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# Fun 5th Grade Math Activities to Do at Home
In 5th grade, students learn to measure capacity, or volume, and work with fractions. If these concepts are giving your child difficulty, try using the fun activities below to help boost his or her understanding.
Among other skills, your 5th grader will begin learning to ... | HuggingFaceTB/finemath | |
# How to Explain Division to a Third Grader
••• Hemera Technologies/AbleStock.com/Getty Images
Print
After mastering addition and subtraction, third grade students usually begin learning about basic multiplication and division. These math concepts can be difficult to grasp, so use a few different techniques to explai... | HuggingFaceTB/finemath | |
## 551596
551,596 (five hundred fifty-one thousand five hundred ninety-six) is an even six-digits composite number following 551595 and preceding 551597. In scientific notation, it is written as 5.51596 × 105. The sum of its digits is 31. It has a total of 4 prime factors and 12 positive divisors. There are 268,272 po... | HuggingFaceTB/finemath | |
# Thread: Composition of functions
1. ## Composition of functions
Hello, I have trouble proving that "if f o g is injective, then f is injective."
Let g be a function from X to Y and let f be a function from Y to Z.
My attempt to solving it is by contradiction:
Assume that f is not injective, that is, there exists ... | HuggingFaceTB/finemath | |
# PAPER - Editorial
Setter: Hasan
Tester: Teja Vardhan Reddy
Editorialist: Taranpreet Singh
Easy
# PREREQUISITES:
Basic Geometry and Observation.
# PROBLEM:
There is a paper that is folded N times, resulting in the final width of W and height H. Now, there are M points marked on its surface such that it is marked... | HuggingFaceTB/finemath | |
How do I approximate sqrt(128) using a Taylor polynomial centered at 125?
Mar 8, 2015
To approximating $f \left(x\right) = \sqrt{x}$ by a Taylor polynomial centered at $125$ , you'll need to know $\sqrt{125}$.
The Taylor polynomial, of degree $n + 1$, to approximate $f \left(x\right)$ centered at $a$ involves:
$f \... | HuggingFaceTB/finemath | |
SSKA -- Blogmeister
Class of 2012-2013 The students' blogs have been transferred to 8th grade.
by SSKA teacher: Rye 8th Team
Blog Entries
Lines of Nasca photo 02/13/13
Las Líneas de Nasca 02/12/13
Romans vs Germans 05/03/12
Science Valentine 03/16/12
Voki 03/14/12
Roman Journal Project 03/08/12
Battle Of Marathon 11/... | HuggingFaceTB/finemath | |
# PHY138 Mechanics - Class 9 - Wednesday October 11, 2006
## Introduction
"Things should be made as simple as possible, but not any simpler."
-- Einstein
## Today's Class
We finished Chapter 8 and completed Chapter 9 of the textbook except for §9.7 - Angular Momentum. Next class we will pick up this section and th... | HuggingFaceTB/finemath | |
# How is the pressure energy term equal to atmospheric pressure here?
I was looking up at the derivation of Torricelli's law in my textbook:
$$P_a + \frac{1}{2}{\rho}v_1^2 + \rho gy_1=P + \rho gy_2$$
This is the equation representing one of the steps for its derivation. Before I start the main part of my question I ... | HuggingFaceTB/finemath | |
# A certain sum amounts to Rs. 12,705 in $$2\dfrac{1}{2}$$ years at 10% p.a. interest compounded annually. What is the compound interest on the same sum for one year at the same rate, if the interest is compounded half-yearly?
This question was previously asked in
Dehli Police Constable Previous Paper 19 (Held on: 8 D... | HuggingFaceTB/finemath | |
1. ## Help with problem
If g(x)=sin(cos(x^2)), find the equation of the tangent line at the point where x=(squareroot)(Pie/2). Use this linerariztion to approximate g(5/4).
