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# 1961 AHSME Problems/Problem 31
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Problem
In $\triangle ABC$ the ratio $AC:CB$ is $3:4$. The bisector of the exterior angle at $C$ intersects $BA$ extended at $P$ ($A$ is between $P$ and $B$). The ratio $PA:AB$ is:
$\textbf{(A)}\ 1:3 \qqua... |
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# 4.8: Problem-Solving Strategies: Read a Graph; Make a Graph
Difficulty Level: At Grade Created by: CK-12
Graphing is a very useful tool when analyzing a situation. This lesson will fo... |
# Thread: Find perimeter of figure
1. ## Find perimeter of figure
Hello!
It's really basic, but what is the perimeter of this figure? r is the radius of the circle and length of the square.
2. Originally Posted by Incendiary
Hello!
It's really basic, but what is the perimeter of this figure? r is the radius of the... |
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# Systems of Linear Equations in Two Variables
## Solving for two variables using elimination.
0%
Progress
Practice Systems of Linear Equations in Two Variables
Progress
0%
Systems of T... |
Estimating Product and Quotient
The procedure of estimating product and quotient are in the following examples.
Solved examples to estimate product and quotient:
1. Estimate the product 958 × 387 by rounding off each factor to its greatest place.
Solution:
Clearly, each factor is a three digit number. So, we round... |
# APEX Calculus
## Section11.3The Dot Product
The previous section introduced vectors and described how to add them together and how to multiply them by scalars. This section introduces a multiplication on vectors called the dot product.
### Definition11.3.1.Dot Product.
1. Let $$\vec u = \la u_1,u_2\ra$$ and $$\ve... |
Find your Math Personality!
Trigonometric chart
Trigonometric chart
Emma is standing in the balcony of her house.
She is looking down at the flower pot placed in the balcony of another house.
You can observe a right-angled triangle in this situation.
Emma says that if she knows the height at which she is standing... |
How do you use implicit differentiation to find dy/dx given x^2+3xy-y^2=0?
Oct 24, 2016
$\frac{\mathrm{dy}}{\mathrm{dx}} = \frac{1}{2} \left(3 \pm \sqrt{13}\right)$
Explanation:
$0 = {x}^{2} + 3 x y - {y}^{2} = \left(x + \frac{1}{2} \left(3 - \sqrt{13}\right) y\right) \left(x + \frac{1}{2} \left(3 + \sqrt{13}\right... |
Home » Greatest Common Factor » GCF of 65 and 24
# GCF of 65 and 24
The gcf of 65 and 24 is the largest positive integer that divides the numbers 65 and 24 without a remainder. Spelled out, it is the greatest common factor of 65 and 24. Here you can find the gcf of 65 and 24, along with a total of three methods for c... |
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An office receptionist took Rs. 8000 as a personal loan from the manager for 6 months at 11% p.a. simple interest. At the end of six months, she gave the manager an Rs. 3500 and a gold coin to settle her dues. At what price did the manager get the gold ... |
# Parallel Lines and Angles Vertical Angles Vertical Angles
• Slides: 15
Parallel Lines and Angles
Vertical Angles • Vertical Angles are angles that are opposite each other at an intersection. • Vertical Angles are equal 1 2 3 4 Angles 1 and 4 are vertical angles Angles 2 and 3 are vertical angles On your notesheet:... |
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# Exterior Angles Theorems
## Exterior angles equal the sum of the remote interiors.
Estimated10 minsto complete
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# 10.8: t Distribution
Learning Objectives
• State the difference between the shape of the $$t$$ distribution and the normal distribution
• State how the difference between the shape of the $$t$$ distribution and normal distribution is affected by the degrees of freedom
• Use a $$t$$ table to find the value of $$t$$ ... |
×
Inscribing Triangles in Curves (Part 1)
Some of you may have heard about the unsolved geometry problem called "Inscribed Square Problem" or "Toeplitz' conjecture". It states that in any closed curve, there exists 4 points on the curve that form a square. It sounds like a really simple problem, yet mathematicians ha... |
### Pebbles
Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?
