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### Home > CC2 > Chapter 4 > Lesson 4.2.1 > Problem4-32
4-32.
Copy and complete each of the Diamond Problems below. The pattern used in the Diamond Problems is shown at right. 1. Divide $6$ by $-1$.
$6\div\left(-1\right)=-6$
Add $-6$ to $-1$.
$(-6)+(-1)=-7$ 1. $3+?=-5$
1. $1.2+?=11.2$
1. What two numbers multipl... | HuggingFaceTB/finemath | |
# Chapter Four - ws.binghamton.edu Chapter Four Continuous Random Variables & Probability Distributions Continuous Probability Distribution (pdf) Definition: b
P(a X b) = f(x)dx a For continuous RV X & a b. Two Conditions for a pdf: 1) f(x) 0 for all x +
2) f(x)dx = 1 - Cumulative Distribution Function Definition: a ... | HuggingFaceTB/finemath | |
# How many congruent diagonals does a kite have?
## How many congruent diagonals does a kite have?
Kite houses come with (1) two pairs of consecutive, congruent aspects, (2) congruent non-vertex angles and (3) perpendicular diagonals. Other vital polygon houses to be conversant in include trapezoid houses, parallelog... | HuggingFaceTB/finemath | |
# 10th CBSE math solution for exercise 2.2 part 1
This page 10th CBSE math solution for exercise 2.2 part 1is going to provide you solution for every problems that you find in the exercise no 2.2
## 10th CBSE math solution for exercise 2.2 part 1
(iii) 6 x² – 3 – 7 x
Solution:
Find let us find the zeroes of the qu... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from years to weeks is 52.142857142857, which means that 1 year is equal to 52.142857142857 weeks:
1 yr = 52.142857142857 wk
To convert 56.2 years into weeks we have to multiply 56.2 by the conversion factor in order to get the time amount from years to weeks. We can also ... | HuggingFaceTB/finemath | |
# Ordering with repeats
A quick question on list ordering, how can I easily get the ordering of the list, so that, for
{0, Sqrt[3], 2 Sqrt[3], Sqrt[3], 3, 2 Sqrt[3]}
I get
{1, 2, 4, 2, 3, 4}
Ordering does not seem to work.
Edit: Thank you for all the wonderful answers. What might be the best way to test which o... | HuggingFaceTB/finemath | |
## Order of Operations
The “Order of Operations” is a convention that ensures everyone interprets algebraic notation the same way. It is used in conjunction with the properties of each operation (addition, subtraction, multiplication, division, and exponentiation). I summarize the order of operations for myself as “do... | HuggingFaceTB/finemath | |
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# Describing patterns using rules and finding unknown terms
## 4.4 Describing patterns using rules and finding unknown terms
You have already seen that... | HuggingFaceTB/finemath | |
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### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest ... | HuggingFaceTB/finemath | |
```Question 164255
{{{(cross(x)(x-2)(2/cross(x))+x*cross((x-2))(1/cross((x-2))))/(x*cross((x-2))(1/cross((x-2)))-cross(x)(x-2)(3/cross(x)))}}} Multiply EVERY term by the LCD {{{x(x-2)}}} to clear out the inner denominators
{{{(2(x-2)+x)/(x-3(x-2))}}} Multiply and simplify
{{{(2x-4+x)/(x-3x+6)}}} Distribute
{{{(3x-4... | HuggingFaceTB/finemath | |
# Roots of a Cubic Polynomial with Elementary Symmetric Polynomial Coefficients
Let $R_n$ be a set of $n$ distinct nonzero rational numbers. Let $e_k$ be elementary symmetric polynomials over $R_n$---i.e. $e_0=1$, $e_1 = \sum_{1\le i\le n} r_i$, $e_2 = \sum_{1\le i<j\le n} r_i r_j$, etc.