I'm lost with this problem. I new to this sorry if it hard to read. Thanks
2. use the chain rule and set to $\displaystyle \sqrt{\frac{\pi}{2}}$... | HuggingFaceTB/finemath | |
# Calculate the angle of $\theta$ in pythagoreans theorem with different units for the Adjacent and Opposite sides
In the above image I know the value of the adjacent side. It's $$298$$. I know the value of the opposite side it's $$806.8$$. The problem is $$298$$ is in units of 'bars' on a stock chart and the value of... | HuggingFaceTB/finemath | |
# Understanding resolution derivates of a clause $C$ from a set of clauses $\mathcal{C}$.
We know that a resolution derivative of a clause $$C$$ from a set of clauses $$\mathcal{C}$$ is a sequence $$(C_1, ..., C_n)$$, so that:
1. $$C_n = C$$ and
2. for all $$1 \leq i \leq n$$ the following holds: $$C_i \in \mathcal{C... | open-web-math/open-web-math | |
HomeNext »
Descriptive statistics are used to describe the basic features of the data in a study. They provide simple summaries about the sample and the measures. Together with simple graphics analysis, they form the basis of virtually every quantitative analysis of data.
Descriptive statistics are typically distingu... | HuggingFaceTB/finemath | |
2014-12-12T16:58:38-05:00
Yes, If you want a whole number, 2 but if you want a fraction then no it can't be simplified.
Hope it helps! :-)
Thanks I sometimes get mixed up with the 2/1 or 1/2 and stuff like that for whole numbers
okay :), anything that ends with /1 can be simplified to a whole number, 2/1=2, 15/1=15
any... | HuggingFaceTB/finemath | |
# Master C Operator Precedence and Associativity in 2023: Definition, Examples, and Code
Article by: Manish Methani
Last Updated: November 6, 2021 at 2:04pm IST
3 mins 46 sec read
In C programming language, operators are used to perform various operations on data. Operators have different precedence and associativit... | HuggingFaceTB/finemath | |
# Differential Equations - Substitution
Solve the Initial Value Problem:
dy/dx = (3x + 2y)/(3x + 2y + 2) , y(-1) = -1
I need to use substitution and use the formulas:
du/dx = A + B(dy/dx)
dy/dx = (1/B)*(du/dx - A)
Let u = 3x + 2y then du/dx = 3 + 2(dy/dx)
therefore A = 3, B = 2
Pluging it into the formula gives me:... | HuggingFaceTB/finemath | |
# $A^2$ self-adjoint and Compact, prove $A$ has an eigenvalue
Suppose $H$ is a Hilbert space and $A \in L(H)$ is such that $A^2$ is compact and self-adjoint. Prove that $A$ has an eigenvalue.
(Here $L(H)$ is the set of bounded linear operators on a Hilbert space $H$.)
(This proves a bit more than asked: there is no ... | HuggingFaceTB/finemath | |
# Square Root of 798
In this article we're going to calculate the square root of 798 and explore what the square root is and answer some of the common questions you might. We'll also look at the different methods for calculating the square root of 798 (both with and without a computer/calculator).
## Square Root of 7... | HuggingFaceTB/finemath | |
# What is the Greatest Common Factor of 33 and 47?
Greatest common factor (GCF) of 33 and 47 is 1.
GCF(33,47) = 1
We will now calculate the prime factors of 33 and 47, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33 and 47.
GCF Calculat... | HuggingFaceTB/finemath | |
# How To Solve Surds And Indices Questions Quickly
## Solve Surds and Indices Questions Quickly
On this page you will get to know about, how to solve surds and indices quickly and easy using the formulas and rules.
### How to Solve Surds and Indices Ques. Quickly :
• Surds: Number which cannot be expressed in the f... | HuggingFaceTB/finemath | |
# Is the exponential function the sole solution to these equations?
Let us take the exponential function $\lambda^z$ where $0 < \lambda < 1$. There are many great uniqueness conditions this holomorphic function satisfies. For example, it is the only function holomorphic in the right half plane, bounded in the right ha... | HuggingFaceTB/finemath | |
Total de visitas: 24570
Variance In Statistics Pdf Free
Variance In Statistics Pdf Free - http://shurll.com/bkb8o
Variance In Statistics Pdf Free, honda cbr 900 street fighter kaufen oder
The variance of a probability distribution is analogous to the moment of inertia in classical mechanics of a corresponding mass ... | HuggingFaceTB/finemath | |
This 8 grade math book answers provides step-by-step instructions for solving all math problems. We will also look at some example problems and how to approach them.
8 grade math book answers is a mathematical tool that helps to solve math equations. Differential equations are a type of mathematical equation that can ... | HuggingFaceTB/finemath | |
# 99484 (number)
99,484 (ninety-nine thousand four hundred eighty-four) is an even five-digits composite number following 99483 and preceding 99485. In scientific notation, it is written as 9.9484 × 104. The sum of its digits is 34. It has a total of 6 prime factors and 48 positive divisors. There are 34,560 positive ... | HuggingFaceTB/finemath | |
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Bouncy, bouncy
Posted by Chris on May 27, 2012 – 4:54 pm
A ball is dropped from a height of 1 m on to a hard surface. Each time it bounces, the ball loses half of it’s energy. How long does the ball bounce for? Is there a paradox?