### Adding All Nine
Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add... |
# How do you solve abs(9+7x)=30?
##### 1 Answer
Apr 30, 2017
See the entire solution process below:
#### Explanation:
The absolute value function takes any negative or positive term and transforms it to its positive form. Therefore, we must solve the term within the absolute value function for both its negative and... |
# Matrices
A Matrix is an array of numbers:
A Matrix
(This one has 2 Rows and 3 Columns)
We talk about one matrix, or several matrices.
There are many things we can do with them ...
To add two matrices: add the numbers in the matching positions:
These are the calculations:
3+4=7 8+0=8 4+1=5 6-9=-3
The two matri... |
# Finishing Five Point Graphs
2 teachers like this lesson
Print Lesson
## Objective
SWBAT sketch quick graphs of quadratic functions, identifying and labeling the key points on each: the roots, the vertex, and the y-intercept.
#### Big Idea
A focus on special cases can reveal a lot about the fascinating behavior o... |
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# A Bit About Vectors for AP Physics B & C
(not rated)
By McGraw-Hill Professional
Updated on Feb 10, 2011
Practice problems for these concepts can be found at: Vectors Practice Problems for AP Physics B & C
### Scalars
Scalars are numbers that have a magnitude but no direction.
... |
How do you show greater than 3?
How do you show greater than 3?
All inequality signs give us the relationship between the first number and the second, beginning with the first number, so 4 > 3 translates to “4 is greater than 3.” This also works the other way around. If you see 5 < 8, imagine the < sign as a little a... |
# Roman Numerals to Number
## This is a helpful tool that you can use online for free. It can convert Roman numerals into regular decimal numbers.
Roman numerals may seem like a mysterious code from ancient times, but they're actually quite simple once you understand the rules. In this article, we'll break down Roman... |
# Difference between revisions of "2019 AMC 10B Problems/Problem 8"
## Problem
The figure below shows a square and four equilateral triangles, with each triangle having a side lying on a side of the square, such that each triangle has side length 2 and the third vertices of the triangles meet at the center of the squ... |
Sum of Interior Angles of a Polygon Topic Index | Geometry Index | Regents Exam Prep Center
Sum of Interior Angles of a Polygon = 180(n - 2) (where n = number of sides)
Let's investigate why this formula is true.
Start with vertex A and connect it to all other vertices (it is already connected to B and E by the si... |
# Eureka Math Algebra 1 Module 1 Lesson 7 Answer Key
## Engage NY Eureka Math Algebra 1 Module 1 Lesson 7 Answer Key
### Eureka Math Algebra 1 Module 1 Lesson 7 Exercise Answer Key
Exercise 1.
Suzy draws the following picture to represent the sum 3+4:
Ben looks at this picture from the opposite side of the table an... |
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# Catenary Arch Math for an 11 cubic foot kiln
Lets waste no time in digging into the math for a Catenary arch. First I will explain what we are building and then do the brick math and simplify the formulas needed to calculate whats needed.
This kiln is tall enough and wide enough to work with single she... |
# How do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.
## Full text
(1)
Pre-Algebra (page 1/9) The verbal answers to all of the following questions should be memorized before completion of
pre-algebra. Answers that are not memorized will hinder your abil... |
## Elementary Linear Algebra 7th Edition
$$\operatorname{adj}(A)=\left[ \begin {array}{cccc} -1&-1&-1&2\\ -1&-1&2&-1 \\ -1&2&-1&-1\\ 2&-1&-1&-1 \end {array} \right] .$$ $$A^{-1}= -\frac{1}{3}\left[ \begin {array}{cccc} -1&-1&-1&2\\ -1&-1&2&-1 \\ -1&2&-1&-1\\ 2&-1&-1&-1 \end {array} \right].$$
The matrix is given by $A... |
Paul's Online Math Notes
[Notes]
Calculus I - Notes
Derivatives Previous Chapter Next Chapter Integrals Optimization Previous Section Next Section L'Hospital's Rule and Indeterminate Forms
## More Optimization Problems
Because these notes are also being presented on the web we’ve broken the optimization examples up ... |
# Logarithmic Functions
A population of 50 flies is expected to double every week, leading to a function of the form f(x) = 50(2)x , where x represents the number of weeks that have passed. When will this population reach 500? Trying to solve this problem leads to:
500 = 50(2)x Dividing both sides by 50 to is... |
You need to rent a video camera for your school project. Murphy’s Camera charges a \$30 rental fee plus \$35 per day. Allied Rental charges a
Question
You need to rent a video camera for your school project. Murphy’s Camera charges a \$30 rental fee plus \$35 per day. Allied Rental charges a \$45 rental fee plus \$30... |
