities/interesting questions to add to my AP Stats curriculum. I’ve noticed that my teaching lacks the ability to have my students see the normal distribution happen naturally. Every year, I’m forced to have my students take my word tha... | HuggingFaceTB/finemath | |
Let k be a positive integer such that k+4 is divisible by 7. Then the smallest positive integer n, greater than 2, such that k+2n is divisible by 7 equals
1. 7
2. 5
3. 9
4. 3
Since (k+4) is divisible by 7, so remainder when (k+4) is divided by 7 is 0.
k + 2n should be divisible by 7.
k + 2n + 4 - 4 should be divisi... | HuggingFaceTB/finemath | |
# BC Calculus Assignment 54: Area-Volume Problems
• Class: 5H: BC Calculus
• Author: Peter Atlas
• Text: Calculus Finney, Demana, Waits, Kennedy
Directions: For each of the following, give the solution on a single, detachable sheet of paper (that is, the solution to number 1 is on one sheet, the solution to number 2 ... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Subtract 8/9 from 70/40
1st number: 1 30/40, 2nd number: 8/9
70/40 - 8/9 is 31/36.
#### Steps for subtracting fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 40 and 9 is 360
2. For the 1st fraction, since 40 × 9 = 360,
70/40 = 70 × 9/40 ... | HuggingFaceTB/finemath | |
# Conditional Probability with coins (Edited with Progress)
You have two coins that look identical, but one of them is fair and the other is weighted. The weighted coin has a 3/4 probability to flip heads and a 1/4 probability to flip tails. You forget which coin is which, so you test each coin by flipping it once. If... | HuggingFaceTB/finemath | |
1. ## [Sloved]Change of Variables
Evaluate
$\displaystyle \iint_D {(x+2y)exp(y-x) dxdy}$
where D={y<x<2-2y, 0<y< 2/3}
by letting
u=x+2y
v=y-x
2. Originally Posted by chialin4
Evaluate
$\displaystyle \iint_D {(x+2y)exp(y-x) dxdy}$
where D={y<x<2-2y, 0<y< 2/3}
by letting
u=x+2y
v=y-x
The new region of integration is ... | HuggingFaceTB/finemath | |
[Updated] Goldman Sachs Aptitude Test Questions and Answers
Practice List of TCS Digital Coding Questions !!!
Take 50+ FREE!! Online Data Interpretation Mock test to crack any Exams.
# Bar Charts Questions
Home > Data Interpretation > Bar Charts > General Questions
NA
SHSTTON
49
Solv. Corr.
108
Solv. In. Corr.
157
At... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from quarts to tablespoons is 63.999999999784, which means that 1 quart is equal to 63.999999999784 tablespoons:
1 qt = 63.999999999784 tbsp
To convert 6.1 quarts into tablespoons we have to multiply 6.1 by the conversion factor in order to get the volume amount from quart... | HuggingFaceTB/finemath | |
0
# What is sixty-three thousand and three-hundred and sixty divide by 12?
Updated: 9/16/2023
Wiki User
14y ago
5250 & 30. Unless you meant sixty three thousand, three hundred and sixty; which equals 5280.
Wiki User
14y ago
Earn +20 pts
Q: What is sixty-three thousand and three-hundred and sixty divide by 12?
S... | HuggingFaceTB/finemath | |
If 6 - 5 = 1, then 46 - 5 = 41.
# Adding and Subtracting One-Digit Numbers from Two-Digit Numbers
This Math quiz is called 'Adding and Subtracting One-Digit Numbers from Two-Digit Numbers' and it has been written by teachers to help you if you are studying the subject at elementary school. Playing educational quizze... | HuggingFaceTB/finemath | |
# Place Value Concentration
Place Value Activity for ages 4 to 8.
For most kids, understanding place value requires lots of practice – it’s a pretty complicated concept after all. This game is an easy way to make all of that hard work fun. Grab your freebie by scrolling below and get ready for some serious competiti... | HuggingFaceTB/finemath | |
Wellcome!
Question 1. Asked on :05 October 2019:10:39:04 AM
Write the First Law of motion.
-Added by Himanshi Verma Science » Force And Laws Of Motion
Nishant Verma
An object will be in rest or in motion until unbalanced force applied on it.