This post is under “Fun Physics” and has 9 respond so far.
9 Res... | HuggingFaceTB/finemath | |
##Introduction
Problem. Suppose you are in a room with $n$ lightbulbs and $k$ switches, where $1 \leq n$ and $1 \leq k$. Suppose that any particular switch turns a subset of light bulbs on. Find the minimum number of switches such that flipping them on turns on all of the lights.
If you are familiar with algorithms, ... | HuggingFaceTB/finemath | |
# 2.NBT.A.3 Worksheets
#### CCSS.maths.CONTENT.2.NBT.A.3
:
"Read and write numbers to 1000 using base-ten numerals, number names, and expanded form."
Our Take:Second graders should be learning to represent numbers up to 1000 in a variety of different forms. For example, the student can represent the number 42 using ... | HuggingFaceTB/finemath | |
# Thread: Path Integral
1. ## Path Integral
I'm having some issues with this path integral.
The vector field is F=<x,-y,-z>
The path is defined by c(t)=(sint, cost, t)
and t is from 0 to 3pi/2
How I have it set up, it turns out to be the integral of 2cos(t)sin(t) -t +1 from t=0 to t=3pi/2
because I plugged the c ter... | HuggingFaceTB/finemath | |
# Fundamentals of Thermal-Fluid Sciences with Student Resource CD (3rd Edition) View more editions Solutions for Chapter 19 Problem 96PProblem 96P: Consider a hollow-core printed circuit board 12 cm high and 18 cm long, dissipating a total of 20 W. The width of the air gap in the middle of the PCB is 0.25 cm. The cooli... | HuggingFaceTB/finemath | |
# Absolute Values
## Meaning of Absolute Value in Maths
The absolute value in maths is defined as the value which describes the distance of a number on the number line from 0 without taking into consideration which direction from zero the number lies. The absolute value of a number can never have negative values.
• ... | open-web-math/open-web-math | |
# Create and Interpret Column Graphs I
Lesson
A column graph is a graph used to display data about different groups. There are all different types of groups that can be looked at. For example the number of different types of bugs in a garden, the number of people with certain eye colours in a class or even the flavou... | HuggingFaceTB/finemath | |
How many arrangements?
Given all four digits odd numbers.How many of them have exactly two even numbers?
The sample set is $\{0,1,2,3,4,5,6,7,8,9\}$. To have a odd number, the last digit have to be odd, so there are five possible ways to the last digit. In order to have a four digit number, the first can't be zero. I... | HuggingFaceTB/finemath | |
# How to prove that if $n$ is prime then ${{n}\choose{i}} = 0 \mod{n}$?
Within the proof of the AKS primality test, found here (page 2, Lemma 2.1), the author uses the fact that for prime $n$ we have $${{n}\choose{i}} = 0 \mod{n}$$
This assertion is a major part of the proof, but for some reason has not been proven i... | HuggingFaceTB/finemath | |
Divisors - Maple Help
For the best experience, we recommend viewing online help using Google Chrome or Microsoft Edge.
NumberTheory
Divisors
the set of positive divisors of an integer
Calling Sequence Divisors(n)
Parameters
n - integer
Description
• The Divisors function computes the set of positive divisor... | HuggingFaceTB/finemath | |
# Calculus Explained
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations.
It has two major branches, differentia... | open-web-math/open-web-math | |
## How much soil do I need for my raised bed?
To calculate:
1. Measure the length, width and height of your bed. (Unless the boards are very thick, don’t worry about inside/outside measurements.)