# How do you simplify 21 - 1 times 2 ÷ 4 using order of operations?
Nov 23, 2015
20.5
#### Explanation:
What you need to remember when solving this is the following:
you start by looking if there are any parenthesis, because you need to solve whatever is between the parenthesis before doing anything else. Inside t... |
# Operations with Numbers and Properties of Operations
Please provide a rating, it takes seconds and helps us to keep this resource free for all to use
In addition to the revision notes for Operations with Numbers and Properties of Operations on this page, you can also access the following Arithmetic learning resourc... |
Proof that the Square Root of 2 is Irrational
# Proof that the Square Root of 2 is Irrational
We've looked at the operations of addition and multiplication over the field of real numbers. One next might question is how $\sqrt{2} \approx 1.4142...$ might arise with only these two operations since at best we can only f... |
8.8: Triangle Classification
Difficulty Level: Basic Created by: CK-12
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# tan(pi-x) Formula | Simplify tan(x-π)
The tan(π-x) formula is given by tan(π-x)= -tanx. The formula of tan(pi-θ) is equal to tan(π-θ)= -tanθ. In this post, we will learn how to compute tan(pi-x) and tan(θ-pi).
Note that
• tan(π-x)= -tanx or, tan(π-θ)= -tanθ
• tan(x-π)= tanx or, tan(θ-π)= tan θ.
## Proof of tan(pi... |
# Mathematics Review
#### Chapter index in this window — — Chapter index in separate window
This web page provides a review of the mathematical concepts you will apply in this course.
### Fractions and Percentages %
Fractions are a part of every-day life and they are also used in science. A fraction with the same... |
# What is 10 raise to the power 20?
## What is 10 raise to the power 20?
10 to the 20th power is 1020 which is 1 followed by 20 zeroes.
## How do you calculate 10 to the power of?
Understand that the exponent is the amount of times that you multiply 10 by itself.
1. For example: 103 = 1000 because 10 x 10 x 10 = 1... |
$$\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]{\| #1 \|}$$ $$... |
# Question Video: Finding the Vector Form of the Equation of the Plane given Its Normal Vector Equation Mathematics
Find the vector form of the equation of the plane that has normal vector 𝐧 = 𝐢 + 𝐣 + 𝐤 and contains the point (2, 6, 6).
02:35
### Video Transcript
Find the vector form of the equation of the plan... |
# Question Video: Evaluating Combinations Using Their Properties Mathematics • 12th Grade
Evaluate ยนโตโท๐ถโโ
โ + โตยน๐ถโ.
03:16
### Video Transcript
Evaluate 157 choose 157 plus 51 choose one.
Now, to help us solve this problem, we actually have a general form. And that is ๐ choose ๐ is equal ... |
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# Find two numbers whose sum is 27 and product is 182.
Last updated date: 04th Aug 2024
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Hint: We will form two equations with two unknowns using the given information. We will obtain a... |
### Directed Line Segment, Location, Coordinate Plane, Partitions, Point M, Ratio
The key terms of this Maths chapter include Directed Line Segment, Ratio, Fountain, Coordinate Plane, Location, Endpoints, Partitions, Point M, Coordinates, Nearest Tenth, X- and Y- Coordinates of Point, Point P, Number Line, Midpoint – ... |
# Factor Theorem
In algebraic math, the factor theorem is a theorem that establishes a relationship between factors and zeros of a polynomial. The Factor theorem is a unique case consideration of the polynomial remainder theorem. Thus the factor theorem states that a polynomial has a factor if and only if: The polyno... |
Hence, zero of polynomial q(x) is 7/2. (iii) Now, adjust the given polynomial in such a way that it becomes the product of two factors, one of them is a linear polynomial and other is a quadratic polynomial. (ii) Every polynomial is a Binomial. (D) Not defined = 2x(x – 5) + 3(x – 5) = (2x + 3)(x – 5) (b) Given, p(x) = ... |
# Question Video: Simplifying Numerical Expressions Using the Properties of Square Roots Mathematics • 10th Grade
Simplify 12√5 + 3√5.