For all $n>3$, does there exi... | HuggingFaceTB/finemath | |
# Polygon from a known side
## Presentation on theme: "Polygon from a known side"— Presentation transcript:
Polygon from a known side
Step 1. Draw a line equal to the length of one side. Step 2. Bisect the line and draw a perpendicular Step 3. From one side of the line draw a 600 line 6 sides Step 4. From the other s... | HuggingFaceTB/finemath | |
Convert complex number to polar coordinates
Problem
Compute when $$x \in \mathbb{C}$$: $$x^2-4ix-5-i=0$$ and express output in polar coordinates
Attempt to solve
Solving this equation with quadratic formula:
$$x=\frac{4i \pm \sqrt{(-4i)^2-4\cdot (-5-i)}}{2}$$ $$x= \frac{4i \pm \sqrt{4(i+1)}}{2}$$ $$x = \frac{4i \p... | HuggingFaceTB/finemath | |
# What is a matrix?
## What is a matrix?
What is a matrix? A matrix is a set of independent real numbers, where each row or column of any matrix contains the elements from the column vector. Matrixes are often used to represent functions and equations in the form of a series of functions, equations, or polynomials, w... | HuggingFaceTB/finemath | |
# ICSE Class 8 Maths Syllabus For 2023-24 (Revised)
The Indian Certificate of Secondary Education or ICSE is a private board for school education in India. Mathematics always remains a critical subject as students approach higher grades, especially grade 8. The ICSE maths syllabus for class 8 is designed to challenge ... | HuggingFaceTB/finemath | |
# Merge Two Sorted Lists
`Linked List`
Easy
Merge two sorted linked lists and return it as a new list. The new list should be made by splicing together the nodes of the first two lists.
Example:
``````Input: 1->2->4, 1->3->4
Output: 1->1->2->3->4->4
``````
## Solution
#### Iteration
Time complexity : O(n+m)
Sp... | HuggingFaceTB/finemath | |
# Let f,g be bilinear forms on a finite dimensional vector space. Show that there exist unique linear operators
Let f,g be bilinear forms on a finite dimensional vector space.
(a) Suppose g is non-degenerate. Show tha there exist unique linear operators T1, T2 on V such that f(a,b)=g(T1a,b)=g(a,T2b) for all a,b.
(b)... | HuggingFaceTB/finemath | |
# Real-Life Motion Map (Drop C)
39
1
Published
## Introduction: Real-Life Motion Map (Drop C)
Materials:
• 1.6 m of PVC pipe
• about 2 m of fishing line
• 10 Ping Pong Balls
• A roll of tape
• Scissors
• Meter stick/Ruler
Use graph for reference. - (link to graph for values of angle, velocities, etc.) https://ww... | HuggingFaceTB/finemath | |
# Quantitative Aptitude Questions Quiz with Explanation for SBI Clerk Pre 2020 and Download PDF Free at Smartkeeda
Directions : Read the following questions carefully and choose the right answer.
Important for :
1
The speed of a passenger train is 25% less than that of the express train. 4 hours after the passenger tr... | HuggingFaceTB/finemath | |
## Pages
### Transformation of Christoffel Symbol
We have the metric transformations between the two different coordinate systems as;
$$g_{\mu '\nu '}'=\frac{\partial x^{\mu}}{\partial y^{\mu '} }\frac{\partial x^{\nu}}{\partial y^{\nu '} }g_{\mu \nu}$$ We also know that the Christoffel symbol in terms of the metric... | open-web-math/open-web-math | |
Created By : awnish
Reviewed By : Rajashekhar Valipishetty
Last Updated : Apr 10, 2023
Compton Scattering Calculator is an online tool that determines the wavelength extension of scattered photons easily. Just need to enter mass of the particle, scattered angle details in the fields of the calculator and press the c... | HuggingFaceTB/finemath | |
Equation of line parallel to the line x−42=y+1−3=z+108and passing through the point −1,2,3is
# Equation of line parallel to the line $\frac{x-4}{2}=\frac{y+1}{-3}=\frac{z+10}{8}$and passing through the point $\left(-1,2,3\right)$is
1. A
$\frac{x-1}{2}=\frac{y-2}{-3}=\frac{z-3}{8}$
2. B
$\frac{x+1}{2}=\frac{y-2}{... | HuggingFaceTB/finemath | |
# Geometry Chapter 6 Resource Book Answers
Geometry Chapter 6 Resource Book Answers: A Comprehensive Guide
Geometry is an intriguing branch of mathematics that deals with the properties, measurements, and relationships of points, lines, angles, and shapes. Chapter 6 of the Geometry Resource Book delves into the world... | HuggingFaceTB/finemath | |
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### 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.
