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### Important Formulas and Facts
Factors and Multiples:
If number x divided another number y exactly, we say that x is a factor of y.
and y is called a multiple of x.
Highest Common Factor (H.C.F.) or Greatest Common Measure (G.C.M.) or Greatest Common Divisor (G.C.D.):
The H.C.F. of two or more than two numbers is th... | HuggingFaceTB/finemath | |
# Vectors
• Feb 23rd 2010, 07:10 AM
yobacul
Vectors
The question I have a problem with is this:
1. The lines l1 and l2 have vector equations given by:
r1 = 3i - j + 2k + λ(-2i + j + k)
r2 = -2i + 9j - 2k + μ(5i - 2j + k)
Find the values of λand μ when the vector r1 - r2 is perpendicular to both lines.
2. Find the ... | HuggingFaceTB/finemath | |
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Vectors
# Vectors - Vectors The Basics Lets start this section off...
This preview shows pages 1–3. Sign up to view the full content.
Vectors The Basics Let’s start this section off with a quick discussion on what vectors are used for. Vectors are used to repres... | HuggingFaceTB/finemath | |
# Logistic Regression Analysis with SAS
Logistic Regression
It is used to predict the result of a categorical dependent variable based on one or more continuous or categorical independent variables. In other words, it is multiple regression analysis but with a dependent variable is categorical.
Examples
1. An emplo... | HuggingFaceTB/finemath | |
+0
# help function
0
32
2
A function is defined as f(x) = x^2 - 3x + 4. What expression can be used to describe f(2x + 1)? Express your answer in simplified form in terms of x.
Oct 10, 2021
#2
+1
f(x) = x^2 - 3x + 4
f(2x+1) = (2x+1)^2 - 3(2x+1) + 4
now simplify
Oct 10, 2021 | HuggingFaceTB/finemath | |
# Metamath Proof Explorer
## Theorem isbndx
Description: A "bounded extended metric" (meaning that it satisfies the same condition as a bounded metric, but with "metric" replaced with "extended metric") is a metric and thus is bounded in the conventional sense. (Contributed by Mario Carneiro, 12-Sep-2015)
Ref Expres... | HuggingFaceTB/finemath | |
# Tip Calculator
How much is a 20 percent tip on \$144.53?
TIP:
\$ 0
TOTAL:
\$ 0
TIP PER PERSON:
\$ 0
TOTAL PER PERSON:
\$ 0
## How much is a 20 percent tip on \$144.53? How to calculate this tip?
Are you looking for the answer to this question: How much is a 20 percent tip on \$144.53? Here is the answer.
Let's ... | HuggingFaceTB/finemath | |
# Common Core Standard 7.RP.3 Monday, December 8, 2014 ‘A’ Week Name: _________________________ Period: _____ 90 56 ? 300 ALL Students who took the test.
## Presentation on theme: "Common Core Standard 7.RP.3 Monday, December 8, 2014 ‘A’ Week Name: _________________________ Period: _____ 90 56 ? 300 ALL Students who t... | HuggingFaceTB/finemath | |
## Squares to Compare
### Michael Marzano
#### Description
In this lesson the students learn how to draw and classify two and three dimensional figures (squares, triangles, rectangles.)
#### Objectives
The student draws and classifies two-dimensional figures having up to ten or more sides and three-dimensional fig... | HuggingFaceTB/finemath | |
Data Structures
Lecture 01: Introduction to Algorithm Analysis
Edirlei Soares de Lima What is an Algorithm?
A set of instructions to solve a problem.
The problem is the motivation for the algorithm.
In most cases, there are several algorithms to solve the same problem.
How can we choose the algorithm?
Algorithms can b... | HuggingFaceTB/finemath | |
# REFLECTION ACROSS THE X-AXIS
reflection across the x-axis is nothing but folding or flipping an object over the x axis.
The original object is called the pre-image, and the reflection is called the imageIf the pre-image is labeled as ABC, then the image is labeled using a prime symbol, such as A'B'C'.
An object an... | HuggingFaceTB/finemath | |
# How to use SUMIFs Function in Excel?
In this tutorial, we will cover how to use the SUMIF function with different types of criteria, including numeric, text, and date criteria. We will also demonstrate how to use the SUMIF function with AND/OR criteria to sum values based on multiple conditions.
## Step-by-step Gui... | HuggingFaceTB/finemath | |
This online seminar is organized by Hehui Wu (SCMS), Qiqin Xie (SCMS) and Ping Hu (SYSU).
You may also check our seminar schedule through researchseminars.org.