01:17
### Video Transcript
Simplify 12 square root five plus three square root five.
In order to add square roots, the number inside of the root must be exactly the same as the oth... |
# Difference between revisions of "2005 AIME I Problems/Problem 4"
## Problem
The director of a marching band asks the band members to line up in rows of four, but one is left over. Then she tries to line them up in rows of six, but three are left over. Finally, she tries to line them up in rows of seven, but four ar... |
# Similar Figures
Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.
This common ratio is called the scale factor .
The symbol $\sim$ ... |
# 30-60-90 Triangle: 4 Facts to Remember for Your Next Test
By: Mitch Ryan |
Anyone who's ever faced mind-numbing trigonometry problems and practice questions will be familiar with the Pythagorean Theorem and its square root principles in the 30-60-90 triangle. This special triangle has several short-cut rules to he... |
# How do you solve 8x^2 - 6x + 1 = 0 using the quadratic formula?
Jan 8, 2017
First, we "play with multipliers of $8$ (1x8, 2x4, 4x2 8x1) and 1 to factor and then solve each term for $0$:
$8 {x}^{2} - 6 x + 1 = 0$
$\left(4 x - 1\right) \left(2 x - 1\right) = 0$
Now we solve each term of the factored quadratic for ... |
# How do I solve 0.001 = "10,000,000"/y?
Apr 11, 2017
$y$ = 10,000,000,000
#### Explanation:
Since y is at the bottom of the fraction, it can switch place with the 0.001.
$y$ = $\frac{10 , 000 , 000}{0.001}$
$y$ = 10,000,000,000
Apr 11, 2017
Convert the numbers to powers of 10, and use the exponent laws: ${10}^... |
# Vector Calculus
```16
Vector Calculus
16.1
Ve tor Fields
This chapter is concerned with applying calculus in the context of vector fields. A
two-dimensional vector field is a function f that maps each point (x, y) in R2 to a twodimensional vector hu, vi, and similarly a three-dimensional vector field maps (x, y, z) ... |
# Colorado - Grade 1 - Math - Geometry - Partitioning Into Equal Shares - 1.G.3
### Description
Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or f... |
# Theorems on Straight Lines and Plane
Here we will discuss about the theorems on straight lines and plane using step-by-step explanation on how to proof the theorem.
Theorem: If a straight line is perpendicular to each of two intersecting straight lines at their point of intersection, it is also perpendicular to the... |
Derive the Trigonometric Identities (Complex Plane)
This example demonstrates how to derive the trigonometric identities using the geometry of the complex plane. This is a very elegant way to derive trigonometric identities, but it requires an understanding of complex numbers and Euler’s Formula.
Background
Given an... |
Challenge #1 Solution
Read on for the solution to Challenge #1… but give it a try first if you haven’t already!
So let’s find a value for that strange infinite beast from Challenge #1, which is known as an infinite continued fraction.
We’ll start by using a time-tested problem solving technique: NAME AND CONQUER. (I... |
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# Graphing inequalities (x-y plane) review
We graph inequalities like we graph equations but with ... |
One tool that can be used is Quadratic congruence solver. We can help me with math work.
## The Best Quadratic congruence solver
There is Quadratic congruence solver that can make the technique much easier. R is a useful tool for solving for radius. Think of it like a ruler. If someone is standing in front of you, yo... |
# Factors of 578: Prime Factorization, Methods, and Examples
578 is an even composite number which implies it has more than 2 factors. The factors of 577 are the numbers that follow the divisibility rule. The divisibility rules say that one number is divisible by the other if the remainder we get on their division is ... |
# If a^2 - 6b^2 - ab = 0, what is value of b/a ?
Aug 14, 2018
$- \frac{1}{2} , \mathmr{and} , \frac{1}{3}$.
#### Explanation:
Given that, ${a}^{2} - 6 {b}^{2} - a b = 0$.
$\therefore 6 {b}^{2} + a b - {a}^{2} = 0$.
