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# Solved: In each of 7 through 12, a sequence [Uk ]N k=0 is given. Determine the N-point
ISBN: 9781111427412 173
## Solution for problem 14.67 Chapter 14
Advanced Engineering Mathematics | 7th Edition
• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help f... | HuggingFaceTB/finemath | |
1. exponential distrubtion
If the number of minutes that a doctor spends with a patient is a random variable having an exponential distrubtion with the a=9, what are the probabilities that it will take the doctor at least 20 minutes to treat one patient?
2. Hello,
Originally Posted by yuan.69
If the number of minutes... | HuggingFaceTB/finemath | |
November 28, 2022
# How do you make 3/4 teaspoon?
### How do you make 3/4 teaspoon?
There are a few different ways that you can make 3/4 teaspoon, depending on what you have on hand.
One way is to use a measuring spoon that has 3/4 teaspoon as one of its measurements. If you don’t have such a spoon, you can measure... | HuggingFaceTB/finemath | |
3-sphere
In mathematics, a 3-sphere (also called a glome) is a higher-dimensional analogue of a sphere. It consists of the set of points equidistant from a fixed central point in 4-dimensional Euclidean space. Analogous to how an ordinary sphere (or 2-sphere) is a two-dimensional surface that forms the boundary of a b... | HuggingFaceTB/finemath | |
# What does MBH mean boiler?
## What does MBH mean boiler?
Thousand BTUs per Hour (MBH).
### What is MBH vs BTU?
MBH means thousands of BTU per hour; so, 100 MBH is 100,000 BTU’s. BTU is heat energy required to raise one pound of water one degree Fahrenheit. (It’s actually more finicky, but this is close.) MBTU is ... | HuggingFaceTB/finemath | |
(New tips are continually added to these pages. Check back in a few months' time for more)
TOPIC 15: Electric Circuits
Tip 1:
To find the total resistance of several resistors connected in series, simply add up their resistances. This is pretty straight forward, as follows:
RT = R1 + R2 + R3
For resistances i... | HuggingFaceTB/finemath | |
# How to teach polar integrals
Based on Calculus II calendars everywhere, apparently polar area integrals are something we expect freshmen to fully grasp after one single lecture. (Or even less: the one single lecture is often split between polar integrals and polar derivatives.)
The idea behind polar integrals, lead... | HuggingFaceTB/finemath | |
# Find angle between two vectors
The angle between two vectors is referred to as a single point, known as the shortest angle by which we have to move around one of the two given vectors towards the position of co directional with another vector. It is found by using the definition of the dot product of two vectors.
#... | HuggingFaceTB/finemath | |
# Why do we not require physical laws to be invariant under the action of a bigger transformation group?
In Quantum Field Theory, Lagrangians are constructed such that the coordinates on which the quantum fields depend are invariant under action of the Poincare group $\mathbf{P}(1,3):=\mathbf{R}^{(1,3)} \rtimes \mathr... | open-web-math/open-web-math | |
# Recycling
rgoudie
Posers and Puzzles 03 Jun '04 01:55
1. 03 Jun '04 01:55
At the local recycling plant they are very good about using up every bit of scrap. From every seven bottles they can make one new one. How many new bottles can they make after recycling 221 bottles?
-Ray.
2. 03 Jun '04 02:29
I believe the ans... | HuggingFaceTB/finemath | |
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use: Step 1: Choose a point on the line, such as (2, 5). Step 2: Choose another point on the line, such as (1, 3). Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2... | HuggingFaceTB/finemath | |
## Ch3och3 dipole moment
This LED calculator will help you design your LED array and choose the best current limiting resistors values. To get started, input the required fields below and hit the "Design Circuit". If R R is the resistance of a circuit, and V V is the voltage of the circuit, then the following formula ... | HuggingFaceTB/finemath | |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 22 Oct 2019, 15:25
### 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 | |
Transformations Lesson 3
• # Exploring Rotations
Lesson 3 of 4
75-90 minutes
Description
Explore rotations on a coordinate plane where (0,0) is the center; determine general rules for rotations.
Materials
### Introduce
Using the image below, have students “I see, I think, I wonder” about the rotation shown. Hav... | HuggingFaceTB/finemath | |
Category: Linear Algebra
Problem 447
Let $A$ be a square matrix such that
$A^{\trans}A=A,$ where $A^{\trans}$ is the transpose matrix of $A$.
Prove that $A$ is idempotent, that is, $A^2=A$. Also, prove that $A$ is a symmetric matrix.
