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### Slack & Surplus Variables Slack & Surplus Variables We employed the graphical method to solve the Lego problem because —apart from it being a two-dimensional problem where coordinate geometry works just fine— graphs facilitate visualization of both problem structure and solution process. We will continue using the ... | HuggingFaceTB/finemath | |
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Question
# Question 4 In the given figure, ABC and ABD are two triangles on the same base AB. If line-segment CD is bisected by AB at O, show that ar(ABC) = ar(ABD).
Open in App
Solution
## Consider ΔACD. Line-segment CD is bisected by AB at O. The... | HuggingFaceTB/finemath | |
# Why is $x^n\approx \left(n(x^{1/4096}-1)+1\right)^{4096}$?
There's an old-school pocket calculator trick to calculate $x^n$ on a pocket calculator, where both, $x$ and $n$ are real numbers. So, things like $\,0.751^{3.2131}$ can be calculated, which is awesome.
This provides endless possibilities, including calcula... | open-web-math/open-web-math | |
Home
What is a die number in maths
Activity: An Experiment with a Die - MAT
The plural is dice, but the singular is die. (i.e. 1 die, 2 dice.) The common die has six faces: We usually call the faces 1, 2, 3, 4, 5 and 6. High, Low, and Most Likel A fair die bearing the numbers 1, 2, 3, 4, 5, and 6 on its faces is thr... | HuggingFaceTB/finemath | |
Free Algebra Tutorials!
Home Systems of Linear Equations and Problem Solving Solving Quadratic Equations Solve Absolute Value Inequalities Solving Quadratic Equations Solving Quadratic Inequalities Solving Systems of Equations Row Reduction Solving Systems of Linear Equations by Graphing Solving Quadratic Equations So... | HuggingFaceTB/finemath | |
# Double Summation (multiplying)
• Feb 28th 2010, 01:21 PM
krazyxazn
Double Summation (multiplying)
http://img202.imageshack.us/img202/8954/capturemu.jpg
Is there some kind of formula/shortcut for solving something like this? I could write it all out, but seems unpractical.
What I'm currently using:
[ 50(50+1)/2 - (... | HuggingFaceTB/finemath | |
English | Español
# Try our Free Online Math Solver! Online Math Solver
Depdendent Variable
Number of equations to solve: 23456789
Equ. #1:
Equ. #2:
Equ. #3:
Equ. #4:
Equ. #5:
Equ. #6:
Equ. #7:
Equ. #8:
Equ. #9:
Solve for:
Dependent Variable
Number of inequalities to solve: 23456789
Ineq. #1... | HuggingFaceTB/finemath | |
## Welcome to the Treehouse Community
The Treehouse Community is a meeting place for developers, designers, and programmers of all backgrounds and skill levels to get support. Collaborate here on code errors or bugs that you need feedback on, or asking for an extra set of eyes on your latest project. Join thousands of... | HuggingFaceTB/finemath | |
Cody
Problem 44300. Matrix Generation from Vector Multiplication
Solution 1426803
Submitted on 28 Jan 2018 by Jihye Sofia Seo
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 Pass
x = [1; 2]; y = [1 2]; out_... | HuggingFaceTB/finemath | |
# Answers
Solutions by everydaycalculation.com
## Multiply 1/3 with 10/9
1st number: 1/3, 2nd number: 1 1/9
This multiplication involving fractions can also be rephrased as "What is 1/3 of 1 1/9?"
1/3 × 10/9 is 10/27.
