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Formatted question description: https://leetcode.ca/all/1871.html
# 1871. Jump Game VII
Medium
## Description
You are given a 0-indexed binary string s and two integers minJump and maxJump. In the beginning, you are standing at index 0, which is equal to '0'. You can move from index i to index j if the following co... | HuggingFaceTB/finemath | |
## Intermediate Algebra for College Students (7th Edition)
$22$
Need to calculate the value of $n$ or n-terms. In order to this, we have formula $a_n=a_1+(n-1)d$ Thus, $-83=1+(n-1)(-3-1)$ or, $-83=1-4(n-1)$ or, $-4n=-88$ This implies $n=22$, that is, n-terms $=22$ | HuggingFaceTB/finemath | |
# Question: What Is The Definition Of Theorem In Math?
## What is definition of theorem?
In mathematics and logic, a theorem is a non-self-evident statement that has been proven to be true, either on the basis of generally accepted statements such as axioms or on the basis of previously established statements such as... | HuggingFaceTB/finemath | |
# Worksheet On Addition And Subtraction Of Binary Numbers
Worksheet On Addition And Subtraction Of Binary Numbers. Subtracting 2 from this result places a new result of 1 in the current column and sends a carry to the next column. Binary addition is one of the binary operations.
Follow the binary addition rules to ad... | HuggingFaceTB/finemath | |
# Year 9 Maths Chapter 6 - Indices and surds
## Index notation
``````3 x 3 x 3 x 3 x 3 x 3 x 3 = 3⁷
``````
## Scientific notation
science!
``````a x 10ᵐ
where m is an integer
and 1 <= a < 10
``````
## Prime factorisation
Writing a number as a product of its prime factors.
``````108 = 2 x 2 x 3 x 3 x 3
= 2² x 3³... | HuggingFaceTB/finemath | |
# Indefinite Integral Calculator
## More Calculators ##### Integral Calculator ##### Definite Integral Calculator ##### Indefinite Integral Calculator ##### Improper Integral Calculator ##### Integration by Partial Fractions Calculator ##### Integration By Parts Calculator ##### Laplace Transform Calculator ##### Four... | HuggingFaceTB/finemath | |
# Question #88dab
Mar 24, 2017
The magnetic field wil halved.
#### Explanation:
At the center of the loop, the magnetic field is given by
$B = \frac{{\mu}_{o} I}{2 r}$
Where
the radius $= r$
and the diameter is $d = 2 r$
So,
$B = \frac{{\mu}_{o} I}{d}$
If we double $d$, that is
$D = 2 d$
Then,
${B}_{1} = ... | HuggingFaceTB/finemath | |
Mathematics
# Integrate $\displaystyle\int \dfrac{x^3-1}{x^2}$
##### SOLUTION
$\int { \cfrac { { x }^{ 3 }-1 }{ { x }^{ 2 } } } =\int { x-{ x }^{ -2 } }$
$=\int { x } -\int { { x }^{ -2 } }$
$=\cfrac { { x }^{ 2 } }{ 2 } -\cfrac { x-1 }{ -1 }$
$=\cfrac { { x }^{ 2 } }{ 2 } +\cfrac { 1 }{ x }$
Its FREE, you're just o... | HuggingFaceTB/finemath | |
RES.8-005 | Fall 2012 | Undergraduate
Vibrations and Waves Problem Solving
Problem Solving Videos
Driven Harmonic Oscillators
In this session we first give advice on how, in general, one approaches the solving of “physics problems.” We then consider three very different oscillating systems, show how in each the equ... | HuggingFaceTB/finemath | |
Whatever we have calculated so far are the moment of inertia of those objects when the axis is passing through their centre of masses (Icm). Where d is the distance between the two axes. A generic expression of the inertia equation is. This happens because more mass is distributed farther from the axis of rotation. Con... | open-web-math/open-web-math | |
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Grade: 11
` A train starts from rest and moves with constant ac... | HuggingFaceTB/finemath | |
# 14 5/89 as a decimal
Here you will see step by step solution to convert 14 5/89 mix number fraction into decimal. 14 5/89 as a decimal is 14.05618. Please check the explanation that how to write 14 5/89 as a decimal.
## Answer: 14 5/89 as a decimal is
= 14.05618
### How to convert 14 5/89 mix number in a decimal ... | HuggingFaceTB/finemath | |
Chapters
## Exercise 1
Calculate the volume (in cubic centimeters) of a prism that is 5 m long, 40 cm wide and 2500 mm high.