An object continues to be in a state of rest or of uniform motion along ... | HuggingFaceTB/finemath | |
# Multiplication Table for 92
### Multiplication Table for 92
92 x 1 = 92 92 x 2 = 184 92 x 3 = 276 92 x 4 = 368 92 x 5 = 460 92 x 6 = 552 92 x 7 = 644 92 x 8 = 736 92 x 9 = 828 92 x 10 = 920 92 x 11 = 1012 92 x 12 = 1104 92 x 13 = 1196 92 x 14 = 1288 92 x 15 = 1380 92 x 16 = 1472 92 x 17 = 1564 92 x 18 = 1656 92 x ... | HuggingFaceTB/finemath | |
### GOT IT Now
For this challenge, you'll need to play Got It! Can you explain the strategy for winning this game with any target?
### Is There a Theorem?
Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?
... | HuggingFaceTB/finemath | |
How do you solve w^2/24-w/2+13/6=0 by completing the square?
Jul 18, 2016
The solutions will be $w = 6 \pm 4 i$.
Explanation:
We can start by removing fractions from the mix by multiplying both sides by $24$:
${w}^{2} - 12 w + 52 = 0$
Now observing that we need an equation looking like $w + b$ where $2 b = - 12$ i... | HuggingFaceTB/finemath | |
A polynomial function is a function which is defined by a polynomial expression. Examples: f(x) = x2 + x - 6; P(x) = x3 - x2 - 12x; y1 = x2 + 4x + 4
First, let's review some information about polynomial graphs from Algebra 1.
Continuous: The graphs of polynomial functions are continuous. You can draw the ... | HuggingFaceTB/finemath | |
# How do I evaluate this sum(involving the floor function)? [duplicate]
$$\sum_{i=1}^N\left\lfloor\frac{N}{i}\right\rfloor$$ Is there a closed form expression to the above sum? (Mathematica doesn't give me anything)
• $N\ln(N)$ would be a good approximation.
– Guy
Apr 5 '14 at 6:40
• It doesn't have an exact closed f... | HuggingFaceTB/finemath | |
# What is 267% of 37?
## 267 percent of 37 is equal to 98.79
%
267% of 37 equal to 98.79
Calculation steps:
( 267 ÷ 100 ) x 37 = 98.79
### Calculate 267 Percent of 37?
• F
Formula
(267 ÷ 100) x 37 = 98.79
• 1
Percent to decimal
267% to decimal is 267 ÷ 100 = 2.67
• 2
Multiply decimal with the other number... | HuggingFaceTB/finemath | |
algebra
posted by snow
Find the domain and range of the relation and determine whether it is a function?
Domain x>1 range y>0yes it is a function
Domain all real numbers,range all real numbers yes it is a function
Domain positive integers, range positive integers no it is not a function
Domain x>0, range>1 no it is n... | HuggingFaceTB/finemath | |
# Document 14435872 ```ENGR 1990 Engineering Mathematics
Applications of Systems of Linear, Algebraic Equations in Electrical Engineering
Consider the double-loop DC circuit shown
in the diagram. Application of Kirchhoff’s
Current Law tells us that the current in the
middle path (common to both loops) is the
sum of the... | HuggingFaceTB/finemath | |
# Percentages
HideShow resource information
• Created by: Emma Gent
• Created on: 08-05-13 16:35
• Finding Percentages of Amounts
• Some percentages have short-cuts eg. 20% = 20/100= 1/5 so just divide by 5
• To find a percentage out of a number other than 100 eg 26% of 52 . you would just divide 26 by 52 then times... | HuggingFaceTB/finemath | |
# Property of a determinant proof using LDU decomposition
I don't think that this one has been asked, but I've been told that there is proof for a fundamental property of determinants that hinges on LDU decomposition of a matrix. I just can't figure out what property that is and I don't even know why one would want to... | open-web-math/open-web-math | |
# What is a constant term in math example?
## What is a constant term in math example?
A constant term in mathematics is a term in an algebraic equation whose meaning is constant or cannot change because it has no modifiable variables. For example, in the quadratic polynomial x² + 2x + 3 = 0, the term 3 is a constant... | HuggingFaceTB/finemath | |
# Parasitic number
An n-parasitic number (in base 10) is a positive natural number which, when multiplied by n, results in movement of the last digit of its decimal representation to its front. Here n is itself a single-digit positive natural number. In other words, the decimal representation undergoes a right circula... | HuggingFaceTB/finemath | |
1. ## Double Integral Help
Hi, I can do some basic double integrals but I am having trouble tackling this, any help would be appreciated.
2. ## Re: Double Integral Help
Originally Posted by fourierT
Hi, I can do some basic double integrals but I am having trouble tackling this, any help would be appreciated.
