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# If the sum of two unit vector is a unit vector, then what is the angle between them?
$\begin{array}{1 1} \large\frac{\pi }{6} \\\large\frac{\pi }{3} \\ \large\frac{ 2 \pi }{3}\\ \large\frac{\pi }{8} \end{array}$
Toolbox:
• $|\overrightarrow a+\overrightarrow b|^2=|\overrightarrow a|^2+|\overrightarrow b|^2+2\overri... | HuggingFaceTB/finemath | |
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BaseRecurso... | HuggingFaceTB/finemath | |
# Curve Fitting via Optimization
This example shows how to fit a nonlinear function to data. For this example, the nonlinear function is the standard exponential decay curve
`$y\left(t\right)=A\mathrm{exp}\left(-\lambda t\right),$`
where $y\left(t\right)$ is the response at time $t$, and $A$ and $\lambda$ are the pa... | HuggingFaceTB/finemath | |
Solve for x square root of x+2=2x+1
Solve for x square root of x+2=2x+1
To remove the radical on the left side of the equation, square both sides of the equation.
Simplify each side of the equation.
Use to rewrite as .
Simplify the left side.
Simplify .
Multiply the exponents in .
Apply the power rule and multiply exp... | HuggingFaceTB/finemath | |
## 3115 Days From August 2, 2024
Want to figure out the date that is exactly three thousand one hundred fifteen days from Aug 2, 2024 without counting?
Your starting date is August 2, 2024 so that means that 3115 days later would be February 11, 2033.
You can check this by using the date difference calculator to mea... | HuggingFaceTB/finemath | |
Evaluating Limits Mathematically
So here's an example of the kind of problem i'm talking about: limits. How exactly do I go about evaluating something like that. I can see and kind of figure it out and the answers make sense, but how do I do this mathematically? Thanks
-
If you look at the fractional exponent $\frac... | HuggingFaceTB/finemath | |
## Predictive analytics might not have predicted the Aurora shooter
July 28, 2012
By
Predictive analytics might not have predicted the Aurora shooter: It always seems a bit strange to me to suggest that to identify a very small signal in a sea of noise, what we need to do is add more noise. Even if someone is one hun... | open-web-math/open-web-math | |
# Difference of two sample means from the same binomial distribution
Here is the question I am trying to answer: There are 4000 birds chirping in a forest and a bird either sings with a 30% probability or doesn't with an 70% probability. Each one is independent of the other and overall noise is proportional to the num... | HuggingFaceTB/finemath | |
# General Chemistry: Principles, Patterns, and Applications, v. 1.0 (2 Volume Set)
by Bruce Averill and Patricia Eldredge
## 5.3 Calorimetry
### Learning Objective
1. To use calorimetric data to calculate enthalpy changes.
Thermal energy itself cannot be measured easily, but the temperature change caused by the fl... | HuggingFaceTB/finemath | |
# Python Operators
Since we have covered all the built-in data types of python, in this tutorial we can look into the operators we can perform on the variables using the python operators.
In Python, the operators are divided into the following operators
## Types of Operators in Python
• Arithmetic operators
• Assig... | HuggingFaceTB/finemath | |
You are on page 1of 23
# ED 3601 Curriculum and
## Instruction for Majors:
Mathematics
Unit Plan Template
Subject Area
Topic
Length of Unit
(days)
Math
20-1
Rational Expressions and
Equations
9 Classes (Days)
Rationale
The study of rational expressions is foundational to further levels of mathematics.
Rational ex... | HuggingFaceTB/finemath | |
Stat Trek
Teach yourself statistics
Teach yourself statistics
# Rules of Probability
Often, we want to compute the probability of an event from the known probabilities of other events. This lesson covers some important rules that simplify those computations.
## Definitions and Notation
Before discussing the rules... | HuggingFaceTB/finemath | |
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Students watch a dot get tossed from one number on a number line to the opposite of the number. Students predict where the dot will land each time based on its starting location.... | HuggingFaceTB/finemath | |
Feedback on Proof of Squeeze Theorem
I wrote out a proof of the Squeeze Theorem for my personal notes as I study AP Calculus. This is my first time really writing out a proof using a combination of natural language and logic. I would appreciate feedback on whether there are any errors, style mistakes, or anything I co... | HuggingFaceTB/finemath | |
Algebra Tutorials!