#### Steps for multiplying fractions
1. Simply multiply the numerators and denominators separat... | HuggingFaceTB/finemath | |
# How do you factor a^3 + b^3?
Feb 19, 2017
$\left(a + b\right) \left({a}^{2} - a b + {b}^{2}\right)$
#### Explanation:
In order to factor ${a}^{3} + {b}^{3}$
we must recognize that ${a}^{3}$ is a perfect cube with a factor of $a$
and ${b}^{3}$ is a perfect cube with a factor of $b$
The factor pattern for a binomi... | HuggingFaceTB/finemath | |
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## MAP Recommended Practice
### Unit 8: Lesson 2
Area and circumference challenge problems
# Imp... | HuggingFaceTB/finemath | |
# What is the input to a trigonometric function? a ratio the x position of a point on the circle a central angle of a circle the y position of a point on the circle
2 months ago
## Solution 1
Guest #3847
2 months ago
Answer: A central angle of a circle
Step-by-step explanation:
The trigonometric functions are als... | HuggingFaceTB/finemath | |
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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A227999 a(n) = (a(n-1) * a(n-5) + a(n-2) * a(n-4) + a(n-3)^2) / a(n-6), a(0) = a(1) = a(2) = a(3) = 1, a(4) = a(5) = 2. 1
1, 1, 1, 1, 2, 2, 5, 11, 25, 97, 220, 1396, 6053, 30467, 249431,... | HuggingFaceTB/finemath | |
# Sunday Function
One of the most important mathematical concepts in physics and pure mathematics is continuity. There's a formal definition for it which for the moment isn't too relevant, but for our purposes we can think of it in terms of smoothness. Put your finger at a point on the graph, and if the function smoot... | HuggingFaceTB/finemath | |
# How to Calculate Standard Deviation in Excel Without Formula: A Guide
Calculating standard deviation in Excel without using a formula might sound tricky, but it’s doable with a few simple steps. We’ll break down the process of calculating standard deviation manually, as well as some tips and common questions.
## Ho... | HuggingFaceTB/finemath | |
# 73 hours and 17 minutes in seconds
## Result
73 hours 17 minutes equals 263820 seconds
## How to convert 73 hours 17 minutes to seconds?
In order to convert 73 hours and 17 minutes to seconds we need to take each part of hours and minutes and transform them into seconds. We know that 1 hour equals 3600 seconds. T... | HuggingFaceTB/finemath | |
# Toronto Math Forum
## MAT334-2018F => MAT334--Tests => Quiz-7 => Topic started by: Victor Ivrii on November 30, 2018, 03:52:38 PM
Title: Q7 TUT 0102
Post by: Victor Ivrii on November 30, 2018, 03:52:38 PM
$\renewcommand{\Re}{\operatorname{Re}} \renewcommand{\Im}{\operatorname{Im}}$
Using argument principle along l... | HuggingFaceTB/finemath | |
# The quadrilateral formed by joining the midpoints of the sides of a quadrilateral ABCD,
Question:
The quadrilateral formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a rhombus, if
(a) ABCD is a Parallelogram
(b) ABCD is rhombus
(c) diagonals of ABCD are equal
(4) diagonals of ... | HuggingFaceTB/finemath | |
# Aptitude - Simplification - Discussion
Discussion Forum : Simplification - General Questions (Q.No. 6)
6.
A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is:
Rs. 120
Rs. 160
Rs. 240
Rs. 300
Explanation:
Let C's share = Rs. x
Then, B's share ... | HuggingFaceTB/finemath | |
Search a number
5111301 = 313131059
BaseRepresentation
bin10011011111111000000101
3100121200101110
4103133320011
52302030201
6301315233
761305516
oct23377005
910550343
105111301
112981218
121865b19
13109c650
14970a0d
156ae6d6
hex4dfe05
5111301 has 8 divisors (see below), whose sum is σ = 7339360. Its totient is φ = 31... | HuggingFaceTB/finemath | |
# Convert 190.5 CM to Inches
## How many inches in a cm?
Do you are looking to convert 190.5 centimeters to a number in inches? first you need to be aware of how many inches 1 cm represents.
Here’s what I can be specific: one centimeter is equal to 0.3937 inches.
## Centimeter Definition
A centimeter is a common u... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Working systematically similar to Chairs and Tables:
Filter by: Content type:
Stage:
Challenge level:
### There are 321 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Working systematically
### Tangram Tangle
##### Stage: 1 Challenge Level:
I... | HuggingFaceTB/finemath | |
Search 73,036 tutors
# Rational Expression and Equations ,COMPLEX RATIONAL EXPRESSION
Simplify the given rational expression. (1) 11 18 1- ---- + ------ x x^2 -------------------- ...
# Complex Fraction
Simplify Complex Fraction (1) 3 2 --- + --- 7 3 ---------- 16 2 --- -... | HuggingFaceTB/finemath | |
# 7th grade math Ms. Sue please
posted by .
1.
Identify the part, whole, and percent in the following statement: Find 15% of 750. (1 point)
part = 750, whole = n, percent = 15
part = 15, whole = 750, percent = p
part = n, whole = 750, percent = 15
none of these
2.