## Exercise 2
A swimming pool is 8 m long, 6 m wide and 1.5 m deep. The water resistant paint needed for the pool costs 300 per m², what is the total cost of the restoration?
## Exercise 10
... | HuggingFaceTB/finemath | |
Jump to content
# HannahG
Members
13
## About HannahG
• Birthday 11/12/1995
10
1. ## Diffraction of light in my bedroom
Like some others, I personally cannot sleep unless it is completely dark in my bedroom. However with the placement of my bed in a dark area of my room, I'm surprised to find that I cannot slee... | HuggingFaceTB/finemath | |
# Lesson 2
Representing Proportional Relationships
### Lesson Narrative
The purpose of this lesson is for students to understand that there are many successful ways to set up and scale axes in order to graph a proportional relationship. Sometimes, however, we choose specific ranges for the axes in order to see speci... | HuggingFaceTB/finemath | |
# ACT Math: Reviewing Law of Cosines & Law of Sines
Many students prefer the Math section of the ACT to that of the SAT because they view it as being more straightforward with questions that more closely resemble what they might see on a test in school. This, however, is not the only difference between the two tests;... | HuggingFaceTB/finemath | |
You are on page 1of 18
# Chapter 2 – Two Dimensional Transformation
CHAPTER 2
TWO-DIMENSIONAL TRANSFORMATION
2.1 Introduction
As stated earlier, Computer Aided Design consists of three components, namely, Design
(Geometric Modeling), Analysis (FEA, etc), and Visualization (Computer Graphics).
Geometric Modeling pro... | HuggingFaceTB/finemath | |
If [2−1]=[P−1], then P =
# If $\left[\begin{array}{cc}1& 3\\ 0& 1\end{array}\right]\left[\begin{array}{c}2\\ -1\end{array}\right]=\left[\begin{array}{c}P\\ -1\end{array}\right]$, then P =
1. A
0
2. B
–1
3. C
2
4. D
1
Fill Out the Form for Expert Academic Guidance!l
+91
Live ClassesBooksTest SeriesSelf Learn... | HuggingFaceTB/finemath | |
## EAN-13 Check digit example error?
topics related to linear barcode formats such as Code 39, Code128, Interleaved 2 of 5 (ITF25), UCC/EAN-128, UPC-A, UPC-E, EAN-13, EAN-8, GS1 Databar etc.
### EAN-13 Check digit example error?
Trying to understand the check digit calc for EAN-13 I notice the examples sheet on the ... | HuggingFaceTB/finemath | |
0
# How would you write a number sentence and solve this problem There are 4 209 participants in the race 2928 are girls the rest are boys How many boys are competing?
Updated: 9/25/2023
Wiki User
7y ago
Let b be the number of boys, then:
girls + boys = total
→ 2928 +b = 4209
This is your number sentence, which... | HuggingFaceTB/finemath | |
Musings on the HP-70
12-29-2023, 10:35 AM (This post was last modified: 12-30-2023 08:47 AM by Thomas Klemm.)
Post: #1
Thomas Klemm Senior Member Posts: 2,071 Joined: Dec 2013
Musings on the HP-70
Fibonacci Sequence
Initialisation
DSP 0
CLR
STO M
1
Loop
M+
x<>y
Result
0.
1.
1.
2.
3.
5.
8.
13.
21.
34.
Explanati... | HuggingFaceTB/finemath | |
# How to solve symbolic and trigonometric equations simultaneous, two unknowns
2 views (last 30 days)
christina widyaningtyas on 30 Jul 2022
I still try to solve this equation to obtain alpha and gamma
R = (0.034 0.097 0.049 0.08 0.33 0.12 1.08)
d is in degrees (144 115 119 80 69 52 59)
I tried this code, and substitu... | HuggingFaceTB/finemath | |
St Vitus, St Modestus and St Crescentia (c. 300)
St Germaine Cousin (1601)
In this article, I will derive the first sounds in the Universe based on the Cosmic Microwave Background (CMB) which is so to speak the earliest picture of our Universe.
From Figure 1. we can see that frequencies in Hertz might be assigned t... | HuggingFaceTB/finemath | |
# Work done by string, friction, pulling mass up an inclined plane
1. Mar 15, 2011
### revere21
1. The problem statement, all variables and given/known data
A block of mass 1.60 kg is pulled up a rough 30 degree incline at constant speed by a string parallel to the surface. The friction force on the block is 7.00 N.... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Reduce 1350/36 to lowest terms
The simplest form of 1350/36 is 75/2.