Home Rational Expressions Graphs of Rational Functions Solve Two-Step Equations Multiply, Dividing; Exponents; Square Roots; and Solving Equations LinearEquations Solving a Quadratic Equation Systems of Linear Equations Introduction Equations and Inequalities Solving 2nd Degree Equations Review Solv... | HuggingFaceTB/finemath | |
7.6 Exercises#
7.6.1 Direct products#
Exercise 7.1#
How many elements are in each of the following groups?
(a) C₂ × C₆
12
(b) S₃ × A₅
15
(c) C₃⁵, which means C₃ × C₃ × C₃ × C₃ × C₃
3⁵ = 243
Exercise 7.2#
(a) Consider two Cayley diagrams, one for the group A with two arrow types (indicating two generators) an... | HuggingFaceTB/finemath | |
# Mini Project 2
#### Posted: 2018-02-22 | Due: 2018-03-16
Changelog
A list of changes so far include:
* 3/10/2018 - Task 3 + Report deadline pushed back to 03/16/2018 11:59pm
* 3/05/2018 - Task 3 + Report deadline pushed back to 03/14/2018
* 3/04/2018 - Task 2 finalized
* 3/01/2018 - Task 3 released
* 2/28/2018... | open-web-math/open-web-math | |
# Probability of getting 3 on loaded die
A six-sided die is loaded in such a way that an odd number is twice as likely to occur as an even number. We throw the die until a 3 is observed. What is the probability that the number of throws required is (strictly) more than 5 and (strictly) less than 10?
My working.
P(od... | HuggingFaceTB/finemath | |
It is currently 23 Jun 2017, 07:20
### GMAT Club Daily Prep
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# First Conditional
## What Does First Conditional Mean?
When we use First Conditional we are talking about the present or the future. By using First Conditional, we mean a possible condition in the part with if and a likely outcome in the main part with the result.
The result we mean is based on facts or patterns. ... | HuggingFaceTB/finemath | |
# Scalene Triangle
Triangle is a three sided-polygon with three edges, three vertices and three interior angles. In other words, a triangle is a closed two-dimensional figure with three sides and three angles.
Triangles are classified into different types on the basis of their sides and angles. Each of them has its ... | HuggingFaceTB/finemath | |
You are Here: Home >< Maths
# Whence the Caratheodory criterion? Watch
1. I'm trying to learn some measure theory (if I'd bothered to listen in the lectures of yesteryear that would be "relearn") and I want to understand the Caratheodory criterion. I think the following is true:
2. Find an outer measure on
3. Filter... | HuggingFaceTB/finemath | |
# lim_(x->0)(tan x - x)/x^3 = ?
Mar 1, 2017
$- \frac{1}{6}$
#### Explanation:
We know that sin x = x-x^3/(3!)+x^5/(5!)- cdots = sum_(k=0)^oo(-1)^k x^(2k+1)/((2k+1)!)
and also
sin x -x = -x^3/(3!)+x^5/(5!)- cdots
Now $\frac{\tan x - x}{x} ^ 3 = \frac{\sin x - x \cos x}{{x}^{3} \cos x}$ and for small values on $x... | HuggingFaceTB/finemath | |
Edit Article
# wikiHow to Divide Mixed Fractions
A mixed number, or mixed fraction, is a number that combines a whole number and a fraction.[1] It is possible to divide mixed numbers; however, doing so requires converting them to improper fractions first. Once the mixed numbers are converted, you can divide as you wo... | HuggingFaceTB/finemath | |
# How do you rationalize the denominator and simplify sqrt(10)/(sqrt(5)-2)?
May 28, 2017
I got as far as this:
#### Explanation:
Multiply and divide by $\sqrt{5} + 2$:
$\frac{\sqrt{10}}{\sqrt{5} - 2} \cdot \frac{\sqrt{5} + 2}{\sqrt{5} + 2} =$
$= \sqrt{10} \cdot \frac{\sqrt{5} + 2}{5 - 4} = \sqrt{5 \cdot 2} \cdot ... | HuggingFaceTB/finemath | |
# 11851 (number)
11851 is an odd five-digits composite number following 11850 and preceding 11852. In scientific notation, it is written as 1.1851 × 104. The sum of its digits is 16. It has a total of 2 prime factors and 4 positive divisors. There are 10,152 positive integers (up to 11851) that are relatively prime to... | HuggingFaceTB/finemath | |
# Hot Water Delivery Calculations
| Posted in General Questions on
Does anyone know of a formula for calculating how much time it would take to clear out a specific length/diameter plumbing supply line for a given system pressure? My interest is related to hot water delivery. I’ve not exhausted a search, but thought ... | HuggingFaceTB/finemath | |
12.3: Division of Polynomials
Difficulty Level: At Grade Created by: CK-12
Learning Objectives
• Divide a polynomial by a monomial.
