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## Cryptology ePrint Archive: Report 2011/437
Approximate common divisors via lattices
Abstract: We analyze the multivariate generalization of Howgrave-Graham's algorithm for the approximate common divisor problem. In the $m$-variable case with modulus $N$ and approximate common divisor of size $N^\beta$, this improv... | open-web-math/open-web-math | |
# Answers
Solutions by everydaycalculation.com
## Add 50/16 and 2/75
1st number: 3 2/16, 2nd number: 2/75
50/16 + 2/75 is 1891/600.
#### Steps for adding fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 16 and 75 is 1200
2. For the 1st fraction, since 16 × 75 = 1200,
50/16 = 5... | HuggingFaceTB/finemath | |
# Polynomials
• An expression of the form p(x) = a0 + a1x + a2x2 + a3x3 + ... + anxn , where p(x), is called a polynomial in x of degree n.
Here, a0, a1, a2, a3, ... a are real numbers and each power of x is a non-negative integer.
• The exponent of the highest degree term in a polynomial is known as its degree.
• A... | HuggingFaceTB/finemath | |
# One sample z test for the mean - overview
This page offers structured overviews of one or more selected methods. Add additional methods for comparisons by clicking on the dropdown button in the right-hand column. To practice with a specific method click the button at the bottom row of the table
One sample $z$ test ... | HuggingFaceTB/finemath | |
# Helical Spring Calculations
#### Step 1.) Enter your helical spring's dimensions
When working on a spring design, the first thing you must do is measure your spring’s surroundings to make sure that your spring will fit correctly when being installed. If it is going over a shaft, make sure you have a few thousandths... | HuggingFaceTB/finemath | |
# Linear programming
What is linear programming?
Linear programming is a mathematical method used to find the best possible outcome or solution from a given set of parameters or a list of requirements represented in terms of linear relationships. It is most commonly used in computer modeling or simulation to find the ... | HuggingFaceTB/finemath | |
## 49433
49,433 (forty-nine thousand four hundred thirty-three) is an odd five-digits prime number following 49432 and preceding 49434. In scientific notation, it is written as 4.9433 × 104. The sum of its digits is 23. It has a total of 1 prime factor and 2 positive divisors. There are 49,432 positive integers (up to... | HuggingFaceTB/finemath | |
ATMS 317 Homework { HW1 HW2 HW3 HW4 Final} (return to main page)
HOMEWORK STYLE GUIDE:
MAKE A SKETCH OF THE PROBLEM SET UP WHENEVER POSSIBLE!
Homework problems are intended to help you master the course material. You are strongly encouraged to work with others, but make your submitted homework a unique expression of y... | HuggingFaceTB/finemath | |
# Pi = 4. Discuss.
This topic is 2134 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.
## Recommended Posts
Quote:
Original post by BitMaster
Quote:
Original post by HodgmanI'm assuming that "1/inf" is the smallest value that is still greater than zero.
Such a va... | HuggingFaceTB/finemath | |
# If the Difference of Mode and Median of a Data is 24, Then the Difference of Median and Mean is - Mathematics
MCQ
If the difference of mode and median of a data is 24, then the difference of median and mean is
• 12
• 24
• 8
• 36
#### Solution
Given: Mode − Median = 24
We know that
Mode = 3Median − 2Mean
No... | HuggingFaceTB/finemath | |
### The Maxima on-line user's manual
Algebra Calculator
#### Determinant
Function: determinant (<M>) Computes the determinant of <M> by a method similar to Gaussian elimination.
The form of the result depends upon the setting of the switch `ratmx`.
There is a special routine for computing sparse determinants which... | HuggingFaceTB/finemath | |
1. Trigonometry problem.
The top of the tree, is broken and the broken part bends in such a way that its top makes an angel of $\displaystyle 30^o$ with the ground.The distance of the point at which the top of broken tree touches the ground from the root of the tree is 40 meter.Find the height of the tree.
Plz solve ... | HuggingFaceTB/finemath | |
# Quick Answer: What Is Law Of Friction?
## Which is the law of friction answer?
First law of friction: The amount of friction is proportional to the normal force exerted between the surfaces.
Second law of friction: Friction does not depend on the area of contact between the object and the surface.