$\therefore \underline{6 {b}^{2} + 3 a b} - \underline{2 a b - {a}^{2}} = 0$.
$\therefore 3 b \lef... |
# Casework
In combinatorics, casework is a counting method where one splits a problem into several parts, counts these cases individually, then adds together each part's total. Casework is a very general problem-solving approach, and as such has wide applicability.
## Examples
Here are some examples of problems that... |
# Solve the Bernoulli Differential equations. xy′ - y = xy^5
Solve the Bernoulli Differential equations. $xy\prime -y=x{y}^{5}$
You can still ask an expert for help
• Questions are typically answered in as fast as 30 minutes
Solve your problem for the price of one coffee
• Math expert for every subject
• Pay only i... |
# Problem of the Week
## Updated at Oct 28, 2013 9:02 AM
How can we solve for the derivative of $$\frac{\sin{x}}{\cos^{2}x}$$?
Below is the solution.
$\frac{d}{dx} \frac{\sin{x}}{\cos^{2}x}$
1 Use Quotient Rule to find the derivative of $$\frac{\sin{x}}{\cos^{2}x}$$. The quotient rule states that $$(\frac{f}{g})'... |
# 180 Days of Math for Fifth Grade Day 102 Answers Key
By accessing our 180 Days of Math for Fifth Grade Answers Key Day 102 regularly, students can get better problem-solving skills.
## 180 Days of Math for Fifth Grade Answers Key Day 102
Directions: Solve each problem.
Question 1.
Subtract 48 from 96.
48
Explana... |
# How to Explain Ratios
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Share It
People often explain ratios as comparisons between two things. It is a statement that shows how one item compares to another. Ratios are written in several different ways, including as fractions. They are also written with the word β... |
Smartick is a fun way to learn math!
Aug05
# Adding and Subtracting Decimal Numbers Using Money as an Example
To put the addition and subtraction of decimal numbers into practice with money, it is essential to have previous knowledge about decimals and their representation with money. Once we have mastered this know... |
## 1. Linear equation
A linear equation has the following form :
In $(1)$, $a_i$ are called the coefficients and $x_i$ are called the variables (also called unknowns).
#### Example I
$(2)$ is a linear equation.
#### Example II
$(3)$ is not a linear equation.
## 2. Linear system
A linear system (also called syst... |
# Similar Shape Problems
In this worksheet, students solve problems involving similar shapes where the scale factor is known or can be found.
Key stage: KS 2
Curriculum topic: Maths and Numerical Reasoning
Curriculum subtopic: 2D Shapes: Triangles, Quadrilaterals and Polygons
Difficulty level:
### QUESTION 1... |
# Algebraic Expressions and Identities
### 9.1 What are Expressions?
In earlier classes, we have already become familiar with what algebraic expressions (or simply expressions) are. Examples of expressions are:
x + 3, 2y – 5, 3x2, 4xy + 7 etc.
You can form many more expressions. As you know expressions are formed f... |
##### Integration by Parts
Integration by parts method is used when we want to integrate the product of two functions. When finding the derivative of the product of two functions we use the product rule, and since the integral is the reverse of derivative then integration by parts is the reverse of the product rule.
... |
# 4.11 Chapter 4 Example Solutions
## 4.2 Example Solutions
### Example 1: Factoring the Greatest Common Factor
1. First, find the GCF of the expression. The GCF of 6, 45, and 21 is 3. The GCF of $x^3$, $x^2$, and $x$ is $x$. (Note that the GCF of a set of expressions in the form $x^n$ will always be the exponent of... |
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# Solve the following inequality:${{\log }_{2x}}({{x}^{2}}-5x+6)<1$
Last updated date: 06th Aug 2024
Total views: 456k
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Hint: We should take care about logarithm inequalities by taking consideration of the ... |
# Math Insight
### Introduction to probability distributions
Math 2241, Spring 2022
Name:
ID #:
Due date: April 6, 2022, 11:59 p.m.