• Divide a polynomial by a binomial.
• Rewrite and graph rational functions.
Introduction
A rational expression is formed by taking the quotient of two polynomials.
Some examples of ... | HuggingFaceTB/finemath | |
# Find the distance x using Coulomb's law.
## Homework Statement
There are 3 charges q1,q2 & q3. Charge q1 is 1.67x10^-10 C and charge q2 is 9.13x10^-6 C. There is no net force on charge q3. x is the distance between q1 and q3 & (2-x) is the distance between q3 and q2. Distance between charge q1 and q2 is 2 meters. F... | 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!)
A258851 The pi-based arithmetic derivative of n: a(p) = pi(p) for p prime, a(u*v) = a(u)*v + u*a(v), where pi = A000720. 50
0, 0, 1, 2, 4, 3, 7, 4, 12, 12, 11, 5, 20, 6, 15, ... | HuggingFaceTB/finemath | |
# How do you concatenate a matrix in Matlab?
## How do you concatenate a matrix in Matlab?
C = cat( dim , A1,A2,…,An ) concatenates A1 , A2 , … , An along dimension dim . You can use the square bracket operator [] to concatenate. For example, [A,B] or [A B] concatenates arrays A and B horizontally, and [A; B] concate... | HuggingFaceTB/finemath | |
Hectares
Lesson
Converting units of area
We've seen how converting units of area can be useful to make sense of the amount of space something takes up. Have you ever thought how useful it would be if there was something bigger than a square metre, but smaller than a square kilometre? That's where the hectare comes ... | HuggingFaceTB/finemath | |
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Logarithm Bases
Extracts from this document...
Introduction In this analysis of logarithm bases I will be discussing and explaining some of the properties and functions dependent on formulas wh... | HuggingFaceTB/finemath | |
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Toolkit
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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.
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The speed of light changes when moving from one mean to another
## Refraction
The light refraction phenomenon is associated with the change of the speed of light when passing from one mean to another. The speed of light changes in the refraction, i.e., in passing from one mean to another.
For the study of refraction... | HuggingFaceTB/finemath | |
# How can I solve this Integral?
#### Alexandra
Problem Statement
Hi, I'm trying to solve the next integral
Relevant Equations
\int ^{\infty} _{0} \dfrac{e^{ax} - e^{bx}}{(1+e^{ax})(1+e^{bx})} \ dx
a > 0 ; b > 0
I split this to get
\int ^{\infty} _{0} \dfrac{e^{ax}}{(1+e^{ax})(1+e^{bx})} \ dx - \int ^{\infty} _{0}... | HuggingFaceTB/finemath | |
# REFLECTION AT CURVED SURFACES
## Concave and convex mirrors
They are also known as spherical mirrors and are formed when a spherical glass is silvered . If the inside is silvered a convex or diverging is formed while a concave or converging mirror is formed when the outside is silvered.
## Parts of a spherical mir... | HuggingFaceTB/finemath | |
Rohan
Reputation
Top tag
Next privilege 250 Rep.
Dec5 awarded Popular Question Feb2 accepted show if $n=4k+3$ is a prime and ${a^2+b^2} \equiv 0 \pmod n$ , then $a \equiv b \equiv 0 \pmod n$ Feb2 comment show if $n=4k+3$ is a prime and ${a^2+b^2} \equiv 0 \pmod n$ , then $a \equiv b \equiv 0 \pmod n$ I get this but $a... | HuggingFaceTB/finemath | |
Closed set proof
Homework Helper
Homework Statement
This question has two parts :
(a) Let F be a finite collection of closed sets in ℝn. Prove that UF ( The union of the sets in F ) is always a closed set in ℝn.