Third law of fr... | HuggingFaceTB/finemath | |
Introduction to splines (Oct 9 lecture) - course notes and homework due Oct 16 before class
This week we talked briefly about perspective and then we spent most of the lecture on the wonderful world of splines.
Perspective:
To do perspective, let's assume that you've done all the transformations that make your camer... | HuggingFaceTB/finemath | |
# You have 6 marbles: 1 red, 2 blue, 1 black, 2 yellow. Draw out 1 blue, do not replace it, then draw out a second marble. What's the probability it will be blue? Express as a fraction.
2
by mcartwright
2014-02-01T15:14:03-05:00
### This Is a Certified Answer
Certified answers contain reliable, trustworthy informat... | HuggingFaceTB/finemath | |
## Greatest Common Divisors; Euclidean Algorithm.
### January 5, 2013
Recently, I’ve been learning to program in a new language and have been doing Project Euler problems for practice — of course, as the name suggests, most of these problems deal explicitly with problems which must be solved (efficiently) with mathem... | HuggingFaceTB/finemath | |
# Ex. 6.6 Q8 Triangles Solution - NCERT Maths Class 10
Go back to 'Ex.6.6'
## Question
In Fig. below, two chords $$AB$$ and $$CD$$ of a circle intersect each other at the point $$P$$ (when produced) outside the circle.
Prove that:
(i) $$\Delta {\text{ }}PAC{\text{ }}\text{~}{\text{ }}\Delta {\text{ }}PDB$$
(ii) ... | HuggingFaceTB/finemath | |
# How do you solve the equation abs(x+a)=b?
Aug 24, 2017
See a solution process below:
#### Explanation:
Assuming solving the equation for $x$:
The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its ne... | HuggingFaceTB/finemath | |
# Check whether a binary tree is a complete tree or not | Set 2 (Recursive Solution)
A complete binary tree is a binary tree whose all levels except the last level are completely filled and all the leaves in the last level are all to the left side. More information about complete binary trees can be found here.
Examp... | HuggingFaceTB/finemath | |
# 8.7.1: Interfacial Instability
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\new... | HuggingFaceTB/finemath | |
Basic Statistics for Trading Strategies (Part 1) - Historical Data Analysis This series of posts is to get our readers to start using statistics and data analysis while trading. This post tries to answer the basic question: “how do you analyze stock’s historical data and use it for strategy building?” In this post, we ... | HuggingFaceTB/finemath | |
H2(g) + CO2(g)<-> H20(g) + CO(g)
When H2(g) is mixed with CO2(g) at 2,000K, equilibrium is achieved according to the equation above. In one experiment, the following equilibrium concentrations were measured:
[H2]=0.20 M
[CO2]=0.30 M
[H2O]=[CO]=0.55M
a) What is the mole fraction of CO(g) in the equilibrium mixture?
b)Us... | HuggingFaceTB/finemath | |
# Algebra 1 : How to subtract integers
## Example Questions
1 2 3 5 Next →
### Example Question #68 : Real Numbers
Subtract the numbers:
Explanation:
Subtract the ones digits.
Subtract the tens digits.
Borrow a one from the thousands place in order to subtract the hundreds digits. The thousands digit will beco... | HuggingFaceTB/finemath | |
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# Johnson’s algorithm for All-pairs shortest paths
• Difficulty Level : Hard
• Last Updated : 22 Mar, 2023
The problem is to find the shortest paths between every pair of vertices in a given weighted directed Graph and weights may be negative. We have discussed Floyd Warshall Algorithm for this p... | HuggingFaceTB/finemath | |
# A Three Group Split
### Solution
Let's represent the three group split by three numbers "###," each standing for the amount of even numbers in a group. The order of the groups is of no consequence. $000$ is the starting configuration. There are nine open slots to place the first even number in. However it is done, ... | HuggingFaceTB/finemath | |
# Unit 8 Homework 4 Trigonometric Ratios and Finding Missing Sides
Trigonometry is an important mathematical concept that is used to study relationships between angles and sides of triangles. In Unit 8 Homework 4 of a trigonometry class, students are required to solve for a missing side or angle of a triangle, given t... | HuggingFaceTB/finemath | |
main-content
This book constitutes the proceedings of the Third International Conference on Smart Grid and Innovative Frontiers in Telecommunications, SmartGIFT, held in Auckland, New Zealand, in April 2018. The 28 revised full papers presented were carefully reviewed and selected from 44 submissions. They focus on sm... | open-web-math/open-web-math | |
# 16214 (number)
16,214 (sixteen thousand two hundred fourteen) is an even five-digits composite number following 16213 and preceding 16215. In scientific notation, it is written as 1.6214 × 104. The sum of its digits is 14. It has a total of 4 prime factors and 12 positive divisors. There are 7,260 positive integers ... | HuggingFaceTB/finemath | |
AtCoder Beginner Contest 129 — Unofficial English Editorial
Revision en1, by WaterColor2037, 2019-06-09 21:07:45
Hello Codeforces! Did you enjoy the AtCoder Beginner Contest 129? As usual, there was only Japanese editorial published, so I translated it into English again.