C... | HuggingFaceTB/finemath | |
# How do you simplify the expression (1/32)^(-2/5)?
Apr 20, 2016
${\left(\frac{1}{32}\right)}^{- \frac{2}{5}} = 4$
#### Explanation:
To make this easier to solve, there's a rule that helps: ${a}^{m n} = {\left({a}^{m}\right)}^{n}$, and what it basically says is that you can split up to the index/exponent (the small... | HuggingFaceTB/finemath | |
1. ## Chain Rule
Hi I am stuck on this problem. Can someone please explain. Thanks!
Let
Compute
_________
_________
2. Originally Posted by jffyx
Hi I am stuck on this problem. Can someone please explain. Thanks!
Let
Compute
_________
_________
Here's a hint: by the chain rule
$\frac {\partial w}{\partial s} = \fr... | HuggingFaceTB/finemath | |
## Physics lab report of Circuits Essay
Ohm’s law and how they are part of an operation of an electric circuit. Introduction: This experiment was done in two parts. The first part consisted of understanding how to determine the current, voltage and resistance as part of Ohm’s law. The second part consisted of how to u... | HuggingFaceTB/finemath | |
# Find then slope and y-intercept of the line. Graph the Anish Buchanan 2021-08-15 Answered
Find then slope and y-intercept of the line. Graph the line.
$$\displaystyle{5}{x}+{y}={5}$$
• Questions are typically answered in as fast as 30 minutes
### Plainmath recommends
• Get a detailed answer even on the hardest to... | HuggingFaceTB/finemath | |
## Area of a square is 144cm square .What is the side of square?
Question
Area of a square is 144cm square .What is the side of square?
in progress 0
2 months 2021-08-12T13:24:01+00:00 2 Answers 0 views 0
1. Step-by-step explanation:
Area of a square = 144cm
side = S × S
= S^2
Therefore side of a square =
= ... | HuggingFaceTB/finemath | |
## Algebra and Trigonometry 10th Edition
The number of zeros of the function is determined by the degree of the polynomial. The degree is the high value exponent of x. For example: y = x is a first degree since x has an exponent of 1. y = $x^{2}$ is a second degree polynomial since x has an exponent of 2. The number o... | HuggingFaceTB/finemath | |
## General Instructions
To do each example, just click the Submit button. You do not have to type in any R instructions or specify a dataset. That's already done for you.
## Theory
All of the confidence intervals on this page are second order correct (Efron and Tibshirani, Chapter 22, p. 325 and Section 22.6).
## B... | HuggingFaceTB/finemath | |
# Thread: Cos theta = -Sin theta
1. ## Cos theta = -Sin theta
For what angles theta B/T 0 & 360 does cos theta = -sin theta?
It's simple question, but I could not think of any angles that would make this statement true. Maybe I'm missing something...
2. Here's a hint -- there are two places between 0 and 360 degree... | HuggingFaceTB/finemath | |
# What is the compound interest on $84895 at 9% over 29 years? If you want to invest$84,895 over 29 years, and you expect it will earn 9.00% in annual interest, your investment will have grown to become $1,033,357.40. If you're on this page, you probably already know what compound interest is and how a sum of money can... | HuggingFaceTB/finemath | |
SA-MP Forums The "Real" vehicle speed thread
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29/07/2012, 05:54 PM #1 Sinner Gangsta Join Date: Aug 2010 Location: On This Mortal Coil Posts: 771 Reputation: 292 The "Real" vehicle speed thr... | HuggingFaceTB/finemath | |
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A088138 Generalized Gaussian Fibonacci integers. 15
0, 1, 2, 0, -8, -16, 0, 64, 128, 0, -512, -1024, 0, 4096, 8192, 0, -32768, -65536, 0, 262144, 524288, 0, -2097152, -4194304, 0, 167772... | HuggingFaceTB/finemath | |
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Time Limit: 1000MS Memory Limit: 10000K Total Submissions: 542 A... | HuggingFaceTB/finemath | |
# A rectangle 4
A rectangle has area 300 and perimeter 80. what is the ratio of the length and width?
r = 3:1
### Step-by-step explanation:
Our quadratic equation calculator calculates it.