(b) Let F be a finite collection of closed intervals An = [$\frac{1}{n}, 1- \frac{1}{n}$] in ℝ for n = ... | HuggingFaceTB/finemath | |
## Why does „i“ to the power of „i“ equal an odd decimal slightly higher than .2?
I entered it into my Graphing Calculator, and I got .2078795764, I don’t understand how this could make sense, shouldn’t an imaginary to the power of an imaginary also equal an imaginary? (not even my Algebra 2 H teacher could answer th... | HuggingFaceTB/finemath | |
# A firm has $671,000 in fixed costs, a unit selling price of$11, and variable costs of $7. What... ## Question: A firm has$671,000 in fixed costs, a unit selling price of $11, and variable costs of$7. What are the number of sales, in units, necessary to earn a target profit of $144,000? ## Target Profit and Breakeven ... | HuggingFaceTB/finemath | |
# 8.3 Belief Networks
The notion of conditional independence is used to give a concise representation of many domains. The idea is that, given a random variable $X$, there may be a few variables that directly affect the $X$’s value, in the sense that $X$ is conditionally independent of other variables given these vari... | HuggingFaceTB/finemath | |
# If a,b,c,d are any four consecutive coefficients in the expansion of (1+x)n,then a/a+b,b/b+c,c/c+d are in
1. A.P
2. G.P
3. H.P
4. A.G.P
4
A.P
Explanation :
No Explanation available for this question
# If a,b,c are positive then both roots of equation ax2+bx+c=0
1. Are real and negative
2. Are real and... | HuggingFaceTB/finemath | |
# Alternative arrangement of numbers in the array
Given an array of 2n numbers of the following format
{a1, a2, a3,…an, b1, b2, b3, …bn}
We have to write a program to transform this into the following format.
{a1, b1, a2, b2, a3, b3, …, an, bn}
This can be done using the following algorithm.
We iterate over the array... | HuggingFaceTB/finemath | |
Re: Eliminating common factors?
• To: mathgroup at smc.vnet.net
• Subject: [mg93327] Re: Eliminating common factors?
• From: Bill Rowe <readnews at sbcglobal.net>
• Date: Tue, 4 Nov 2008 06:16:17 -0500 (EST)
On 11/3/08 at 5:26 AM, siegman at stanford.edu (AES) wrote:
>I have a simple, totally algebraic symbolic calc... | HuggingFaceTB/finemath | |
# MTH 357 Final Exam - Dr.
Minghui Yang
From: Francisco Almonte
December 19, 2010
Q1: Data: EXCEL files Chp2 IBD.xls Questions:
1. How many variables are in this data set and their type (nominal, ordinal, interval, ratio)?
There are six variables in the data set. Here are their names and types:
Variable Name Variable T... | HuggingFaceTB/finemath | |
# Laminar vs. Turbulent flow in a partially filled pipe
I've recently been learning about how to use Reynolds number to estimate if a fluid flow is laminar or turbulent while flowing through a pipe, and it has got me wondering if there is a similar way to tell if a flow is laminar or turbulent in a partially filled pi... | HuggingFaceTB/finemath | |
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Discrete Mathematics Math 6A
Presentation on theme: "Discrete Mathematics Math 6A"— Presentation transcript:
Discrete Mathematics Math 6A
Homework 1
1.1-1 Proposition: A statement that is either true (T) or false (F).
a) Boston is the capital of Massachusetts. (True proposition... | HuggingFaceTB/finemath | |
# How do you simplify the radical expression (3-sqrt2)/(3 +sqrt2)?
Apr 6, 2015
Method: Rationalize the denominator
$\frac{3 - \sqrt{2}}{3 + \sqrt{2}}$ becomes $\frac{\left(3 - \sqrt{2}\right) \left(3 - \sqrt{2}\right)}{\left(3 + \sqrt{2}\right) \left(3 - \sqrt{2}\right)}$
$\implies \frac{9 - 2 \left(3 \sqrt{2}\righ... | HuggingFaceTB/finemath | |
# Statistics
### By: Curtis, Mya & Rachel
Rachel K - I am currently a Junior. I enjoy playing volleyball and spending time with squad. When i'm not playing volleyball I enjoy going to Starbucks and pigging out with Lacey. That's all folks
Mya N - I am in my final year of high school, Thank goodness! I enjoy spending... | HuggingFaceTB/finemath | |
LinearDependency - Maple Help
IntegerRelations
LinearDependency
find an integer dependence (relation)
Calling Sequence LinearDependency(v,opts)
Parameters
v - list or Vector of (complex) floating-point numbers opts - (optional); equation of the form method=LLL or method=PSLQ specifying the algorithm used