Problem 442
Consider the following system of linear equations
\begin{align*}
2x+3y... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Working systematically similar to Add 3 Dice:
Filter by: Content type:
Stage:
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### There are 128 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Working systematically
### Advent Calendar 2011 - Secondary
##### Stage: 3, 4 and 5... | HuggingFaceTB/finemath | |
# If the straight line L and the straight line y = 2x + 1 are symmetrical about the Y axis, the analytical formula of the straight line L is
## If the straight line L and the straight line y = 2x + 1 are symmetrical about the Y axis, the analytical formula of the straight line L is
Because of symmetry about the y-ax... | HuggingFaceTB/finemath | |
# Simplification Questions for Bank Exam with Solution
Updated on:
Here, I’m going to explain the most important simplification questions for bank exam with complete solution.
Now, it doesn’t mean that these questions are useful for only bank exams. You can also practice all these questions for any of the competitiv... | HuggingFaceTB/finemath | |
# the price of a cup of coffee has risen to 2.80 today yesterday price was 2.45 find the percentage increase round to the nearest tenth of a percent
2 months ago
## Solution 1
Guest #4006
2 months ago
Percentage increase can be found by the following equation:
(new cost / old cost) - 1 = percentage increase
Plug t... | HuggingFaceTB/finemath | |
# Ordinals as strings of ∅, commas and braces
This week, my colleagues at Igalia were talking about cutting text at a 72-characters limit for word-wrapping emails. One might say that the real question is whether 72 is a cut or a limit. Or wonder how one has decided to set that particular value?
The latter link explai... | HuggingFaceTB/finemath | |
Answer
Comment
Share
Q)
# The probability that a person is not swimmer is 0.3.The probability that out of 5 persons 4 are swimmers is
$\begin{array}{1 1}(A)\;^5C_4(0.7)^4(0.3) & (B)\;^5C_1(0.7)(0.3)^4\\(C)\;^5C_4(0.7)(0.3) & (D)\;(0.7)^4(0.3)\end{array}$
## 1 Answer Comment
A)
Toolbox:
• A random variable $X$ takin... | HuggingFaceTB/finemath | |
# An Introduction to arithmetic Progression Definition-formulas ## An Introduction to arithmetic progression: Definition, formulas, Applications, and Calculations:
In mathematics, arithmetic progression is a fundamental concept that is frequently used in algebra and number theory to deal with the study of relationship... | HuggingFaceTB/finemath | |
Swift’s generic functions allow us to explore a beautiful idea that straddles the line between mathematics and computer science. If you write down and implement a function using only generic data types, there is a corresponding mathematical theorem that you have proven true. There are a lot of pieces to that statement,... | open-web-math/open-web-math | |
# Attractive fixed-point?
I'm sorry in advance for how specific this problem is. I've been trying to make it as generic as possible but this is as far as I could get. I want to prove that a fixed point is attractive.
I didn't find much on Google about proving the attractiveness of a fixed point, but if there is a gen... | HuggingFaceTB/finemath | |
# Plane Geometry: With Problems and Applications
Allyn and Bacon, 1918 - Geometry, Plane - 310 pages
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### Contents
INDE... | HuggingFaceTB/finemath | |
# Math
posted by .
A terminating decimal ends after a certain finite number of decinal places, and does not have to be rounded off. An example would be 378 = 0.875
Your selfterminating decimal fractions are: 2/5, 1/25, and 7/8
So how would I form a conjecture of the terminating decimals?
• Math -
Try to factorize... | HuggingFaceTB/finemath | |
# Question #36044
Oct 16, 2016
The alkane is $C {H}_{4}$
#### Explanation:
General equation for combustion reaction of an alkane.
${C}_{x} {H}_{y} \left(g\right) + \left(x + \frac{y}{4}\right) {O}_{2} \to x C {O}_{2} \left(g\right) + \frac{y}{2} {H}_{2} O \left(g\right)$
By the condition of the question
$1 + x +... | HuggingFaceTB/finemath | |
# Primary ideals and localization of prime ideals
#### Peter
##### Well-known member
MHB Site Helper
I am reading Dummit and Foote Section 15.4 Localization.