Disclaimer. Note that this is an unofficial ... | open-web-math/open-web-math | |
## Thursday, November 15, 2012
### Bouncy, Trouncy,Flouncy, Pouncy…
By Emily Fennell
In “The Wonderful Thing About Tiggers” song, Tigger tells Winnie the Pooh that his “bottom is made out of springs.” If we look at Tigger’s tail bouncing, we can determine its spring coefficient.
If we model Tigger from a real tiger... | HuggingFaceTB/finemath | |
# Set Theory, Calendars, Clocks and Binomial Theorem
You are here: Home CAT Questionbank CAT Quant Set Theory Question 18
## Sets and Unions
In its annual fest, a college is organizing three events: B-quiz, Finance & Marketing. The college has a strength of 510 students.The students were allowed to participate ... | HuggingFaceTB/finemath | |
# All Questions
2 views
### Given state cannot be written as a linear combination of pure states
Ok. This is just a numerical example to be better understood. If I am given a state let's say (1,1,0) of a H matrix let say ((3.2.0),(2,0,0),(0,0,1)), since the initial state cannot be written as a ...
7 views
### Kinem... | open-web-math/open-web-math | |
## Tuesday, 29 March 2011
### To AV or not to AV
Never having voted for anyone who then got elected, I have always been attracted to the alternative vote (AV) system. At least with AV, people like me would have the chance to vote for our second choice, so there is a greater possibility of us actually having a vote th... | HuggingFaceTB/finemath | |
Latest Banking jobs »
# Reasoning Ability Quiz For SIDBI GRADE A 2023- 12th January
Direction (1-3): Study the information carefully and answer the questions accordingly.
Point A is 6m west of point B. Point B is 10m north of point C. Point D is 5m south of point E and 12m west of point C. Point E is 6m west of poi... | HuggingFaceTB/finemath | |
# Oregon - Grade 1 - Math - Measurement and Data - Interpreting Data - 1.MD.4
### Description
Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another.
... | HuggingFaceTB/finemath | |
Logical Counterfactuals Consistent Under Self-Modification
discussion post by Abram Demski 1316 days ago | Jessica Taylor and Nate Soares like this | 2 comments
I argue that the correct notion of logical counterfactual is the one which an agent would self-modify to have if the agent lacked it, and that this significan... | open-web-math/open-web-math | |
# Important Questions for Class 11 Chapter 2 - Relations and Functions
Our team of experienced subject experts have ensured to provide complete step-by-step solutions to help you deal with any question. You can download freely and use the class 11th Important Questions for doing homework, learning concepts or preparin... | HuggingFaceTB/finemath | |
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$$\require{cancel}$$
# 4.3: The Ellipsoid
• • Contributed by Jeremy Tatum
• Emeritus Professor (Physics & Astronomy) at University of Victoria
Consider the Equation
$\frac{x^2}{a^2} + \frac{z^2}{c^2} = 1, \label{4.3.1} \tag{4.3.1}$
with $$a > c$$, in the $$xz$$-plane. The length of the semi ma... | HuggingFaceTB/finemath | |
The Fibonacci Betting Strategy: Optimizing Roulette Wins - CasinoBabes
# The Fibonacci Betting Strategy: Optimizing Roulette Wins
The Fibonacci Betting Strategy: Optimizing Roulette Wins | CasinoBabes.net
# The Fibonacci Betting Strategy: Optimizing Roulette Wins
Written by Walter Hemphill, Editor at CasinoBabes.... | HuggingFaceTB/finemath | |
# Analytical Studies: Methods and ReferencesHiring and Layoff Rates by Economic Region of Residence: Data Quality, Concepts and MethodsAnalytical Studies: Methods and ReferencesHiring and Layoff Rates by Economic Region of Residence: Data Quality, Concepts and Methods
By René Morissette, Wen Ci, and Grant Schellenberg... | open-web-math/open-web-math | |