Did you find an error or inaccuracy? Feel free to write us. Thank you!
Tips to related online calculators
Looking for help w... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from milliliters to fluid ounces is 0.033814022558919, which means that 1 milliliter is equal to 0.033814022558919 fluid ounces:
1 ml = 0.033814022558919 fl oz
To convert 354 milliliters into fluid ounces we have to multiply 354 by the conversion factor in order to get the... | HuggingFaceTB/finemath | |
SEARCH HOME
Math Central Quandaries & Queries
Question from a student: A steel pipe is taken to a 9ft wide corridor. At the end of the corridor there is a 90° turn, to a 6ft wide corridor. How long is the longest pipe than can be turned in this corner?
Hello.
Two important things are clear from the question: the he... | HuggingFaceTB/finemath | |
## College Algebra 7th Edition
$x=4.8704\approx 4.87$
$2.14(x-4.06)=2.27-0.11x$ We distribute: $2.14x-8.6684=2.27-0.11x$ And combine $x$ terms: $2.25x=10.9584$ And solve for $x$: $x=4.8704\approx 4.87$ | HuggingFaceTB/finemath | |
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A: 4a + 5(b – 2) = 4a + 5b - 10
Original conversation
Weegy: 4a + 5(b – 2) = 4a + 5b - 10
lechatelier|Points 66|
Weegy: Solution : 8(3a + 2b – 5c) = 24a + 16b - 40c
Weegy: Solution : 14xy^3 – 22xy^3 + 5xy^3 by combining like terms 14xy^3 – 22xy^3 + 5xy^3 = -3xy^3
User... | HuggingFaceTB/finemath | |
# Demand and Utility. Diminishing Marginal Utility: The more you have of a good, the less an additional unit of the good is worth to you.
## Presentation on theme: "Demand and Utility. Diminishing Marginal Utility: The more you have of a good, the less an additional unit of the good is worth to you."— Presentation tr... | HuggingFaceTB/finemath | |
Convergence Test
# Convergence Test
The series can be compared to an integral to establish convergence or divergence. I The ratio test for power series. Series Convergence and. Convergence insufficiency is usually diagnosed in school-age children and adolescents. Then the improper integrals of f and g with the same l... | open-web-math/open-web-math | |
Friday, February 23, 2024
HomeMathGiant Quantity | Studying a Giant Quantity | Writing a Giant Numbers
# Giant Quantity | Studying a Giant Quantity | Writing a Giant Numbers
Right here we are going to focus on tips on how to learn and write massive numbers.
Studying a big quantity:
So as of studying a big quantity,... | HuggingFaceTB/finemath | |
It is currently 19 Oct 2017, 04:13
### 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.
Customized
for You
we will pick new questions that match your level based o... | HuggingFaceTB/finemath | |
# What forces are in equilibrium?
If an object is at equilibrium, then the forces are balanced. Balanced is the key word that is used to describe equilibrium situations. Thus, the net force is zero and the acceleration is 0 m/s/s. Objects at equilibrium must have an acceleration of 0 m/s/s.
## What is equilibrium lev... | HuggingFaceTB/finemath | |
# Break-even Analysis
An enterprise, whether or not a profit maximizer, often finds it useful to know what price (or output level) must be for total revenue just equal total cost. This can be done with a breakeven analysis. Strictly speaking, this analysis is to determine the minimum level of output that allows the fi... | HuggingFaceTB/finemath | |
# Number Guessing (Part 1)
I thought up two positive integers with product less than $$500$$. I told their product to Penny, and their sum to Sandy, and told both of them the constraints and they are both perfect logicians.
They have the conversation below:
Penny: I don't know what the numbers are, but their sum mus... | HuggingFaceTB/finemath | |
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# 1.8 Combinations of Functions: Composite Functions The composition of the functions f and g is “f composed by g of x equals f of g of x”
## Presentation on theme: "1.8 Combinations of Functions: Composite Functions The composition of the functions f and g is “f composed by g of... | HuggingFaceTB/finemath | |
Question 781db
Mar 19, 2015
The second piece of material has a mass of 34 kg.
The volume of a cylinder is given by the formula
V = πr^2h, where $r$ is the radius of the cylinder and $h$ is its height.