Exercise 11 on page 727 reads as follows:
-------------------------------------------------------------------------------
Let $$\displaystyle R_P$$ be the lo... | HuggingFaceTB/finemath | |
# Benefits to Writing Algebra Equations in Standard Form With a Tutor in Torrance
Learning how to graph linear equations is a big part of Algebra, and unfortunately, not all tests will allow your student help from a graphing calculator. Good news, an A Plus In Home Algebra Tutor in Torrance can teach you super simple ... | HuggingFaceTB/finemath | |
# Elasticity (Microeconomics) Calculator
LAST UPDATE: September 24th, 2020
## Definition – What is elasticity?
In economics, elasticity is the measurement of how much one thing (such as quantity) changes when another thing (such as price) changes.
## Formula – How to calculate elasticity
Elasticity = % Change in Q... | HuggingFaceTB/finemath | |
# Evaluate the following integral∫(cos2x)^3/2 .cosx dxintegral limit is from 0 to pi/4
Saurabh Koranglekar
5 years ago
Prakhar Agarwal
26 Points
3 years ago
∫cosx.(cos2x)3/2dx=∫(1-sin2x)3/2cosxdx
Limits --> 0 to π/4
Put u=sinx,
=∫(1-2u2)3/2du
Limits --> 0 to 1/√2
Put u=sint/√2,
=1/√2∫cost(1-sin2t)3/2dt
Limits --> 0 to... | HuggingFaceTB/finemath | |
# Sequences and Series Help
1. Apr 24, 2007
### dtl42
This was the extra credit question on a quiz I had today, I am very anxious to find out the answer.
1. The problem statement, all variables and given/known data
Find the apparent Nth term of the sequence
2,-5,10,-17 ...... n
2. Relevant equations
Not sure rea... | HuggingFaceTB/finemath | |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# Parallel and Skew Lines
## Lines that never intersect.
Levels are CK-12's student achievement levels.
Basic Students matched to this level have a partial mastery of prerequisite knowl... | HuggingFaceTB/finemath | |
Simple "real world" l'Hôpital's rule problem?
I am on a team which is writing a set of lecture notes for differential calculus.
I am using a format of "Break ground" which poses a problem, "Dig in" which develops the tools to solve the problem, and "Reinforce" which practices using the tools we just developed.
While... | HuggingFaceTB/finemath | |
Top
# Binary Formula
The Binary system is the number system that contains only 0s and 1s. Hence sometime its called as bits. The weight of each binary bit rely on its relative position within the number.The binary formula to convert decimal to binary is given by
The weight of the nth bit of the number starts from lef... | HuggingFaceTB/finemath | |
###### leetcode 24. Swap Nodes in Pairs
Given a linked list, swap every two adjacent nodes and return its head.
For example,
Given 1->2->3->4, you should return the list as 2->1->4->3.
Your algorithm should use only constant space. You may not modify the values in the list, only nodes itself can be changed.
/**
* D... | HuggingFaceTB/finemath | |
# How to Draw an Engine using Geometrical Shapes
In this article I have mentioned how to draw an Engine in some simple and easy steps by using various geometrical shapes. You can follow the instructions step by step and make it on your own. Observe all the nineteen steps and draw an Engine.
## How to draw a Engine us... | HuggingFaceTB/finemath | |
Suggested languages for you:
Americas
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Q46P
Expert-verified
Found in: Page 1275
### Fundamentals Of Physics
Book edition 10th Edition
Author(s) David Halliday
Pages 1328 pages
ISBN 9781118230718
# Calculate ${\mathbit{d}}{\mathbit{\rho }}{\mathbf{/}}{\mathbit{d}}{\mathbit{T}}$ at room temperature for (a) c... | HuggingFaceTB/finemath | |
2014
11-19
LeetCode-Sudoku Solver[DFS]
Sudoku Solver
Write a program to solve a Sudoku puzzle by filling the empty cells.
Empty cells are indicated by the character '.'.
You may assume that there will be only one unique solution.
A sudoku puzzle...
...and its solution numbers marked in red.