#### Steps to simplifying fractions
1. Find the GCD (or HCF) of numerator and denominator
GCD of 1350 and 36 is 18
2. Divide both the numerator and denominator by the GCD
1350 ÷ 18/36 ÷ 18
3. Reduced fractio... | HuggingFaceTB/finemath | |
# Frictional Force & Normal forces
• onyxorca
## Homework Statement
A car (m = 1840 kg) is parked on a road that rises 18.7 ° above the horizontal. What are the magnitudes of (a) the normal force and (b) the static frictional force that the ground exerts on the tires?
F=ma Fg=mg Ff=uN
## The Attempt at a Solution
... | HuggingFaceTB/finemath | |
Search a number
627 = 31119
BaseRepresentation
bin1001110011
3212020
421303
510002
62523
71554
oct1163
9766
10627
11520
12443
13393
1432b
152bc
hex273
• 627 can be written using four 4's:
627 has 8 divisors (see below), whose sum is σ = 960. Its totient is φ = 360.
The previous prime is 619. The next prime is 631. T... | HuggingFaceTB/finemath | |
# Is there a quick proof as to why the vector space of $\mathbb{R}$ over $\mathbb{Q}$ is infinite-dimensional?
It would seem that one way of proving this would be to show the existence of non-algebraic numbers. Is there a simpler way to show this?
• A finite dimensional vector space over $\mathbb{Q}$ is countable. – ... | HuggingFaceTB/finemath | |
Cody
# Problem 1072. Television Screen Dimensions
Solution 496840
Submitted on 6 Sep 2014 by Pritesh Shah
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 Output
1 Pass
%% [W,H]=teledims(2.4,1,46); assert(H == 17... | HuggingFaceTB/finemath | |
# Is zero an even number? To answer this question, we first need to define what “even” means. All even numbers can be expressed in the algebraic form 2n, where n is any whole number, positive, negative or zero (i.e. n is an integer). Thus 0 = 2 x 0, 2 = 2 x 1, 4 = 2 x 2, and so on. All odd numbers can be expressed in t... | HuggingFaceTB/finemath | |
# Percentages and Proportions
Given two integer variables $x$ and $y$. We are given that each integer variable $x$ and $y$ can't be greater than a given integer $z$.
The problem: We are given the proportions $a$ and $b$ such that $a + b = 1$, $a = \frac x z$, and $b = \frac y z$. Is it possible to reverse solve $x$ a... | open-web-math/open-web-math | |
Eigenvalues of AB and BA
Consider a square matrix consisting of four blocks:
${\bf A} = \begin{bmatrix} {\bf I}_{k\times k} & {\bf 0}_{k \times (n-k)} \\ {\bf X}_{(n-k)\times k} & {\bf I}_{(n-k)\times (n-k)} \end{bmatrix} ,$
where X is (n-k)-by-k rectangular matrix, I are square identity matrices, and 0 is the ractan... | HuggingFaceTB/finemath | |
# Product of complex numbers
Let $z_1,z_2,\cdots,z_n$ be some complex numbers. If $z_1z_2\cdots z_n$ is real and negative, is it true that $r(z_1)r(z_2)\cdots r(z_n)$ is also negative? Here $r(z)$ represents the real part of $z$.
-
Hah, another case of three people thinking up the most obvious counterexample and post... | HuggingFaceTB/finemath | |
# Answers
Solutions by everydaycalculation.com
## Subtract 3/8 from 28/42
28/42 - 3/8 is 7/24.
#### Steps for subtracting fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 42 and 8 is 168
2. For the 1st fraction, since 42 × 4 = 168,
28/42 = 28 × 4/42 × 4 = 112/168
3. Likewise, f... | HuggingFaceTB/finemath | |
# Conformal Equivalance of Sets in $\mathbb C$
Are these sets conformally equivalent, That is, is there a conformal bijection between them. $S_1=\{z\in\mathbb C\mid0<|z|<1\}$ and $S_2=\{z\in \mathbb C\mid1<|z|<2\}$?
The only thing that I could find is a theorem of (F.H. Schottky, 1877) see here (the first search resu... | HuggingFaceTB/finemath | |
# Lesson 8 - Scattering Kinematics
## Importance of scattering kinematics
In this lesson, we will be considering the kinematics of collisions between particles and targets. The term kinematics refers to the study of the physical consequences of a given collision without regard to the probability of its happening. T... | HuggingFaceTB/finemath | |
An Interesting Ramsey Theory Riddle
Common Topics: people, party, know, mister, friends
Ramsey theory has its origins in a very nice riddle
Consider a party of 6 people. Any two of these 6 will either be meeting each other for the first time (in which case they are strangers), or they will know each other (in which ... | HuggingFaceTB/finemath | |
## Sunday, July 5, 2015
### Spherical Geometry (Legendre 462-468)
I hope that everyone enjoyed the Fourth of July weekend. But now it's time to get back to Legendre and his description of spherical geometry.