## Current schedule
### September 24th, 2020, 10:00 (UTC+8): Tao Jiang (Miami University)
Some degenerate hypergraph Turan problems
Given an r-uniform hype... | open-web-math/open-web-math | |
# Answers
Solutions by everydaycalculation.com
## Compare 8/4 and 7/42
1st number: 2 0/4, 2nd number: 7/42
8/4 is greater than 7/42
#### Steps for comparing fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 4 and 42 is 84
Next, find the equivalent fraction of both fractional n... | HuggingFaceTB/finemath | |
Want to keep learning?
This content is taken from the University of Padova's online course, Precalculus: the Mathematics of Numbers, Functions and Equations. Join the course to learn more.
3.5
Precalculus
Skip to 0 minutes and 12 seconds Hello. Let us consider the first exercise of the “Roots of polynomials in pract... | HuggingFaceTB/finemath | |
# Quick Answer: How Many Cups Is 3 Oz Of Parmesan Cheese?
## How many cups is 8 oz of parmesan cheese?
Ounce to US cup Conversion Chart – Grated parmesan cheeseounces to US cups of Grated parmesan cheese8 ounces=2.52 ( 2 1/2 ) US cups1/16 ounce=0.0197 US cup1/8 ounce=0.0394 US cup1/4 ounce=0.0788 ( 1/8 ) US cup19 mor... | HuggingFaceTB/finemath | |
congruent-triangles-geometry-help
# Interactive video lesson plan for: Congruent triangles-Geometry Help
#### Activity overview:
Geometry Teachers Never Spend Time Trying to Find Materials for Your Lessons Again!
http://geometrycoach.com/Geometry-Lesson-Plans/?pa=MOOMOOMATH
http://www.moomoomath.com/Proving-triangl... | HuggingFaceTB/finemath | |
# Thread: Video: Amsteel Continuous Loop
1. ## Video: Amsteel Continuous Loop
Hey guys,
I'm back with another splicing video. Since I got so much positive feedback on my ridgeline video, I though I'd make some more for you. Here is the first one on making a continuous loop from Amsteel. I'd like to thank Opie for hi... | HuggingFaceTB/finemath | |
## Elementary Statistics (12th Edition)
By using the table, the z-score belonging to the area 1-0.9798=0.0202: z=-2.05. $IQ=mean+z\cdot(standard \ deviation)=100+(-2.05) \cdot 15=100+(-30.75)=69.25\approx69.$ | HuggingFaceTB/finemath | |
# How to Calculate Density of a Gas
## Finding Density From Pressure Most of the time, the Ideal Gas Law can be used to make calculations for real gases. Ben Edwards, Getty Images
Density is mass per unit volume. Finding the density of a gas is the same as finding the density of a solid or liquid. You have to know th... | HuggingFaceTB/finemath | |
# Find the supremum and infimum of S, where S is the set S = {√n − [√n]}
• Sep 29th 2010, 03:25 PM
habsfan31
Find the supremum and infimum of S, where S is the set S = {√n − [√n]}
Find the supremum and infimum of S, where S is the set
S = {√n − [√n] : n belongs to N} .
Justify your claims. (Recall that if x belongs ... | HuggingFaceTB/finemath | |
# physics
100turns of insulated wire are wraped around a wooden cylindrical core of cross-sectional area 12cm2. The two ends of the wire are connected to a resistor. The total circuit resistance is 13Ω. If an externally applied uniform magnetic field along the core changes from 1.6T in one direction to 1.6T in the opp... | HuggingFaceTB/finemath | |
If you find any mistakes, please make a comment! Thank you.
## The quotient of a generating set is a generating set of the quotient
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 3.1 Exercise 3.1.16
Let $G$ be a group and $N \leq G$ a normal subgroup. Show that if $G = \langle S \rangle$, then $G... | HuggingFaceTB/finemath | |
# Convert 1D Array into 2D Array
Easy
6
59.3% Acceptance
In this lab, you will be tasked with converting a given 0-indexed 1-dimensional (1D) integer array `original` into a 2-dimensional (2D) array. You will be given two integers, `m` and `n`, representing the desired number of rows and columns, respectively, for th... | HuggingFaceTB/finemath | |
## The Most Spectacular, Stupendous, Sweeping, Slick, Straightforward Rubik’s Cube Tutorial the Web Has Ever Known (and Likely Ever Will Know) – Part 3 (Complete Top Face)
NOTICE: WORK IN PROGRESS. THIS POST AND OTHER PARTS OF THE TUTORIAL ARE STILL BEING CONCEIVED, WRITTEN, AND SPRUCED UP. YOUR PATIENCE WHILE THE HAM... | HuggingFaceTB/finemath | |
## Wednesday, May 24, 2017
### The Quadratic Formula - An Easy Way to Solve Quadratic Equations
Algebra has been one of the most important parts of mathematics. And the quadratic formula has been one of the most important aspects of algebraic math. There are many ways of solving a problem through this formula however... | HuggingFaceTB/finemath | |
What is the vertex of y=-3x^2-4x+2 ?