2. Multiply all the measurements together: 6 x 3 x 1.4 = 25.2 cubic feet.
3. Divide the answer by 27 to get the number of ... | HuggingFaceTB/finemath | |
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# Life cycle ship performance assessment (LCPA): A blended formulation between costs and environmental aspects for early design stage
### Background:
In ship design, since the early stage, there is... | open-web-math/open-web-math | |
## Find minimum force to raise wheel
What minimum force F applied horizontally at the axle of the wheel is necessary to raise the wheel of mass M and radius R over a step of height H. A picture for this is at
http://viewmorepics.myspace.com/inde...eID=1460005538
I know that mg is gravity so the force of gravity play... | HuggingFaceTB/finemath | |
The Archimedean Property
# The Archimedean Property
We will now look at a very important property known as the Archimedean property which tells us that for any real number $x$ there exists a natural number $n_x$ that is greater or equal to $x$. This is formalized in the following theorem:
Theorem 1 (The Archimedean... | HuggingFaceTB/finemath | |
## Measuring Segregation
31 Aug
Dissimilarity index is a measure of segregation. It runs as follows:
$\frac{1}{2} \sum\limits_{i=1}^{n} \frac{g_{i1}}{G_1} - \frac{g_{i2}}{G_2}$
where:
$g_{i1}$ is population of $g_1$ in the ith area
$G_{i1}$ is population of $g_1$ in the larger area
from which dissimilarity is being... | open-web-math/open-web-math | |
Module Identifier PH06020 Module Title INTRODUCTION TO MATHEMATICAL METHODS FOR PHYSICISTS I Academic Year 2001/2002 Co-ordinator Coleg Ceredigion Staff Semester Semester 1 Other staff Coleg Ceredigion Staff Pre-Requisite GCSE Mathematics or Equivalent Co-Requisite None Mutually Exclusive Not available to students doin... | HuggingFaceTB/finemath | |
# Toward Explicit Formula from Recursion : Is Generating function "the only" answer?
I am trying to draw the explicit formula of $S_n$ that is defined as below:
$S_n$ is the number of words of length n using 0,1 and 2 such that no two consecutive 0's occur.
Myself, as I had learned from the basic skills in combinato... | HuggingFaceTB/finemath | |
## Determining length of highway deceleration ramp, with friction
1. The problem statement, all variables and given/known data
"At the base of a hill (blah blah) there is a ramp inclined with an angle of 30 degrees and has a surface with a coefficient of friction of 1.5. How long should this ramp be to be able to stop... | HuggingFaceTB/finemath | |
# Ohms law
## Ohms law
Some basics of electronics
To be able to understand a bit more about electronics and the circuits that are shown on this or other websites, it is actually inevitable to understand Ohm’s law – it makes live a bit easier. You have to understand what happens with the current, the voltage and the ... | HuggingFaceTB/finemath | |
If you're seeing this message, it means we're having trouble loading external resources on our website.
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## High school geometry
### Course: High school geometry>Unit 8
Lesson 11: Constructing regular p... | HuggingFaceTB/finemath | |
## Multivariate Normal Regression Types
### Regressions
Each regression function has a specific operation. This section shows how to use these functions to perform specific types of regressions. To illustrate use of the functions for various regressions, “typical” usage is shown with optional arguments kept to a mini... | HuggingFaceTB/finemath | |
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.
After a long lag (due to my missing the free copies distributed at Paris-Dauphine!), here is a Sudoku-like Le Monde mathematical puzzle:
A grid of size (n,n) holds integer values such that any entry larger than 1 is the sum... | HuggingFaceTB/finemath | |
# Quotient algebra
In mathematics, a quotient algebra, (where algebra is used in the sense of universal algebra), also called a factor algebra, is obtained by partitioning the elements of an algebra into equivalence classes given by a congruence relation, that is an equivalence relation that is additionally compatible... | HuggingFaceTB/finemath | |
# Financial modeling midterm exam | Business & Finance homework help
The basic set up for the exam can be found in the file: f380.fall18.exam1.data.xlsx. That file contains nine worksheets that you are to complete. Each worksheet is named (and the number in parentheses is the points allotted to the problem). The follo... | HuggingFaceTB/finemath | |
Name: ___________________Date:___________________
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!
Grade 2 - Mathematics3.9 Money Word Problems
Method: Read the question carefully. Count the number of quarters, dimes, nickles Add or subtract as per the question. Exa... | HuggingFaceTB/finemath | |
# Basic diff. geometry question - Gradient of F
1. Feb 10, 2012
### Vasileios
Hi folks,
I have a basic question I would like to ask.
I ll start from the Euclidean analogue to try to explain what I want.
Suppose we have a smooth function (real valued scalar field)
$F(x,y)=x^2+y^2$, with $x,y \in ℝ$.
We also have ... | HuggingFaceTB/finemath | |
State an equation that best fits these results?
• Sep 23rd 2010, 03:59 PM
Pupil
State an equation that best fits these results?