Write a percent equation that can be used to solve ... | HuggingFaceTB/finemath | |
# 5.6: Summary
Let's review what we learned about seismology in this chapter:
## Basics of Wave Propagation
The basic ways we measure waves are through $$\lambda$$ (the wavelength in meters) and $$f$$ (the frequency in Hz). They have the relation to velocty:
$v=f\lambda\;[\frac{m}{s}]$
One category of seismic wave... | HuggingFaceTB/finemath | |
# How to Find Greatest Common Divisor (GCD or HCF)
Here you will learn concept of gcd ot hcf and how to find greatest common divisor or highest common factor of numbers and fractions with examples.
Let’s begin –
## Concept of GCD or HCF
Consider two natural numbers $$n_1$$ and $$n_2$$.
If the numbers $$n_1$$ and $... | HuggingFaceTB/finemath | |
# How to Calculate Slope and Intercepts of a Line
The slope of a line measures how steep the line is. [1] You could also say it is the rise over the run; that is, how much the line rises vertically compared with how much it runs horizontally. Being able to find the slope of a line, or using the slope to find points on... | HuggingFaceTB/finemath | |
Prime Factors of 156
Looking to get a list of the prime factors of 156? In this article we'll give you all of the information you need, including the definition of the prime factors of 156, how to calculate the prime factors of 156 (also known as the prime factorization of 156). As a bonus, we'll also list out the pri... | HuggingFaceTB/finemath | |
Search a number
38504 = 234813
BaseRepresentation
bin1001011001101000
31221211002
421121220
52213004
6454132
7220154
oct113150
957732
1038504
1126a24
121a348
13146ab
1410064
15b61e
hex9668
38504 has 8 divisors (see below), whose sum is σ = 72210. Its totient is φ = 19248.
The previous prime is 38501. The next prime i... | HuggingFaceTB/finemath | |
maths > integers
Predecessor and Successor (Integers)
what you'll learn...
overview
It was earlier studied that the integers are in an ordered sequence. In this page, the following are explained.
• the number preceding in the order is the predecessor of a given number.
• the number following in the order is th... | HuggingFaceTB/finemath | |
# SOLVING SYSTEMS OF LINEAR EQUATIONS. Overview A matrix consists of a rectangular array of elements represented by a single symbol (example: [A]). An individual.
## Presentation on theme: "SOLVING SYSTEMS OF LINEAR EQUATIONS. Overview A matrix consists of a rectangular array of elements represented by a single symbo... | HuggingFaceTB/finemath | |
# 常曲率Randers度量的分类
Theorem 1. 对每个$c\in\R$以及所有的$n\in\Z^+$, 都存在唯一的(只相差一个等距)的单连通的$n$为空间形式, 使得其常截面曲率为$c$.
Proof . c.f. [伍鸿熙1989] P70 Thm1 与 P97 Thm10.
2004年, D, Bao, C, Robles & Z, Shen 证明了关于常旗曲率的Randers度量的分类定理, 证明主要依赖于如下结果:
Theorem 2. Let $F$ be a Randers metric and $(h,v)$ be its navigation representation. Then $F$ ha... | HuggingFaceTB/finemath | |
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Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submiss... | HuggingFaceTB/finemath | |
# Area of a Trapezium- Definition, Formula, Properties, Examples
The trapezium is a quadrilateral that has four sides and one set of parallel sides. The area of trapezium is the region covered by the solid in a two-dimensional plane. Other types of quadrilaterals are parallelogram, rectangle, square, and rhombus. Find... | HuggingFaceTB/finemath | |
# I What is the difference between time, arrival-time, and inter-arrival-time is Poisson process?
#### user366312
Gold Member
Let $(N_t)_t$ be a Poisson process with parameter $λ = 2$. By $τ_k$ denote the time of the $k$-th arrival $(k = 1, 2, . . .)$, and by $ρ_k=τ_k−τ_{k−1}$ − the inter arrival time between the $(k... | HuggingFaceTB/finemath | |
It is currently 25 Sep 2017, 20:59
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
we will pick new questions that match your level based o... | HuggingFaceTB/finemath | |
# Simplification Question Problems Answers Test = 3
Simplification Question Problems Answers Test = 2
## Simplification Problems Test = 3
Congratulations - you have completed Simplification Problems Test = 3. You scored %%SCORE%% out of %%TOTAL%%. Your performance has been rated as %%RATING%%
Question 1
After distr... | HuggingFaceTB/finemath | |
# MATH
posted by .