Since both cylinders have the same length, the ratio of their volumes is
V_2/V_1 = (πr_2^2h)/(πr_1^2h) =(r_2/r_1)... | HuggingFaceTB/finemath | |
# SOLUTIONS FOR HOMEWORK 6: NUMBER THEORY
1. Suppose a, b, c ∈ Z.
(a) Show that if a|b and c ≠ 0, then ca|cb.
If a|b, then ax = b for some x ∈ Z, so cax = cb so (ca)x = (cb) i.e. ca|cb.
(b) Show that if a|b and b|c, then a|c.
If ax = b and by = c with x, y ∈ Z, then (ax)y = c = a(xy) so a|c since xy ∈ Z.
(c) Show... | HuggingFaceTB/finemath | |
I don’t understand work done without any acceleration. Since F=ma and a=0, F=0 a…
I don’t understand work done without any acceleration. Since F=ma and a=0, F=0 and thus W=0.
You are merging two equations out of context. The force you exert on an object can be non-zero without causing that object to accelerate. For e... | HuggingFaceTB/finemath | |
# Matrix usage
Hi,
I’m confused with matrices, and I can’t figure how to use them.
Example:
I have a point (x=10, y=10).
I want to apply a translation to this point. I want it to move 10 to the right.
I tried:
``````
ofMatrix4x4 m;
m.translate(10, 0, 0);
ofVec3f v(10, 10, 0);
v = m * v;
cout << "x = " << v.x << end... | HuggingFaceTB/finemath | |
# How do you solve for k in (1/2)^(10/k) = 0.8?
May 26, 2016
$k = 31.06$
#### Explanation:
${\left(\frac{1}{2}\right)}^{\frac{10}{k}} = 0.8 = \frac{4}{5}$. Now taking log on both sides
$\left(\frac{10}{k}\right) \log \left(\frac{1}{2}\right) = \log \left(\frac{4}{5}\right)$ or
$\left(\frac{10}{k}\right) = \log \f... | HuggingFaceTB/finemath | |
# P3 Revision Sheet ```P3 REVISION – CHAPTER 1 – MEDICAL APPLICATIONS OF PHYSICS
X-rays:
Explain what an x-ray is:
Describe some of the safety issues
with X-rays:
Ultrasound:
Describe how an ultrasound works: Explain how an ultrasound can be
used to measure distance:
Describe what a CT scanner is:
Lenses:
Describe how ... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Reduce 8380/2159 to lowest terms
8380/2159 is already in the simplest form. It can be written as 3.881427 in decimal form (rounded to 6 decimal places).
#### Steps to simplifying fractions
1. Find the GCD (or HCF) of numerator and denominator
GCD of 8380 and 2159 is 1
2. Divi... | HuggingFaceTB/finemath | |
Resources tagged with: Place value
Filter by: Content type:
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Broad Topics > The Number System and Place Value > Place value
Football Sum
Age 11 to 14 Challenge Level:
Find the values of the nine letters in the sum: FOOT + BALL = GAME
Two and Two
Age 11 to 16 Chall... | HuggingFaceTB/finemath | |
# Fraction Matcher
Aceste simulări nu au fost încă traduse în limba română . Puteți accesa simularea, din meniul de mai jos, în limba engleză.
Descarcă Include Închide Include o copie functională a simulării Folosiţi acest cod sursă pentru a include o simulare. Puteţi mofifica dimensiunile prin modificarea parametri... | HuggingFaceTB/finemath | |
# What should i do to prove that the line y=2x-10 is tangent to circle x^2-4x+y^2+2y=0?
justaguide | Certified Educator
To prove that y = 2x - 10 is tangent to the circle we find the center and radius of the circle and show that the distance of the center from the line is equal to the radius.
The circle: x^2 - 4x + ... | HuggingFaceTB/finemath | |
How to calculate area of sector
Then, square 5 to get 25 before multiplying it by 3. Our Company. That gives you the central angle of the sector. Drawing AP U.
Divide by 2. I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the l... | HuggingFaceTB/finemath | |
Chapter 4.1, Problem 72E
Calculus: Early Transcendental Fun...
7th Edition
Ron Larson + 1 other
ISBN: 9781337552516
Chapter
Section
Calculus: Early Transcendental Fun...