# How does one find pairs of integers $U,K_1 \geq 1$ that satisfy $9U=9K_1 + 4 K_1^2$?
I wanted to find pair of (integers) numbers (actually just 3 of them) such that:
$$9U=9K_1 + 4 K_1^2$$
I've tried choosing a fixed integer starting at 1 for U and then had mathematica/wolfram find $K_1$. So far I've tried up to 6 ... | HuggingFaceTB/finemath | |
# Graphical Analysis and Interpretation
Looking at raw data consisting of mind-boggling numbers will surely give a headache to anyone.
For this reason, people who constantly organize and arrange data create visual representations called graphs to summarize them.
Graphs are indispensable tools for those who generate ... | HuggingFaceTB/finemath | |
# A few simple exercies I need someone to explain to me how to do them.
• Jun 22nd 2012, 12:49 AM
RoseEsque
A few simple exercies I need someone to explain to me how to do them.
Hello, I want to learn DM by myself, and asked a university prof. (different faculty) to give me a few exercises to solve.
Can You point me ... | HuggingFaceTB/finemath | |
• ## Top Posts
quadratic equation c… on Modeling Data With Quadratic… Lemuel on Quadratic Functions and Their… Arizona Bayfield on How To Simplify Rational … Suemac on Proving Lines Parallel with Tr… Mr. Pi on Subsets of Real Numbers
## Solving Systems of Equations with Substitution
There are two ways to solve a sy... | HuggingFaceTB/finemath | |
## Saturday, 18 May 2013
### Lagrange's Theory of Finite Groups and the Euler-Fermat Theorem.
In my Group Theory post, I stated that once a Set of mathematical elements and a mathematical operation have been proven to satisfy some basic properties, all theories, proofs and facts from the mathematical discipline of Gr... | HuggingFaceTB/finemath | |
# Generalization of the Lefschetz fixed point theorem
I have encountered a certain generalization of the Lefschetz fixed point theorem as folklore, and I am hoping that someone out there knows its provenance or can otherwise refer me to a source where it is discussed or proved. The statement of the theorem should look... | open-web-math/open-web-math | |
# GRE Geometry | Three – Dimensional Figures
An object which has only height and length are called 2-dimensional figures while an abject which has height length and width are called 3-dimensional object.
Examples of 2-D figures:
Examples of 3-dimensional figures:
1. Cube: In a cube length breadth and height are all... | HuggingFaceTB/finemath | |
### LeetCode Solution - Problem Palindrome Number
• Given an integer x, return true if x is a palindrome, and false otherwise.
Example 1:
``````Input: x = 121
Output: true
Explanation: 121 reads as 121 from left to right and from right to left.
``````
Example 2:
``````Input: x = -121
Output: false
Explanation: From ... | HuggingFaceTB/finemath | |
# Tolerance interval
Not to be confused with Engineering tolerance.
A tolerance interval is a statistical interval within which, with some confidence level, a specified proportion of a sampled population falls. "More specifically, a 100×p%/100×(1−α) tolerance interval provides limits within which at least a certain pr... | HuggingFaceTB/finemath | |
# Effect of orifice diameter on force of water jet
#### daniels77
Just realised I posted this in the high school section. (While the question is quite basic, I thought due to the practical application, it might be better here)
I am working on a job in wastewater treatment which involves rotary arms which distributes... | HuggingFaceTB/finemath | |
# Find the missing sequence
What's the logic behind the patterns and can someone please mention some sources where I can practice such similar problems? Thanks
• Check other puzzles here on site, searching for ‘sequence’ for example. You might like questions like: puzzling.stackexchange.com/q/5588/5840. ( But do your... | HuggingFaceTB/finemath | |
1 / 28
# 2-6 - PowerPoint PPT Presentation
Rates, Ratios, and Proportions. 2-6. Holt Algebra 1. Warm Up. Lesson Presentation. Lesson Quiz. Warm Up Solve each equation. Check your answer. 1. 6 x = 36 2. 3. 5 m = 18 4. 5. 8 y =18.4 Multiply. 6. 7. 6. 48. 3.6. –63. 2.3. 7. 10. Objectives.