Dec 4, 2015
$\left(- \frac{2}{3} , \frac{10}{3}\right)$
Explanation:
The vertex of a quadratic equation can be found through the vertex formula:
$\left(- \frac{b}{2 a} , f \left(- \frac{b}{2 a}\right)\right)$
The letters represent the coefficients in the standard form of a qu... | HuggingFaceTB/finemath | |
Another exercise in applied geometry. This time we use the Tkinter GUI canvas and its create_line() function to draw a triangle, or a series of connected triangles to create something that looks like fancy art work. You might be able to impress grandmama with that one!
565 Views
``````# draw triangles with Tkinter can... | HuggingFaceTB/finemath | |
# Paper 3, Section II, C
(a) Suppose that a tensor $T_{i j}$ can be decomposed as
$T_{i j}=S_{i j}+\epsilon_{i j k} V_{k}$
where $S_{i j}$ is symmetric. Obtain expressions for $S_{i j}$ and $V_{k}$ in terms of $T_{i j}$, and check that $(*)$ is satisfied.
(b) State the most general form of an isotropic tensor of ra... | HuggingFaceTB/finemath | |
# 28.38 kg to lbs - 28.38 kilograms into pounds
kg
lbs
## 28.38 kg to lbs
Before we get to the more practical part - this is 28.38 kg how much lbs calculation - we want to tell you few theoretical information about these two units - kilograms and pounds. So we are starting.
## 28.38 kgs in pounds
We are going to s... | HuggingFaceTB/finemath | |
# The road to entry for junior programmers the use of simple selection sort
Let’s introduce a relatively simple [selection sort] , as follows:
Selection sort is a simple and intuitive [sorting algorithm] , and no matter what data goes in, it takes O(n²) time complexity. So when using it, the smaller the data size, th... | HuggingFaceTB/finemath | |
# NMTC Final Inter 2016 Q1) A, B, C are three points on a circle. The distance of C from the tangents at A and B to the circle are a and b respectively. If the distance of C from the chord AB is c, show that c is the geometric mean of a and b.
Q2)Find all integer solutions to the equation x³+(x+4)²=y².
Q3)Two right a... | HuggingFaceTB/finemath | |
example of Taylor polynomials for the exponential function
Example 1.
We construct the $n$th Taylor polynomial for $f(x)=e^{x}$ around $x=0$. As we know all derivatives of $e^{x}$ equal $e^{x}$ and also, $e^{0}=1$. Therefore, $f^{(n)}(0)=1$ for any $n$. Thus:
$\displaystyle T_{1}(x)$ $\displaystyle=$ $\displaystyle... | open-web-math/open-web-math | |
# slope
• Feb 22nd 2010, 04:26 PM
Juggalomike
slope
This question is killing me, i believe it is solved with triangles(which is why im posting it in the geometry forum) because every method i have tried has failed.
The speed of a 2.5 kg block sliding directly down a frictionless inclined plane is found to be 1.70 m/s... | HuggingFaceTB/finemath | |
# Area of exponential distribution
I am looking at distributions here. I am confused that some PDFs (e.g. exponential, Weibull with $\gamma = 1$) have a $P(X) = 1$ about the axis. I thought integrating over the entire distribution should yield $1$. But these distributions obviously equal more than one over their area.... | HuggingFaceTB/finemath | |
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}{\| #1 \|}$$ $$\ne... | HuggingFaceTB/finemath | |
# How do you find the greatest common factor of 105x, 30yx, 75x?
Dec 1, 2016
15
#### Explanation:
Remember that the greatest common factor (GCF) is the largest factor that each number has in common.
First, you split each one up into simplest form.