Hi there, this is my first question on here that I am struggling with and would love some clarification:
I needed to do some coin tosses (this has nothing to do with probability) and make a c... | HuggingFaceTB/finemath | |
## Calculus 8th Edition
$\frac{e-1}{4}$
Given: $\int_{0}^{1}\int_{\sqrt y}^{1}\frac{ye^{x^{2}}}{x^{3}}dxdy$ $\int_{0}^{1}\int_{\sqrt y}^{1}\frac{ye^{x^{2}}}{x^{3}}dxdy=\int_{0}^{1}\int_{0}^{x^{2}}\frac{ye^{x^{2}}}{x^{3}}dydx$ $=\int_{0}^{1}\frac{e^{x^{2}}}{x^{3}}\cdot \frac{y^{2}}{2}|_{0}^{x^{2}}dx$ $=\frac{1}{2}\int_... | HuggingFaceTB/finemath | |
# What is the mass of 2 5 moles of Ca Oh 2?
Contents
## What is the equivalent weight of Ca OH 2?
For example, the molecular weight of calcium hydroxide, or “slaked lime,” [Ca(OH)2] is 72.10. Because the valency of calcium in this case is 2, the equivalent weight of lime is 36.05.
## What is the mass in grams of 2.... | HuggingFaceTB/finemath | |
## Basic Lifting Scheme Wavelets
### A Note on Notation
Wavelet algorithms are recursive. The output of one step of the algorithm becomes the input for the next step. The initial input data set consists of 2n elements. Each successive step operates on 2n-i elements, were i = 1 ... n-1. For example, if the initial dat... | HuggingFaceTB/finemath | |
# Pentagon
A pentagon is a geometrical shape, which has five sides and five angles. Here, “Penta” denotes five and “gon” denotes angle. The pentagon is one of the types of polygons. The sum of all the interior angles for a regular pentagon is 540 degrees.
Table of contents:
In Geometry, we study about different type... | HuggingFaceTB/finemath | |
# Write an absolute value equation that has no solution infinite
Due to the nature of the mathematics on this site it is best views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device should be able to scroll to see them and some of the menu items will ... | HuggingFaceTB/finemath | |
# Lab: biodiversity
Shannon's index of diversity (H): 1. pour into your “pond” a random number of colored goldfish. Calculate the total, the number for each color, and the Shannon’s index for this trial:
Example:
n = 37
yellow = 25/37 = 0.675
orange = 6/37 = 0.162
green = 1/37 = 0.027
red = 5/37 = 0.135
H = (.6... | HuggingFaceTB/finemath | |
# 4.9 In To Ft Lenght Unit Conversion :
Let's calculate 4.9 inches is how many feet. The conversion ratio between inches and feet is 0.0833
## How to convert 4.9 inches to feet?
Here is the simple formula :
1 inches is equal to 0.0833 feet.
So, we have to calculate 4.9 inches is how many feet with multipling by 0.... | HuggingFaceTB/finemath | |
# 3.25 To solve problems involving time units
Page 1 / 1
## Memorandum
1. 4 h 40 min + 24 h + 16 h 30 = 49 h 10 min
2. 45 min × 7 = 315 min = 5 h 15 min
3. 08:05
4. 81 + 365 + 366 + 365 + 365 + 365 + 360 + 52 + 2 325 days
5. 35 km in 20 min
× = 3 × 35 = 105 km/h
6. 2 × 110 km = 275 km
7.1 50 min
7.2 190 min... | HuggingFaceTB/finemath | |
# Find the length of the chord of the ellipse X2/25+y2/16=1 whose middle point is (1/2,2/5)Please answer immediately with solution.
Arun
25750 Points
5 years ago
The diameter thro ( 1/2, 2/5 ) has equation y=(4/5)x
The conjugate diameter has gradient m given by m*(4/5) = −16/25 → m=−4/5
All chords parallel to this a... | HuggingFaceTB/finemath | |
# How do you find the roots, real and imaginary, of y= (3/4x+1460)x+300 using the quadratic formula?
Mar 15, 2018
$x = \frac{- 2920 \pm 20 \sqrt{21307}}{3}$
#### Explanation:
We take $\left(\frac{3}{4} x + 1460\right) x + 300$ and expand it:
$\frac{3}{4} {x}^{2} + 1460 x + 300$
We equate this to $0$, and use the... | HuggingFaceTB/finemath | |
1. Jan 19, 2014
### knattagh
I am curious how to tell how centripetal accel. changes with radius since there are two equations I can look at
a = v2/r
or
a=wr
I read on a thread that if v is constant then use the top equation and if w is constant then use the bottom equation. Is this true? If so, can you please give... | open-web-math/open-web-math | |
# Math : Statistics
The formula h=vt−16t^2 gives the height h, in feet, of an object projected into the air with an initial vertical velocity v, in feet per second, after t
seconds.