Table/group #:
Group members:
Total points: 1
1. When you flip a fair coin, the two possible outcomes, heads ($H$) or tails ($T$), have equal probability.
$P(H) =$
$P(T) =$
1. If an exp... |
# What Is The Square Root Of A Complex Number? (2 Methods To Solve)
We know how to find the square root of a real number, but what about the square root of a complex number or an imaginary number? As it turns out, we can do it, but there is a little more to it.
So, what is the square root of a complex number? The sq... |
# Find asymptotically equivalent function for $\ln \binom{n^2}{2n}$
How can I find an asymptotically equivalent function for $$\ln \binom{n^2}{2n}$$?
I think I need to use the definition of the binomial coefficient and Stirling's approximation, but I'm not sure what to do after this.
• Where did you get to after usi... |
# 9.5: Classifying Polygons
Difficulty Level: At Grade Created by: CK-12
## Introduction
The Sculpture
Courtesy of Martin Fuchs
Marc, Isaac and Isabelle continue to work on their design for the skatepark. Isabelle loves art and thinks that adding some sculpture to the entrance of the skatepark could be cool way to... |
# Factoring out quotient of an expression.
I am following the MIT Open Courseware on Single Variable Calculus and in the first lesson when taking the derivative of a simple function I found myself confused because of my knowledge gap in factoring expressions. I'm confused on this particular step.
$$\frac{\delta F}{\d... |
# WHICH X SATISFIES AN EQUATION
## About "Which x satisfies an equation"
Which x satisfies an equation :
A solution to an equation is a value of a variable that makes the equation true.
How to check which x satisfies an equation :
• Apply the first value instead of x in the given equation.
• If the applied value s... |
# What are equilateral, scalene, isosceles and right-angled triangles?
Children learn to classify triangles as equilateral, isosceles, scalene or right-angled in KS2 geometry. Our guide for parents explains everything you need to know about triangles in primary school, from working out the area to calculating the inte... |
# NCERT Solutions for Chapter 14 Statistics Class 9 Maths
Chapter Name NCERT Solutions for Chapter 14 Statistics Class Class 9 Topics Covered Statistics and its LimitationsData, its types and its CharacteristicsFrequency of dataMean, Median and Mode Related Study Materials NCERT Solutions for Class 9 MathsNCERT Solut... |
# Partial Derivatives
A Partial Derivative is a derivative where we hold some variables constant. Like in this example:
### Example: a function for a surface that depends on two variables x and y
When we find the slope in the x direction (while keeping y fixed) we have found a partial derivative.
Or we can find the... |
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# What are the zeroes of the polynomial $x\left( x-2 \right)\left( x+3 \right)$?
Last updated date: 04th Aug 2024
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Hint: In this question, we are given a polynomial $x\left( x-2 \right)... |
# How do you find a unit vector that is perpendicular to both the vector u = 0,2,1 and v = 1, -1, 1?
Sep 15, 2016
$\pm \frac{1}{\sqrt{14}} \left(3 , 1 , - 2\right)$, for opposite directions.
#### Explanation:
If vector $u = \left({u}_{1} , {u}_{2} , {u}_{3}\right) \mathmr{and} v = \left({v}_{1} , {v}_{2} , {v}_{3}\... |
# MA.7.DP.1.4
Use proportional reasoning to construct, display and interpret data in circle graphs.
### Clarifications
Clarification 1: Data is limited to no more than 6 categories.
General Information
Subject Area: Mathematics (B.E.S.T.)
