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# Problem 11-33 Electric potential - Part 4 - B
The figure shows two parallel, oppositely charged, plates with a potential difference of $6.0\; V$ between them. The plates are separated by $1.1\; cm.$ If we define the potential of the negative plate to be zero,
(a) what is the potential of the positive plate?
(b) wha... | HuggingFaceTB/finemath | |
"Library"
Time Limit: 1000 ms Memory Limit: 65536 KiB
Problem Description
Castaway Robinson Crusoe is living alone on a remote island. One day a ship carrying a royal library has wrecked nearby. Usually Robinson brings any useful stuff from the shipwreck to his island, and this time he has brought a big chest with b... | HuggingFaceTB/finemath | |
Question
# consider the following statements concerning the probabilities of two events, A and B: P(A U B)=...
consider the following statements concerning the probabilities of two events, A and B: P(A U B)= 0.85, P(A/B)= 0.54, P(B)= 0.5 . Determine whether the events A and B are: (a) mutually exclusive, (b) independ... | HuggingFaceTB/finemath | |
# How to Calculate 20 Off of 9500?
20 percent-off 9500 is 7600.00
### Inputs
Original price: \$
Discount percentage: %
Discount: \$
Final Price: \$
## How to Calculate 20 Off of 9500?
You can easily calculate the discount or percent-off, as wel as, the Final Price of a product by following these steps:
1. Multip... | HuggingFaceTB/finemath | |
# How do you factor x^2 + 13x + 36 ?
May 24, 2015
$\left(x + 4\right) \left(x + 9\right) = 0$
Explanation::
$\left(x + 4\right) \left(x + 9\right)$
$x \text{ times } x = {x}^{2}$
$x \left(9\right) + x \left(4\right) = 13 x$
$4 \text{ times } 9 = 36$
= ${x}^{2} + 13 x + 36$
May 24, 2015
${x}^{2} + 13 x + 36 =$ (x ... | HuggingFaceTB/finemath | |
# (1 - 4%) × 182 = ? Number 182 decreased by 4% (4 percent) of its value (percentage decrease) and calculated absolute change (actual difference)
## Latest numbers decreased by percentage of value
182, percentage decreased by 4% (percent) of its value = 174.72 Jun 26 18:12 UTC (GMT) 2,690, percentage decreased by - ... | HuggingFaceTB/finemath | |
You are Here: Home >< Maths
# How is -4 divided by -4 = -8
Announcements Posted on
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1. (Original post by abc:))
Lol I'm being destroyed I really need this explaining to me
Easy target and I'm bored tbh
Posted from TSR ... | HuggingFaceTB/finemath | |
# Non-geometric Proof of Pythagorean Theorem [closed]
Is there a purely algebraic proof for the Pythagorean theorem that doesn't rely on a geometric representation? Just algebra/calculus. I want to TRULY understand the WHY of how it is true. I know it works and I know the geometric proofs.
• Well...what does the theo... | HuggingFaceTB/finemath | |
# How do you find 3.4% of 340 to the nearest tenth?
Dec 10, 2016
11.6 is 3.4% of 340 rounded to the nearest tenth.
#### Explanation:
"Percent" or "%" means "out of 100" or "per 100", Therefore 3.4% can be written as $\frac{3.4}{100}$.
When dealing with percents the word "of" means "times" or "to multiply".
Finall... | HuggingFaceTB/finemath | |
Quandaries and Queries Who is asking: Student Level: Secondary Question: Given that 4x3 - kx is divisible by 2x+1, find the remainder when the expression is divided by 4 - x2. By factor theorem, 4*(-1/2)3 - k*(-1/2)=0 Solving k=1 Unfortunately, I cannot go further. Please help! Hi Raymond, Substitute k = 1 into 4x3 - ... | HuggingFaceTB/finemath | |
# How Many Batteries Weigh 100 Grams? (AA, AAA, AAAA, 9V, Coin)
When we have to measure a weight of a hundred grams, it can get complicated or confusing if you do not have a kitchen scale or digital scale at hand. A hundred grams is a small amount of weight, and is often outside the minimum weight most scales can meas... | HuggingFaceTB/finemath | |
# How do you find the product (4y^2-3)(4y^2+7y+2)?
Mar 12, 2017
See the entire solution process below:
#### Explanation:
To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.
$\left(\textcolor{red}{4 {y}^{2}} - \textcolor{red}{3}\rig... | HuggingFaceTB/finemath | |
You can Download Samacheer Kalvi 9th Maths Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.