// LeetCode, Sudoku ... | HuggingFaceTB/finemath | |
# Primes congruent to 1 mod 6
I came across a claim that I found interesting, but can't seem to prove for some reason. I have the feeling it should be easy
a prime $p$ can be written in the form $p = a^2 -ab +b^2$ for some $a,b\in\mathbb{Z}$ if and only if $p\equiv 1\bmod{6}$
• The "only if" part is easy; the "if" p... | HuggingFaceTB/finemath | |
# Maths P3 Grade 13 A2
## Overview
The Math Syllabus at GEMS Wesgreen International Secondary School aims to support students to develop their ability to calculate fluently, to reason and solve problems through application of knowledge and transferable skills. Throughout the year we recover and extend objectives as t... | HuggingFaceTB/finemath | |
# Size of Set Equal to 1? $|U \cap \{s,t\}| = 1$
I am not sure what to call this but in the preliminaries for chapter 2 on sets in Alexander Schrijver's Combinatorial Optimization book he states the following:
A set $$U$$ is said to separate $$s$$ and $$t$$ if $$s \neq t$$ and $$|U \cap \{s,t\}| = 1$$
The part I am ... | HuggingFaceTB/finemath | |
# Toronto Math Forum
## MAT244--2019F => MAT244--Test & Quizzes => Quiz-3 => Topic started by: Dang Tongbo on October 13, 2019, 03:07:39 PM
Title: Tut 0301 - Quiz 3
Post by: Dang Tongbo on October 13, 2019, 03:07:39 PM
2y'' + 4y' -4y = 0 , y(0) = 0, y'(0) = 1.
Solution:
2(r^2)+r-4= 0
so, r1 = ((-1)+(33)^(1/2))/4
r2 =... | HuggingFaceTB/finemath | |
+0
# Linear space
0
559
9
+2353
Good morning ,
One of the exercises I encountered is this one;
Let V be the subset of $$\mathbb{R}^4$$ spanned by the vectors
$$v_1 = \begin{pmatrix} 1 \\ -2\\ 0\\ 3 \end{pmatrix}$$
,$$v_2 = \begin{pmatrix} 2 \\ 3 \\ 0 \\ -1 \\ \end{pmatrix}$$
,$$v_3 = \begin{pmatrix} 2 \\ -1 \\ 2 ... | open-web-math/open-web-math | |
# 15. Variance, and t-tests, and ANOVA, oh my!
Statistics – a specialty of mathematics whose basic tenant is ‘Exceptions prove the rule’.
Mr. McGuire: I just want to say one word to you. Just one word.
Benjamin: Yes, sir.
Mr. McGuire: Are you listening?
Benjamin: Yes, I am.
Mr. McGuire: Plastics. Variance.
It’s alw... | HuggingFaceTB/finemath | |
# Thread: New Math (Rated PG)
1. ## New Math (Rated PG)
Warning does contain minor bad words. But Its funny.
This is a strictly mathematical viewpoint...it goes like this:
What Makes 100%? What does it mean to give MORE than 100%? Ever wonder about those people who say they are giving more than 100%? We have all b... | HuggingFaceTB/finemath | |
# Assume two similar antennas for transmitting and receiving. If the operating frequency gets reduced by 3 times then the received power gets _______
+1 vote
in Antennas
Assume two similar antennas for transmitting and receiving. If the operating frequency gets reduced by 3 times then the received power gets _______
... | HuggingFaceTB/finemath | |
3-Commands and Packages - Maple Help
Home : Support : Online Help : Getting Started : Tutorials : 3-Commands and Packages
Part 3: Commands and Packages
Using Top Commands and Packages
Maple has over 4000 commands that provide comprehensive, in-depth coverage of a vast range of mathematical and programming topics.... | HuggingFaceTB/finemath | |
# Show a set is open using open balls
The set is $\{ (x_1 , x_2) : x_1 + x_2 > 0 \}$ I wanted to solve this using open balls, so I said let $y = (y_1, y_2)$ be in the stated set. Then create an open ball $B_r (y)$ around this point with radius $r = \frac {y_1 + y_2}{2}$. (My professor suggested this radius, but I unde... | HuggingFaceTB/finemath | |
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# 一、极限四则运算法则 PowerPoint PPT Presentation
§2 － 4 极限运算法则. 一、极限四则运算法则. 定理 1. 若 lim f ( x )= A , lim g ( x )= B 存在, 则. (1) lim[ f ( x ) g ( x )] =. lim f ( x ) lim g ( x ) =. A B. (2) lim[ f ( x ) g ( x )] =. lim f ( x ) · lim g ( x ) =... | HuggingFaceTB/finemath | |
# Important Questions for CBSE Class 11 Maths Chapter 15 - Statistics
## CBSE Class 11 Maths Chapter-15 Important Questions - Free PDF Download
Free PDF download of Important Questions with solutions for CBSE Class 11 Maths Chapter 15 - Statistics prepared by expert Maths teachers from latest edition of CBSE(NCERT) b... | HuggingFaceTB/finemath | |
# Chapter 3 Vector Spaces - PowerPoint PPT Presentation Download Presentation Chapter 3 Vector Spaces
Chapter 3 Vector Spaces Download Presentation ## Chapter 3 Vector Spaces
- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
##### Presentation Transcript... | HuggingFaceTB/finemath | |
# Which is the value of the sum cos 75 + cos 15?
hala718 | High School Teacher | (Level 1) Educator Emeritus
Posted on
cos75 + cos15 = ?