7th Edition
Ron Larson + 1 other
ISBN: 9781337552516
Textbook Problem
Lawn Sprinkler A lawn sprinkler is constructed in such a way that d θ / d ... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## 117 percent of what number is 45?
45 is 117% of 38.46
#### Steps to solve "45 is 117 percent of what number?"
1. We have, 117% × x = 45
2. or, 117/100 × x = 45
3. Multiplying both sides by 100 and dividing both sides by 117,
we have x = 45 × 100/117
4. x = 38.46
If you are u... | HuggingFaceTB/finemath | |
# Difference between Speed and Velocity
Speed and velocity are often used interchangeably in common conversation. However, in the physical sciences (and especially in physics), the two terms actually refer to specific and different forms of measurement. In particular, speed refers to the rate that an object changes it... | HuggingFaceTB/finemath | |
## 题目描述：
LeetCode 573. Squirrel Simulation
There's a tree, a squirrel, and several nuts. Positions are represented by the cells in a 2D grid. Your goal is to find the minimal distance for the squirrel to collect all the nuts and put them under the tree one by one. The squirrel can only take at most one nut at one tim... | HuggingFaceTB/finemath | |
# Finding a sequence of elementary matrices
So I have this matrix
A = $\begin{bmatrix}2 & 4\\1 & 1\end{bmatrix}$
I am tasked with finding all the elementary matrices such that Ek...E2E1A = I. Use this sequence to write both A and A-1 as products of elementary matrices/
I ended up getting four elementary matrices
E... | HuggingFaceTB/finemath | |
Q:
John has different types of stocks. He has the same number of Google stocks, trading at $4 a stock, Apple stocks, trading at$10 a stock and Toyota stocks trading at $3 a stock. If he has a total net worth of$1,207 in stocks, how many stocks does he have in total?
Accepted Solution
A:
$$4x + 10x + 3x = 1207 \\ 17... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from cubic meters to fluid ounces is 33814.022558919, which means that 1 cubic meter is equal to 33814.022558919 fluid ounces:
1 m3 = 33814.022558919 fl oz
To convert 238 cubic meters into fluid ounces we have to multiply 238 by the conversion factor in order to get the vo... | HuggingFaceTB/finemath | |
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# What is the formula for ridge beam?
What is the formula for ridge beam?
Determining the Ridge Beam Height For example, if the slope is 4 in 12, and the run is 12 feet, the ridge beam height (M) will be 4 feet. The finished ridge beam height (Z) above the top of the wall will be (M) plus the Y Height. The formulas a... | HuggingFaceTB/finemath | |
# Category Archives: Math Activities
### Go for a Springtime Math Nature Walk
Did you happen to notice the Google Doodle of Emmy Noether, a mathematician? Some of her work is based on nature’s patterns, so let’s take a math nature walk.
Spring is an ideal time to look for patterns in nature. Trees do not yet have th... | HuggingFaceTB/finemath | |
## Sunday, November 27, 2011
### The narrow way
Dear Director,
Apart from the obvious things, I must admit to unhelpful habits of thought, around those obvious things. There are the maxims that float around, of the form "such is the cure for sich" --- and so I fall to thinking at God things like "See? You have to gi... | open-web-math/open-web-math | |
# How to simplify $\frac{1}{3^{-2}}$ properly?
Saw how it was simplified and I was wondering what allows you to rewrite this as $3^2 = 9$?
• To the power of a negative number, is the same as taking the inverse. So $1/3=3^{-1}$ Aug 24, 2017 at 21:09
• And the inverse function is an involution which means the inverse o... | HuggingFaceTB/finemath | |
Lesson 2
When and Why Do We Write Quadratic Equations?
2.1: How Many Tickets? (5 minutes)
Warm-up
This warm-up activates what students know about interpreting equations in context and about solving for a variable. The given equation is linear and is relatively straightforward. The work prepares students to reason a... | HuggingFaceTB/finemath | |
# Circumference of a Circle
In Mathematics, the circumference of any shape defines the path or the boundary that surrounds the shape. In other words, the circumference is also called the perimeter, which helps to identify the length of the outline of any shape. As we know, the perimeter and area of circle are the two ... | HuggingFaceTB/finemath | |
# How to Use Excel PI Function?
Excel PI Function: The term PI (π) is a mathematical constant value. During our school days, we use many formulas with the PI value in Math and Physics. The approximate value of PI is 3.14159. This PI value is derived from the ratio of a circle’s circumference to its diameter. In decima... | HuggingFaceTB/finemath | |
GRE: Three Dimensional Figures (Uniform Solids)
Volume
The volume of a solid is the amount of space enclosed by the solid.