I am the owner, or an agent au... | HuggingFaceTB/finemath | |
# Mastering Residual Plots: Evaluating Linear Regression Models in Python
## Creating a Residual Plot in Python
Have you ever heard of a residual plot? It may not be a term that’s familiar to everyone, but it’s a tool that statisticians and data scientists often use to evaluate the performance of their linear regress... | HuggingFaceTB/finemath | |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 05 Dec 2019, 07:20
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customize... | HuggingFaceTB/finemath | |
# Eigenvalues of a $12 \times 12$ Jacobian matrix
Consider the set of coordinates $$X_{i, j}^{(\ell)}$$ and $$Y_{i, j}^{(\ell)}$$, where $$i \in (1, 2, 3), j \in (1, 2, 3)$$ and $$i \neq j$$ and $$\ell = \pm 1$$. The superscipt $$(\ell)$$ is an index. Consider the change of variables from $$\mathbf{X}$$ to $$\mathbf{Y... | open-web-math/open-web-math | |
20 May, 16:56
# 3. In a physics lab, 0.500-kg cart (Cart A) moving rightward with a speed of 100 m/s collides with a 1.50-kg cart (Cart B) moving leftward with a speed of 20 m/s. The two carts stick together and move as a single object after the collision. Determine the post-collision speed of the two carts.
+1
1. 20... | HuggingFaceTB/finemath | |
# 4.5.3. More about Decimal Numbers
Complete the following: fifty-four hundredths .
• A0.54
• B540
• C
0.054
• D5.4
### Example
Complete the following: fifty-four hundredths .
### Solution
10 hundredths = 1 tenth, so fifty hundredths = 5 tenths.
Therefore,
0
correct
0
incorrect
0
skipped | HuggingFaceTB/finemath | |
EASEL BY TPT
Total:
\$0.00
# Pi Day Scavenger Hunt Activity
6th - 8th, Homeschool
Subjects
Resource Type
Formats Included
• PDF
Pages
6 pages
#### Also included in
1. Pi day is a perfect opportunity to teach your students all about the irrational number. This mega bundle includes easy to implement activities that ... | HuggingFaceTB/finemath | |
# Math Tools and Calculators
Here are some really useful applications to speed your way to that all-important solution.
## Numbers
Enter two numbers, and see not only the percentages, but how they are calculated.
Convert between Binary, Decimal and Hexadecimal. Can handle fractions and negatives.
Want to know if a n... | HuggingFaceTB/finemath | |
# Question: How To Find X In Math?
## What is the value of x in math?
The letter ” x ” is often used in algebra to mean a value that is not yet known. It is called a “variable” or sometimes an “unknown”. In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn’t have to be ” x “, it co... | HuggingFaceTB/finemath | |
# How do you differentiate y=5e^x?
##### 1 Answer
Nov 1, 2016
$\frac{\mathrm{dy}}{\mathrm{dx}} = 5 {e}^{x}$
#### Explanation:
You should know that the exponential function ,${e}^{x}$ where $e$ is Euler's Number (2.7182 ...), is the only function that remains unchanged when differentiated.
i.e $\frac{d}{\mathrm{dx}... | HuggingFaceTB/finemath | |
maths > exponents
Arithmetics of Logarithms
what you'll learn...
overview
Arithmetics with logarithms, without evaluating the logarithm, is explained. For example ${\mathrm{log}}_{a}{b}^{m}=m{\mathrm{log}}_{a}b$${\log}_{a} {b}^{m} = m {\log}_{a} b$.
The list of formulas are derived using the first principles of lo... | HuggingFaceTB/finemath | |
# cells in mixed connection
#### flippineck
Sep 8, 2013
358
Can anyone explain the voltage arising from a mix of batteries. for example, see sketch
#### Attachments
• hmm.jpg
12.3 KB · Views: 125
#### davenn
Moderator
Sep 5, 2009
14,264
Paralleling uneven voltages is never a good plan
The higher voltage is going ... | HuggingFaceTB/finemath | |
# Pop Video: Limits, L’Hopital’s rule, and epsilon delta definitions
Grant Sanderson • 3Blue1Brown • Boclips
Limits, L’Hopital’s rule, and epsilon delta definitions
17:33
### Video Transcript
The last several videos have been about the idea of a derivative. And before moving on to integrals, I wanna take some time... | HuggingFaceTB/finemath | |
Class Notes (839,147)
United States (325,796)
Physics (56)
PH 122 (46)
Lecture
# Current and resistance, sources of potential, energy and power
4 Pages
70 Views
Department
Physics
Course Code
PH 122
Professor
Brian Jones
This preview shows page 1. Sign up to view the full 4 pages of the document.