Desc... | HuggingFaceTB/finemath | |
# How do you find the integral int_0^(2)(10x)/sqrt(3-x^2)dx ?
Oct 1, 2014
This is a classic case if what's called u-substitution. Meaning that you have to find a function ( u) and it's derivative (du) in the expression. Both the function and it's derivative may be hidden behind coefficients and confusing notation.
I... | HuggingFaceTB/finemath | |
##### An elevator descends into a mine shaft at the rate of 6 m/min. If the descent starts form 10m above the ground level, how long will it take to reach – 350 m
In the above question the distance descended is denoted by a negative integer
It is given in the question that,
Initial height = 10 m
Also,
Final depth ... | HuggingFaceTB/finemath | |
Courses
# Pie Charts - Exercise 24B Class 8 Notes | EduRev
## Class 8 : Pie Charts - Exercise 24B Class 8 Notes | EduRev
``` Page 1
Question:11
Tick
A man's monthly salary is Rs 2400 and his monthly expenses on travel are Rs 250. The central angle of the sector representing travel expenses in the pie chart would be... | HuggingFaceTB/finemath | |
Home > CCG > Chapter 12 > Lesson 12.1.4 > Problem12-52
12-52.
Use the relationships in each diagram below to solve for the given variables. Homework Help ✎
1. The secant-tangent angle is half the difference between the major and minor arcs.
$x\ =\ \frac{153 - 87}{2}$
The total measure of all the arcs in a circle... | HuggingFaceTB/finemath | |
ADVANCED SEARCH
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Published in: Chinese Journal of Electronics
(Volume: 30, Issue: 6, 05 November 2021)
Articles in press have been peer-reviewed and accepted, which are not yet assigned to volumes /issues, but are citable by Digital Object Identifier (DOI).
Display Method:
Abstract(87) HTML(48) PDF(11... | open-web-math/open-web-math | |
# Optimization Using Hopfield Network
Optimization is an action of making something such as design, situation, resource, and system as effective as possible. Using a resemblance between the cost function and energy function, we can use highly interconnected neurons to solve optimization problems. Such a kind of neural... | HuggingFaceTB/finemath | |
English | Español
# Try our Free Online Math Solver! Online Math Solver
Depdendent Variable
Number of equations to solve: 23456789
Equ. #1:
Equ. #2:
Equ. #3:
Equ. #4:
Equ. #5:
Equ. #6:
Equ. #7:
Equ. #8:
Equ. #9:
Solve for:
Dependent Variable
Number of inequalities to solve: 23456789
Ineq. #1... | HuggingFaceTB/finemath | |
평면 분할 (plane partitions)
이동: 둘러보기, 검색
평면분할의 예
2의 평면분할 목록
$$\left\{ \begin{array}{l} \{2\} \end{array} , \begin{array}{l} \{1,1\} \end{array} , \begin{array}{l} \{1\} \\ \{1\} \end{array} \right\}$$
3의 평면분할
$$\left\{ \begin{array}{l} \{3\} \end{array} , \begin{array}{l} \{2,1\} \end{array} , \begin{array}{l} \{1,1... | HuggingFaceTB/finemath | |
# What Is a Numeric Data Type?
//
Larry Thompson
What Is a Numeric Data Type?
In programming, a numeric data type is used to store numerical values such as integers, floating-point numbers, and decimal numbers. These data types are essential for performing mathematical calculations and manipulating numeric data in ... | HuggingFaceTB/finemath | |
1. ## infinite integral
is the infinite integral of an oscillating function like sin(x) or cos(x) 0? i know that a definite integral of this type will depend on the limits of integration, but over the interval [0, infinity) 0 seems like the only thing that would make sense but i wanna convince myself a little more str... | HuggingFaceTB/finemath | |
ABCD is a parallelogram with AC and BD as diagonals. Then, : Kaysons Education
# ABCD Is A Parallelogram With AC and BD as Diagonals. Then,
#### Video lectures
Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.