$105 x = 3 \cdot 5 \cdot 7 \cdot x$
$30 x y = 2 \cdot 3 \cdot 5 \cd... | HuggingFaceTB/finemath | |
# What does this happen to my series expansion?
1. Sep 4, 2009
### rsq_a
I came across this really strange error when doing series expansions in Mathematica. Suppose I were to let,
$$F(z) = \frac{(z+2)^2}{(z+1)^2} - 0.4$$
Now $$F(z) = 0$$ gives $$z \approx -3.72076, -1.61257$$. Suppose we take the second value of ... | HuggingFaceTB/finemath | |
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Variance
Portfolio Variance: Example Problem
An investor has a 30% position in A and 70% position in B. Period A B 1 -.04 .11 2 .15 .41 3 .21 -.13 4 .18 .39 1. Calculate the variance and the return on the entire portfolio. 2. Calculate the expected return for both firms along with the standar... | HuggingFaceTB/finemath | |
Python solution with detailed explanation
• Solution
1. Visualize a sorted list. The middle two elements (M1, M2) determine the median. Element 0 to M1 is max heap. Element M2 to N is min heap.
2. How to peek top element in heap? It is element at index 0. http://stackoverflow.com/questions/1750991/peeking-in-a-heap-i... | HuggingFaceTB/finemath | |
How many gm of solid NaOH must be added to 100ml of a buffer solution which is 0.1M each w.r.t acid HA and salt NaA to make the pH of solution 5.5. Given pK_a(HA) = 5 (Use antilog (0.5) = 3.16?
Jan 27, 2018
$\text{0.2 g NaOH}$
Explanation:
You know that the hydroxide anions delivered to the solution by the sodium h... | HuggingFaceTB/finemath | |
# Eckmann–Hilton Argument: Group Operation is a Group Homomorphism
## Problem 268
Let $G$ be a group with the identity element $e$ and suppose that we have a group homomorphism $\phi$ from the direct product $G \times G$ to $G$ satisfying
$\phi(e, g)=g \text{ and } \phi(g, e)=g, \tag{*}$ for any $g\in G$.
Let $\mu: ... | open-web-math/open-web-math | |
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Maximum Likelihood Estimators and Examples
A slecture by Lu Zhang
Partially based on the ECE662 Spring 2014 lecture material of Prof. Mireille Boutin.
# Outline of the slecture
• Background and Introduction of ML estimator
• Finding Maximum ... | HuggingFaceTB/finemath | |
# Divide a 4 digit number by a 1 digit number
Lesson
## Partitioning and renaming digits
When we want to divide a large number, such as 4402 (a four digit number) by a single digit number, such as 4, there are some techniques that can help us. We've explored some of these with smaller two and three digit numbers, ... | HuggingFaceTB/finemath | |
# Expression of yarn count
## 2019年08月17日
Expression of yarn count
Speaking of the word count, many friends in the cotton yarn industry have arrived very intimate.
However, once you talk about the unpredictable form of the count, even industry experts may shake your head.
Don't panic, we have compiled the most comp... | HuggingFaceTB/finemath | |
# Problem: Water flows from the pipe shown in the figure with a speed of 8.0 m/s. (Figure 1)What is the height h of the standing column of water? Express your answer to two significant figures and include the appropriate units.
###### FREE Expert Solution
Continuity equation:
$\overline{){\mathbf{Av}}{\mathbf{=}}{\m... | HuggingFaceTB/finemath | |
# Ex.5.4 Q3 Arithmetic progressions Solutions - NCERT Maths Class 10
Go back to 'Ex.5.4'
## Question
A ladder has rungs $$25\,\rm{ cm}$$ apart. (See figure). The rungs decrease uniformly in length from $$45\,\rm{ cm}$$ at the bottom to $$25\,\rm{ cm}$$ at the top. If the top and bottom rungs are \begin{align} 2\fra... | open-web-math/open-web-math | |
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Math Central Quandaries & Queries
I work for a shutter company and am in need of a formula to figure out what the low leg height would be if given the width of shutter, the high point of arch top and the radius. example would be a 18" wide shutter with a 80" high leg on the right side and a 30" radius. I ... | HuggingFaceTB/finemath | |
# Tag: lesson
### Area of Composite Figures – Lesson 9.3
This lesson finds the area of composite figures (2 or more figures added together), then uses that to apply money. Read more: youtube.com
### Area of Circles – Lesson 9.2
Here, we find area of circles. Remember, area is always SQUARE UNITS. Read more: youtube... | HuggingFaceTB/finemath | |
Question
# An up escalator is going at the rate of 10 step/min. How many steps per min should I move down on it as to look like that I am at rest to a person standing on ground.