$I = \... | HuggingFaceTB/finemath | |
Show Summary Details
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Open Engineering
formerly Central European Journal of Engineering
Editor-in-Chief: Ritter, William
1 Issue per year
CiteScore 2017: 0.70
SCImago Journal Rank (SJR) 2017: 0.211
Source Normalized Impact per Paper (SNIP) 2017: 0.787
ICV 2017: 100.00
Open Access
Online
ISSN
2391-... | open-web-math/open-web-math | |
# Thread: Complex Numbers, Find The Unknown - Help
1. ## Complex Numbers, Find The Unknown - Help
I am stuck on question 11, it is below:
If anyone is able to do this it would be great, but if you can somehow show me the working out/steps involved. Though, any tips/help would also be appreciated.
thanks,
Matt.
EDI... | open-web-math/open-web-math | |
## Friday, 28 February 2014
### MFM2P - Day 18
Day 18
Today was about consolidating their knowledge of solving linear equations. We started by gluing some examples in the comp books and filing them in. (There was space between the examples.)
Then they spent most of the remainder of the class working through a handou... | HuggingFaceTB/finemath | |
Metamath Proof Explorer < Previous Next > Nearby theorems Mirrors > Home > MPE Home > Th. List > ttukey Structured version Visualization version GIF version
Theorem ttukey 9223
Description: The Teichmüller-Tukey Lemma, an Axiom of Choice equivalent. If 𝐴 is a nonempty collection of finite character, th... | HuggingFaceTB/finemath | |
# physics
posted by .
a curve of radius 50 m is to be banked, so that the automobile may make a turn at a speed of 15 m/s without depending on friction. at what angle should the road be banked?
• physics -
Formula: tanØ=v^2/gr
Given:
Velocity=15m/s
Required:Ø
Solution:
tanØ= (15m/s)^2/ (9.8m/s)(50m)
Ø= arctan(1... | HuggingFaceTB/finemath | |
1. ## Interpolation
Hi good morning: I have a question with the following:
In a university in 2002 had 10,400 students enrolled, and 2007, 13200.
Estimating how many there were: 2003, 2005, 2000, 2010 and 2040.
SOLUTION:
For the linear interpolation formula:
$\displaystyle f(x) = f(x_0) + \displaystyle\frac{f(x_1)... | HuggingFaceTB/finemath | |
f the perimeter of the rectangle shown is 86 feet, we can use the equation 6x – 10 = 86 to find its dimensions. If the solution to this equa
Question
f the perimeter of the rectangle shown is 86 feet, we can use the equation 6x – 10 = 86 to find its dimensions. If the solution to this equation is x = 16, what are the... | HuggingFaceTB/finemath | |
## Calculating the Distance Between Geographical Coordinates in Kotlin
There’s an equation I’ve often found useful and have generally used it for calculating the distance between geographical coordinates. Most recently, I used the equation in a program for a 360 interactive video player to find the distance between an... | HuggingFaceTB/finemath | |
# Find The Value of Given Term :
1. 1/8
2. 1/16
3. 1/32
4. 1/64
Anurag Mishra Professor Asked on 26th October 2015 in
1 Answer(s)
Answer: (1) 1/8
Explanation:-
4 – 5/(1 + 1/(3 + 1/(8 + 1)/4
= 4 – 5/(1 + 1/(3 + 1/9/4
= 4 – 5/(1 + 1/(3 + 4/9)
= 4 – 5/(1 + 1/(27 + 4)/9
= 4 – 5/(1 + 1/31/9
= 4 – 5/(1 + 9)/31
= 4 – ... | HuggingFaceTB/finemath | |
# Learning Objectives for Simple Interest
## Presentation on theme: "Learning Objectives for Simple Interest"— Presentation transcript:
Learning Objectives for Simple Interest
The student will be able to compute simple interest using the simple interest formula. The student will be able to solve problems involving in... | HuggingFaceTB/finemath | |
# The angle at the apex opposite to the base of an isosceles triangle is 30 degrees.
The angle at the apex opposite to the base of an isosceles triangle is 30 degrees. Find the side of the triangle if its area is 529.