## Tamilnadu Samacheer Kalvi 9th Maths Solutions Chapter 5 Coordinate Geometry Ex 5.5
Question 1.
Find the centroid of the triangle whose verti... | HuggingFaceTB/finemath | |
1. ## Trig Integration help
So I've hit a wall, and as with other times I've posted, I'm really only looking for the "kick-off" step for this problem: $\int sin^2 x cos^2 x dx$ I have tried using the fact that the integrand is really a half-angle in disguise, but that leads to: $\int (1/2) sin^2 x dx$ which ... | HuggingFaceTB/finemath | |
Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °
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## #1 2013-02-16 11:11:45
White_Owl
Member
Registered: 2010-03-03
Posts: 106
### integrate (1+2e^x-e^(-x)^(-1)
I have:
using
And now I am stuck.
update: fixed plus signs in th... | HuggingFaceTB/finemath | |
# 4th Class Mathematics Factors and Multiples Multiples and Factors
Multiples and Factors
Category : 4th Class
LEARNING OBJECTIVES
• understand the concept of factors.
• understand the concept of multiples.
• use factor tree to find the factors of a number.
• to find prime numbers, factors and multiples of given nu... | HuggingFaceTB/finemath | |
Take the aid of What is x percent of y calculator an online math device that calculates 30% the 380 easily along with a step by action solution detailing just how the an outcome 114 arrived.
You are watching: 380% of 30 is what number
30 percent *380
= (30/100)*380
= (30*380)/100
= 11400/100 = 114
Now we have: 30... | HuggingFaceTB/finemath | |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 21 Oct 2018, 14:09
### 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 | |
A Planet Whose Distance From The Sun Is 3 Au Would Have An Orbital Period Of How Many Earth-Years?
Contents
A Planet Whose Distance From The Sun Is 3 Au Would Have An Orbital Period Of How Many Earth-years??
Test 1 (part 2)
A planet whose distance from the Sun is 3 A.U. would have an orbital period of how many Earth... | HuggingFaceTB/finemath | |
# Let vector e be a vector perpendicular to
Question:
Let $\overrightarrow{\mathrm{c}}$ be a vector perpendicular to the vectors $\overrightarrow{\mathrm{a}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}-\hat{\mathrm{k}}$ and $\overrightarrow{\mathrm{b}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+\hat{\mathrm{k}}$.
If $\overrightarrow... | HuggingFaceTB/finemath | |
##### How do you multiply matrices?
Algebra Tutor: None Selected Time limit: 1 Day
I am a sophomore in high school and I need help with matrices. The category selection doesn't have geometry, the course I am taking, and I really need help. My teacher didn't explain the material very well, so I am really confused.
... | HuggingFaceTB/finemath | |
UNIT7
# UNIT7 - Unit 7 Partial Derivatives and Optimization We have...
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Unit 7 Partial Derivatives and Optimization We have learned some important applications of the ordinary derivative in Fnding maxima and minima. We now move on to a topic called parti... | HuggingFaceTB/finemath | |
# factors math
posted by .
The gcf(a,b) = 495 and lcm( a,b) =31,185 Find possible values of a and b if a is divisible by 35 and b is divisible by 81.
• factors math -
This is a problem that requires the understanding of the relationship between LCM and GCF.
Take the example of 45 and 63:
45=9*5
63=9*7
GCF=9
LCM=9*5... | HuggingFaceTB/finemath | |
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Bookmark it
{[ promptMessage ]}
ECM5_09WINTER_Quiz#2Soln
# ECM5_09WINTER_Quiz#2Soln - 2 An experiment is conducted in...
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ECM 5 Quiz #2 February 11, 2009 Total Test Time – 20 minutes 1. For a fluid flowing through a packed bed of p... | HuggingFaceTB/finemath | |
# Transformations that preserve distance inequality
I'm just sharing something that caught my attention these days. This question reminded me in turn of an older question, and had me thinking about what kind of transformations preserve distance comparison in Euclidean space, meaning that
$$\lVert u_1-u_2\rVert > \lVe... | HuggingFaceTB/finemath | |
Mathematics
# The value of $\displaystyle \int_{-2\pi}^{5\pi} \cot^{-1}(\tan x) dx$ is equal to:
None of these
##### SOLUTION
Let $\cot^{-1}(\tan x) = \theta$
Then, $\tan x = \cot \theta$
Differentiating,
$\sec^2 x \; dx = -\csc ^2 \theta \; d\theta$
$dx = -\dfrac{\csc ^2 \theta }{\sec^2 x}\; d\theta$
Since
$... | HuggingFaceTB/finemath | |
# Differential Equations. Definition A differential equation is an equation involving derivatives of an unknown function and possibly the function itself.