462. The sum of the sides of any spherical polygon is less than the circumference of a great circle.
Demonst... | HuggingFaceTB/finemath | |
## 2 cm = 32 cm B Find the perimeter of the rectangle whose 1. length – 3 cm, breadth – 2 cm 2. length = 4 cm, breadth
Question
2 cm
= 32 cm
B
Find the perimeter of the rectangle whose
1. length – 3 cm, breadth – 2 cm
2. length = 4 cm, breadth
3. length – 5 cm, breadth – 3 cm
4. length = 7 cm, breadth = 3 cm
5. lengt... | HuggingFaceTB/finemath | |
# Approximation
• May 20th 2010, 02:42 PM
truevein
Approximation
Hi, I have some problems with approximation.I'll be glad if you could help.We just learnt basics.I can't solve this kind of questions.
App.(2.9)³
2x^4 + 5x³ - 7x ^2 +8x -3 X= 1.03
How accurately must the edge of a cube be measured so that the volume w... | HuggingFaceTB/finemath | |
# Free Quant quiz for IBPS PO & IBPS CLERK : Part – 6 ## Free Quant Quiz for IBPS PO & IBPS CLERK : Part – 6
In this quiz we will be discussing 10 questions based on the concept of approximation and quadratic equations and are important from bank exams point of view. Try attempting these questions:
Free Quant quiz fo... | HuggingFaceTB/finemath | |
# 25.5 kg to lbs - 25.5 kilograms to pounds
Before we move on to the practice - this is 25.5 kg how much lbs calculation - we will tell you few theoretical information about these two units - kilograms and pounds. So let’s move on.
How to convert 25.5 kg to lbs? 25.5 kilograms it is equal 56.217876810 pounds, so 25.5... | HuggingFaceTB/finemath | |
Top
Chemical kinetics, involving the study of rate of a reaction and rate law, is a very important part of physical chemistry. A knowledge of free energy changes involved in a given process tells us whether the process will occur or not. But to decide the speed of a reaction, we need the help of chemical kinetics and ... | open-web-math/open-web-math | |
# 1 Introduction
This tutorial focuses on how to describe and summarize data (see e.g. Bickel and Lehmann 2012; Thompson 2009). This tutorial is aimed at beginners and intermediate users of R with the aim of showcasing how to summarize data using R. The aim is not to provide a fully-fledged analysis but rather to show... | HuggingFaceTB/finemath | |
## Thinking Mathematically (6th Edition)
Published by Pearson
# Chapter 3 - Logic - 3.6 Negations of Conditional Statements and De Morgan's Law - Exercise Set 3.6 - Page 179: 57
#### Answer
(a) Consider the provided statement “Homicide reduces life expectancy by 74 days or fire does not reduce life expectancy by 25... | open-web-math/open-web-math | |
# What is 92 Milligrams in Metric Tons?
## Convert 92 Milligrams to Metric Tons
To calculate 92 Milligrams to the corresponding value in Metric Tons, multiply the quantity in Milligrams by 1.0E-9 (conversion factor). In this case we should multiply 92 Milligrams by 1.0E-9 to get the equivalent result in Metric Tons:
... | HuggingFaceTB/finemath | |
Main
Since the beginning of external beam radiotherapy (RT), accelerator research and development has constantly advanced RT technology for the treatment of cancer patients1. Here translational research streamlines the transition to specialized radiation sources and dose application systems for improved patient care2.... | open-web-math/open-web-math | |
# Transitivity of Algebraic Field Extensions (explicit)
Transitivity of Algebraic Field Extensions
Here we get a proof of Transitivity of Algebraic Field Extensions. But can we find explicitly a polynomial $p(x)$ with coefficients from $F$ such that $p(\alpha) = 0$, where $\alpha \in K$.
$\newcommand{\Q}{\mathbb{Q}}... | HuggingFaceTB/finemath | |
# lec_6 - 6-1 6 Linear Differential Equations of the Second...
This preview shows pages 1–4. Sign up to view the full content.
September 15, 2010 6-1 6. Linear Differential Equations of the Second Order A differential equation of the form L ( y ) = g is called linear if L is a linear operator and g = g ( t ) is conti... | HuggingFaceTB/finemath | |
# when constructing a perpendicular bisector why must the arcs intersect
Hi there! Do you know “when constructing a perpendicular bisector why must the arcs intersect” ? If not, we are going to answer it on negarinfo .