Let’s use the formula to calculate the area S of a triangle along two sides and the angle between th... | HuggingFaceTB/finemath | |
# Puzzle IQ Test: Spot the missing number to replace the question mark in 11 seconds!
Puzzle IQ Test: If you like to solve puzzles and riddles in your free time, then this puzzle is for you! Riddles can be considered a more challenging version of riddles and puzzles because these brain games are solved by logical reas... | HuggingFaceTB/finemath | |
# cosecant function calculator
Trigonometric SIN COS functions in Excel for Sine and Cosine The Period goes from one peak to the next (or from any point to the next matching point): Label points of interest Sine Graph . The properties of trigonometric functions must be used to calculate measurements using the inverse ... | HuggingFaceTB/finemath | |
{[ promptMessage ]}
Bookmark it
{[ promptMessage ]}
Problem Set 19s
# Problem Set 19s - Hung Nguyen Problem Set 19 Solution 6.1...
This preview shows pages 1–2. Sign up to view the full content.
Hung Nguyen Problem Set 19 Solution GE 207C 6.1 Area Between Curves 1 1. Sketch the region enclosed by the given curves... | HuggingFaceTB/finemath | |
In number theory, given a prime number p, the p-adic numbers form an extension of the rational numbers which is distinct from the real numbers, though with some similar properties; p-adic numbers can be written in a form similar to (possibly infinite) decimals, but with digits based on a prime number p rather than ten,... | HuggingFaceTB/finemath | |
posted by .
sin^6 x + cos^6 x=1 - (3/4)sin^2 2x
work on one side only!
LS looks like the sum of cubes
sin^6 x + cos^6 x
= (sin^2x)^3 + (cos^2x)^3
= (sin^2x+cos^2x)(sin^4x - (sin^2x)(cos^2x) + sin^4x)
= (1)(sin^4x - (sin^2x)(cos^2x) + sin^4x)
Now let's do some "aside"
(sin^2x + cos^2)^2 would be
sin^4x + 2(sin^2x)(c... | HuggingFaceTB/finemath | |
Bodhee Prep-CAT Online Preparation
| Best Online CAT PreparationFor Enquiry CALL @ +91-95189-40261
# CAT 2019 Quant Question with Solution 53
Question:
How many factors of $2^{4} \times 3^{5} \times 10^{4}$ are perfect squares which are greater than 1 ?
${{2}^{4}}\times {{3}^{5}}\times {{10}^{4}}={{2}^{8}}\times {{... | open-web-math/open-web-math | |
## FANDOM
3,572 Pages
SOURCE EDITOR ONLY!This page uses LaTeX markup to display mathematical formulas. Editing the page with the VisualEditor or Classic rich-text editor disrupts the layout.Do not even switch to one of these editors while editing the page!For help with mathematical symbols, see Mathematical symbols ... | open-web-math/open-web-math | |
Home > Percent Error > Percentage Error Analysis
# Percentage Error Analysis
It is clear that systematic errors do not the request again. To convert relative error to absolute error, simply long it takes an apple to drop 2 meters. Rather one should write 3 x 102, oneuncertainty in the quantity and has the same units ... | HuggingFaceTB/finemath | |
# Questions for Kinematics (JC) Set 1
Show/Hide Sub-topics (Kinematics | A Level)
A rescue plane is flying horizontally with a speed of 50 m s-1 and at an altitude of 200 m above the sea when it drops a warning flare.
Neglecting air resistance and assuming that the plane does not change its course, speed or altitude... | HuggingFaceTB/finemath | |
X
X
# Calculate the Greatest Common Factor or GCF of 910
The instructions to find the GCF of 910 are the next:
## 1. Decompose all numbers into prime factors
910 2 455 5 91 7 13 13 1
## 2. Write all numbers as the product of its prime factors
Prime factors of 910 = 2 . 5 . 7 . 13
## 3. Choose the common prime ... | HuggingFaceTB/finemath | |
Finding Solutions
In the study of polynomial equations, it is important to understand how to find the solution of the equation. Equations of higher degree allow for many solutions. The maximum number of solutions possible is equal to the degree of the polynomial. Graphs can be used to find the solutions of polynomial ... | HuggingFaceTB/finemath | |
Question 1
Don’t just sit there! Build something!!