We know that:
cosx + cosy = 2cos(x+y)/2 * cos(x-y)/2
Then :
cos75+cos15= 2 cos(75+15)/2 * cos(75-15)/2
= 2cos(90/2) * cos(60/2)
= 2cos(45)*cos(30)
= 2(sqrt2)/2) * sqrt(3)/2
... | HuggingFaceTB/finemath | |
Close message Scootle will stop supporting resources that use the Adobe Flash plug-in from 18 Dec 2020. Learning paths that include these resources will have alerts to notify teachers and students that one or more of the resources will be unavailable. Click here for more info.
# Search results
Year level
Resource typ... | HuggingFaceTB/finemath | |
# Thread: Are these lines parallel?
1. ## Are these lines parallel?
1.) y=1/6x+8
-2x+12y =-11
2.)y = 5x + 6
-18x + 3y = –54
Could someone show me how to do these problems? I keep asking people t oshow me how, but none of them do. They just tell me the answer, I want to know how to do the problems step by step, beca... | HuggingFaceTB/finemath | |
# Homework Help: Unit vectors for ellipse
1. Jul 9, 2009
### psid
1. The problem statement, all variables and given/known data
Find the tangential and normal unit vectors for an ellipse with major axis of length a in the x-direction and minor axis of length b in the y-direction.
2. Relevant equations
For a circle... | HuggingFaceTB/finemath | |
# Definitions of Symmetry in Mathematics
Becoming in a position to spot this is extremely helpful. This reading is designed to help you develop your intuitive comprehension of symmetry into the foundation for those tests for symmetry that we use on equations. Composition series For any group, it’s easy to get a compos... | HuggingFaceTB/finemath | |
# How To Calculate A Series Circuit
By | July 29, 2022
Calculating a series circuit is an important process for electrical engineers, technicians, and hobbyists alike. It can be used to determine the total resistance, current, and voltage of a given electrical system. Knowing how to calculate a series circuit correct... | HuggingFaceTB/finemath | |
## Duration of a trajectory
Suppose we launch an object straight up. We wish to find how long it will take to return. Suppose we launch it up at a speed $v_0$. It is well known that the classical escape velocity is given by $v_e=\sqrt{\frac{2MG}{R}}$ By examining the energy equation, we find that the speed when the ob... | HuggingFaceTB/finemath | |
## Thursday, May 14, 2009
### 15
15 = 3 x 5.
15 is a triangular number, the sum of the first five positive integers: 1 + 2 + 3 + 4 + 5 = 15.
7 can be partitioned in
15 ways.
A three-by-three
magic square has the magic constant 15 (the sum of each row, column, or diagonal).
For
n greater than 15, at least one numb... | HuggingFaceTB/finemath | |
Index ← Previous Next →
## Translations
Ἐὰν δύο ἀριθμοὶ πολλαπλασιάσαντες ἀλλήλους ποιῶσί τινας, οἱ γενόμενοι ἐξ αὐτῶν ἴσοι ἀλλήλοις ἔσονται. Ἔστωσαν δύο ἀριθμοὶ οἱ Α, Β, καὶ ὁ μὲν Α τὸν Β πολλαπλασιάσας τὸν Γ ποιείτω, ὁ δὲ Β τὸν Α πολλαπλασιάσας τὸν Δ ποιείτω: λέγω, ὅτι ἴσος ἐστὶν ὁ Γ τῷ Δ. Ἐπεὶ γὰρ ὁ Α τὸν Β πολλαπ... | HuggingFaceTB/finemath | |
mersenneforum.org Matching problem
User Name Remember Me? Password
Register FAQ Search Today's Posts Mark Forums Read
2021-06-02, 12:44 #1 henryzz Just call me Henry "David" Sep 2007 Cambridge (GMT/BST) 10111000101102 Posts Matching problem Suppose you have n letters and n addressed envelopes that you need to m... | HuggingFaceTB/finemath | |
1. ## HELPfocus of parabola!!
could someone please walk through the steps of solving this problem....?
find the focus of the conic section y=-3x^2-12x-5
2. Hello, emetty90!
Find the focus of the parabola: .$\displaystyle y\:=\:-3x^2-12x-5$
We must get the equation into the form: .$\displaystyle (x-h)^2 \:=\:4p(y-k... | HuggingFaceTB/finemath | |
Finding most efficient route (distance/number of nodes) that uses nodes at least X amount away from another node
I'm trying to find the "looped" route with the lowest value of D/n, where D=Distance, and n=Number_of_points, for a cloud of 3D points. However there are a few conditions.