## Presentation on theme: "Differential Equations. Definition A differential equation is an equation involving derivatives of an unknown function and possibly the f... | HuggingFaceTB/finemath | |
# All Pairs Shortest Paths and Floyd-Warshall Algorithm CLRS 25.2
## Presentation on theme: "All Pairs Shortest Paths and Floyd-Warshall Algorithm CLRS 25.2"— Presentation transcript:
All Pairs Shortest Paths and Floyd-Warshall Algorithm CLRS 25.2
All-pairs shortest paths
Given a weighted directed graph, G(V, E) wi... | HuggingFaceTB/finemath | |
# Specifying Exercise: Chop a Shape Into Simpler Ones
Parent Strategy: Solve a Simpler Problem
Geometry Strategy: Chop a Shape Into Simpler Ones
Slightly More Specific Geometry Strategy – Keep An Eye Out For Simpler Shapes, Especially Right Triangles
Area Version #1: If you’re trying to find the area of a complex f... | HuggingFaceTB/finemath | |
# Integral Transform Method
PDEs can be solved by applying the Laplace or Fourier transform. This reduces the PDE to an ODE that can be solved and then transformed back into a PDE. In this article this Integral Transformation Method is demonstrated at the example of the homogenious Diffusion Equation. \begin{align} \f... | HuggingFaceTB/finemath | |
Mathematically, a ladder operator is defined as an operator which, when applied to a state, creates a new state with a raised or lowered eigenvalue$$^{}$$. Their utility in quantum mechanics follows from their ability to describe the energy spectrum and associated wavefunctions in a more manageable way, without solving... | HuggingFaceTB/finemath | |
◄ ▲ ► A A A SUMMARY RECORDING
MATHJAX
There are several reasons you might be seeing this page. In order to read the online edition of The Feynman Lectures on Physics, javascript must be supported by your browser and enabled. If you have have visited this website previously it's possible you may have a mixture of incom... | open-web-math/open-web-math | |
Class 10 Online Courses
Chapter 5: Class 10 Math Exam Tests
Class 10 Math MCQs - Chapter 5
# Factorization Multiple Choice Questions (MCQ) PDF - 1
Books:
Apps:
The e-Book Factorization Multiple Choice Questions and Answers (MCQs), factorization MCQ Quiz PDF, test 1 to study online class 10 math certificate course... | HuggingFaceTB/finemath | |
# Sangaku - Japanese Temple Mathematics
## Transcription
Sangaku - Japanese Temple Mathematics
```Sangaku - Japanese
Temple
Mathematics
Rosalie Hosking
Department of Mathematics and Statistics
What are Sangaku
• Sangaku are wooden tablets containing mathematics
• Traditionally hung in eaves of Shinto shrines and
Budd... | HuggingFaceTB/finemath | |
# Game Theory - Centipede Game
I am working on a game theory question. The question is as follows:
Characterize the unique subgame-perfect equilibrium in the following game. Can you find any Nash equilibrium which is not subgame perfect? Explain.
First, I will explain how I think this game is to be interpreted. Ther... | HuggingFaceTB/finemath | |
# What is the area of $\triangle ABC$ where $\triangle ADC$ is cyclic, point $P$ is on the circumference and $AD = AP$?
$$\triangle ABC$$ is a right angled triangle. The perpendicular drawn form $$A$$ on $$BC$$ intersects $$BC$$ at point $$D$$. A point $$P$$ is chosen on the circle drawn through the vertices of $$\tri... | open-web-math/open-web-math | |
# 1989 AIME Problems/Problem 11
## Problem
A sample of 121 integers is given, each between 1 and 1000 inclusive, with repetitions allowed. The sample has a unique mode (most frequent value). Let $D$ be the difference between the mode and the arithmetic mean of the sample. What is the largest possible value of $\lfloo... | HuggingFaceTB/finemath | |
Homework Help
# What is the domain of f(x) = 1/-x+3? note: the slash is to make a fraction.
What is the domain of f(x) = 1/-x+3? note: the slash is to make a fraction.