Surface area
In general, the surface area of a solid is equal to the sum of the areas of the solid’s faces.
Rectangular Solid
A solid with six rectangular faces ( all edges meet at right angl... | HuggingFaceTB/finemath | |
# Mass flow rate explained (kg/s)
What is mass flow rate and how to calculate mass flow rate
3 You will often see flow rates listed on engineering designs and specifications, these are usually measured in either
• Velocity flow rates ( usually m/s)
• Volume flow rates (usually L/s or m3/s or m3/h)
• Mass flow rate (... | HuggingFaceTB/finemath | |
# If $x+1$ is a factor of $2 x^{3}+a x^{2}+2 b x+1$, then find the values of $a$ and $b$ given that $2 a-3 b=4$.
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Given:
Given expre... | HuggingFaceTB/finemath | |
# What Does A Whole Number Look Like
Contents
## What Does A Whole Number Look Like?
In mathematics whole numbers are the basic counting numbers 0 1 2 3 4 5 6 … and so on. 17 99 267 8107 and 999999999 are examples of whole numbers. Whole numbers include natural numbers that begin from 1 onwards. Whole numbers includ... | HuggingFaceTB/finemath | |
How to obtain the equation of the projection/shadow of an ellipsoid into 2D plane?
Given an ellipsoid equation of the form $$$$\label{eq_1}x'Ax=1$$$$ where $$A\in\mathbb{R}^{n\times n}$$ is positive definite and non-diagonal and $$x\in\mathbb{R}^n$$. So, how can I obtain the projection or shadow of the ellipsoid into ... | HuggingFaceTB/finemath | |
# Fuzzy Logic
Overview The reasoning in fuzzy logic is similar to human reasoning. It allows for approximate values and inferences as well as incomplete or ambiguous data (fuzzy data) as opposed to only relying on crisp data (binary yes/no choices). Fuzzy logic is able to process incomplete data and provide approximat... | HuggingFaceTB/finemath | |
# 133675 (number)
133,675 (one hundred thirty-three thousand six hundred seventy-five) is an odd six-digits composite number following 133674 and preceding 133676. In scientific notation, it is written as 1.33675 × 105. The sum of its digits is 25. It has a total of 3 prime factors and 6 positive divisors. There are 1... | HuggingFaceTB/finemath | |
Category: Life
# what is the binary system in computers ?
Asked By: luobo1689 | Last Updated: 2022-05-16
what is the binary system in computers？
Computers use binary - the digits 0 and 1 - to store data. A binary digit, or bit , is the smallest unit of data in computing. It is represented by a 0 or a 1. Binary numb... | HuggingFaceTB/finemath | |
SOLUTION: 14-(-5x)+2z-(-32)+4z-2x
Algebra -> Algebra -> Equations -> SOLUTION: 14-(-5x)+2z-(-32)+4z-2x Log On
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Algebra: Equation... | HuggingFaceTB/finemath | |
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# How to calculate changes in solution concentrations
This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!
What is the concentration of sodium chloride after 30.0 mL of a 0.25 M solution of sodium chloride is diluted to 0.5L using purifi... | HuggingFaceTB/finemath | |
## Calculus (3rd Edition)
(a) The primary derivatives of $f$ are $$\frac{\partial f}{\partial x}=y, \frac{\partial f}{\partial y}=x.$$ (b) The independent variables are $u,v$.
(a) The primary derivatives of $f$ are the partial derivatives with respect to $x$ and $y$. We keep all other variables constant while deriving... | HuggingFaceTB/finemath | |
# Average and Instantaneous Rate of Change
A variable which can assign any value independently is called the independent variable, and the variable which depends on some independent variable is called the dependent variable.
