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# Top response to: what do you call a system of linear equations with exactly one solution?
Contents
A system of linear equations with exactly one solution is called a consistent and independent system.
For further information, see below
A system of linear equations with exactly one solution is called a consistent ... | HuggingFaceTB/finemath | |
What is a partial differential equation?
What is a partial differential equation? The mathematics involves partial differential equations, which can be considered as generalizations of Dirac’s equation (see here for a concise translation of the mathematical terminology). In this article, the mathematician Tom Adams is... | HuggingFaceTB/finemath | |
# Reference Sheet ```New Jersey Assessment of Skills and Knowledge
MATHEMATICS REFERENCE SHEET
Use the information below to answer questions on the
Mathematics section of the Grade Eight Assessment of Skills and Knowledge (NJ ASK 8)
The sum of the measures of the interior angles of any n-sided polygon = (n – 2)180°... | HuggingFaceTB/finemath | |
512 identical drops of mercury are charged to a potential
Question:
512 identical drops of mercury are charged to a potential of $2 \mathrm{~V}$ each. The drops are joined to form a single drop. The potential of this drop is___ V.
Solution:
(128)
Let charge on each drop $=\mathrm{q}$
radius $=r$
$v=\frac{k q}{r}... | HuggingFaceTB/finemath | |
### Home > CC1MN > Chapter 3 Unit 3A > Lesson CC1: 3.1.3 > Problem3-50
3-50.
Use the Lesson 3.1.3B Resource Page to shade in the amounts represented by the following descriptions, and then write them in the stated form. 3-50 HW eTool (CPM) Homework Help ✎
1. Shade 7 hundredths, and write the portion as a percent.
... | HuggingFaceTB/finemath | |
+0
# help
0
78
2
A closed rectangular box has a surface area of 1000 square cm. The length of the box is twice its width and the height is six times its width. What is the volume of the box?
May 12, 2020
#1
-3
So the surface area of a rectangular prism is 2wh + 2wl + 2hl
l = 2w
h = 6w
w = w
So replacing all t... | HuggingFaceTB/finemath | |
# Laws of Exponents - Power Raised to a Power
13 teachers like this lesson
Print Lesson
## Objective
Students will be able to use conceptual approach to enable students to establish deep understanding of the properties of exponents that can be used to raise a power to a power. Conceptually understand exponents to ex... | HuggingFaceTB/finemath | |
Select Page
You were going to give us an example of a good problem.
Here is a good problem for students tackling percentages, and probability. The problem takes an hour or two…
This is an example of some cipher-text created from a Polybius Square. The Germans used a variant of this cipher in World War I.
AG DG ... | HuggingFaceTB/finemath | |
369 views
Let $f\left (x \right ) = \max\left \{5x, 52 – 2x^{2}\right \}$ , where $x$ is any positive real numbers. Then the minimum possible value of $f(x)$ is ________
Given that, $f(x) = \max \{ 5x, 52-2x^{2} \} \quad \longrightarrow (1)$
And, $x$ is a positive real number.
The minimum value occurs when both the ... | HuggingFaceTB/finemath | |
# Suppose that $1+2+…+n=\overline{aaa}$. Which of the following items CERTAINLY divides $n$? $5,6,7,8,11$
Suppose that $1+2+...+n=\overline{aaa}$. Which of the following items CERTAINLY divides $n$? $5,6,7,8,11$
I converted the given relation into the following: $$n(n+1)=2*3*37*a$$
Now I think we must consider all di... | HuggingFaceTB/finemath | |
Homework Help: Launch of a mass attached to rope with mass
1. Jun 6, 2010
benf.stokes
Vertical Launch of an Attached Mass
1. The problem statement, all variables and given/known data
A mass M attached to an end of a very long chain of mass per unit length $$\lambda$$
, is thrown vertically up with velocity $$v_{0}$... | HuggingFaceTB/finemath | |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
5.9: Possible Triangles with Side-Side-Angle
Difficulty Level: At Grade Created by: CK-12
Estimated7 minsto complete
%
Progress
Practice Possible Triangles with Side-Side-Angle
MEMORY M... | HuggingFaceTB/finemath | |
Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.
Also, How do I figure out the percentage of a number?
To find the percentage of a number when it is in decimal form, you just need to mu... | HuggingFaceTB/finemath | |
The difference of 2 positive numbers is 54. The quotient obtained on dividing the 1 by the other is | MathCelebrity Forum
# The difference of 2 positive numbers is 54. The quotient obtained on dividing the 1 by the other is
#### math_celebrity
Staff member
The difference of 2 positive numbers is 54. The quotient obt... | HuggingFaceTB/finemath | |
slides_optimalauction_saliency
# slides_optimalauction_saliency - Optimal Auctions We wish...
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View Full Document
This preview has intentionally blurred sections. Sign u... | HuggingFaceTB/finemath | |
# Find the distance between points C and D if the height of the tree is 4m
• MHB
• Elissa89
In summary, using the given angles of elevation and the height of the tree, we can use trigonometry to find the distance between points C and D. By setting up equations using tangent and cotangent, we can solve for the distance... | HuggingFaceTB/finemath | |
Instructions: To add a question/comment to a specific line, equation, table or graph simply click on it.