Be with us to the end 🌻
## When constructing an angle bisector, why must the arcs intersect?
The... | HuggingFaceTB/finemath | |
## Example Questions
← Previous 1 3 4 5 6
### Example Question #1 : How To Simplify Square Roots
Simplify
÷ √3
3
3√3
not possible
none of these
2
3√3
Explanation:
in order to simplify a square root on the bottom, multiply top and bottom by the root ### Example Question #1 : How To Simplify Square Roots
Sim... | HuggingFaceTB/finemath | |
# Knights Knaves and Spies
There are inhabitants of an island on which there are three kinds of people:
Knights who always tell the truth Knaves who always lie Spies who can either lie or tell the truth. You encounter three people, A, B, and C.
You know one of these people is a knight, one is a knave, and one is a s... | HuggingFaceTB/finemath | |
{[ promptMessage ]}
Bookmark it
{[ promptMessage ]}
Lect11
# Lect11 - Chapter 3 Vector Spaces Math1111 Subspaces...
This preview shows pages 1–6. Sign up to view the full content.
Chapter 3. Vector Spaces Math1111 Subspaces Motivation Example . Let S = ( x 1 x 2 ) T : x 1 = 2 x 2 } ⊂ R 2 . Endow S with the additi... | HuggingFaceTB/finemath | |
Next: Specialized Data Structures Up: Fundamental Data Types Previous: Binary Search Trees
## Priority Queues
Many algorithms process items according to a particular order. For example, suppose you have to schedule a list of jobs given the deadline by which each job must be performed or else its importance relative t... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Reduce 6075/4725 to lowest terms
The simplest form of 6075/4725 is 9/7.
#### Steps to simplifying fractions
1. Find the GCD (or HCF) of numerator and denominator
GCD of 6075 and 4725 is 675
2. Divide both the numerator and denominator by the GCD
6075 ÷ 675/4725 ÷ 675
3. Reduc... | HuggingFaceTB/finemath | |
Q:
# What is Ohm's law in electromagnetic theory?
A:
Ohm's law describes the relationship between current, resistance, and voltage between two points. The law states that V=I*R, where V is voltage, I is current, and R is resistance. Current is measured in amperes, voltage is measured in volts, and resistance is meas... | HuggingFaceTB/finemath | |
Finding Area
Insert
Site: TBAISD Moodle Course: Michigan Geometry Preview 2012 Book: Finding Area Printed by: Guest user Date: Wednesday, July 17, 2019, 10:42 AM
Area of a Triangle
One formula for finding the area of a triangle, as stated in an earlier unit, is one-half of the base times the height or Area = . In ... | HuggingFaceTB/finemath | |
## Wednesday, April 18, 2007
### Yay for Cuisenaire Rods
I sent a version of this to the Miquon e-mail list this morning, and I thought it could go on the blog as well.
People often want to know how to use Cuisenaire rods, and the main thing they think of is putting them together to add. If their kids don't want or ... | HuggingFaceTB/finemath | |
The OEIS is supported by the many generous donors to the OEIS Foundation.
Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A329978 Beatty sequence for log x, where 1/x + 1/(log x) = 1. 3
1, 2, 4, 5, 6, 8, 9, 10, 12, 13, 14, 16, 17, 18, 20, 21, 22, 24, 25, 26, 28, 29, 31, 32, 33, 35, 36, 37, 39,... | HuggingFaceTB/finemath | |
# how to calculate decay constant
The values match my earlier calculations. Johanna. Decay constant definition, the reciprocal of the decay time. Ages calculated with the currently accepted value need revision and will become older by 2%. Rate of Decay Formula Questions: 1. This constant probability may vary greatly b... | HuggingFaceTB/finemath | |
## 38.41 Blowing up perfect modules
This section tries to find normal forms for perfect modules of tor dimension $\leq 1$ after blowups. We are only partially successful.
Lemma 38.41.1. Let $X$ be a scheme. Let $\mathcal{F}$ be a perfect $\mathcal{O}_ X$-module of tor dimension $\leq 1$. For any blowup $b : X' \to X$... | open-web-math/open-web-math | |
# hw5 - tunnel is 10 psia(a Is the tunnel ²ow subsonic of...
This preview shows page 1. Sign up to view the full content.
MAE135 Homework No. 5 Spring 2010 Date assigned: Tuesday, April 27, 2010 Due date: 5:00 pm, Tuesday, May 4, 2010 PROBLEM 1 (10 points) p 01 =300 kPa p a = 100 kPa T 01 =300 K 1 2 Combustion chambe... | HuggingFaceTB/finemath | |
# Benford's law
A separate article exists for Benford's law of controversy.