Description
10 Feb... | HuggingFaceTB/finemath | |
# SOPC014 Editorial
Author: Shriram Chandran
Editorialist: Shriram Chandran
Easy
Math.
# PROBLEM:
Given an input N find a maximal cardinal set of lattice points in the square formed between (0,0), (0,N), (N,0) and (N,N) such that the Manhattan distance between any two of them is at least N.
# EXPLANATION:
Let u... | HuggingFaceTB/finemath | |
-2x/3 . square root of 1/12x
2. Originally Posted by Horizont
-2x/3 . square root of 1/12x
$-\dfrac{2x}3 \cdot \sqrt{\dfrac1{12x}}=-\dfrac{2x}{3 \cdot \sqrt{4 \cdot 3x}} = -\dfrac{2x}{3 \cdot2 \cdot \sqrt{3x}}=-\dfrac{x}{3\sqrt{3} \cdot \sqrt{x}} = -\dfrac{\sqrt{x} \cdot \sqrt{x}}{3\sqrt{3} \cdot \sqrt{x}}$
$-\dfrac... | HuggingFaceTB/finemath | |
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# Math Gr4 Ch11
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Find the Pair with Given Sum in a Matrix using C++
In this article, we will discuss the program of finding a pair with a given sum in a given matrix. For example −
Input : matrix[n][m] = {
{ 4, 6, 4, 65 },
{ 56, 1, 12, 32 },
{ 4, 5, 6, 44 },
{ 13, 9, 11, 25 }
}, SUM = 20
Output : Pair exists.
Explanation : Sum = 20 ... | HuggingFaceTB/finemath | |
Converting input containing special character to float
This is the beginning of my program that calculates simple interest. Interest rate will have the following format : 0.97 , 0.67 , 0.17 etc. They won't be bigger than 1. So if the user enter 9 for the interest, program will convert it to 0.09 (by dividing it by 100... | HuggingFaceTB/finemath | |
×
×
# Solutions for Chapter 9.1: Solving Quadratic Equations ## Full solutions for Discovering Algebra: An Investigative Approach | 2nd Edition
ISBN: 9781559537636 Solutions for Chapter 9.1: Solving Quadratic Equations
Solutions for Chapter 9.1
4 5 0 346 Reviews
20
4
##### ISBN: 9781559537636
Since 12 problems in c... | HuggingFaceTB/finemath | |
# Tip Calculator
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## How much is a 20 percent tip on \$268.83? How to calculate this tip?
Are you looking for the answer to this question: How much is a 20 percent tip on \$268.83? Here is the answer.
Let's ... | HuggingFaceTB/finemath | |
# 56789 (number)
56,789 (fifty-six thousand seven hundred eighty-nine) is an odd five-digits composite number following 56788 and preceding 56790. In scientific notation, it is written as 5.6789 × 104. The sum of its digits is 35. It has a total of 2 prime factors and 4 positive divisors. There are 56,160 positive int... | HuggingFaceTB/finemath | |
# Computing the fundamental group
I want to compute the fundamental group of the double Torus using the Seifert-van Kampen theorem so then I choose $U=\text{double Torus} / \{\text{point} =x_1\}$ and $V=D$ the disc.
The thing is that when I want to compute the fundamental group of $U$ I do a deformation retraction of... | HuggingFaceTB/finemath | |
When girlfriend \"simplify\" a square root, friend simply element out all the perfect squares that are factors. For example, to simplify the square root of 75, first I acknowledge that the perfect square 25 goes right into it. For this reason 75 = 25 x 3. Thus the square source of 75 equals the square root of 25 times ... | HuggingFaceTB/finemath | |
# Why does solving $x=1+\sqrt{x}$ give an invalid solution?
I was trying to solve the equation, $x=1+\sqrt{x}$ for real $x$. Though I didn't correctly solve it. I'm curious as to why that is, and what else I need to initially consider in the domain of the function.