Conditions:
Each point must have... | HuggingFaceTB/finemath | |
## Precalculus (6th Edition) Blitzer
$417.4\ ft$ and $398.2\ ft$
Step 1. Draw a diagram as shown in the figure. Step 2. For the left triangle, we have the angle $B=90^\circ+7^\circ=97^\circ$ Step 3. Using the Law of Cosines, we have $b^2=(400)^2+(80)^2-2(400)(80)cos97^\circ\approx174,200$ Thus $b\approx417.4\ ft$ Step... | HuggingFaceTB/finemath | |
# Rothstein Betting System
## Introduction
The Rothstein is a betting system closely related to the Martingale. The difference is with the Rothstein, the player increases his bets more aggressively, ensuring one unit of profit for every bet made, as long as he doesn't go broke. This is unlike the Martingale, where th... | HuggingFaceTB/finemath | |
# Factors of 871: Prime Factorization, Methods, and Examples
The factors of a given number are those integers that when divided by that number give a zero remainder. the integers can be both positive and negative.
 871 has a total of 4 factors. Details are provided in the article.
### Factors of 871
Here are the... | HuggingFaceTB/finemath | |
## Re: Conics
Expand Messages
• yeah ^_^||| coz i havta prep for public exam, argh... anyway, glad that u remember me and is still around w/ slim. btw, i havta wear mask during all my
Message 1 of 7 , Apr 30, 2003
yeah ^_^||| coz i havta prep for public exam, argh...
anyway, glad that u remember me and is still aroun... | HuggingFaceTB/finemath | |
## A battery of 9 V is connected in series with resistors of 0.2 Ω, 0.3 Ω, 0.4 Ω , 0.5 Ω and 12 Ω, respectively. How much current would flow through the 12 Ω resistor? 1. Class 10
2. Chapter 12 Class 10 - Electricity
3. NCERT Questions
Transcript
NCERT Question 9 A battery of 9 V is connected in series with resist... | HuggingFaceTB/finemath | |
## Five Points in a Square
There are 5 points in a square 1×1. Show that 2 of the points are within distance 0.75.
Split the unit square into 4 small squares with side lengths 0.5. At least one of these squares will contain 2 of the points. Since the diagonals of the small squares have lengths less than 0.75, these 2... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Addition & subtraction similar to No Square Sums:
Filter by: Content type:
Stage:
Challenge level:
### Constellation Sudoku
##### Stage: 4 and 5 Challenge Level:
Special clue numbers related to the difference between numbers in two adjacent cells and values of the stars... | HuggingFaceTB/finemath | |
Question # Solve the equation for this circle in StandardThe form:x^{2} - 16x + y^{2} - 10y + 73 = 0Enter radicals such as sqrt{15} as "sqrt{15}"instead of using rational exponents.
ANSWERED Solve the equation for this circle in Standard
The form:
$$x^{2}\ -\ 16x\ +\ y^{2}\ -\ 10y\ +\ 73 = 0$$
Enter radicals such as $... | HuggingFaceTB/finemath | |
# Finding the temperature driven center point drift of a spherical probe
March 25, 2014
For this theoretical experiment, I find the deviation of the center point of a spherical probe by adding conductive heat through hand contact. If you want to perform this test, you will require an infrared thermometer to monitor t... | HuggingFaceTB/finemath | |
# How Does a Force Affect Spring Length Between Two Equal Mass Blocks?
• Jorgen1224
In summary: I thought something about centre of mass, but it's not a very highly developed idea, i don't even know how to describe it.
Jorgen1224
## Homework Statement
[/B]
There are two blocks that have equal mass m, they are connec... | HuggingFaceTB/finemath | |
# 4th Grade Math Skills Assessment
Hello Teachers,
School has started, and we are getting to know our students. Are you wondering about the skills your 4th-grade students have? Here’s a rubric with 10 areas that teachers can use to quickly assess 4th Grade Math Skills Assessment.