Benford's law, also called the first-digit law, states that in lists of numbers from many real-life sources of data, the leading digit 1 occurs much more often than the others (namely about 30% of the time). Furthermore, the higher the digit,... | HuggingFaceTB/finemath | |
# Can anyone help me with this Trig Identity double angle question?
• Dec 26th 2010, 10:26 PM
solarflare
Can anyone help me with this Trig Identity double angle question?
Hi guys I am having real difficulty cracking this tri identity.
square root 2 sin (theta- pi/4) = sin theta - cos theta
I have attempted it ever s... | HuggingFaceTB/finemath | |
# What are other unexpected results of integration?
I have integral of $\dfrac{1}{t^2 + 1}$ and integral of $\dfrac{t}{t^2 + 1}$ whose output is $\arctan(t)$ and $\dfrac12\ln(t^2 + 1)$ respectively.
Are there any similar unexpected results when we take integral? A link to such list would be enough for me. I'm asking ... | HuggingFaceTB/finemath | |
Home My Page Projects Code Snippets Project Openings SML/NJ
Summary Activity Forums Tracker Lists Tasks Docs Surveys News SCM Files
# SCM Repository
[smlnj] View of /papers/modulespaper/design/principles.tex
[smlnj] / papers / modulespaper / design / principles.tex
# View of /papers/modulespaper/design/principles.... | open-web-math/open-web-math | |
# Word metric
In group theory, a branch of mathematics, a word metric on a group $G$ is a way to measure distance between any two elements of $G$ . As the name suggests, the word metric is a metric on $G$ , assigning to any two elements $g$ , $h$ of $G$ a distance $d(g,h)$ that measures how efficiently their differenc... | HuggingFaceTB/finemath | |
# What is 307% of 120?
## 307 percent of 120 is equal to 368.4
%
307% of 120 equal to 368.4
Calculation steps:
( 307 ÷ 100 ) x 120 = 368.4
### Calculate 307 Percent of 120?
• F
Formula
(307 ÷ 100) x 120 = 368.4
• 1
Percent to decimal
307% to decimal is 307 ÷ 100 = 3.07
• 2
Multiply decimal with the other ... | HuggingFaceTB/finemath | |
Blog Entries: 6
## Why the black hole density is called the infinite density.
Quote by alexg Peter, a minor point, almost a diversion, but doesn't the Shell Theorem state that the gravity inside the earth remains the same until you reach the center? While there is more mass above you, you are closer to the rest of t... | HuggingFaceTB/finemath | |
$\sqrt{2^{4}}+\sqrt[3]{64}+\sqrt[4]{2^{8}}$ is equal to :
[A]12
[B]16
[C]18
[D]24
12
$\sqrt{2^{4}}+\sqrt[3]{64}+\sqrt[4]{2^{8}}$
$= 2^{4\times \frac{1}{2}}+4^{3\times \frac{1}{3}}+2^{8\times \frac{1}{4}}$
$= 2^{2}+4+2^{2}$
$= 4+4+4 = 12$
Hence option [A] is correct answer. | HuggingFaceTB/finemath | |
# Note values
Note values are often explained using a diagram called a “note tree”. My chart here is similar in reasoning but shows notes placed as they would be in music.
However, to emphasize the math behind the symbols, I make a circle with my hand for a whole note, add the index finger of my other hand for a half ... | HuggingFaceTB/finemath | |
## Modigliani-Modigliani Measure Solution
STEP 0: Pre-Calculation Summary
Formula Used
Modigliani-Modigliani measure = Return on Adjusted Portfolio-Return on Market Portfolio
M2 = Rap-Rmkt
This formula uses 3 Variables
Variables Used
Modigliani-Modigliani measure - Modigliani-Modigliani measure, also known as the M2 m... | HuggingFaceTB/finemath | |
NCERT Solutions for Class 11 Physics chapter 10 – Mechanical Properties of Fluids – Free PDF download
Hey, are you a class 11 student and looking for ways to download NCERT Solutions for Class 11 Physics chapter 10 “Mechanical Properties of Fluids”? If yes. Then read this post till the end.
In this article, we have li... | open-web-math/open-web-math | |
# 75447 in Binary
What is 75447 in binary? Below we show you the result of the decimal to binary conversion straightaway. If you want to know how to convert 75447 to binary please read the instructions on the homepage.