I started off by recognising that $x \geq 0$ for the... | HuggingFaceTB/finemath | |
# A solid disk, spinning counter-clockwise, has a mass of 3 kg and a radius of 7/5 m. If a point on the edge of the disk is moving at 4/3 m/s in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?
Dec 4, 2016
The angular momentum is $= \frac{4}{15} k g m {s}^{- 1}$
The ... | HuggingFaceTB/finemath | |
Tuesday
March 31, 2015
# Posts by MathMate
Total # Posts: 11,123
Math
Increase per year = \$900 Target=\$65000 current amount = 3000 Number of years to generate exactly 65000 =(65000-3000)/900 = 68.89 years So minimum number of years to equal or exceed target = 69 years (a little more than "several" years!)
May 14, ... | HuggingFaceTB/finemath | |
• Views : 80k+
• Sol Viewed : 20k+
# Mind Teasers : Tricky Relation Puzzle
Difficulty Popularity
That attorney is my brother, testified the accountant.
But the attorney testified he didn't have a brother.
Who is lying?
Discussion
Suggestions
• Views : 60k+
• Sol Viewed : 20k+
# Mind Teasers : Math Brain Teaser Hi... | HuggingFaceTB/finemath | |
Paul's Online Notes
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You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best views in landscape mod... | HuggingFaceTB/finemath | |
# The Five Important Principles
## Presentation on theme: "The Five Important Principles"— Presentation transcript:
The Five Important Principles
Decimals The Five Important Principles
Principle One Decimals extend the place value system to represent parts of the whole. Write four ones and two tenths as a decimal. 4... | HuggingFaceTB/finemath | |
# question with derivative
• May 2nd 2013, 11:00 AM
orir
question with derivative
f is a differntiable function at [0,1] which maintains 0<=f(x)<=1 to every x[0,1].
i need to prove that there's a point x[0,1] so
f(x)=3x/(sqrt(3x2+6))
• May 2nd 2013, 12:26 PM
dokrbb
Re: question with derivative
Hi there, if I'm not wro... | HuggingFaceTB/finemath | |
#### What is 9810 percent of 5,980?
How much is 9810 percent of 5980? Use the calculator below to calculate a percentage, either as a percentage of a number, such as 9810% of 5980 or the percentage of 2 numbers. Change the numbers to calculate different amounts. Simply type into the input boxes and the answer will upd... | HuggingFaceTB/finemath | |
## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition) Divide both sides of the equation by $12$: $\dfrac{12y}{12}=\dfrac{-360}{12} \\y=-30$ This means that the given equation is equivalent to $y=-30$. Recall that the graph of an equation of the form $y=k$ is a horizontal line whose y-intercept i... | HuggingFaceTB/finemath | |
# Resources tagged with: Multiplication & division
Filter by: Content type:
Age range:
Challenge level:
### There are 52 results
Broad Topics > Calculations and Numerical Methods > Multiplication & division
### Two Many
##### Age 11 to 14Challenge Level
What is the least square number which commences with six two... | HuggingFaceTB/finemath | |
Cutting string with formula or cite
I am trying to define a macro that would take a string and paint its ending, for example:
\def\paintString#1{%
\saveexploremode%
\exploregroups%
\textcolor{white}{\StrGobbleRight{#1}{5}}%
\StrGobbleRight{#1}{2}[\tmp]%
\textcolor{yellow}{\StrRight{\tmp}{3}}%
\textcolor{white}{\StrRi... | open-web-math/open-web-math | |
# Conditional Variance
X is a random variable with mean 100 and standard deviation 30. Y is a random variable with mean of 50 and standard deviation of 25. The correlation between X and Y is 0.5. What is Var(Y|X)?
-
Perhaps you are missing some assumption - eg. X and Y are jointly normal ? Besides, I guess that it's ... | HuggingFaceTB/finemath | |
# task 01 array -- datawhale and Tianchi
Posted by FD_F on Tue, 15 Feb 2022 17:29:43 +0100
# task 01 array - datawhale and Tianchi
## Example analysis
### 1. Sum of two numbers
```class Solution {
public:
vector<int> twoSum(vector<int>& nums, int target) {
int n = nums.size();
for (int i = 0 ; i < n - 1; ++ i)
for... | HuggingFaceTB/finemath | |
### Home > CCA2 > Chapter 10 > Lesson 10.2.1 > Problem10-87
10-87.