A
0 steps
B
20 steps
C
10 steps
D
5 steps
Solution
## The correct option is D 10 steps So in the same time you have to come down by... | HuggingFaceTB/finemath | |
I require to uncover \$fracddx(frac1sqrtx+2)\$ only using the basic an interpretation of the derivative \$f"(x)=lim_h o 0fracf(x+h)-f(x)h\$, but I"m not having any luck with the algebra. Any kind of hints? By elementary school algebra (try it!) friend can present that\$\$fracf(x+h)-f(x)h=-frac1sqrtx+h+2,sqrtx+2,,(sqrt... | HuggingFaceTB/finemath | |
# Thread: Calculus I: integral
1. ## Calculus I: integral
Evaluate $\displaystyle \int \frac{x^2 + 2}{(x \cos x + \sin x)^2} \ dx.$
2. Try the substitution $\displaystyle u=x-\arctan\frac1x$. Then $\displaystyle \tan u=\frac{\tan x-\frac1x}{1+\frac{\tan x}x} =\frac{x\sin x-\cos x}{x\cos x+\sin x}$. Furthermore $\dis... | HuggingFaceTB/finemath | |
Search All of the Math Forum:
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Notice: We are no longer accepting new posts, but the forums will continue to be readable.
Topic: derivative of discrete fourier transform interpolation
Replies: 8 Last Post: Jun 6, 2013 7:24 AM
Messa... | HuggingFaceTB/finemath | |
# 【每日一算】旋转有序数组
//常规有序数组
int[] arr1 = {1,2,3,4,5}
//旋转有序数组
int[] arr2 = {50,60,70,80,20,30,40}
1. 假设最左边下标用left标识，最右边下标有right标识，中间整数下标用mid标识;
2. 每次判断下标mid对应的整数值是否大于下标left对应整数值，如果大于，说明左边有序，如果小于，说明右边有序;
3. 在上一步的基础上，如果左边有序，判断目标值target实在左边还是在右边，如果在左边，right = mid-1,否则 left = mid+1;
4. 如果右边有序，判断目标值target在左边还是右边，如果在右边，left =... | HuggingFaceTB/finemath | |
# IIT JEE Determinants Maths Solutions
## Maths Determinants IIT JEE Solutions
Free IITJEE video lecture for Maths of chapter Determinants. Select subtopics to view all video lectures for IITJEE chapter Determinants
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### IIT Solutions Class 12 | DETERMINANTS
... | HuggingFaceTB/finemath | |
# Use special products to expand and simplify: (x^3n-b^2m)^3show solution and explain the answer.
sciencesolve | Teacher | (Level 3) Educator Emeritus
Posted on
You need to expand the binomial using the formula such that:
`(x-y)^3 = x^3 - 3x^2y + 3xy^2 - y^3`
You need to substitute `x^(3n)` for x and `b^(2m)` fo... | HuggingFaceTB/finemath | |
Cody
# Problem 1267. Calculate the probability that at least two people in a group share the same birthday.
Solution 2151494
Submitted on 5 Mar 2020 by Edward Huang
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.
### Test Suite
Test Status Code Input and ... | HuggingFaceTB/finemath | |
Connecting Acceleration, Time, and Displacement in Physics Problems - dummies
# Connecting Acceleration, Time, and Displacement in Physics Problems
You know that you can relate velocity with displacement and time. And you know that you can relate velocity and time to get acceleration. You also can relate displacement... | HuggingFaceTB/finemath | |
#### Solution for 325 is what percent of 1480:
325:1480*100 =
(325*100):1480 =
32500:1480 = 21.96
Now we have: 325 is what percent of 1480 = 21.96
Question: 325 is what percent of 1480?
Percentage solution with steps:
Step 1: We make the assumption that 1480 is 100% since it is our output value.
Step 2: We next... | HuggingFaceTB/finemath | |
## DEV Community seanpgallivan
Posted on • Updated on
# Solution: Roman to Integer
This is part of a series of Leetcode solution explanations (index). If you liked this solution or found it useful, please like this post and/or upvote my solution post on Leetcode's forums.
#### Description:
(Jump to: Solution Idea ... | HuggingFaceTB/finemath | |
# How to Calculate Board Footage Like a Pro: A Comprehensive Guide
Precision and accuracy are paramount in the worlds of woodworking and DIY home improvement. These are crafts where a single misstep can mean a waste of perfectly good lumber or worse—a fixture or piece of furniture that’s just slightly off-kilter. One ... | HuggingFaceTB/finemath | |
Introductory Statistics
# Solutions
1.
dependent variable: fee amount; independent variable: time
3.
Figure 12.31
5.
Figure 12.32
7.
y = 6x + 8, 4y = 8, and y + 7 = 3x are all linear equations.
9.