Posted by jackpoos on September 4, 2013 at 11:42 PM via web and tagged with domain, function, math
High School Teacher
(Level 2) Associate Educator... | HuggingFaceTB/finemath | |
: asked on tzartiger12
22.09.2020
# Baseballs pitched by a machine have a horizontal velocity of 30 meters/second. the machine accelerates the baseball from 0 meters/second to 30 meters/second in 0.5 seconds. if a baseball has a mass of 0.15 kilograms, the force the machine exerts is newtons. use f = ma, where a= v-u/... | HuggingFaceTB/finemath | |
# Units - math word problems
#### Number of problems found: 3160
• Hypotenuse - RT
A triangle has a hypotenuse of 55 and an altitude to the hypotenuse of 33. What is the area of the triangle?
• Difference of legs
In a right triangle, the length of the hypotenuse is 65 m, and the difference of legs is 23 m. Calculate ... | HuggingFaceTB/finemath | |
# What are the Most Important Features and Properties of the Rectangular Prism? Features and properties of rectangular prism – In mathematics, there are several kinds of shapes and configurations of objects. Geometry considers being the study of all these kinds of shapes and configurations. The rectangular prism is the... | HuggingFaceTB/finemath | |
GMAT Critical Reasoning vs Data Sufficiency: Two Sides of the Same Coin
Traditional GMAT wisdom suggests that the skills needed for success on the Verbal section overlap little, if at all, with one’s quantitative abilities. Given our educational system and the very fact that the GMAT has separate Quantitative and Verb... | HuggingFaceTB/finemath | |
# Algebraical Problems, Producing Simple and Quadratic Equations, with Their Solutions; Designed as an Introduction to the Higher Branches of Analytics: to which is Added an Appendix, Containing a Collection of Problems on the Nature and Solution of Equations of Higher Dimensions
Whittaker & Company, 1841 - Algebra - ... | HuggingFaceTB/finemath | |
# A cone has a slant height of 34 cm and the radius is 16 cm. What is the exact volume of the cone?
##2560pi## cubic units.
If the cone has a slant height of ##color(orange)(s=34)## and a radius of ##color(red)(r=16)## then its height is (using the Pythagorean Theorem) ##color(white)(“XXX”)color(blue)(h)=sqrt(color(o... | HuggingFaceTB/finemath | |
Search a number
BaseRepresentation
bin100101111011
310022220
4211323
534202
615123
710035
oct4573
93286
102427
111907
1214a3
131149
14c55
15abc
hex97b
2427 has 4 divisors (see below), whose sum is σ = 3240. Its totient is φ = 1616.
The previous prime is 2423. The next prime is 2437. The reversal of 2427 is 7242.
242... | HuggingFaceTB/finemath | |
# Series And Parallel Circuits Worksheet Pdf
File Name: series and parallel circuits worksheet .zip
Size: 2546Kb
Published: 20.05.2021
Circuits Worksheet. Michels, Mr.
Please check back for opening updates. It was previously an event in , , , and , when it was called Shock Value in Division B. NFPA provides a wealth... | HuggingFaceTB/finemath | |
EPI, Geeks
# Description:
Given a sorted array (sorted in non-decreasing order) of positive numbers, find the smallest positive integer value that cannot be represented as sum of elements of any subset of given set. Expected time complexity is O(n).
## Example:
``````Input: arr[] = {1, 3, 6, 10, 11, 15};
Output: 2... | HuggingFaceTB/finemath | |
### MazzForces's blog
By MazzForces, history, 6 years ago,
Hi, good day to U'll.
I have the following equation :
=
Can you help me with a proof for this ? BTW, this relates to the last part of the following problem : Link. The editorial for the problem tells us to convert the lhs to the rhs w/o any proof or explan... | HuggingFaceTB/finemath | |
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int (x dx)/((x-1)(x-2))" equal...
Updated On: 20-06-2022
Get Answer to any question, just click a photo and upload the photo and get the answer completely free,
Text Solution
log|((x-2)^(2))/(x-1)|+Clog |((x-1)/(x-2))^(2)|+Clog |((x-1)/(x+2))^(... | HuggingFaceTB/finemath | |
# Blog
## Magic calculator
By
,
Are you a magician? Or a mathematician! Guess someone’s number with this cool trick.