MAKE R the subject of the formulaq........ I =(mne) devide by (mR+nr)...........Its N2 math can u help?
It's not at all clear to me what your question is, what does this mean?
"MAKE R the subject of the formulaq........"
In this part, are we to take I,m.n.e,R and r as variables?
"I =(mne) devide b... | HuggingFaceTB/finemath | |
• You are on a game show and presented with 3 doors. Behind one is a car and behind the other 2 are goats. You want to choose the door with a car behind it, as if you do so, you win the car. You choose one door. Then, the host opens one of the other doors, which reveals a goat behind it. The host gives you a choic... | HuggingFaceTB/finemath | |
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Dorchester Center, MA 02124
# Odd Even Linked List LeetCode Solution
## Problem – Odd Even Linked List
Given the `head` of a singly linked list, group all the nodes with odd indices together followed by the nodes with even indices, and return the reordered list.
The first node is considered o... | HuggingFaceTB/finemath | |
# 2,753 weeks to months
to
2,753 Weeks = 633.09 Months = 633 Months, 2 Days, 14 Hours and 19 Minutes
# How to Convert 2,753 Weeks to Months
Let's understand how to change 2,753 weeks into months.
## 1. Convert Weeks to Months
To change weeks to months, divide the number of weeks by approximately 4.345 (since ther... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
3/12 + 9/45 is 9/20.
1. Find the least common denominator or LCM of the two denominators:
LCM of 12 and 45 is 180
2. For the 1st fraction, since 12 × 15 = 180,
3/12 = 3 × 15/12 × 15 = 45/180
3. Likewise, for the 2nd fraction, since 45 × 4 = 180,
9/45 = 9 × 4/45 × 4 = 36/180
45/180... | HuggingFaceTB/finemath | |
# Math - Calculus
posted by .
Show that the equation x^3-15x+c=0 has at most one root in the interval [-2,2].
Perhaps Rolle's Theorem, Mean Value Theorem, or Intermediate Value Theorem hold clues? ...Other than simply using my TI-84, I have no idea how to accomplish this.
## Similar Questions
1. ### Math Calculus
... | HuggingFaceTB/finemath | |
# Function (mathematics)
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. The earliest known approach to the notion of function can be traced back to works of Pe... | HuggingFaceTB/finemath | |
Deepak Scored 45->99%ile with Bounce Back Crack Course. You can do it too!
# Prove that:
Question:
Prove that:
$\cos ^{-1} \frac{4}{5}+\sin ^{-1} \frac{3}{5}=\sin ^{-1} \frac{27}{11}$
Solution:
To Prove: $\cos ^{-1} \frac{4}{5}+\sin ^{-1} \frac{3}{5}=\sin ^{-1} \frac{27}{11}$
Formula Used: $\sin ^{-1} x+\sin ^{-... | HuggingFaceTB/finemath | |
Types of Discontinuities
# Types of Discontinuities
We are now going to look at the three main types of discontinuities that can arise in a function. You should be able to distinguish between each type of discontinuity and acknowledge when a function $f$ may contain each type of discontinuity.
## Asymptotic Disconti... | HuggingFaceTB/finemath | |
Home
Previous — 45° system, part two
Next — 90° system
A sixty-degree system.
Version of 8 October 2010.
§11. Single-segment pieces. In this system, all curves are circular and of the same radius, but of a 60° angle rather than 45°. If the radius, R, is 200mm then such a curve fits into a regular hexagon of edge 133.3... | HuggingFaceTB/finemath | |
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## The Dreaded “Work” Problems Revisited: Connections through Problem Solving from Basic Fractions to Calculus
Using a Journal Article as a Professional Development Experience
FoY 2009-2010 Connections
Title: The Dreaded “Work” Problems Revisited: Connections through Problem Solving from Basic Fractions... | HuggingFaceTB/finemath | |
# 40 Percent of 4866 is 1946.40. See the Solution
### Percentage Calculator
What is % of Answer:
### Percentage Calculator 2
is what percent of ? Answer: %
### Percentage Calculator 3
is % of what? Answer:
We think you reached us looking for answers like: What is 40 (40%) percent (%) of 4866 (4866)? Or may be: 4... | HuggingFaceTB/finemath | |
Diameter of a circle in an embedded Riemannian manifold
This question was inspired by an answer to the "Magic trick based on deep mathematics" question. I wanted to post it as a comment, but I ran out of characters! I'm sure there must be a collection of standard results related to this question, but I don't know wher... | HuggingFaceTB/finemath | |
1. ## Partitions proof
Let the number of partitions of n into parts each less than or equal to m be denoted P(n,m). Prove
P(n,m) = P(n, m-1) + P(n-m,m)
2. ## Re: Partitions proof
Let the number of partitions of n into parts each less than or equal to m be denoted P(n,m). Prove
P(n,m) = P(n, m-1) + P(n-m,m)
I have wr... | HuggingFaceTB/finemath | |
# 2nd PUC Physics Previous Year Question Paper June 2017
Students can Download 2nd PUC Physics Previous Year Question Paper June 2017, Karnataka 2nd PUC Physics Model Question Papers with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.