Click on the annotations on the left side of the paper to read and reply to the questions and comments.
John Wallis was an English mathematician who is given partial credi...
This was actually the way that Wallis hi... | open-web-math/open-web-math | |
# The Binomial Expansion - PowerPoint PPT Presentation
1 / 23
The Binomial Expansion. Introduction. You first met the Binomial Expansion in C2 In this chapter you will have a brief reminder of expanding for positive integer powers We will also look at how to multiply out a bracket with a fractional or negative power
... | HuggingFaceTB/finemath | |
# Plotting Data with Sage
0
4076
## Sage Beginner’s Guide Unlock the full potential of Sage for simplifying and automating mathematical computing
## Confusion alert: Sage plots and matplotlib
The 2D plotting capabilities of Sage are built upon a Python plotting package called matplotlib. The most widely used featur... | HuggingFaceTB/finemath | |
202 cm to inches (Centimeter to Inches)
By / Under Centimeter To Inch / Published on
Discover how to convert 202 cm to inches and understand the role of this conversion in various aspects of life.
Understanding and Converting 202 cm to inches
202 centimeters is equivalent to 79.53 inches. The conversion of centi... | HuggingFaceTB/finemath | |
## Algebra and Trigonometry 10th Edition
$\begin{bmatrix} 3 & -2 & |-27\\ 1 & 3 & |13\\ \end{bmatrix}$ ~ $\begin{bmatrix} 3 & -2 & |-27\\ 0 & -11 & |-66\\ \end{bmatrix}$ Back-Substitution: -11y = -66 y = 6 3x - 2(6) = -27 3x - 12 = -27 x = -5 x = -5 y = 6 | HuggingFaceTB/finemath | |
# Inverse Property of Addition: Definition and Examples
Inverse Property of Addition is what number you add to a provided number to make the sum zero. For instance, if we take the number 3 and add -3 to it, the result is zero. Therefore, the additive inverse of 3 is -3.
We come across such positions in our daily life... | HuggingFaceTB/finemath | |
back to trigonometry video lessons
# Sine line cosine line tangent line example4
Question:
Do not using calculator, compare the value of sin (-53o), cos (-53o) and tan (-53o). Writing them in ascending order.
Solution:
The circle is a unit circle. The radius of the circle is one. That is, r = 1.
The angle a = -53... | HuggingFaceTB/finemath | |
## Knowing when to use integration by parts is crucial in Mathematics education.
Integration by Parts: Understanding When to Use It Welcome to Warren Institute, where we explore the fascinating world of Mathematics education. In today’s article, we delve into the concept of integration by parts and shed light on when ... | HuggingFaceTB/finemath | |
April 25, 2012
## A bit of History about Pi
Mainstream historians believe that ancient Egyptians had no concept of π
As early as the 19th century BCE, Babylonian mathematicians were using π ≈ 25/8, which is about 0.5 percent below the exact value
The Indian astronomer Yajnavalkya gave astronomical calculations in t... | HuggingFaceTB/finemath | |
## Reflection: Checks for Understanding Juice Bar Problem Solving - Section 4: Student Practice
Upon reflecting on student understanding during this lesson, most students were able to solve most of the word problems within a partner-learning situation. Below are examples of proficient student work on each problem.
He... | HuggingFaceTB/finemath | |
# Visualizing Knots in Spacetime
In Knot Physics, elementary fermions—like electrons and quarks—are topological defects in the spacetime manifold, which we often refer to as knots.1 We can think of spacetime as a 3-dimensional manifold that changes over time; as such, the fermions of Knot Physics are topological defe... | HuggingFaceTB/finemath | |
2 Fixed mistake
This is more of a comment.
If I understand correctly, your Super-4 will give a perfect cuboid will give a Super-4 according to On Perfect Cuboids
Are there four squares all pairs of which have square differences? For a perfect cuboid we could take the squares of $y_3 z$, $y_2 y_3$ , $x_1 z$ and $x_1 ... | HuggingFaceTB/finemath | |
# 38.44 kg to lbs - 38.44 kilograms to pounds
Before we move on to the more practical part - that is 38.44 kg how much lbs conversion - we will tell you some theoretical information about these two units - kilograms and pounds. So let’s start.