### What to do
1. Cut out the six rectangles on the magic calculator sheet.
2. Ask your partner to think of a number between 1 and 63.
3. Hand the six rectangles to your partner. Ask them to look f... | HuggingFaceTB/finemath | |
# For civil engineers
M
M
#### man dunga
##### Senior Member
Joined Oct 13, 2013
195 107 60
How to calculate the quantities of ingredients of concrete(i.e cement,sand and aggregate) of known grade
e.g grade c 20 (1:2:4) ,for 1cubic.m of concrete.
Karibu kwa mchango wowote wa ki engineer.
M
M
#### METAL
##### J... | HuggingFaceTB/finemath | |
CMStatistics 2020: Start Registration
View Submission - CMStatistics
B0760
Title: Estimating the number of communities by stepwise goodness-of-fit Authors: Jiashun Jin - Carnegie Mellon University (United States)
Tracy Ke - University of Chicago (United States)
Shengming Luo - Carnegie Mellon University (United States... | open-web-math/open-web-math | |
17 6 -1 ] Solve the system of equations 21 â y +22=4 x + 7y - z = 87, 5x - y - z = 67 by Cramer's rule as well as by matrix method and compare bat results. Proof. 2020-02-13T05:28:51+00:00. The Euler number of a number x means the number of natural numbers which are less than x and are co-prime to x. E.g. respect to ... | open-web-math/open-web-math | |
EGR_102_Lecture_HW_09
# EGR_102_Lecture_HW_09 - ƒ( x ) = 0.95 x 3 – 5.9 x 2 +...
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EGR 102 of 3 pages Lecture HW 09 1 EGR 102 Lecture HW 03 Due at beginning of lecture on Friday, March 25 3 Problems, 18 Points Total Name: PID: Lab Section #: Problem 1 (6 ... | HuggingFaceTB/finemath | |
# Nonlinear Least Squares
Perhaps the best way to estimate a linear model that is autocorrelated is using nonlinear least squares. As it turns out, the nonlinear least squares estimator only requires that the errors be stable (not necessarily stationary). The other methods commonly used make stronger demands on the da... | HuggingFaceTB/finemath | |
Independent Assortment Video Lessons
Concept
# Problem: A violet-flowered, long-stemmed hybrid pea plant was crossed with a true-breeding white-flowered, short-stemmed pea plant with the following offspring: 47 violet, long-stemmed plants; 40 white, long-stemmed plants; 38 violet, short-stemmed plants; and 41 white, ... | HuggingFaceTB/finemath | |
# Logic Notes
Published on the
## Introduction
• A formal logical system consists of a formal language for encoding arguments and a deductive system. Arguments consist of formulae. Arguments usually start with it a set of formulae consist of premises. Arguments seek to prove a formula, called the conclusion.
• The d... | open-web-math/open-web-math | |
# Finding the acceleration of an object
1. The problem statement, all variables and given/known data
In the picture:
http://ift.tt/NgW0t4
There is a force (F) pushing the car to the right
The car’s mass is M
There are two other objects with masses m1 and m2 that are connected by a cord with no mass.
There is no fricti... | HuggingFaceTB/finemath | |
what is the range of values between which the length of the third side can fall
9
15
use triangle inequality the total of two sides must be less thatn the third side so 9, 15 add them we get 24 subtract them we get 6 there is your range
answered Dec 27, 2011 by Level 10 User (55,660 points)
i dont know but if you ... | HuggingFaceTB/finemath | |
Angle Side Angle postulate for proving congruent triangles, Examples, PowerPoints . This Postulate states ..
# Angle Side Angle Postulate
Proving Congruent Triangles With ASA
### Example of Angle Side Angle Proof
$$\triangle ABC \cong \triangle XYZ$$
These two triangles are congruent because two sides and the in... | HuggingFaceTB/finemath | |
# A school needs a talented student (covering the hamming graph H(3,15) with closed balls of radius 5)
Assume a standardized test has $$15$$ multiple choice questions, with $$3$$ options each. A school has some students and wishes for at least one of the students to get $$10$$ correct answers. Since no one in the scho... | HuggingFaceTB/finemath | |
# Question on gcd, is this true?
Let $a,b \in \mathbb{Z^+},\ a<b,\ d=\gcd(a,b)\$ and $\ 1<d<a,\ x=\frac ad,\ y=\frac bd,\ x,y \in \mathbb{Z^+}.$
Suppose $a=a_1+a_2,\ b=b_1+b_2,\ a_1<b_1,\ d_1=\gcd(a_1,b_1)$ and $1<d_1<a_1,$
if $\frac{a_1}{d_1}=x\$ and $\ \frac{b_1}{d_1}=y,\$ then $\ \gcd(a_2,b_2)=d-d_1$.