## Karnataka 2n... | open-web-math/open-web-math | |
# Decomposition of $\mathbb{C}[G]$ / Orthogonality relations
I am currently working on Jean-Pierre Serre's "Linear representations" german translation in chapter 6 and I do not understand the last part of the proof of the following theorem.
a) Let $\rho_i : G \longrightarrow GL(V_i)$ for $i = 1,...,n$ be distinct irr... | open-web-math/open-web-math | |
## Aluminum Bass Boats For Sale In Texas
Catalog is experiencing all too start will be a new experience. Minimal effort dmall are agreeing needs to be road- and sea-worthy.
## Class 10th Ncert 2.3 Solution Work,Underwater Lights For Boats 2018,Aluminum Sport Fishing Yachts Option,Small Aluminium Boats For Sale 06 - P... | HuggingFaceTB/finemath | |
# Answers
Solutions by everydaycalculation.com
## Subtract 35/27 from 2/4
1st number: 2/4, 2nd number: 1 8/27
2/4 - 35/27 is -43/54.
#### Steps for subtracting fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 4 and 27 is 108
Next, find the equivalent fraction of both fraction... | HuggingFaceTB/finemath | |
Choosing metric for regression problem RMSE or MAE
I have a regression task where I want to predict no of product sold by manufacturer. My data is time series with each day having a certain no of units sold.
I'm slightly torn as to which metric to use. In the past I must confess I've used RMSE without thinking.
1. R... | HuggingFaceTB/finemath | |
# Search in Rotated Sorted Array II
Follow up for “Search in Rotated Sorted Array”:
What if duplicates are allowed?
Would this affect the run-time complexity? How and why?
Write a function to determine if a given target is in the array.
• A[mid]>A[first],则区间一定递增。
• A[mid] == A[first],什么都确定不了，所以first指针前移一位，越过重复元素。
... | HuggingFaceTB/finemath | |
# Constant Of Proportionality Tables Worksheet
Constant Of Proportionality Tables Worksheet - In a proportional relationship, the constant of proportionality, also known as the unit rate, is the ratio of y to x, and it can be represented by the variable k. Web find the constant of proportionality from the table below.... | HuggingFaceTB/finemath | |
×
×
Solutions for Chapter 1.1: Lines and Linear Equations
Full solutions for Linear Algebra with Applications | 1st Edition
ISBN: 9780716786672
Solutions for Chapter 1.1: Lines and Linear Equations
Solutions for Chapter 1.1
4 5 0 276 Reviews
28
5
ISBN: 9780716786672
This textbook survival guide was created for th... | HuggingFaceTB/finemath | |
Science, Maths & Technology
# How long would it take to colonise the galaxy?
Updated Friday 4th November 2011
With habitable planets so far apart, is it mathematically feasible to believe that humankind could ever spread across the universe?
Our current technology precludes any of us from travelling beyond the Sola... | HuggingFaceTB/finemath | |
# 51149 (number)
51,149 (fifty-one thousand one hundred forty-nine) is an odd five-digits composite number following 51148 and preceding 51150. In scientific notation, it is written as 5.1149 × 104. The sum of its digits is 20. It has a total of 2 prime factors and 4 positive divisors. There are 43,836 positive intege... | HuggingFaceTB/finemath | |
# Why does current increase when motor load increases?
Contents
If the mechanical load increases, the rotor stops a bit (since it’s harder for the rotor to rotate a heavier load), which decreases the counter-EMF. This reduction in the counter-EMF thus increases the current in the coil, and so the power needed from th... | HuggingFaceTB/finemath | |
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.
Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A278332 E.g.f. equals the limit of the average of all permutations of the compositions of the functions x*exp(x^k), for k=1..n, as n in... | HuggingFaceTB/finemath | |
For example, a whole is expressed as 2 halves or 4 fourths. Halves and Fourths DRAFT. Three-fourths divided by two-thirds. First,divide the rectangle into four parts equally,that;s pretty simple. 1. In a rectangle if we divide the rectangle by a line segment horizontally and vertically the ratio of areas of any two adj... | HuggingFaceTB/finemath | |
# Solve $\operatorname{Arg} (z-2) - \operatorname{Arg} (z+2) = \frac{\pi}{6}$
I'm trying to solve $$\operatorname{Arg}(z-2) - \operatorname{Arg}(z+2) = \frac{\pi}{6}$$ for $z \in \mathbb{C}$.
I know that $$\operatorname{Arg} z_1 - \operatorname{Arg} z_2 = \operatorname{Arg} \frac{z_1}{z_2},$$ but that's only valid wh... | HuggingFaceTB/finemath | |
# Magic Cube 4D
MagicCube4D is a fully functional four-dimensional analog of Rubik's cube plus dozens of other beautiful 4D puzzles. The image above shows the 34 puzzle in its solved state.
The program is packaged in an executable jar file which should run on any system with a Java virtual machine installed. Save it ... | HuggingFaceTB/finemath | |
# Continuous function as pointwise limit but not as uniform limit of a sequence of continuous functions on $[0,1]$
I recentaly find an article where it is said that there is a sequence of continuous functions $$\{f_n:[0,1]\rightarrow\Bbb R\}_{n\in \Bbb N}$$ that converges pointqise almost everywhere to zero function ,... | HuggingFaceTB/finemath | |
Tamilnadu State Board New Syllabus Samacheer Kalvi 12th Maths Guide Pdf Chapter 6 Applications of Vector Algebra Ex 6.6 Textbook Questions and Answers, Notes.
## Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 6 Applications of Vector Algebra Ex 6.6
Question 1.
Find a parametric form of vector equation of a pl... | HuggingFaceTB/finemath | |
# Svetlana's hair is 4 centimeters long. Her hair grows 1.5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long. How many months, m, will it take Svetlana's hair to grow so it is at least 7 centimeters long?
## Write an inequality.
Jul 11, 2017
2 months.
#### Explanation... | HuggingFaceTB/finemath | |
Couple
COUPLE
When two equal and opposite parallel non collinear forces act on a body, they form a couple.
Let d is the arm of the couple. F and – F forces can not be combined into a single force (since the sum is zero). The body in which the forces act, will have a tendency of rotation.
The couple moment M about o... | HuggingFaceTB/finemath | |
# How to calculate the winding number?
I've been given the following loop $$\gamma$$, which clearly divides the complex plain into 5 domains. For each of these domains, I have been asked to find the winding number of $$a$$ around $$\gamma$$, where $$a$$ is a point in the domain.
Since I haven't been given any further... | open-web-math/open-web-math | |
# Calendar Questions
Q:
What was the day on 15th august 1947 ?
A) Friday B) Saturday C) Sunday D) Thursday
Explanation:
15 Aug, 1947 = (1946 years + Period from 1.1.1947 to 15.8.1947) Odd days in 1600 years = 0
Odd days in 300 years = 1
46 years = (35 ordinary years + 11 leap years) = (35 x 1 + 11 x 2)= 57 (8 w... | HuggingFaceTB/finemath | |
# Algebra
posted by .
Simplify
5(14-20²/2
• Algebra -
• Algebra -
5 * ( 14 - 20 ) / 2 =
5 * ( - 6 ) / 2 = -30 / 2 = - 15
• Algebra -
I am not sure your superscript shows up on everyone's screen.
5 (14-20)^2 /2
= 5 * 36 /2
= 5 * 18
= 90
• Algebra -
It appears that the 0 was a typo for ), making the problem
... | HuggingFaceTB/finemath | |
5th and 6th Grade, January, 2020
B.1281. In the following addition the same letters mean the same digit, and different letters mean different digits. What are the values of the different letters?
AAA + BBB + CCC = BAAC
B.1282. Kate created a 3×3 grid. She wrote positive whole numbers in its fields so that if you pic... | HuggingFaceTB/finemath | |
# Physics - Speed and Velocity
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## Graphs of Motion (Distance Time Graph)
A graph of motion tells us the distance an object travels and the time it takes to do so. Using this information we can also calculate the speed at which the object was travelling.