If an object is projected upward with an initial velocity of
112 feet per second, at what times will it reach a height of
160 feet above ... | HuggingFaceTB/finemath | |
# Calculating difference of percentages
Sometimes, in research articles the difference between two percentage is reported directly. How is it right? Example:
State A has 75% of people of X kind. State B has 80% of people of X kind.
The difference is generally reported as... The difference in these two states (A,B) i... | HuggingFaceTB/finemath | |
# Top-down vs Bottom-up approach in Dynamic Programming
There are two ways to solve and implement dynamic programming problems: 1) Top-down approach and 2) Bottom-up approach. Both approaches are similar in one way: They use extra memory to store the solution to sub-problems to avoid recomputation and improve performa... | HuggingFaceTB/finemath | |
De Montmort's Problem of Coincidence
Printable View
• Nov 2nd 2007, 03:24 AM
chopet
De Montmort's Problem of Coincidence
If n objects labelled 1 to n are randomly placed in a row, what is the probability that exactly m of the objects will be correctly placed?
The equation is given below:
$c_{m,n} = {1 \over {m!}}[ {... | HuggingFaceTB/finemath | |
# Make a Living Graph
## Math Activity
Children learn to translate a concrete activity into a graphic representation, in this case, a bar graph.
WHAT YOU NEED
• Large, clear floor space marked off as a bar graph
• Newsprint or chart marked off as a bar graph
WHAT TO DO
1. Tape a large, clear floor space in the cl... | HuggingFaceTB/finemath | |
# BINOM.INV
In this comprehensive guide, we will explore the BINOM.INV formula in Excel. The BINOM.INV function is a statistical function that returns the smallest value for which the cumulative binomial distribution is greater than or equal to a specified criteria. In simpler terms, it helps you find the inverse of t... | HuggingFaceTB/finemath | |
# 32027 (number)
32,027 (thirty-two thousand twenty-seven) is an odd five-digits prime number following 32026 and preceding 32028. In scientific notation, it is written as 3.2027 × 104. The sum of its digits is 14. It has a total of 1 prime factor and 2 positive divisors. There are 32,026 positive integers (up to 3202... | HuggingFaceTB/finemath | |
• March 26th, 2020, 21:12
I am reading Tej Bahadur Singh: Elements of Topology, CRC Press, 2013 ... ... and am currently focused on Chapter 1, Section 1.4: Basis ... ......
0 replies | 112 view(s)
• March 26th, 2020, 14:09
Nice... (Smirk) Thank you very much!!! (Blush)
12 replies | 350 view(s)
• March 25th, 2020, 17:24... | HuggingFaceTB/finemath | |
# FRNDMTNG - Editorial
Author: Vasia Antoniuk
Tester: Mahbubul Hasan and Sunny Aggarwal
Editorialist: Balajiganapathi Senthilnathan
Russian Translator: Sergey Kulik
Mandarian Translator: Minako Kojima
Easy
None
### PROBLEM:
What is the probability that two persons meet if one of them comes at any time from 0 to T_... | HuggingFaceTB/finemath | |
# If points (a, 0), (0, b) and (1, 1) are collinear, then $$\left( \frac{a + b}{ab} \right)$$ =
1. -1
2. √2
3. 1
4. 2
Option 3 : 1
## Detailed Solution
Given:
(x1, y1) = (a, 0)
(x2, y2) = (0, b)
(x3, y3) = (1, 1)
Formula Used:
Area of triangle = (1/2)[x(y2 - y3) + x2 (y3 - y1) + x3 (y1 - y2)]
Concept:
If poi... | HuggingFaceTB/finemath | |
# Love Is The Base, Not The Exponent (A Theorem Semi-Proven)
Recently, I’ve been going over exponents with my students for the big math state test next week. Not sure if it was the chalk hitting my nose or the positivity I’ve surrounded myself with, but I’ve been thinking lots about this idea of love. Thus, I was prom... | HuggingFaceTB/finemath | |
# Digging for roots in the complex plane
Bring your shovel, and dig with us to unearth some amazing results about polynomials Wikimedia Commons, CC BY 2.0
As winter approaches and fall splatters the treetops with 600nm-wavelength light, it is wise, albeit cold, to get out with a rake or a spade to catch the best of t... | HuggingFaceTB/finemath | |
# magic square
## Magic Squares Using Semi-Primes
Wikipedia [1] defines a semi-prime as a natural number that is the product of two prime numbers. The definition allows the two primes in the product to be equal to each other, so the semi-primes include the squares of prime numbers. Displayed below are the first forty... | HuggingFaceTB/finemath | |
# Find the equation of the line drawn through the point of intersection of the
Question:
Find the equation of the line drawn through the point of intersection of the lines x – y = 7 and 2x + y = 2 and passing through the origin.