Learning to mathematically analyze circuits requires much study and practice. Typically, students practice by working through lots of sample problems and checking their answers against those provided by the textbook or the instructor. While this is good, there is a mu... | HuggingFaceTB/finemath | |
Logan Glover
2023-03-13
What is the cube root of $27{a}^{12}$?
kuskdtq
Assign the term we are looking for the number n. We can then express this issue as follows:
$n=\sqrt[3]{27{a}^{12}}$
And, because $\sqrt[n]{x}={x}^{\frac{1}{n}}$ we can then rewrite it as:
$n={\left(27{a}^{12}\right)}^{\frac{1}{3}}$
Next, we can... | HuggingFaceTB/finemath | |
# MCQ Questions for Class 8 Maths Chapter 3 Understanding Quadrilaterals with Answers
If you’re looking for a way to enhance your Class 8 Maths, then look no further than the NCERT MCQ Questions for Class 8 Maths Chapter 3 Understanding Quadrilaterals with Answers. The MCQ Questions for Class 8 Maths with Answers are ... | HuggingFaceTB/finemath | |
It is currently 13 Dec 2017, 18:48
Decision(s) Day!:
CHAT Rooms | Ross R1 | Kellogg R1 | Darden R1 | Tepper R1
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.
Customi... | HuggingFaceTB/finemath | |
Doppler Effect
• Doppler Effect states that there is a change in the frequency of sound because of the relative motion between the observer or the listener and the source of the object.
• In simpler words when the source and the listener are in a relative motion there is a change in the frequency of sound and this eff... | HuggingFaceTB/finemath | |
# 1836.7 minutes in hours
## Result
1836.7 minutes equals 30.6117 hours
You can also convert 1836.7 minutes to hours and minutes.
## Conversion formula
Multiply the amount of minutes by the conversion factor to get the result in hours:
1836.7 min × 0.0166667 = 30.6117 hr
## How to convert 1836.7 minutes to hours... | HuggingFaceTB/finemath | |
Search a number
179 is a prime number
BaseRepresentation
bin10110011
320122
42303
51204
6455
7344
oct263
9218
10179
11153
1212b
1310a
14cb
15be
hexb3
• 179 can be written using four 4's:
179 has 2 divisors, whose sum is σ = 180. Its totient is φ = 178.
The previous prime is 173. The next prime is 181. The reversal o... | HuggingFaceTB/finemath | |
pinkoryx
Joined Dec 11, 2017
47
I am studying a lesson on decoders, when I came across this exercise. I do have a brief understanding on decoders and what they do, but I don't understand this example in particular:
We have available 74138 decoders and wish to select one of 32 devices.
(What is meant by this?)
We wou... | HuggingFaceTB/finemath | |
# Potential Energy
```Potential Energy
Directions: read and highlight and then answer the questions at the end.
Different types of Energy
Recall, energy can be broken down into two basic forms. Since energy is the ability to do work, we
defined it using the term work. Energy can be thought of as both “work waiting to ... | HuggingFaceTB/finemath | |
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# Chapter 2 Kinematics Slide 1 of 24
## Presentation on theme: "Chapter 2 Kinematics Slide 1 of 24"— Presentation transcript:
Chapter 2 Kinematics Slide 1 of 24
Everything in the universe is in motion. Nothing is permanently at rest. Kinematics These slides adapted from material... | HuggingFaceTB/finemath | |
# 5.1: Plot an Ordered Pair
Learning Outcomes
1. Draw $$x$$ and $$y$$ axes.
2. Plot a point in the xy-plane
We have already gone into detail about how to plot points on a number line, and that is very useful for single variable presentations. Now we will move to questions that involve comparing two variables. Workin... | HuggingFaceTB/finemath | |
# Highest Common Factor
Highest common factor (H.C.F) of two or more numbers is the greatest number which divides each of them exactly.
Now we will learn about the method of finding highest common factor (H.C.F).
Steps 1:
Find all the factors of each given number.
Step 2:
Find common factors of the given number.
... | HuggingFaceTB/finemath | |
# Electromagnetism - Need Help for Test
I know I'm suppose to use the equation F = (kq1q2)/r^2
I tried doing [.1/sq. root (2)] m for two of the forces and just .1 m for one. I plug all the numbers into the equation and add up the 3 but it doesn't work.
Related Introductory Physics Homework Help News on Phys.org
dyna... | HuggingFaceTB/finemath | |
0
# What score must he get on his fifth test to average 85 percent for all five tests if his first four scores were 77 percent 83 percent 89 percent and 86 percent?