How to convert 38.44 kg to lbs? 38.44 kilograms it is equal 84.7456935128 ... | HuggingFaceTB/finemath | |
# Sin (3 x +2)=cos (4…
Discussion in 'Mathematics' started by Budtijobo, Jun 16, 2019.
1. ### BudtijoboNew Member
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Sin (3 x +2)=cos (4 x-10)
2. ### HarakaNew Member
Joined:
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Sin (3 x +2)=cos (4 x-10) so we have to findvalue... | HuggingFaceTB/finemath | |
26 SEPTEMBER 2018
# The Power of X (and Y) Mathematics is an integral part of scientific study, and one that students often find a barrier to progression in science. Students can find it difficult to apply maths knowledge to science scenarios, even if they have encountered the maths concept previously.
The Associatio... | HuggingFaceTB/finemath | |
# Geometry Section 1.1 Patterns and Inductive Reasoning
## Presentation on theme: "Geometry Section 1.1 Patterns and Inductive Reasoning"— Presentation transcript:
Geometry Section 1.1 Patterns and Inductive Reasoning
Geometry, like much of mathematics and science, developed when people began recognizing and describ... | HuggingFaceTB/finemath | |
Please Note: This article is written for users of the following Microsoft Excel versions: 97, 2000, 2002, and 2003. If you are using a later version (Excel 2007 or later), this tip may not work for you. For a version of this tip written specifically for later versions of Excel, click here: Ignoring N/A Values in a Sum.... | HuggingFaceTB/finemath | |
2. If such arrangement is not possible, it must rearrange it as the lowest possible order (ie, sorted in ascending order). Back To Back SWE 23,623 views We have to think carefully on what is the next permutation. Here are some examples. Contribute to Nightonke/LeetCode development by creating an account on GitHub. The ... | HuggingFaceTB/finemath | |
ECircuits
# ECircuits - the other branches unchanged 3 Voltage drops...
This preview shows pages 1–3. Sign up to view the full content.
Electrical Circuits An electrical circuit is a pathway through which electrons can flow. We’ll use hydraulic (water flow) analogs to illustrate circuits: player water electrical power... | HuggingFaceTB/finemath | |
# Find Maximum Consecutive 1s in an Array
Key takeaway: An excellent problem to learn problem-solving using the sliding window approach and incremental approach using a single loop.
### Let’s understand the problem
An input array X[] is given where all elements are either 0 or 1. Write a program to find the maximum ... | HuggingFaceTB/finemath | |
How To Convert Euler Angles to Quaternions Using Python
Given Euler angles of the following form….
• Rotation about the x axis = roll angle = α
• Rotation about the y-axis = pitch angle = β
• Rotation about the z-axis = yaw angle = γ
…how do we convert this into a quaternion of the form (x, y, z, w) where w is the ... | HuggingFaceTB/finemath | |
# How to find the area of a kite
Kiteboarding ## In theory and geometrically speaking, the original kite is a quadrilateral with two pairs of congruent sides that are adjacent to one another.
Kites are an old human invention.
The earliest depiction of a kite dates from 9,500-9,000 years B.C. It was found in a mesoli... | HuggingFaceTB/finemath | |
Discover a lot of information on the number 4037: properties, mathematical operations, how to write it, symbolism, numerology, representations and many other interesting things!
## Mathematical properties of 4037
Is 4037 a prime number? No
Is 4037 a perfect number? No
Number of divisors 4
List of dividers 1, 11, 367,... | HuggingFaceTB/finemath | |
# GSEB Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.1
Gujarat Board GSEB Textbook Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.1 Textbook Questions and Answers.
## Gujarat Board Textbook Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.1
Quest... | HuggingFaceTB/finemath | |
1. Feb 7, 2017
### issacnewton
1. The problem statement, all variables and given/known data
Consider the function $f(x) = x^4 \sin(\frac 1 x)$ for $x \ne 0$ and $f(x) = 0$ for $x =0$. I have to prove that $x=0$ is the critical number of this function and its derivative changes the sign indefinitely.
2. Relevant equa... | open-web-math/open-web-math | |
NAVAL MATERIALS
NAVAL MATERIALS
Télécharger la présentation
NAVAL MATERIALS
- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
1. NAVAL MATERIALS
2. NAVAL MATERIALS What: The stuff we build ships, subs and planes out of! Why: 1... | HuggingFaceTB/finemath | |
To Word
Charging Stations
# Evaluate The Expression Using The Order Of Operations
Quizizz works on any device with a browser. In the lesson that you must evaluate operations of the expression using order. Today students spend more time simplifying expressions. The first letter of each word in the phrase creates the P... | HuggingFaceTB/finemath | |
# Friction Fulton County Schools Home by nikeborome
VIEWS: 18 PAGES: 27
• pg 1
``` Physics 152
Fall 2004
Tuesday, Sep 14
Lecture #7 - Chapter 5.1: FRICTION
If you are having any CHIP access or viewing problems….