Strand: Data Analysis and Probability
Status: State Board Approved
## Benchma... |
# How do you differentiate f(x)=tan((1/cos(7x))^2) using the chain rule?
Nov 10, 2015
$\frac{\mathrm{dy}}{\mathrm{dx}} = 14 {\sec}^{2} \left({\sec}^{2} \left(7 x\right)\right) \tan \left(7 x\right) {\sec}^{2} \left(7 x\right)$
#### Explanation:
Okay, so, we have
$y = \tan \left({\sec}^{2} \left(7 x\right)\right)$
... |
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### Course: Integrated math 2>Unit 11
Lesson 8: Inscribed shapes problem solving
Example showing ... |
# Mastering the Conversion: Understanding Microcoulombs to Coulombs
In the realm of electrical engineering, understanding the conversion from microcoulombs to coulombs is paramount. The concept of charge is fundamental to this discipline, and comprehending how to convert between these units is essential for accurate c... |
# Solve for: f(x)=2sqrt(x)
## Expression: $f\left( x \right)=2\sqrt{ x }$
Substitute $y$ for $f\left( x \right)$ into the equation
$y=2\sqrt{ x }$
Take the natural logarithm of both sides of the equation
$\ln\left({y}\right)=\ln\left({2\sqrt{ x }}\right)$
Simplify the expression
$\ln\left({y}\right)=\ln\left({2}... |
## Problem 298
Problem 298
Study the following diagram:
i. Characteristics of addition that are different from multiplication
ii. Characteristics that are common to both operations
iii. Characteristics of multiplication that are different from addition
a. Complete the diagram to illustrate how the characteristics... |
# 2(4d +4)=d +1I'm trying help my daughter with her math... this is the last one im stuck on. Please help.
samhouston | Certified Educator
Begin by using the Distributive Property on the left side.
2(4d + 4) = d + 1
8d + 8 = d + 1
Next subtract d from both sides.
7d + 8 = 1
Next, subtract 8 from both sides.
7d... |
# Laboratory: Numeric Values
Summary: We explore some of the kinds of numbers and procedures that many implementations of Scheme, including Racket, support.
## Exercises
### Exercise 1: Checking Answers
a. Determine what type DrRacket gives for the square root of two, computed by (sqrt 2). Is it exact or inexact? R... |
# How to solve for x as an exponent
It’s important to keep them in mind when trying to figure out How to solve for x as an exponent. We can solve math word problems.
## How can we solve for x as an exponent
Do you need help with your math homework? Are you struggling to understand concepts How to solve for x as an e... |
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# The circumcentre of the triangle with vertices (0, 0), (3, 0) and (0, 4) is?(a) (1, 1)(b) $\left( 2,\dfrac{3}{2} \right)$ (c) $\left( \dfrac{3}{2},2 \right)$ (d) None of these
Last updated date: 16th Sep 2024
Total views: 440.1k
Views today: 8.... |
1 is what percent of 85?
(1 is 1.17647 percent of 85)
1 is 1.17647 percent of 85. Explanation: What does 1 percent or 1% mean?
Percent (%) is an abbreviation for the Latin “per centum”, which means per hundred or for every hundred. So, 1% means 1 out of every 100.
Methods to calculate "1 is what percent of 85" with... |
# Question Video: Finding the Solution Set of Quadratic Equations Involving Proportion Mathematics • 7th Grade
Given that π¦/π§ = π§/π = π/π = 4/11, determine the solution set of the equation π¦π₯Β² β 2π§π₯ + π = 0.
03:57
### Video Transcript
Given that π¦ over π§ equals π§ over π... |
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$... |
# Order of magnitude Physics
In physics, we come across quantities that vary over a wide range. For example, we deal with both massive planetary objects like planets and galaxies, as well as very microscopic particles like the nucleus of an atom.
No matter how massive or small a physical quantity is, we need magnitude... |
# this is what u do on your first problem....first u take out the greatest common factor that would go into all of them...
4n^2-20n+24...now what number will go into all of them...well 4 will...4 will go into 4,20,and 24...so.
it would be like this..4(n^2-5n+6)...then theirs one more step...4(n-2)(n-3)
4x^2-22x+10 wo... |
# Common Core: 6th Grade Math : Make Tables of Equivalent Ratios, Find Missing Values, and Plot Values on a Coordinate Plane: CCSS.Math.Content.6.RP.A.3a
## Example Questions
### Example Question #31 : Grade 6
At a local microchip factory, there are managers for every workers. How many managers are needed for wor... |
# Leetcode – Two Sum IV – Input is a BST Solution in Python
## Introduction
Binary Search Trees (BSTs) are a widely-used data structure in computer science. They allow efficient storage, retrieval, and deletion of data in a sorted manner. In this article, we are going to delve into solving the “Two Sum IV – Input is ... |
# A woman wants to construct a box with a base length that is twice the base width. The material to build the top and bottom is \$9/meter squared, and the material to build the sides is \$6/meter squared. If the woman wants the box to have a volume of 70 meters cubed, determine the dimensions of the box that will minim... |
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