Wiki User
2010-06-16 19:15:18
(77+83+89+86+x)/5=85
(335+x)/5=85
(335+x)=85*5
335+x=425
x=425-335
x=90
He must get 90% on his fifth test to averag... | HuggingFaceTB/finemath | |
# Deriving motion of a displaced piston on a gas cylinder
1. May 13, 2014
### Agrasin
First, I'm a second year high school physics student so my thinking may be half-baked. I was wondering what motion a piston would exhibit if it was the frictionless lid of an ideal gas cylinder with a constant amount of air, and if... | HuggingFaceTB/finemath | |
Fill in Number Line Worksheet
📆 1 Jan 1970
🔖 Line Category
📂 Gallery Type
Number Line Worksheets
Blank Fraction Number Line Worksheets
Fill Missing Number Worksheets
Fill in the Blank Number Line Worksheets
Fill Missing Number Worksheets
Missing Number Line Worksheets
Missing Number Line Worksheets
Place Val... | HuggingFaceTB/finemath | |
## 14 The intermediate value theorem
We can now prove the intermediate value theorem within ASD, in the two forms (non-singular and singular) that we discussed in Section 2. In the non-singular case on a closed bounded interval, the approximate forms of the theorem in the previous section are enough to ensure that th... | HuggingFaceTB/finemath | |
# Algebra Polynomials and Factoring Vocab
## 11 terms
### Monomial
one term that consists of a number, a variable, or the product of the 2 with whole number exponents
### Degree of a Monomial
The sum of the exponents of the variables in the monomial
### Polynomial
a monomial or the sum of monomials, each called ... | HuggingFaceTB/finemath | |
Harmonic Motion: Undamped
A force exerted by an elastic cord or by a spring obeys Hooke’s law $F=-kx$ where $x$ is the displacement of the equilibrium position. Credit: This picture was taken from a Wikipedia page at https://en.wikipedia.org/wiki/File:Hookes-law-springs.png
From Newton’s second law of motion we have ... | HuggingFaceTB/finemath | |
# PUZZLEVILLA
Login /Signup
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### Register
OR
Holmes Puzzle: Members in Each Group
Difficulty Level
In order to solve a case, Holmes was forced to work in disguise of a travelling man and found himself living with a group of nomads. One day, while he spent time with them, he was able to note the follo... | HuggingFaceTB/finemath | |
# Math
The Bookholder Company manufactures two types of bookcases out of oal and walnut. Model 01 requires 5 board feet of oak and 2 board feet of walnut. Model 02 requires 4 board feet of oak and 3 board feet of walnut. A profit of \$75 is made on each Model 01 bookcase and a profit of \$125 is made on each Model 02 ... | HuggingFaceTB/finemath | |
# Solve the equations: x + y = 1 x^2 + 4y = 18
justaguide | College Teacher | (Level 2) Distinguished Educator
Posted on
We have to solve x + y = 1 and x^2 + 4y = 18
x + y = 1
=> x = 1 - y
substitute in x^2 + 4y = 18
=> (1 - y)^2 + 4y = 18
=> 1 + y^2 - 2y + 4y = 18
=> y^2 + 2y - 17 = 0
y1 = -2/2 + sqrt (4 + 6... | HuggingFaceTB/finemath | |
# Series convergence and its reciprocal
If $$\sum a_n$$ converges, then $$\sum \frac{1}{a_n}$$ diverges to $$\infty$$
If $$\sum a_n$$ diverges, then for every $$M > 0$$ $$\exists$$ $$n$$ such that $$s_n > M$$
^ Are the statements above true? I'm not given any information about $$a_n$$, which is a series. $$s_n$$ den... | HuggingFaceTB/finemath | |
# How Many Operators Do I Need to Balance a Line (with SMV and Line Target)?
I have the following data of a sewing section. How many operators do I need to balance the line and what will be the production target per hour at 60% efficiency? SAM of different processes is given: Make Collar- 0.50; Top Stitch Attach Colla... | HuggingFaceTB/finemath | |
# How to solve the recursive formula $P(n)=\sum_{k=1}^{n-1}P(k)P(n-k)$
I saw this recursive formula in a slide on algorithm design. It talks about matrix chain-multiplication, and its complexity is shown below. But according the recursive formula, I can't figure out the solution in the slides.
$$P(n)= \begin{equation... | HuggingFaceTB/finemath | |
# Are orbits equal if and only if stabilizers are conjugate?
Let $X$ be a topological space and $G$ a group acting on $X$. Do we have this property:
$$\operatorname{orb}(x)=\operatorname{orb}(y)\iff\operatorname{stab}(x)\sim \operatorname{stab}(y)\qquad ?$$ where $\operatorname{orb}(x)$ is the orbit of $x$, $\operato... | HuggingFaceTB/finemath | |
# Chapter 14 Trigonometric Graphs, Identities, and Equations - 14.7 Apply Double-Angle and Half-Angle Formulas - Guided Practice for Examples 1, 2, and 3 - Page 956: 8
$2\cos x(1-\cos x)$
#### Work Step by Step
Using the given formula and the known values: $\sin 2x\tan \frac{x}{2}=2\sin x\cos x\frac{1-\cos x}{\sin x... | HuggingFaceTB/finemath | |
# A water tank can be emptied in 40 minutes by a pipe of d 'diameter, so how long will it take for a 2d diameter pipe to be emptied?