It seems t... | HuggingFaceTB/finemath | |
Divisors of 19300
Divisors of 19300
The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :
Accordingly:
19300 is multiplo of 1
19300 is multiplo of 2
19300 is multiplo of 4
19300 is multiplo of 5
19300 is multiplo of 10
19300 is multiplo of 20
19300 is multiplo of... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Making and proving conjectures similar to Binomial:
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### There are 44 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Making and proving conjectures
### Janine's Conjecture
##### Age 14 to 16 ... | HuggingFaceTB/finemath | |
# AN N1/L2.4
Evaluate expressions and make substitutions in given formulae in words and symbols to produce results (a) Understand that words and symbols in expressions and formulae represent variable quantities (numbers), not things (i.e. 2a + 2b cannot be explained as 2 apples and 2 bananas) (b) Understand that the c... | HuggingFaceTB/finemath | |
# Proof of Bertrand's postulate
Proof of Bertrand's postulate
In mathematics, Bertrand's postulate (actually a theorem) states that for each "n" ≥ 2 there is a prime "p" such that "n" < "p" < 2"n". It was first proven by Pafnuty Chebyshev, and a short but advanced proof was given by Srinivasa Ramanujan. The gist of... | HuggingFaceTB/finemath | |
Discrete Mathematics with Graph Theory (3rd Edition) 65
# Discrete Mathematics with Graph Theory (3rd Edition) 65 - 9...
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Section 3.2 63 15. (f 0 9 )( x) = I (g (x» = I (x - c). Thus the graph of log is the graph of I, but translated horizontally c units to... | HuggingFaceTB/finemath | |
# How can there ever be an unbalanced force on an object if every action has an equal and opposite reaction?
According to Newton’s 3rd law of movement, requires constantly act in equivalent however opposite sets. Another method of stating this is for every single action, there is an equivalent however opposite respons... | HuggingFaceTB/finemath | |
# Stability Analysis¶
Given a system of first-order differential equations
$\frac{d \mathbf{x}(t)}{dt} = \mathbf{f}(\mathbf x(t)),$
the equilibrium points are determined by $$\frac{d \mathbf{x}(t)}{dt} = 0$$, i.e.,
$\mathbf{f}(\mathbf x(t)) = 0,$
from which we solve the equilibrium point $$\mathbf x(t) = \mathbf x... | HuggingFaceTB/finemath | |
Question Answers
# In $\Delta PQR,PQ=24$cm, $QR=7$cm and $\angle PQR={{90}^{\circ }}$. Find the radius (in cm) of the inscribed circle. Hint: If two tangents are drawn from a point to a circle, then the length of those two tangents from that particular point to the circle will be equal. In this question, $PQ,QR... | HuggingFaceTB/finemath | |
# Resources tagged with: Mathematical reasoning & proof
Filter by: Content type:
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### There are 158 results
Broad Topics > Mathematical Thinking > Mathematical reasoning & proof
### Symmetric Tangles
##### Age 14 to 16
The tangles created by the twists and turns of the Conway rope trick... | HuggingFaceTB/finemath | |
Kathy Williams
2021-12-11
Express as a polynomial. $\left({r}^{2}+8r-2\right)\left({r}^{2}+3r-1\right)$
### Answer & Explanation
Matthew Rodriguez
Step 1
Given expression:
$\left({r}^{2}+8r-2\right)\left({r}^{2}+3r-1\right)$
Step 2
Consider,
$\left({r}^{2}+8r-2\right)\left({r}^{2}+3r-1\right)={r}^{2}\left({r}^{2}+... | HuggingFaceTB/finemath | |
2014-12-19T22:41:40-05:00
If it has a slope of -4, you need to find b.
So you want to plug in your coordinate values for x and y to solve.
5=-4(-1)+b
5=4+b you then subtract 4 from both sides to find the answer for b.
1=b | HuggingFaceTB/finemath | |
# how to calculate cumulative kilometres done with various cut-off points.
This is for a mileage calculation. Essentially, someone claims mileage i.e. Km done. However the rate they are entitled to is dependent on the CUMULATIVE miles they have done. e.g. in Week 2 someone has done 2250 km but because they have alread... | HuggingFaceTB/finemath | |
Pascal’s Triangle: how I love how thee let me count the ways
The Staircase of Mount Meru. Khayyam’s Triangle. Yang Hui’s Triangle. There are many names for Pascal’s Triangle.