Binary 75447 = 100100110101101112
The binary for 75447 is 10010011010110111
As any other integer, ... | HuggingFaceTB/finemath | |
Suggested languages for you:
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# Sine and Cosine Rules
We can extend the ideas from trigonometry and the triangle rules for right-angled triangles to non-right angled triangles. We'll look at the two rules called the sine and cosine rules. We can use these rules to find unknown angles or lengths ... | HuggingFaceTB/finemath | |
# NCERT Solutions for Class 7 Science Chapter 13 Motion and Time
NCERT Solutions for CBSE Class 7 Science Chapter 13 Motion and Time are given below. These solutions help students to clear their doubts and to obtain good marks in final exam. Class 7 Science NCERT questions and answers provided in this article are stri... | HuggingFaceTB/finemath | |
Expressing Roman Numerals to Hindu-Arabic System and vice-versa
The Roman Numeral System is an old numeration system that we still used today, you can find some on buildings, clocks and books. I will outline the approach I used in dealing with converting Roman numerals to Hindu-Arabic system and from Hindu-Arabic nume... | HuggingFaceTB/finemath | |
# I got 3 questions!
1. Suppose that f(a)=g(a) and the left-hand derivative of f at a equals the right-hand derivative of g at a. Define h(x)=f(x) for x<=a, and h(x)=g(x) for x>=a. Prove that h is differentiable at a.
2. Let 0<B<1. Prove that if f satisfies /f(x)/ >= /x/^B and f(0)=0, then f is not differentiable at ... | HuggingFaceTB/finemath | |
# What is an Addition Table? Definition and Table
What is an addition table? An addition table is a way of showing the sum of adding any number from the list of first ten whole numbers or {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10} to the same list {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10}
Since each list has 11 numbers, the... | HuggingFaceTB/finemath | |
Phone Numbers and E-Mail Addresses
Most data that we deal with are strings or numbers or booleans and combinations of these into classes and collections. Dates can be expressed as string or number, but have enough specific logic to be seen as a fourth group of data. All these have interesting aspects, some of which ha... | open-web-math/open-web-math | |
If you're reading this guide now, you've probably dealt with functions in great detail already, so I'll just include some brief highlights you'll need to get started with calculus. Much of this should be review, so feel free to skip sections you feel comfortable with.
Definition of a Function
A function is a rule tha... | HuggingFaceTB/finemath | |
# 6.16: Scales that Represent Earthquake Magnitude
Difficulty Level: At Grade Created by: CK-12
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Practice Scales that Represent Earthquake Magnitude
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# Answers
Solutions by everydaycalculation.com
## Multiply 50/60 with 30/63
This multiplication involving fractions can also be rephrased as "What is 50/60 of 30/63?"
50/60 × 30/63 is 25/63.
#### Steps for multiplying fractions
1. Simply multiply the numerators and denominators separately:
2. 50/60 × 30/63 = 50 ×... | HuggingFaceTB/finemath | |
# 1022272 (number)
1,022,272 (one million twenty-two thousand two hundred seventy-two) is an even seven-digits composite number following 1022271 and preceding 1022273. In scientific notation, it is written as 1.022272 × 106. The sum of its digits is 16. It has a total of 7 prime factors and 14 positive divisors. Ther... | HuggingFaceTB/finemath | |
👉 Try now NerdPal! Our new math app on iOS and Android
# Find the derivative $\frac{d}{dx}\left(9x^4\ln\left(x^4\right)+\ln\left(x\right)^5\right)$ using the sum rule
Go!
Symbolic mode
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## Algebra 2 (1st Edition)
$c=-0.5i$ does belong to the Mandelbrot set.
Let $f (z)= z ^2 +(-0.5i)$ $z_0=0$ $|z_0|=0$ $z_1=f(0)=0^2+(-0.5i)=-0.5i$ $|z_1|=\frac{1}{2}$ $z_2=f(-0.5i)=(0.5i)^2+(-0.5i)=-0.25-0.5i$ $|z_2|=\frac{\sqrt 5}{4}$ $z_3=f(-0.25-0.5i)=(-0.25-0.5i)^2+(-0.5i)=-\frac{3}{16}-0.25i$ $|z_3|=\frac{5}{16}$ ... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from liters to tablespoons is 67.62804511761, which means that 1 liter is equal to 67.62804511761 tablespoons:
1 L = 67.62804511761 tbsp
To convert 698 liters into tablespoons we have to multiply 698 by the conversion factor in order to get the volume amount from liters to... | HuggingFaceTB/finemath | |
Section15.1Exponentiation in Groups
Recall that $$\cdot:\Z \times \Z \to \Z$$ (multiplication) is a binary operation on the set $$\Z$$ of integers. We defined exponentiation as repeated multiplication. For $$a\in\Z$$ and $$n\in\N$$ we introduced the notation
\begin{equation*} a^n := \underbrace{a \cdot a \cdot \ldots... | HuggingFaceTB/finemath | |
Is 4148 a prime number? What are the divisors of 4148?