35 views
in Aptitude
closed
A water tank can be emptied in 40 minutes by a pipe of d 'diameter, so how long will it take for a 2d diameter pipe to be emptied?
1. 20 min
2. 10 min
3. 40 m... | HuggingFaceTB/finemath | |
## A Rocking Semi-Cylinder
There is a homogeneous semi-cylinder of radius r and mass m lying on a horizontal plane.
a) Determine the moment of inertia of the semi-cylinder about the line where the semi-cylinder touches the plane.
b) We will displace the semi-cylinder by a small angle from its equilibrium position an... | HuggingFaceTB/finemath | |
# Fractions of a Number
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## Enter angle in degrees or radians:
Calculate sec(291)
sec is found using Hypotenuse/Adjacent
##### Determine quadrant:
Since 270 < 291 < 360 degrees
it is located in Quadrant IV
cos is positive.
##### Determine angle type:
291 > 90°, so it is obtuse
##### Simplify Formula
Sec(θ) = 1 Cos(θ)
sec(291) = 1... | HuggingFaceTB/finemath | |
##### 4.10.14 $$2 y(x) y'(x)=x^3+x y(x)^2$$
ODE
$2 y(x) y'(x)=x^3+x y(x)^2$ ODE Classification
[_rational, _Bernoulli]
Book solution method
The Bernoulli ODE
Mathematica
cpu = 0.227979 (sec), leaf count = 57
$\left \{\left \{y(x)\to -\sqrt {-x^2+c_1 e^{\frac {x^2}{2}}-2}\right \},\left \{y(x)\to \sqrt {-x^2+c_1 e^{... | HuggingFaceTB/finemath | |
# Creating Colored Images from Regular Expressions
Note: This post creates some cool colors, but to see something truly stunning, check out dln385’s images, inspired by these posts.
In my last post, I detailed an algorithm for generating images using regular expressions. However, I found them a tad boring and mundane... | HuggingFaceTB/finemath | |
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# How a Joukowsky Ellipse Emerges in the Non-Euclidean Plane of Constant Curvature
In previous blogs we saw that Newton's slope of the tangent line to the curve of the trajectory,
r'/r =\pm \tan\theta, (1)
where the prime denotes differentiation with respect to \theta gives either a straight line... | HuggingFaceTB/finemath | |
# Homework Help: Work-Energy Incline Problem with Two objects
1. Nov 1, 2012
### mcmahc
1. The problem statement, all variables and given/known data
Block 1 is moving to the right (with velocity v1) when block two is released from rest on
an incline, as shown (from height hi). They meet on the horizontal section of... | HuggingFaceTB/finemath | |
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# How to compute for effective interest rate
By continuing to use our site, you agree to our. It's been a while since I've been in school. Can I use the effective with a nominal interest rate. In this formula, r represents an investment, it can be interest rate using a different berekenen Print Edit Send ... | HuggingFaceTB/finemath | |
General Identities General Mathematical Identities for Analytic Functions
Summation
Finite summation
This formula is the definition of the finite sum.
This formula shows how a finite sum can be split into two finite sums.
This formula shows that a constant factor in a summand can be taken out of the sum.
This for... | HuggingFaceTB/finemath | |
# Is the following series converging $\sum_{n=2}\dfrac{1}{(\ln n)^{\ln n}}$ [duplicate]
Is the following series converging $\sum_{n=2}\dfrac{1}{(\ln n)^{\ln n}}$
I am not able to compare this with anything, can some show the way
## marked as duplicate by Brian Fitzpatrick, Jonas Meyer, saz, Hakim, Adam HughesOct 28 ... | open-web-math/open-web-math | |
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# Q.5 Find the eigen values and eigen vectors, hence also find the inverse by the CayleyHamilton Theorem of the following matrices : (i) , (ii) , (iii) Q.7 Find the Rank of the following matrices $\left[\begin{array}{ccc} 1 & 5 & 6 \\ 2 & 3 & 4 \\ -1 & 2 & 2 \en... | HuggingFaceTB/finemath | |
This is a post for grade 2 students.