I was shown this triangle in school and told we could use it to get combinations and binomial coefficients. I don’t remember being excited at t... | HuggingFaceTB/finemath | |
# Walk or Crawl?
Over the summer, I got to spend a lot of time with my son, Arthur. I enjoyed this immensely, as there is nothing quite like being able to watch your child grow up. Lately, he has been learning to walk and is now able to take several steps at a time. In particular he is at the point where he can wal... | HuggingFaceTB/finemath | |
# Applications of One-Sided Limits
## Determine if a limit exists and, if so, its value.
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A one... | HuggingFaceTB/finemath | |
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# Area of Rectangles
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Area of Rectangles. ... | HuggingFaceTB/finemath | |
LAPACK 3.12.0 LAPACK: Linear Algebra PACKage
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◆ dsysvx()
subroutine dsysvx ( character fact, character uplo, integer n, integer nrhs, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( ldaf, * ) af, integer ldaf, integer, dimension( * ) ipiv, double precision, d... | HuggingFaceTB/finemath | |
## Mixed Fraction Simplifier - simplify the mixed fraction number
### Mixed Fraction Simplifier
#### Result Summary:
Type Result Given Fraction number 0 Simplified Fraction number 0
### What is a mixed Fraction?
A fraction is a number of the form a/b, where b ≠ 0. It represents some part of a whole. Fractions are... | HuggingFaceTB/finemath | |
##### Welcome to Subscribe On Youtube
Formatted question description: https://leetcode.ca/all/841.html
# 841. Keys and Rooms (Medium)
There are N rooms and you start in room 0. Each room has a distinct number in 0, 1, 2, ..., N-1, and each room may have some keys to access the next room.
Formally, each room i has ... | HuggingFaceTB/finemath | |
# proving that a global maximizer does not exist
Show that no matter what the value of $a$ is chosen, the function $f(x_1,x_2)=x_1^3-3ax_1x_2+x_2^3$ has no global maximizers. Determine the nature of the critical points of this function for all values of $a$.
Here $\nabla f=(3x_1^2-3ax_2,-3ax_1+3x_2^2)$
Hessian$(f)=\b... | HuggingFaceTB/finemath | |
# A Can of Volume!
## Cylinders and their circular bases.
Since cylinders have circular bases, they use the equation -Area equals Pi times Radius Sqared. Lets look at the dimensions of the figure: Hight=12 Length (Diameter)=6. Now the equation states radius sqared, the radius times itself. The radius is half the diam... | HuggingFaceTB/finemath | |
# Adult Numeracy, Functional Maths, and GCSE Resources
Displaying 1 - 10 of 36 resources:
## Prevent Duty - Functional Maths & English tasks
A PowerPoint set of L1-L2 reading, maths and writing tasks. All are based on information a recent UK.gov Home Office fact sheet about Prevent and Channel*. The fact sheet can b... | HuggingFaceTB/finemath | |
# Simple Complex Conjugate of exponentials
Often I work with complex exponentials, and I want Mathematica to understand that the conjugate of $e^{iHt}$ is $e^{-iHt}$.
Is there a simple way of doing this? Typically I use the complex-expand function to deal with mathematica not knowing if a variable is real/complex, bu... | HuggingFaceTB/finemath | |
20 terms
# expressions and variables
###### PLAY
Numerial expression
a numerical expression consists of numbers and operations 3+5
Variable
a variable is a letter used to represent one or more numbers. x=6
variable expression
a variable expression consists of numbers, variables, and operations 7+3+4x
Evaluate a varia... | HuggingFaceTB/finemath | |
# Interactive video lesson plan for: Geometry similar triangles | How do you find similar Figures | CBSE Class 10
#### Activity overview:
Geometry similar triangles | How do you find similar Figures | CBSE Class 10
http://www.learncbse.in/ncert-solutions-class-10th-maths-chapter-6-triangles-exercise-6-1-question-1/
h... | HuggingFaceTB/finemath | |
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# Find the number of ‘X’ total shapes
• Last Updated : 21 Feb, 2023
Given a grid of size N * M consisting of O’s and X’s. The task is to find the number of ‘X’ total shapes.
Note: ‘X’ shape consists of one or more adjacents X’s (diagonals not included).