The equation we use to do so is:... | HuggingFaceTB/finemath | |
# Thread: Graphing Periods, Asymptotes and End Points
1. ## Graphing Periods, Asymptotes and End Points
So the problem states to graph one complete period for f(x) = tan(3x - pi/2).
So that becomes f(x) = tan 3(x - pi/6).
Period = pi / 3
Phase shift = pi / 6
How do I get the end points / asymptotes? This is a pret... | HuggingFaceTB/finemath | |
# 7064 (number)
7,064 (seven thousand sixty-four) is an even four-digits composite number following 7063 and preceding 7065. In scientific notation, it is written as 7.064 × 103. The sum of its digits is 17. It has a total of 4 prime factors and 8 positive divisors. There are 3,528 positive integers (up to 7064) that ... | HuggingFaceTB/finemath | |
# Let S={1,2,3,4,5,6}. Then the probability that
Question:
Let $S=\{1,2,3,4,5,6\} .$ Then the probability that a randomly chosen onto function g from $S$ to $S$ satisfies $g(3)=2 g(1)$ is :
1. $\frac{1}{10}$
2. $\frac{1}{15}$
3. $\frac{1}{5}$
4. $\frac{1}{30}$
Correct Option: 1
Solution:
$\mathrm{g}(3)=2 \math... | HuggingFaceTB/finemath | |
# Questions on Algebra: Logarithm answered by real tutors!
Algebra -> Algebra -> Logarithm Solvers, Trainers and Word Problems -> Questions on Algebra: Logarithm answered by real tutors! Log On
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solv... | HuggingFaceTB/finemath | |
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# Time Speed Distance 1/2
7. What is the average speed if a person travels from A to B and then B to C at the speeds of 10 km/hr and 20 km/hr, respectively for equal intervals of time?
a. 15 kmph
b. 13.33 kmph
c. 12 kmph
d. 11.11 kmph
8. What is the average speed if a person travels from A to B and back at the... | HuggingFaceTB/finemath | |
Wiesen Test of Mechanical Aptitude (WTMA): How to Prepare, Free Practice Test
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• Mechanical T... | HuggingFaceTB/finemath | |
# Sine and Cosine
## Question
In right triangle ABC, the cosine of angle is 1/2. What is the sine of angle B?
## Solution
The cosine of angle A is the ratio of the length of the side next to angle A (the side that is not the hypotenuse) to the length of the hypotenuse. Using the labelling in the sketch, that’s b/c.... | HuggingFaceTB/finemath | |
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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A179337 Positive integers of the form (6*m^2 + 1)/11. 6
5, 35, 107, 197, 341, 491, 707, 917, 1205, 1475, 1835, 2165, 2597, 2987, 3491, 3941, 4517, 5027, 5675, 6245, 6965, 7595, 8387, 907... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Multiply 49/2 with 8/49
1st number: 24 1/2, 2nd number: 8/49
This multiplication involving fractions can also be rephrased as "What is 49/2 of 8/49?"
49/2 × 8/49 is 4/1.
#### Steps for multiplying fractions
1. Simply multiply the numerators and denominators separately:
2. 4... | HuggingFaceTB/finemath | |
An Introduction to Logistic Regression
Nuts and Bolts
Why use logistic regression? | The linear probability model | The logistic regression model | Interpreting coefficients | Estimation by maximum likelihood | Hypothesis testing | Evaluating the performance of the model
Why use logistic regression?
There are many ... | HuggingFaceTB/finemath | |
If r is the remainder when positive integer n is divided by : DS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack
It is currently 18 Jan 2017, 18:02
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your perform... | HuggingFaceTB/finemath | |
# Division of Complex Numbers
## Theorem
Let $z_1 := a_1 + i b_1$ and $z_2 := a_2 + i b_2$ be complex numbers such that $z_2 \ne 0$.
The operation of division is performed on $z_1$ by $z_2$ as follows:
$\dfrac {z_1} {z_2} = \dfrac {a_1 a_2 + b_1 b_2} {a_2^2 + b_2^2} + i \dfrac {a_2 b_1 - a_1 b_2} {a_2^2 + b_2^2}$
... | HuggingFaceTB/finemath | |
# Object falling down and object falling up
## Homework Statement
A object A falling down at terminal velocity of 20 m/s, at 1000m above the ground another object B fly at it at an initial velocity of 125 m/s.
a) how much time before object A hits object B?