For Example:
If $x = 0,1,2,3, \ldots$ etc, then
We see that as $x$ behaves independently, w... | HuggingFaceTB/finemath | |
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### 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 Dail... | HuggingFaceTB/finemath | |
# Portal:Statistics
## Welcome to the statistics portal
More probability density is found as one gets closer to the expected (mean) value in a normal distribution. Statistics used in standardized testing assessment are shown. The scales include standard deviations, cumulative percentages, Z-scores, and T-scores.
Sta... | HuggingFaceTB/finemath | |
# Stuck on basic limit problem: $\lim_{x \to 0} \frac{\sin(\tan x)}{\sin x}$
Consider $\lim_{x \to 0} \frac{\sin(\tan x)}{\sin x}$. The answer is $1$. This is clear intuitively since $\tan x ≈ x$ for small $x$. How do you show this rigorously? In general, it does not hold that $\lim_{x \to p} \frac{f(g(x))}{f(x)} = 1$... | HuggingFaceTB/finemath | |
# Rotated Spheroid
by InfernoSun
Tags: rotated, spheroid
P: 28 If I take a spheroid (slightly flattened sphere) with the following equation: x2/a2 + y2/b2 + z2/a2 - 1 = 0 and rotate it by arbitrary angles about the x-, y-, and z-axes, the new equation for the rotated spheroid is: Ax2 + By2 + Cz2 + Dxy + Exz + Fyz + G... | HuggingFaceTB/finemath | |
# Convert Kilonewton Per Linear Meter to Newton Per Linear Meter (kn/m to n/m)
In next fields, kindly type your value in the text box under title [ From: ] to convert from Kilonewton per linear meter to newton per linear meter (kn/m to n/m). As you type your value, the answer will be automatically calculated and displ... | HuggingFaceTB/finemath | |
# Maths Easy Basic Facts
Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderato... | HuggingFaceTB/finemath | |
# How much money was the last bet?
In The Gambler Jim Bennett places a huge amount on black:
The amount seems to be more money than he owed if he won, but he leaves declaring he is not a gambler and leaves the money to be split between Frank and Lee.
So how much money did he bet?
### His final bet was 400 000\$ and... | HuggingFaceTB/finemath | |
# Is this correct : fair game
1. Nov 24, 2005
### kleinwolf
Let suppose there are 2 opponents : A,B...for simplicity, Let suppose at each round A wins with prob. p, B with q..p,q, constant such that 0<p+q<1...
Then if A begins, $$p(A=win)=p+(1-p)(1-q)p+...=\frac{p}{p+q-pq}$$ where as :
$$p(B=win)=(1-p)q+(1-p)(1-q)... | HuggingFaceTB/finemath | |
Question 58
# Consider four natural numbers: x, y, x + y, and x - y. Two statements are provided below:I. All four numbers are prime numbers.II. The arithmetic mean of the numbers is greater than 4.Which of the following statements would be sufficient to determine the sum of the four numbers?
Solution
Natural number... | open-web-math/open-web-math | |
Metamath Proof Explorer < Previous Next > Nearby theorems Mirrors > Home > MPE Home > Th. List > ercpbl Structured version Visualization version GIF version
Theorem ercpbl 16834
Description: Translate the function compatibility relation to a quotient set. (Contributed by Mario Carneiro, 24-Feb-2015.) (R... | HuggingFaceTB/finemath | |
# C program for Cosine Series
Before going to the program for Cosine Series first let us understand what is a Cosine Series?
Cosine Series:
Cosine Series is a series which is used to find the value of Cos(x).
where, x is the angle in degree which is converted to Radian.
The formula used to express the Cos(x) as Co... | HuggingFaceTB/finemath | |
# What is the difference between convergence of a sequence and convergence of a series?
I'm preparing for my calculus exam and I'm unsure how to approach the question: "Explain the difference between convergence of a sequence and convergence of a series?"
I understand the following:
Let the sequence $a_n$ exist such... | HuggingFaceTB/finemath | |
## Presentation on theme: ""— Presentation transcript:
Finally a Formula for Derivative and Its Application
Can you see the pattern? And indeed, (Bring the exponent to the front as a coefficient, and reduce the exponent by 1, and use that as the new exponent.) This is our very first formula in derivatives without usin... | HuggingFaceTB/finemath |
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