## Parity of 4 148
4 148 is an even number, because it is evenly divisible by 2: 4 148 / 2 = 2 074.
Find out more:
## Is 4 148 a perfect square number?
A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is th... | HuggingFaceTB/finemath | |
# Rotating plane to be parallel to given normal via change of basis
I have two planes and their respective normals. I would like to rotate the second plane, planeB, so that it is parallel to the first, planeA.
To do this, I am using a change of basis to rotate each vector of planeB. To create the new axes, I do the f... | HuggingFaceTB/finemath | |
This figure represents a flower box.
How much soil will it take to fill the flower box?
__in3
5 (4 stars)
4
maheshpatelvVT 2 years ago
331 response - 0 helps
The 2200 cubic inches the soil will take to fill the flower box.
It is given that the picture shows a figure with dimensions in inches.
It is required to fin... | HuggingFaceTB/finemath | |
## The Math I Learned After I Thought Had Already Learned Math
True story: it’s possible to fly through your own secondary math education – honor roll bumper sticker on your mom’s minivan and all – but miss some of the Very Big Ideas of secondary math.
For one example: in our last post on simplifying rational express... | HuggingFaceTB/finemath | |
Back to Content Overview
Lesson Lesson Name Strand Content Outcome
101 Counting 100-500 Number Counting Read and write numbers to 500. Count to 500 using base-ten numerals, number names, and expanded form. Know three-digit numbers represent amounts of hundreds, tens, and ones. Add 1, 10 or 100 to a given number 100-90... | HuggingFaceTB/finemath | |
# Math Help - proof for Stirling numbers of the first kind
1. ## proof for Stirling numbers of the first kind
Show that if p is an odd prime, then $\begin{Bmatrix}p\\ p-1\end{Bmatrix}$ is a multiple of p.
I tried to do this using recursion, but I failed to do so because I couldn't complete the
"if hypotheses is true... | open-web-math/open-web-math | |
# Check if the XOR of an array of integers is Even or Odd
Given an array arr containing integers of size N, the task is to check if the XOR of this array is even or odd
Examples:
Input: arr[] = { 2, 4, 7}
Output: Odd
Explanation:
XOR of array = 2 ^ 4 ^ 7 = 1, which is odd
Input: arr[] = { 3, 9, 12, 13, 15 }
Output:... | HuggingFaceTB/finemath | |
# The HPSUMMARY Procedure
### Statistical Computations
Subsections:
#### Computation of Moment Statistics
PROC HPSUMMARY uses single-pass algorithms to compute the moment statistics (such as mean, variance, skewness, and kurtosis). See the section Keywords and Formulas for the statistical formulas.
The computation... | HuggingFaceTB/finemath | |
# In 800 g of a solution of 507 salt. How much salt is in 720 g of the same solution?
To solve this problem, we introduce a conditional variable “X”, through which we denote the number of grams of salt in a solution weighing 720 grams.
Then, based on the data of the problem, we will compose the following proportion: ... | HuggingFaceTB/finemath | |
# What is the center and radius of the circle x^2 + y^2 - 6x + 10y + 9 = 0. The equation x^2 + y^2 - 6x + 10y + 9 = 0 has to be expressed in the form (x-a)^2 + (y-b)^2 = r^2
x^2 + y^2 - 6x + 10y + 9 = 0
=> x^2 - 6x + 9 + y^2 + 10y + 25 = -9 + 9 + 25
=> (x - 3)^2 + (y + 5)^2 = 5^2
The center of the circle represente... | HuggingFaceTB/finemath | |
Ideal Gases
Contents
Problems
Problem : 3.0 moles of gas at 300 K and 1.0 atm have a volume of 15 smoots. What is R in ?
Rearrange PV = nRT to solve for R : = R . Plug in the values of P , V , n , and T to solve for R . R = 0.017 .
Problem : A sample of gas at 1.0 atm and 298 K has a volume of 8.7 L. How much gas... | HuggingFaceTB/finemath | |
# Power Series¶
Sage provides an implementation of dense and sparse power series over any Sage base ring. This is the base class of the implementations of univariate and multivariate power series ring elements in Sage (see also Power Series Methods, Multivariate Power Series.).
AUTHORS:
• William Stein
• David Harve... | HuggingFaceTB/finemath |
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