#### Online Support
Practice over 30000+ questions star... | HuggingFaceTB/finemath | |
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This is an awesome mini book for any interactive math journal. Understanding the complexities of fractions is difficult for students.. This mini book will simplify the process and ensure that they are fraction professionals in no time at all. This mini book breaks the basics of fractions do... | HuggingFaceTB/finemath | |
A jar contains 54 marbles, each of which some are blue, some are green and some are white.
Question:
A jar contains 54 marbles, each of which some are blue, some are green and some are white. The probability of selecting a blue marble at random is $\frac{1}{3}$ and the probability of selecting a green marble at random... | open-web-math/open-web-math | |
# NCERT Solutions - Determination of Income and Employmenta Notes | Study Indian Economy for UPSC CSE - UPSC
## UPSC: NCERT Solutions - Determination of Income and Employmenta Notes | Study Indian Economy for UPSC CSE - UPSC
The document NCERT Solutions - Determination of Income and Employmenta Notes | Study Indian E... | HuggingFaceTB/finemath | |
#### Need Solution for R.D.Sharma Maths Class 12 Chapter determinants Exercise 5.2 Question 40 Maths Textbook Solution.
Answer: $a b c\left(a^{2}+b^{2}+c^{2}\right)^{3}$
Hint Use determinant formula
Given: $\left|\begin{array}{ccc} -a\left(b^{2}+c^{2}-a^{2}\right) & 2 b^{3} & 2 c^{3} \\ 2 a^{3} & -b\left(c^{2}+a^{... | HuggingFaceTB/finemath | |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 15 Nov 2019, 14:24 ### 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.
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# CIE A level -Pure Mathematics 1 : Topic : 1.4 Circular measure: definition of a radian : Exam Questions Paper 1
### Question
The diagram shows a metal plate made by fixing together two pieces, OABCD (shaded) and OAED (unshaded). The piece OABCD is a minor sector of a circle with centre O and radius 2r. The piece OA... | HuggingFaceTB/finemath | |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 22 Sep 2018, 20:21
### 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.
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# Problem
Sudoku is a logic based number placement puzzle. The term sudoku is originated from Japanese, where Su means ‘Number’ and Doku means ‘Single’. The objective of the problem is to fill 9x9 grid with the following rules
• Every column should be filled with numbers 1 to 9 only once.
• Every 3x3 sub-grid should ... | HuggingFaceTB/finemath | |
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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A173597 a(n) = a(n-1) + a(n-2) - [a(n-4)/4] - [a(n-5)/2] - [a(n-6)/4]. 0
1, 1, 2, 3, 5, 8, 13, 20, 31, 47, 70, 104, 154, 227, 334, 489... | HuggingFaceTB/finemath | |
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# Shadow of a vertical pillar is equal to the height of the pillar then the angle of elevation of sun will be:(a) $90{}^\circ$(b) $60{}^\circ$(c) $45{}^\circ$(d) $30{}^\circ$ Verifi... | HuggingFaceTB/finemath | |
###### Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
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# Tangram & basic concepts of geometry
We are going to make a tangram set by folding, unfolding and cutting shapes out of a sheet of paper. We will be looking at some of the characteristics of these shapes, as well as the relationships between them.
Step 1
Start with an ordinary rectangular sheet of copy paper. Fold... | HuggingFaceTB/finemath | |
Question
# What is the pH of a 0.29M solution of (CH3)3NHNO3? Kb for (CH3)3N = 6.4 x...
What is the pH of a 0.29M solution of (CH3)3NHNO3? Kb for (CH3)3N = 6.4 x 10-5
use:
Ka = (1.0*10^-14)/Kb
Ka = (1.0*10^-14)/6.4*10^-5
Ka = 1.563*10^-10
(CH3)3NH+ + H2O -----> (CH3)3N + H+
0.29 0 ... | HuggingFaceTB/finemath | |
Tiffany Dawdy CAMELBACK HIGH SCHOOL, PHOENIX, AZ
12th Grade Math : Unit #1 - Basic Functions and Equations : Lesson #6
# Shifting Functions: How can we describe them?
Objective: SWBAT use horizontal and vertical shifts and stretching to sketch the graphs of functions and identify key features of the graphs and how tr... | HuggingFaceTB/finemath | |
# Prove odd degree polynomials have roots. [duplicate]
Let $p:\mathbb{R}\rightarrow\mathbb{R}$ be a polynomial of odd degree. Prove that there is a solution of the equation $$p(x)=0, x\in\mathbb{R}$$
I am giving this question in an analysis textbook and the only machinery I have to work with is the sequential definit... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## What is 43 percent of 55?