The number of flu cases depends on the year. Therefore, year becomes the independent variable and the number of flu ... | HuggingFaceTB/finemath | |
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411_hw01_soln
# 411_hw01_soln - Stat 411 Homework 01 Solutions 1 Since the...
This preview shows pages 1–2. Sign up to view the full content.
Stat 411 – Homework 01 Solutions 1. Since the X i ’s are independent, E ( Y n ) = E ( X 1 ) · · · E ( X n ) = c n . By M... | HuggingFaceTB/finemath | |
Lemma 31.13.10. Let $X$ be a scheme. Let $D, D' \subset X$ be effective Cartier divisors such that the scheme theoretic intersection $D \cap D'$ is an effective Cartier divisor on $D'$. Then $D + D'$ is the scheme theoretic union of $D$ and $D'$.
Proof. See Morphisms, Definition 29.4.4 for the definition of scheme the... | open-web-math/open-web-math | |
# MathBench>Population Dynamics
## Exact probabilities
Scribbling in the margin of his book, the Assistant soon had the answer his supervisor was waiting for. His reasoning went something like this...
For a given, single locus:
• let p be the proportion of dominant alleles (brown hair) in the gene pool
• let q be t... | HuggingFaceTB/finemath | |
# Multiply 1/3*(2/4-(5/6+6/3-3/4)+(2/5)÷(3/10))
Simplify each term.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numera... | HuggingFaceTB/finemath | |
# Practice Conversions of Length Within the Metric System NCSC Sample Instructional Unit - Elementary Measurement Lesson 3 - Practice 1.
## Presentation on theme: "Practice Conversions of Length Within the Metric System NCSC Sample Instructional Unit - Elementary Measurement Lesson 3 - Practice 1."— Presentation trans... | HuggingFaceTB/finemath | |
# The number density of free electrons in a copper conductor estimated in Example
Question:
The number density of free electrons in a copper conductor estimated in Example $3.1$ is $8.5 \times 10^{28} \mathrm{~m}^{-3}$. How long does an electron take to drift from one end of a wire $3.0 \mathrm{~m}$ long to its other... | HuggingFaceTB/finemath | |
### QLD Year 7 Mathematics
# TOPIC TITLE
1 Study Plan Study plan – Year 7
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
Objective: On completion of the lesson the student will be able to use place value to solve and record addit... | HuggingFaceTB/finemath | |
# Max Flow Problem Introduction
Maximum flow problems involve finding a feasible flow through a single-source, single-sink flow network that is maximum.
Let’s take an image to explain how above definition wants to say.
Each edge is labeled with a capacity, the maximum amount of stuff that it can carry. The goal is to... | HuggingFaceTB/finemath | |
# Percentages
Search my site:
A percent is special type of fraction. It is a fraction where the denominator is 100. The symbol we use for percent is %.
Just like a fraction, a percent is a comparison of 2 numbers. For example, 1% means 1 part out of 100 parts.
This is the most important thing to note about perce... | HuggingFaceTB/finemath | |
🎉 Exercism Research is now launched. Help Exercism, help science and have some fun at research.exercism.io 🎉
# bobeff's solution
## to Difference Of Squares in the Nim Track
Published at Feb 17 2021 · 0 comments
Instructions
Test suite
Solution
Find the difference between the square of the sum and the sum of ... | HuggingFaceTB/finemath | |
Browse Questions
# The scalar product of the vector $\hat i + \hat j + \hat k$ with a unit vector along the sum of vectors $2\hat i + 4 \hat j − 5\hat k$ and $λ\hat i + 2 \hat j + 3\hat k$ is equal to one. Find the value of $λ.$
Toolbox:
• Unit vector in the direction of $\overrightarrow a=\large\frac{\overrightarrow... | open-web-math/open-web-math | |
## 6927
6,927 (six thousand nine hundred twenty-seven) is an odd four-digits composite number following 6926 and preceding 6928. In scientific notation, it is written as 6.927 × 103. The sum of its digits is 24. It has a total of 2 prime factors and 4 positive divisors. There are 4,616 positive integers (up to 6927) t... | HuggingFaceTB/finemath | |
# In neutral water under standard conditions, what are [H_3O^+], and [HO^-]?
Apr 19, 2017
$\left[{H}_{3} {O}^{+}\right] = \left[H {O}^{-}\right] = {10}^{- 7} \cdot m o l \cdot {L}^{-} 1. \ldots \ldots \ldots \ldots \ldots \ldots$
#### Explanation:
By careful measurement at $298 \cdot K$, ${K}_{w} , \text{the ion pr... | HuggingFaceTB/finemath | |
# The maximum of pieces into which a pizza can be cut by making six cuts?
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If you want an even-sized pieces... | HuggingFaceTB/finemath | |
The problems in SBAC test questions are not limited to the language arts portion of the test. A dual degreed (Ed Phd and JD) math teacher from Missouri began looking at Grade 6 SBAC math items last year, especially those considered at DOK 3 and found problems there as well.