Note: For each area, you can use a s... | HuggingFaceTB/finemath | |
# Ray reflection inside the cube
Here's a seemingly interesting puzzle that i currently can't solve. Any ideas are highly appreciated. I was told that it's a middle school level problem but it's definitely not the simple one. At least for me :)
There's a unit cube and from one of its vertices we emit a ray of light. ... | HuggingFaceTB/finemath | |
# Multivariate/multidimensional residues
My very specific question:
Given $(z_1,z_2) \in \mathbb{C}^2$ and $$I = \frac{1}{z_1 z_2 +1}$$
a) Where are the poles of $I$?
b) What are the residues of $I$?
Note: $z_1$ and $z_2$ are not in the same complex plane, this is a question about $\mathbb{C}^2$.
• What are the b... | HuggingFaceTB/finemath | |
# Foren
ZUR TESLA-COMMUNITY
Whats it cost to fill a Model S 85 "tank" and what is the MPGe?
I'm trying to calculate for a Model S P85 the MPG equivalent (MPGe), the cost per mile of driving and how much it costs to fill the battery 100%. The goal here is to compare it to the cost using gas.
My calculations are like... | HuggingFaceTB/finemath | |
# Counting and Reading the Hour in Cuneiform Digits
Learn to count and calculate like the ancient Babylonians
## Breve descrizione
In this activity children learn in a playful manner to write the western numeral system in cuneiform and to carry out some additions. Also they are invited to read the hours of a clock a... | HuggingFaceTB/finemath | |
# L'Hopital's Rule, Factorials, and Derivatives
I have the following limit $\displaystyle\lim_{n\to\infty}\frac{e^n}{n!}$. Now if I try to solve this using this using L'hopital's rule, I won't be able to since I can't take the derivative of $n!$.
My question is why can't I take the derivative? Generally speaking, why... | HuggingFaceTB/finemath | |
# How much is 10000 talents worth?
Would you like to merge this question into it?
#### already exists as an alternate of this question.
Would you like to make it the primary and merge this question into it?
#### exists and is an alternate of .
Jewish answer: It depends on whether it's a talent of gold, a talent of... | HuggingFaceTB/finemath | |
##### #10 5.04 Precalculus questions
Mathematics Tutor: None Selected Time limit: 1 Day
May 15th, 2015
sine, sin(x+y) = sin(x)cos(y) + cos(x)sin(y).
With x=135 and y=30,
we have $\sin(165) = {\sqrt{2} \over 2}{\sqrt{3} \over 2} +{\sqrt{2} \over 2}{1 \over 2} = {\sqrt{6} + \sqrt{2} \over 4}$
Along the same lines,... | HuggingFaceTB/finemath | |
# Tag Info
51
You can make arbitrarily large sets of dice with this property. Start with Efron's dice: A: 4, 4, 4, 4, 0, 0 B: 3, 3, 3, 3, 3, 3 C: 6, 6, 2, 2, 2, 2 D: 5, 5, 5, 1, 1, 1 A beats B, B beats C, C beats D, and D beats A with probability $\frac{2}{3}>60\%$. Now add many copies of die B, each using a differen... | HuggingFaceTB/finemath | |
The OEIS is supported by the many generous donors to the OEIS Foundation.
Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A180921 a(n) is the square root of the sum of the cubes of the b(n) consecutive integers starting from b(n), where b(n) = A180920. 2
1, 2079, 7876385, 30254180671, 11623612... | HuggingFaceTB/finemath | |
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Boxes and Rat
Question
Mr.X has five boxes arranged in a line (1-2-3-4-5). An intelligent rat comes out of nowhere and finds a place for itself in one of the boxes. Every night when Mr. X is sleeping, this rat moves to a new neighboring box to its left or to its right. Mr. X knew this behavior of the... | HuggingFaceTB/finemath | |
# What will be the Ratio of Their Ages After 5 years? If
The average age of a mother and daughter is 21 years. The ratio of their respective age is 5:1. What will be the ratio of their ages after 5 years?
1. 10:3
2. 5:2
3. 4:1
4. 3:1
Monis Rasool Professor Asked on 8th June 2015 in
Explanation:-
The average age of ... | HuggingFaceTB/finemath | |
# Maths Paper 1 QP 2020
##### Citation preview
Cambridge Primary Checkpoint
MATHEMATICS
0845/01
Paper 1
April 2020 45 minutes
You must answer on the question paper. You will need:
Protractor Tracing paper (optional)
INSTRUCTIONS Answer all questions. Use a black or dark blue pen. You may use ... | HuggingFaceTB/finemath | |
# Examples of poor review audits
Since threads about review audits seem to be turning up fairly frequently now, it seemed like a good idea to open a thread to collect examples of those audits where people failed but feel like they should not have.