43% of 55 is 23.65
#### Working out 43% of 55
1. Write 43% as 43/100
2. Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
43/100 of 55 = 43/100 × 55
3. Therefore, the answer is 23.65
If you are usin... | HuggingFaceTB/finemath | |
# Probability Calculations and Value Betting
Usually, inputing data, variables and stats into an excel spreadsheet is dull and when it’s done on a daily basis it can get frustrating. Now, the clever part of building a betting system is making proper use of those numbers in order to calculate a probability percentage a... | HuggingFaceTB/finemath | |
# Quick Answer: What is the value of one mole of pennies in dollars?
Contents
Moles – UNIT 8!! 1 mol of pennies distributed around the Earth would give everyone 1 million trillion dollars.
## How much is a mole of a penny?
If you had a mole of pennies, you would have 6.02 × 1023 pennies. That is a lot of pennies. I... | HuggingFaceTB/finemath | |
# A balanced lever has two weights on it, the first with mass 8 kg and the second with mass 35 kg. If the first weight is 5 m from the fulcrum, how far is the second weight from the fulcrum?
It is at a distance of $1.143$ $m .$ from fulcrum
Moment of first weight is $8 \times 5 = 40$ $k g . m$. as the second weight ... | HuggingFaceTB/finemath | |
0
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# Probability Questions For IBPS Clerk
Download important Cloze Test Questions PDF based on previously asked questions in IBPS Clerk and other Banking Exams. Practice Cloze Test Question and Answers for IBPS Clerk Exam.
Take Free IBPS Clerk Mock Test
Go to Free Banking Study Material (15,000 Solved Questions)... | HuggingFaceTB/finemath | |
# Invariant Points Worksheets, Questions and Revision
GCSE 6 - 7AQAEdexcelOCRWJECHigherWJEC 2022
## Invariant points
When we transform a shape – using translations, reflections, rotations, enlargements, or some combination of those $4$, there are sometimes points on the shape that end up in the same place that they ... | HuggingFaceTB/finemath | |
This is a hard problem to prize in this format. It took me a page on paper. Below are the crucial points:
1) Pull out the 20π. The is simply a constant.
You are watching: Integrate sin^3x cos^2x
2) usage a trig substitution: sin(3x) = 3sin(x) - 4 sin3(x) and also cos(2x) = 1 - 2sin2(x)
3) Multiply out the resulting... | HuggingFaceTB/finemath | |
# Finding bias of $\hat\theta=\max\{x_1,\ldots,x_k\}$ where $x_i$'s are discrete uniform
I am working through some textbook problems and came across a problem I am having difficulty with. The problem asks to give the bias of a point estimate, namely for a given set of data $$X = \{x_1, x_2,\ldots,x_n\}$$ drawn from a ... | HuggingFaceTB/finemath | |
The theorem:
-Given triangle ABC. Let point D be the midpoint of side AB, point E be the midpoint of side AC, and point F be the midpoint of side BC (Note triangle DEF is the medial triangle).
-Let point J be the foot of the altitude from point C to side AB, point K be the foot of the altitude from point B to side AC, ... | HuggingFaceTB/finemath | |
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# What Percent Is 5 Out Of 8
What Percent Is 5 Out Of 8
There are five out of eight possible outcomes in a game of chance. What is the probability of that?
### Introduction: What is 5 out of 8?
What is 5 out of 8?.