Antonio and Luann were trying to explain their strategy for finding the sum of a geometric series to their homework group. They decided to generate a sequence that would be easy to add up so they could convince the other students that their strategy... | HuggingFaceTB/finemath | |
# the set A ∪ B ∪ C . ### Precalculus: Mathematics for Calcu...
6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...
6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
#### Solutions
Chapter 1.1, Problem 42E
(a)
To det... | HuggingFaceTB/finemath | |
Cody
Problem 95. Given two strings, find the maximum overlap
Solution 2668085
Submitted on 8 Jul 2020 at 16:49
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.
Test Suite
Test Status Code Input and Output
1 Fail
s1 = [1 2 3 4 5]; s2 = [5 4 3 2]; s3_corre... | HuggingFaceTB/finemath | |
Exploratory Data Analysis and Regression
This module demonstrates some of the capabilities of R for exploring univariate properties of quantitative variables and relationships among two or more such variables.
Univariate explorations
We begin by examining the Hipparcos dataset found at http://astrostatistics.psu.edu... | HuggingFaceTB/finemath | |
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# Online Algebra Tutoring: Simultaneous Equations 1
## Algebra Worksheets
Math is essential in every walk of life! And no one understands this better than our world-class math tutors, who guide their students towards a better understanding of the new terminologies and ... | HuggingFaceTB/finemath | |
# Integration problems: Intriguing Integrals
BioCore
## Homework Statement
$$\int$$x^3$$\sqrt{}a^2-x^2$$dx
## The Attempt at a Solution
I came this far with my solution:
a^5$$\sqrt{}sin^3\Theta cos^2\Theta$$d$$\Theta$$
a^5$$\sqrt{}sin^3\Theta-sin^5\Theta$$d$$\Theta$$
The answer given to me is:
-1/15(a^2 - x^2)^... | HuggingFaceTB/finemath | |
# Common Core Algebra I Practice and Test Prep
« Back to High School CCSS
With over 160,000 practice questions, you have found the ultimate resource for test preparation and curriculum mastery. Our Common Core Algebra I practice is fully aligned to the current, published standards. Request your free trial and see why ... | HuggingFaceTB/finemath | |
# Prove that $\frac{a-c}{k}=\frac{d+b}{n}$, where $N=a^2+b^2=c^2+d^2$ and $k=\gcd(a-c,d-b)$, $n=\gcd(a+c, d+b)$
Let $$N$$ be odd and $$N = a^2 + b^2 = c^2 + d^2$$, where $$a, b, c, d \in \mathbb{N}$$ and WLOG let $$a, c$$ be odd, $$b, d$$ be even, $$a > c$$, and $$b < d$$. Prove that $$\frac{a-c}{k}=\frac{d+b}{n}$$.
... | HuggingFaceTB/finemath | |
ABCD is a square with sides 8 cm long. Two circles each with radius 8 cm are drawn, one with center A and the other with center C. Find the area of the region inside both circles. geduiwelh 2021-08-01 Answered
ABCD is a square with sides 8 cm long. Two circles each with radius 8 cm are drawn, one with center A and the... | HuggingFaceTB/finemath | |
# AP Statistics Curriculum 2007 Format
(Difference between revisions)
Revision as of 22:16, 14 June 2007 (view source)IvoDinov (Talk | contribs)m ← Older edit Current revision as of 04:58, 24 July 2011 (view source)JayZzz (Talk | contribs) (3 intermediate revisions not shown) Line 1: Line 1: ==[[AP_Statistics_Curricu... | HuggingFaceTB/finemath | |
# The relationship between the force f(t) and the displacement x(t) of a spring-mass system (with a mass M, viscous damping D and spring constant K) is$$M\frac{{{d^2}x\left( t \right)}}{{d{t^2}}} + D\frac{{dx\left( t \right)}}{{dt}} + Kx\left( t \right) = f\left( t \right)$$X(s) and F(s) are the Laplace transforms of ... | HuggingFaceTB/finemath | |
Mark is 4 years older than his sister. What are their ages if after 3 years Mark will be twice her age. We are given that Mark is 4 years older than his sister and after 3 years Mark will be twice her age.
Let Mark be M years old. So as he is 4 years older than his sister, his sister's age is M- 4.
After three years ... | HuggingFaceTB/finemath |
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