Solution:
Suppose the given two lines intersect at a point $P\left(x_{1}, y_{1}\right)$... | HuggingFaceTB/finemath | |
# Prove that $\sqrt 2 + \sqrt 3$ is irrational [duplicate]
I have proved in earlier exercises of this book that $\sqrt 2$ and $\sqrt 3$ are irrational. Then, the sum of two irrational numbers is an irrational number. Thus, $\sqrt 2 + \sqrt 3$ is irrational. My first question is, is this reasoning correct?
Secondly, t... | HuggingFaceTB/finemath | |
## Speed, Time and Distance
#### Speed, Time and Distance
1. A man walks a distance of 35 kms. He walks for some time at 4 km per hour and for some time at 5 km per hr. If he walks at 5 km per hr. instead of 4 km per hr. and 4 km per hr. instead of 5 km per hr, he will walk 2 kms more in the same span of time. Find h... | HuggingFaceTB/finemath | |
# how many silver matrices exist for $n=2^k$?
A silver matrix of size $$n$$ is an $$n\times n$$ matrix where the ith row and ith column contain all the numbers in {1,2,\cdots, 2n-1}. For $$n=2^k, k\ge 1$$, find a formula for the number of silver matrices of size n.
I know that silver matrices of size $$n > 1$$ can on... | HuggingFaceTB/finemath | |
## Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
In order to move the pig, the farmer must be able to overcome the maximum force of static friction. We can find the maximum force of static friction. Therefore; $F_f = mg~\mu_s$ $F_f = (120~kg)(9.80~m/s^2)(0.80)$ $F_f = 941... | HuggingFaceTB/finemath | |
Physics
posted by .
Two electrostatic point charges of +60.0 uC and +50.c uC exert a repulsive force on each other of 175 N. What is the distance between the two charges?
So let's say I use Coulomb's law would the repulsion of 175 N be considered the equivalent of the electric force? Can someone please transform the... | HuggingFaceTB/finemath | |
# Find all prime numbers up to a given number
☰ Table of Content
# Problem Statement
For example, when `n = 10`, the output should be `4` since there are 4 prime numbers less than 10, namely 2, 3, 5, 7.
## Naive Approach
A naive approach would be to iterate from `2` to `n` and count the number of primes along the ... | HuggingFaceTB/finemath | |
# Math Vaping Education
Here, we will be discussing the math behind vaping and the most important safety information we all need to know.
The first and most significant topic is Ohms Law
From Wikipedia:
“…the electric potential difference between two points on a circuit (V) is equivalent to the product of the curren... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Subtract 10/45 from 2/9
2/9 - 10/45 is 0/1.
#### Steps for subtracting fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 9 and 45 is 45
2. For the 1st fraction, since 9 × 5 = 45,
2/9 = 2 × 5/9 × 5 = 10/45
3. Likewise, for the 2nd fraction, ... | HuggingFaceTB/finemath | |
# How to Calculate Heating Load
Heat loads help determine air conditioning needs.