## Homework Equations
X = Xo + Vo(t) + 1/2AT^2
G = 9.8 m... | HuggingFaceTB/finemath | |
## 41246
41,246 (forty-one thousand two hundred forty-six) is an even five-digits composite number following 41245 and preceding 41247. In scientific notation, it is written as 4.1246 × 104. The sum of its digits is 17. It has a total of 3 prime factors and 8 positive divisors. There are 20,080 positive integers (up t... | HuggingFaceTB/finemath | |
# A Rook's Territory in the Chessboard
Shade 32 cells, four on each row and column, of an 8 x 8 blank chessboard (all its cells originally white) so that a rook sitting on any shaded cell can reach any other shaded cell, moving just along other shaded cells.
If not possible, what is the size of the largest square boa... | HuggingFaceTB/finemath | |
# nLab dualizing object
This entry is about a concept of duality in general category theory. For the concept of dualizing objects in a closed category as used in homological algebra and stable homotopy theory see at dualizing object in a closed category.
duality
# Contents
## Idea
A dualizing object is an object $... | open-web-math/open-web-math | |
# FURTHER GRAPHING OF QUADRATIC FUNCTIONS Section 11.6.
## Presentation on theme: "FURTHER GRAPHING OF QUADRATIC FUNCTIONS Section 11.6."— Presentation transcript:
FURTHER GRAPHING OF QUADRATIC FUNCTIONS Section 11.6
Further Graphing of Quadratic Functions Section 11.6 Graph a quadratic equation by plotting points.... | HuggingFaceTB/finemath | |
View the step-by-step solution to:
# H1 (cm) H2 (cm) HV Q (cm3/min) 14.1 1000 D D= 15cM Trial 1 L = ISCM Small Column - Trial 2 13.5 13 0.5 950 sandy sediment Trial 3 17.6 917 D= 23...
Hi there,
I need help calculating my hydraulic conductivity and the base flow from these values. The values needed to calculate the ... | HuggingFaceTB/finemath | |
# Hackerrank: Lucky Number Eight (Dynamic Programming)
Problem statement
Given an n-digit positive integer, count and print the number of subsequences formed by concatenating the given number's digits that are divisible by 8. As the result can be large, print the result modulo 109 + 7.
Input Format
The first line c... | HuggingFaceTB/finemath | |
Created By : Abhinandan Kumar
Reviewed By : Phani Ponnapalli
Last Updated : Mar 21, 2023
Try our Geometric Sequence Calculator to quickly obtain the Sum of n terms of Geometric Sequence a = 1, n = 6, and r =3 i.e. 364.0 in the blink of an eye.
First term [a]:
common ratio[r]:
Total terms[n]:
## Sum of n terms of Geo... | HuggingFaceTB/finemath | |
# 柯西-施瓦茨不等式
(重新導向自 柯西不等式)
## 敘述
${\displaystyle {\big |}\langle x,y\rangle {\big |}^{2}\leq \langle x,x\rangle \cdot \langle y,y\rangle }$
${\displaystyle |\langle x,y\rangle |\leq \|x\|\cdot \|y\|.\,}$
${\displaystyle x_{1},\ldots ,x_{n}\in \mathbb {C} }$${\displaystyle y_{1},\ldots ,y_{n}\in \mathbb {C} }$有虛部，內積... | HuggingFaceTB/finemath | |
A
# electric displacement (D)
Electric displacement (D), also known as electric flux density, is the charge per unit area that would be displaced across a layer of conductor placed across an electric field. This describes also the charge density on an extended surface that could be causing the field.
If we consider ... | HuggingFaceTB/finemath | |
# Why is a 90% confidence interval narrower than a 95% confidence interval?
Nov 3, 2015
See the explanation below.
#### Explanation:
The answer is with particular reference to the Normal distribution.
A test procedure starts with fixing the level of significance at 5% or 10% or 1% and so on.
When we say that level... | HuggingFaceTB/finemath | |
# The Fixed Profit Betting Strategy: Should You Give It a Try? The Calculating Formula
According to the financial ‘Fixed Profit’ betting strategy, players must first determine the amount of profit they want to receive. The amount is calculated with the simple formula:
A = P/(O — 1)
O — the odds for the bet,
P — the... | HuggingFaceTB/finemath |
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