Examples:
Input: grid = {{X, O, X}, {O,... | HuggingFaceTB/finemath | |
# PO D 3 12 24 15 × basic advance d 1818 24÷ 1212. Convert Between Measurement Systems Type of MeasureCustomary Metric Length 1 inch (in.) ≈ 2.54 centimeters.
## Presentation on theme: "PO D 3 12 24 15 × basic advance d 1818 24÷ 1212. Convert Between Measurement Systems Type of MeasureCustomary Metric Length 1... | HuggingFaceTB/finemath | |
# What is the language generated by a given grammar
Given the grammar
$s \to aSb \mid bSb \mid a \mid b$;
what is the language generated by the grammar over the alphabet $\{a,b\}$?
When I was solving this question I was a bit confused about the language generated by this grammar. Would be set of all palindromes? Or w... | open-web-math/open-web-math | |
## Wednesday, April 24, 2013
### 2 Minutes: Final Video
The final draft of Pamela E., Jessica, Carmela and I's 2 Minute video.
## Thursday, April 18, 2013
### Camille Pasco's Math Parent Quiz Post
Ratio Rate Proportion (http://spmath81712.blogspot.ca/2012/10/camilles-proportion-post.html)
Peter runs 200 m in 30s w... | HuggingFaceTB/finemath | |
Problems & Puzzles: Puzzles
Puzzle 46.- Primes expressible as sum of consecutive primes in K ways.
I have found that the prime 34421 is expressible as a sum of consecutive primes in five (5) ways :
34421 = 269 + … + 709 (71 primes)
34421 = 1429 + … + 1571 (23 primes)
34421 = 3793 + … + 3853 (9 primes)
34421 = 4889 ... | HuggingFaceTB/finemath | |
Total:
\$0.00
# Distributive Property - Tangram Puzzles - CCSS:3.OA.B.5.
Subjects
3rd, 4th, 5th, 6th
Resource Types
Common Core Standards
Product Rating
3.8
File Type
PDF (Acrobat) Document File
0.93 MB | 7 pages
### PRODUCT DESCRIPTION
Your students are going to love matching expressions using the Distributive... | HuggingFaceTB/finemath | |
How to Calculate a Building Depreciation Balance Sheet
Share It
Business balance sheets break down the company’s assets and liabilities in a line-by-line fashion. Common assets for many businesses are buildings and equipment. Buildings and equipment deteriorate over time, however, so their value does not remain const... | HuggingFaceTB/finemath | |
# CS723 Assignment 1 Solution and Discussion
• Assignment No. 01
Semester: Spring 2020
CS723: Probability and Stochastic Processes
Total Marks: 50
Due Date:
June 03, 2020
It should be clear that your assignment will not get any credit if:
The assignment is submitted after due date.
The submitted assignment does n... | HuggingFaceTB/finemath | |
# Ratios of Fractions in Lowest Terms
## Theorem
Let $a, b, c, d \in \Z_{>0}$ be positive integers.
Let $\dfrac a b$ be in canonical form.
Let $\dfrac a b = \dfrac c d$.
Then:
$a \divides c$
and:
$b \divides d$
where $\divides$ denotes divisibility.
In the words of Euclid:
The least numbers of those which ha... | HuggingFaceTB/finemath | |
# How to add the Roman numerals: CLXXXIII + LI + CCXI = ? Solve the mathematical operation of addition like the Romans calculated
## The latest operations with Roman numerals (added, subtracted)
CLXXXIII + LI + CCXI = ? Oct 29 22:53 UTC (GMT) CCCXXVII - MCMLXXXVI - DCCXCI + MCCCLX = ? Oct 29 22:53 UTC (GMT) CCCV + C... | HuggingFaceTB/finemath | |
### Home > PC3 > Chapter 4 > Lesson 4.1.1 > Problem4-19
4-19.
Solve the system: \begin{aligned}[t] x^2+y^2=25 \\ xy=12 \end{aligned}
Rewrite the second equation as:
$y=\frac{12}{x}$
Substitute the expression for $y$ from Step 1 into the top equation. | HuggingFaceTB/finemath | |
1. ## Percent Word Problems
We are having trouble understanding the procedures for these problems. Todays problem is:
Night came and the mangroves and palmettos closed in on their victim. If 27 percent were mangroves and 511 were palmettos, how many total shrubs were on the attack?
This is the second time we have run... | HuggingFaceTB/finemath |
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