Teachers were sent a link to the practice te... | HuggingFaceTB/finemath | |
# Differentiate f(x) = 2x^2 * ln x
justaguide | College Teacher | (Level 2) Distinguished Educator
Posted on
We have to differentiate f(x) = 2x^2 * ln x
f(x) = 2x^2 * ln x
Now we use the product rule to find the derivative. The derivative of f(x)*g(x) = f'(x)*g(x) + f(x)*g'(x).
=> f'(x) = 2*[x^2* [d(ln x) /dx] + ... | HuggingFaceTB/finemath | |
## College Algebra 7th Edition
$2x^{\frac{1}{6}}$
RECALL: (i) $a^{-m} = \dfrac{1}{a^m},a\ne0$ (ii) $\sqrt[n]{a^m} = a^{\frac{m}{n}}$ (iii) $\dfrac{a^m}{a^n} = a^{m-n}, a\ne0$ Simplify the numerator to obtain: $=\dfrac{\sqrt[3]{2^3x^2}}{\sqrt{x}} \\=\dfrac{2\sqrt[3]{x^2}}{\sqrt{x}}$ Use rule (ii) above to obtain: $=\df... | HuggingFaceTB/finemath | |
# Suppose that $f:I\rightarrow R$ is uniformly continuous--prove that the righthand limit at the endpoint exists
Suppose $f$ is a uniformly continuous function mapping from an open real interval $(a,b)$ into the real numbers. Then the limit as $x$ approaches $a$ from the right of $f(x)$ exists.
I'm having trouble pro... | HuggingFaceTB/finemath | |
Family of Straight lines.
Family of straight lines.
Equation of family of straight line passing through point of intersection of lines $L_1\,:\,a_1x\,+b_1y\,+c_1\,=0$ and $L_2\,:\,a_2x\,+b_2y\,+c_2\,=0$ is given by $L\,:\,L_1\,+ \lambda L_2\,=0$ , where $\lambda \in R$ , and $\lambda$ is a paramet... | HuggingFaceTB/finemath | |
## Classifying Bets & Raises Part 2 – The Risk-Reward Approach
### Poker Concepts
June 5, 2008
In this series I discuss how bets and raises are classified, and the thinking behind determining if a given bet or raise is correct.
Part 1
As you’ll recall from last article, there is a well defined system for classifyi... | HuggingFaceTB/finemath | |
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# Question 16. The first term of an A.P. is 2 and the last term is 50. The sum of all these terms is 442. Find the common difference.
• 0
One of the most important and exam oriented question from Chapter name- Arithmetic Progression
Class 10th
Chapter number- 9
Exercise :- 9.6
This type of question has been... | HuggingFaceTB/finemath | |
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# Boyle's law - Definition, formula, some real life examples, Practice problems, FAQs
Each of us has encountered a syringe when visiting a doctor. It is a medical tool used for fluid injection or withdrawal. It is made up of a sliding plunger attached to a hollow barrel. A syringe function... | HuggingFaceTB/finemath | |
Problem:
Consider a circle of radius 6 as given in the diagram below. Let B, C, D and E be points on the circle such that BD and CE, when extended, intersect at A. If AD and AE have length 5 and 4 respectively, and DBC is a right angle, then show that the length of BC is $$\frac {12 + 9 \sqrt {15} }{5}$$ I.S.I. 2017 g... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from feet per second to meters per second is 0.3048, which means that 1 foot per second is equal to 0.3048 meters per second:
1 ft/s = 0.3048 m/s
To convert 407.2 feet per second into meters per second we have to multiply 407.2 by the conversion factor in order to get the ... | HuggingFaceTB/finemath | |
# Triangle calculator SSS - result
Please enter the triangle sides:
### Obtuse scalene triangle.
Sides: a = 10 b = 25 c = 28
Area: T = 124.1276699384
Perimeter: p = 63
Semiperimeter: s = 31.5
Angle ∠ A = α = 20.77218550453° = 20°46'19″ = 0.36325372623 rad
Angle ∠ B = β = 62.45114540405° = 62°27'5″ = 1.09899834... | HuggingFaceTB/finemath | |
# NCERT Solutions for Class 9 Science Chapter 10 Work and Energy
NCERT Solutions for Class 9 Science Chapter 10 Work and Energy provides detailed answers for all in-text and exercise Questions. These solutions contain an in-depth explanation of each topic involved in the chapter. Students studying in class 9 can acces... | HuggingFaceTB/finemath | |
0
# 10 ft equals how many yd?
Updated: 11/5/2022
Wiki User
β 13y ago
There being three feet in a yard, 10 ft equals 3 1/3 yards.