I am sure that you must have learnt addition by now. I am going to train you for a smarter addition skill. The aim is to make addition ‘simple & visual’ for you.
Let’s take a look at an example
8 + 4 & 10 + 2
The answer is same in both cases but somehow ca... | HuggingFaceTB/finemath | |
# Multiplication IntroductionHow to do Multiplication
This page gives an introduction to the process of multiplication, and explains what exactly we are doing when we multiply numbers.
Multiplication involving whole numbers, is really a certain form of addition.
The symbol for multiplication is a standard cross ×... | HuggingFaceTB/finemath | |
Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :
# Simple Equations and Its Applications
In our day to day lives, we generally come across many situations where we observe simple equations and its applications.
## What is Simple Equation?
A mathematical equation wh... | HuggingFaceTB/finemath | |
# Crystals
Crystals are solids with a long range order, periodicity. The atoms in a crystal are in a regular
repeating pattern called the crystalline lattice. A crystal is a repeating array. In describing this
structure we must distinguish between the pattern of repetition (the lattice type) and what is
repeated (the ... | HuggingFaceTB/finemath | |
# Transformations of a parabola.
• Nov 10th 2011, 04:19 PM
squelia
Transformations of a parabola.
So here is the question.
y = (3 -x)(x +1) is an inverted parabola. Coordinates are (-1,0) and (3,0) for the x-intercepts, and the y intercept is (0,3). Axis of symmetry is (1,0).
The parabola is moved 2 units to the lef... | HuggingFaceTB/finemath | |
Navigate back to the activity.
## Spins Lab 1: Instructor's Guide - 2003 version
### Main Ideas
• Introduce Stern-Gerlach experiments through simulation
• Using statistical analysis to calculate probabilities
• Investigate the effect of making successive quantum measurements
• Gathering evidence for a model of two s... | HuggingFaceTB/finemath | |
# Thread: Total Possible Outcomes Help
1. ## Total Possible Outcomes Help
Hoping someone smarter than me can help me come up with the right answer here.
Setup:
I have a device with eight (8) lights
Each light can light up one of seven (7) colors
When on, each light can flash fast, slow, or solid (3)
Off is also a po... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Subtract 21/12 from 6/2
1st number: 3 0/2, 2nd number: 1 9/12
6/2 - 21/12 is 5/4.
#### Steps for subtracting fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 2 and 12 is 12
Next, find the equivalent fraction of both fractional numbers wi... | HuggingFaceTB/finemath | |
Author: Oscar Cronquist Article last updated on October 21, 2021 The OR function allows you to carry out a logical test in each argument and if at least one argument returns TRUE the OR function returns TRUE.
If all arguments return FALSE the OR function also returns FALSE.
Formula in cell D3:
=OR(B3="Calculator",C3... | HuggingFaceTB/finemath | |
Appendix C. Two-Port Analysis
Figure C.1 depicts a generalized two-port circuit. The conventions for voltage and current preferred by this author are indicated. The figure assumes that both input and output ports share a common reference terminal, which is not strictly required for two-port analysis to work, but since... | HuggingFaceTB/finemath | |
# CMU Randomized Algorithms
Randomized Algorithms, Carnegie Mellon: Spring 2011
## Notes on Lecture 6
1. The Derandomization for Independent Sets
Here’s the derandomization of the probabilistic argument for Turan’s theorem. It’s just a little trickier than I’d figured, but it also leads to a different algorithm! (S... | HuggingFaceTB/finemath | |
# Counting Irreducible Polynomials over Finite Fields Using the Inclusion-Exclusion Principle
```@article{Chebolu2010CountingIP,
title={Counting Irreducible Polynomials over Finite Fields Using the Inclusion-Exclusion Principle},
author={Sunil K. Chebolu and J{\'a}n Min{\'a}c},
journal={Mathematics Magazine},
year={20... | open-web-math/open-web-math | |
# AC Circuit Analysis : Solution Verification
#### salhi
Joined Nov 29, 2023
61
Let the following circuit :
so we have $$I_1 + I_2 + I_3 + \frac{V_x}{0.5 \Omega} = 0 \iff \frac{V_x}{-j \Omega} + \frac{V_x}{(1+j) \Omega} + \frac{V_1}{1 \Omega} + 2V_x = 0 \\$$
and we have : $$-V_1 + 12(0°) + V_x = 0 \iff V_x =V_1 - 12... | HuggingFaceTB/finemath |
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