The answer to this question is n... | HuggingFaceTB/finemath | |
# YHWH “implied values”
## Check this out!!!
##### These are the first 216 decimals of π after the Root (3.14)
159 265 358 979 323 846 264 338 327
950 288 419 716 939 937 510 582 097
494 459 230 781 640 628 620 899 862
803 482 534 211 706 798 214 808 651
328 230 664 709 384 460 955 058 223
172 535 940 812 848 1... | HuggingFaceTB/finemath | |
Linear equations given - Bounded
Chapter 12 Class 12 Linear Programming
Concept wise
Introducing your new favourite teacher - Teachoo Black, at only ₹83 per month
### Transcript
Ex 12.1, 3 Solve the following Linear Programming Problems graphically: Maximise Z = 5x + 3y subject to 3x + 5y ≤ 15, 5x + 2y ≤ 10, x ≥ 0,... | HuggingFaceTB/finemath | |
# Week 1 – precalculus 11
In my first week of Pre-Calculus 11 I learned some interesting concepts. However, the concept of an Arithmetic Series intrigued me the most. An Arithmetic Series is the sum of all terms in a sequence in which the numbers are increasing or decreasing by the same amount in the next place in th... | HuggingFaceTB/finemath | |
# Electric Field Due to an Infinite Line Charge using Gauss’ Law
Section 5.5 explains one application of Gauss’ Law, which is to find the electric field due to a charged particle. In this section, we present another application – the electric field due to an infinite line of charge. The result serves as a useful “bui... | HuggingFaceTB/finemath | |
## mathhard 2 years ago 1/4+2/5=???
1. mathhard
NEED HELP NOW!
2. geerky42
3. mathhard
IT WAS THE WRONG PROBLEM
4. Hero
Multiply the first fraction by 5/5 Multiply the second fraction by 4/4 Finally add both together
5. Ahsher97
turn them into decimals then back into a fraction, thats probably the easiest way ... | HuggingFaceTB/finemath | |
# Question: How Do You Find The Distance Between Two Planes?
## What is the angle between two lines?
If one of the line is parallel to y-axis then the angle between two straight lines is given by tan θ = ±1/m where ‘m’ is the slope of the other straight line.
If the two lines are a1x + b1y + c1 = 0 and a2x + b2y + ... | HuggingFaceTB/finemath | |
# Greatest Common Factor of 87/329, 82/310, 523/224
Get help with finding GCF of fractions 87/329, 82/310, 523/224 using GCF of Fractions Calculator to know the result 1/1631840 the largest number that divides all the numbers with a zero remainder.
Greatest common factor (GCF) of 87/329, 82/310, 523/224 is 1/1631840.... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Compare 36/70 and 8/4
1st number: 36/70, 2nd number: 2 0/4
36/70 is smaller than 8/4
#### Steps for comparing fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 70 and 4 is 140
Next, find the equivalent fraction of both fractional numbers ... | HuggingFaceTB/finemath | |
# TheLp-integrability of the partial derivatives of A quasiconformal mapping
@article{Gehring1973TheLpintegrabilityOT,
title={TheLp-integrability of the partial derivatives of A quasiconformal mapping},
author={Frederick W. Gehring},
journal={Acta Mathematica},
year={1973},
volume={130},
pages={265-277}
}
• F. Gehring... | open-web-math/open-web-math | |
# Show that: $0.01n \log n - 2000n+6 = O(n \log n)$
Show that $$0.01n \log n - 2000n+6 = O(n \log n)$$.
Starting from the definition: $$O(g(n))=\{f:\mathbb{N}^* \to \mathbb{R}^*_{+} | \exists c \in \mathbb{R}^*_{+}, n_0\in\mathbb{N}^* s. t. f(n) \leq cg(n), \forall n\geq n_0 \}$$
For $$f(n) = 0.01n \log n - 2000n+6$... | HuggingFaceTB/finemath | |
Encyclopedia > Symmetry group
Article Content
Symmetry group
The symmetry group of a geometric figure is the group of congruencies under which it is invariant, with composition as the operation. The article on group theory also contains an explanation of the concept.
In Euclidean geometry, discrete symmetry groups ... | HuggingFaceTB/finemath | |
Problems of the Week
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How many ways can you put all the numbers 1 through 9 in this triangular grid, such that numbers along each arrow form an increasing sequence? The diagram shows one possible configuration. A ball of mass $m$ is moving between two parallel plates of mass much larger than $m$, ... | HuggingFaceTB/finemath | |
# Basic Geometry Theorem
Tag:
BASIC PROPORTIONALITY THEOREM
If a line is drawn parallel to one side of a triangle, the other two sides of the triangle are divided proportionally.
Thus, in Fig. DE || BC, According to the above result
We can easily verify this by measuring AD, DB, AE and EC.
We state the converse of ... | HuggingFaceTB/finemath |
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