This serves both the purpose of getting at least a small idea of the s... | open-web-math/open-web-math | |
## Content
### The central limit theorem
We have already described two important properties of the distribution of the sample mean $$\bar{X}$$ that are true for any value of the sample size $$n$$. These two properties are that $$\mathrm{E}(\bar{X}) = \mu$$ and $$\mathrm{var}(\bar{X}) = \dfrac{\sigma^2}{n}$$.
There i... | HuggingFaceTB/finemath | |
# Understanding the countable ordinals up to $\epsilon_{0}$
in a recent MO question, link, discussing the current foundations of mathematics, the author linked a video lecture by Prof. Voevodsky, which argues against the principle of $\epsilon_{0}$-induction used in Gentzen's proof of the consistency of PA.
In discus... | HuggingFaceTB/finemath | |
Transforming Poisson
Let $N, Y_n,n\in\mathbb{N}$ be independent random variables, with $N \sim P(\lambda), \lambda \lt \infty$ and $\mathbb{P}(Y_n = j)=p_j$, for $j=1,\dots,k$ and all $n$. Set $$N_j = \sum_{n=1}^{N}\mathbb{1}(Y_n=j).$$ Show that $N_1,\dots,N_k$ are independent random variables with $N_j \sim P(\lambda... | HuggingFaceTB/finemath | |
# Vocab Flashcards Preview
## Algebra1 Vocab > Vocab > Flashcards
Flashcards in Vocab Deck (31)
1
Q
Cubed Root
A
The number that multiplies itself 3 times in order to create a cubic value.
2
Q
Absolute Value
A
Distance away from zero on the number line.
“6” is 6 away from zero,
and “−6” is also 6 away from ze... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Subtract 5/9 from 12/10
1st number: 1 2/10, 2nd number: 5/9
12/10 - 5/9 is 29/45.
#### Steps for subtracting fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 10 and 9 is 90
Next, find the equivalent fraction of both fractional numbers wi... | HuggingFaceTB/finemath | |
# Rotation
## Moment of inertia
Consider a rigid body that rotates about a given axis with an angular velocity of ω. It can be shown that:
τ = I . α
where:
τ : Torque (couple) (Nm)
I : Moment of inertia (kg . m2)
α : Angular acceleration (rad / s2)
The moment of inertia I depends on the shape of the object and i... | HuggingFaceTB/finemath | |
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Post subject: Problem with the formal definition of territory in AGA rule. #1 Posted: Fri Feb 12, 2016 11:31 am
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# Unit 3 Linear Functions and Patterns
## Presentation on theme: "Unit 3 Linear Functions and Patterns"— Presentation transcript:
Unit 3 Linear Functions and Patterns
Big Idea: Linear Functions and Patterns Objective: The student will learn how to interpret graphs Common Core Mathematics Standard 2
Interpret graphs... | HuggingFaceTB/finemath | |
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# Instructions - Part 11
In this section, you'll be entering the objective data about your solutions. Your objective data will include your: Questions, Information, Tasks, and Goals.
As you will no doubt notice, this section is a mirror image of an earlier section - 'Analyze Objective Data about y... | HuggingFaceTB/finemath | |
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Question
# The solution set of the inequality √6−x(5x2−7.2x+3.9−25√2)≥0 can be given by (−a,bc), then c - b =
Open in App
Solution
## xϵ(−∞,15) First of all we must have 6−x≥0 ∴x≤6 Also 5x2−7.2x+3.9−5212≥0 ⇒x2−7210x+3910≥52i.e.,2510 ⇒5x2−36x+7≥0⇒(x... | HuggingFaceTB/finemath | |
# initial algebra and free monoid
I am missing something to prove that the initial algebra $A^*=\mu x. Fx$ of the functor $FX=I+A \otimes X$ is the free monoid in a monoidal category.
Here's one start Summing up I can build 2 arrows in blue like so then by going through the $-\otimes A \dashv -^A$ adjunction I get a... | HuggingFaceTB/finemath | |
A New Perspective on Stochastic Local Search and the Lovasz Local Lemma
We present a new perspective on the analysis of stochastic local search algorithms, via linear algebra, and use it to establish a new criterion for their convergence. Our criterion captures and unifies the analysis of all currently known LLL-inspi... | open-web-math/open-web-math |
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