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β 13y ago
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3 yd = 9 ft
3 ft
### 30 ft equal how many yd?
30 ft * (1 yd/3 ft) ... | HuggingFaceTB/finemath | |
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No credit card required Y
ou can tell these ar
e the
same angle, ev
en bef
ore y
ou
work out wha
t tha
t angle is.
spotting similar triangles
Circle the triangles below th... | HuggingFaceTB/finemath | |
Find the area of the shaded region in the figure.
http://i575.photobucket.com/albums/ss196/felixduhc...
And how do you get the answer? Explain how you get the answer please. This question kinda confuses me.
Relevance
Do it in bits.
First find the area of the whole circle...
πr²=4π
Then find the area of the secto... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
Add 50/18 and 35/48
1st number: 2 14/18, 2nd number: 35/48
50/18 + 35/48 is 505/144.
Steps for adding fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 18 and 48 is 144
2. For the 1st fraction, since 18 × 8 = 144,
50/18 = 50 × 8/18 × 8 = 400/... | HuggingFaceTB/finemath | |
## Algebra: A Combined Approach (4th Edition)
$\dfrac{7a^{2}b}{3ab^{2}}\div\dfrac{21a^{2}b^{2}}{14ab}=\dfrac{14}{9b^{2}}$
$\dfrac{7a^{2}b}{3ab^{2}}\div\dfrac{21a^{2}b^{2}}{14ab}$ Divide the two rational expressions: $\dfrac{7a^{2}b}{3ab^{2}}\div\dfrac{21a^{2}b^{2}}{14ab}=\dfrac{(7a^{2}b)(14ab)}{(3ab^{2})(21a^{2}b^{2})... | HuggingFaceTB/finemath | |
# Linear algebra proof
1. May 15, 2016
### Danielm
1. The problem statement, all variables and given/known data
Prove the following: Let V be a vector space and assume there is an integer n such that if (v1, . . . , vk) is a linearly independent sequence from V then k ≤ n. Prove is (v1, . . . , vk) is a maximal line... | HuggingFaceTB/finemath | |
Monday April 13 th
```Name _________________________________________Date _______________ Algebra 2: Mrs. Knox
CHAPTER
1–3
Midterm over Spring Break Due Monday April 13th. If not handed in on the 13th
there will be 20 points automatically deducted. Complete work in PENCIL! SHOW
ALL WORK FOR FULL CREDIT! If necessary sh... | HuggingFaceTB/finemath | |
8+ Awesome Special Right Triangles Activities
I hand out the Special Right Triangles. This will match the nu.
45 45 90 Special Right Triangle Notes Special Right Triangle Triangle Worksheet Right Triangle
The most frequently studied right triangles the special right triangles are the 30 60 90 Triangles followed by t... | HuggingFaceTB/finemath | |
# 6.4 Solve Simple Interest Applications
The topics covered in this section are:
## 6.4.1 Use the Simple Interest Formula
Do you know that banks pay you to let them keep your money? The money you put in the bank is called the principal, $P$, and the bank pays you interest, $I$. The interest is computed as a certain ... | HuggingFaceTB/finemath | |
# Plot the following points on the same graph paper: $A(2,\dfrac{5}{2}),\,B( - \dfrac{3}{2},3),\,C(\dfrac{1}{2},\dfrac{3}{2})\,and\,D( - \dfrac{5}{2}, - \dfrac{1}{2})$ Verified
184.2k+ views
Hint: Coordinates are two numbers separated by a comma and they are always written in brackets. Coordinates are ordered pairs of... | HuggingFaceTB/finemath | |
Chapter 13, Problem 76GQ
Chapter
Section
Textbook Problem
A solution is made by adding 50.0 mL of ethanol (C2H5OH, d = 0.789 g/mL) to 50.0 mL of water (d = 0.998 g/mL). What is the total vapor pressure over the solution at 20 °C? (See Study Question 75.) The vapor pressure of ethanol at 20 °C is 43.6 mm Hg.
Inter... | HuggingFaceTB/finemath | |
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