Heat loading involves measuring and evaluating all of the heat sources that contribute to the temperature in a room or office. Many sources apply, including the sun, equipment running, lights and body heat from occupants. For homes, sol... | HuggingFaceTB/finemath | |
# Early one October, you go to a pumpkin patch to select your Halloween pumpkin. You lift the 3.4kg pumpkin to a height of 1.4m , then carry it 50.0 m (on level ground) to the check-out stand. Part A Calculate the work you do on the pumpkin as you lift it from the ground. Express your answer using two significant figur... | HuggingFaceTB/finemath | |
# Thread: VERY VERY VERY simple derivative question
1. ## VERY VERY VERY simple derivative question
I am very confused on this although it should be very basic. The derivative of (4-x)^-1 is (4-x)^-2, since you use the chain rule. Then why is the derivative of (4-x)^-2 not 2(4-x)^-3, but -2(4-x)^-3? Shouldn't it be p... | HuggingFaceTB/finemath | |
1
Dec 16
## Nonparametric estimation for AP Stats
### Nonparametric estimation is the right topic for expanding the Stats agenda Figure 1. Dependence of income on age
For the last several years I have been doing research in nonparametric estimation. It is intellectually rewarding and it is the best tool to show Stat... | HuggingFaceTB/finemath | |
Degrees to radians converter How to convert radians to degrees. Angles measuring exactly 90, 180, 270, and 360 degrees do not have a terminal side that lies in a quadrant, and they’re referred to as quadrantal angles. The best way to measure an angle is to use a protractor. A reference angle is defined as the absolute ... | open-web-math/open-web-math | |
# Need Help with Physics Homework!?
You are exploring a newly discovered planet. The radius of the planet is 7.00×107m . You suspend a lead weight from the lower end of a light string that is 4.00 {rm m} long and has mass 0.0280 {rm kg}. You measure that it takes 0.0600s for a transverse pulse to travel from the lower... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Add 21/4 and 9/15
1st number: 5 1/4, 2nd number: 9/15
21/4 + 9/15 is 117/20.
#### Steps for adding fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 4 and 15 is 60
2. For the 1st fraction, since 4 × 15 = 60,
21/4 = 21 × 15/4 × 15 = 315/60
... | HuggingFaceTB/finemath | |
# How to find the equivalent resistance?
## Homework Statement ## The Attempt at a Solution
(a)I think there are two pairs of resistances are in parallel,one pair is the 40ohm and 50ohm resistances,and the other pair is the 30ohm and 60ohm resistances.But I'm not to sure So the Req I've calculate is 152.2ohm...
but ... | HuggingFaceTB/finemath | |
Expressing Zeta function using Gamma series
Motivated by Gautschi double inequality, $$\frac{n^{s}}{n^{\small1}}\ge\frac{\Gamma(n+s)}{\Gamma(n+1)}\ge\frac{(n+1)^{s}}{(n+1)^{\small1}}\ge\frac{\Gamma(n+1+s)}{\Gamma(n+1+1)}\ge\,\cdots \quad\colon\,0\lt{s}\lt1\tag{1}$$ From the main definition of zeta function, $$\zeta(s)... | HuggingFaceTB/finemath | |
So, I've been discussing declarative vs generative models. Here's a case where I think the declarative model makes good sense, how would you model this?
y is a vector of 1000 timeseries samples from some audio system. On one end is a highly sensitive microphone that puts out a voltage signal proportional to the instan... | open-web-math/open-web-math | |
# FREE TIBCO CCAT Assessment MCQ Question and Answers
0%
#### How many euros can you buy today, at the current exchange rate of 1 USD = 0.88 EUR, with 200 USD?
Correct! Wrong!
Explanation:
To find your solution, multiply 200 USD by 0.88 EUR, which is 176 EUR. You might also build up a proportion and solve.
Correct... | HuggingFaceTB/finemath | |
To compute the pth quantile of n non-missing values in a column, arrange the n values in ascending order and call these column values y1y2, ..., yn. Compute the rank number for the pth quantile as p / 100(n + 1).
• If the result is an integer, the pth quantile is that rank’s corresponding value.
• If the result is no... | HuggingFaceTB/finemath | |
# 1531055 (number)
1,531,055 (one million five hundred thirty-one thousand fifty-five) is an odd seven-digits composite number following 1531054 and preceding 1531056. In scientific notation, it is written as 1.531055 × 106. The sum of its digits is 20. It has a total of 3 prime factors and 8 positive divisors. There ... | HuggingFaceTB/finemath | |
by Alex Mennen 150 days ago | Vadim Kosoy likes this | link | parent | on: Meta: IAFF vs LessWrong There is a replacement for IIAF now: https://www.alignmentforum.org/ reply
by Jessica Taylor 149 days ago | Vadim Kosoy likes this | link Apparently “You must be approved by an admin to comment on Alignment Forum”, how d... | open-web-math/open-web-math |
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