• On CHIP homepage, click on Java advisory.
• Javascript needs to be enabled…
• Need ... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## 21 is what percent of 65?
21 of 65 is 32.31%
#### Steps to solve "what percent is 21 of 65?"
1. 21 of 65 can be written as:
21/65
2. To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100
21/65 × 100/100
... | HuggingFaceTB/finemath | |
Tue, 10 Sep 2013, 01:01
```
One more thing, I told you that the negative numbers were specified by
choosing bit patterns such that when I add +A to -A, I will get 0. That
is true! BUT, there is a useful shortcut, and my TAs ganged up on me and
told me I better show it to you. So, here goes:
Take the 6 bit positiv... | HuggingFaceTB/finemath | |
# Tutorial 21: Existential Elimination
Logical System
2013
Bergmann The Logic Book Section 10.1.
### The Tutorial
Existential Elimination (often called 'Existential Instantiation') permits you to remove an existential quantifier from a formula which has an existential quantifier as its main connective. It is one o... | HuggingFaceTB/finemath | |
# Pre Algebra
The low temperature for 6 consecutive days in a Montana city were 9°,3°,4°,16°,11°,and 5°. What would the low temperature have to be on the seventh day to have a mean low temperature of 6°for the week?
1. 👍 0
2. 👎 0
3. 👁 263
1. (9+3+4+16+11+5+T)/7 = 6.
Solve for T.
1. 👍 0
2. 👎 0
## Similar Questi... | HuggingFaceTB/finemath | |
Percent change from 135 to 321 Here we will show you how to calculate the percent change from 135 to 321, which is also known as the percentage change from 135 to 321.
Percent change is the change as a percent when you go from one value to another. In this case, we want to calculate the percent change from 135 to 321.... | HuggingFaceTB/finemath | |
# Trevor paints 1/6 of the fence surrounding his farm each day. How many days will it take him to paint 3/4 of the fence?
QUESTION POSTED AT 06/12/2019 - 02:57 PM
### Answered by admin AT 06/12/2019 - 02:57 PM
Trevor paints 1/6 of the fence surrounding his farm each day. How many days will it take him to paint 3/4 o... | HuggingFaceTB/finemath | |
# The diagonal of a trapezoid divides its midline into two segments so that one of them is 2 times
The diagonal of a trapezoid divides its midline into two segments so that one of them is 2 times larger than the other. Find the bases of the trapezoid if the midline is 18 cm.
By condition, the length of MH = 2 * KН.
... | HuggingFaceTB/finemath | |
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### Course: Multivariable calculus>Unit 2
Lesson 1: Partial derivatives
# Graphical understanding... | HuggingFaceTB/finemath | |
Click To Get Off-Campus Placement Jobs Info !!!
FREE!!! Latest Nagarro FULL Aptitude Mock Test for Practice
Practice 5+ Mettl Aptitude Mock Test
# Quantitative Aptitude :: Percentage
Home > Quantitative Aptitude > Percentage > Important Formulas
## Percentage Important Formulas
Concept of Percentage:
By a certain ... | HuggingFaceTB/finemath | |
# Problem of the Week Problem B and Solution Where’s the Audience?
## Problem
The Pythagorean Triples are a rock band who recently returned from their second Canadian tour.
1. Information about ticket sales for three of the venues they played at is summarized in the following table.
Venue Number of Tickets Availab... | HuggingFaceTB/finemath | |
# A solid disk with a radius of 3 m and mass of 12 kg is rotating on a frictionless surface. If 480 W of power is used to increase the disk's rate of rotation, what torque is applied when the disk is rotating at 4 Hz?
Mar 17, 2017
The torque is $= 19.1 N m$
#### Explanation:
mass of disc $= 12 k g$
radius of disc ... | HuggingFaceTB/finemath | |
velocity pressure drop formula
# velocity pressure drop formula
rotational velocity. particulate or particle diameter. air viscosity. cyclone pressure drop.Loss Formulas Calculator Percent Yield Equations Calculator Earthquake Seismometer Calculator Newton Second Law of Motion Lattice Multiplication Calculator Payc... | HuggingFaceTB/finemath | |
# Simple circuit - parallel resistors
B4ssHunter
Simple circuit -- parallel resistors
## Homework Statement
i am asked to find two or more resistors having the same voltage across their terminals , the answer is R2 and R0 , but i want to know why , note that there are no known values(they might or might not be equal... | HuggingFaceTB/finemath | |
Example: Markov Chain ! Below is the Markov Chains - 8 Absorbing States • If p kk=1 (that is, once the chain visits state k, it remains there forever), then we may want to know: the probability of absorption, denoted f ik • These probabilities are important because they provide If the Markov chain has N possible states... | open-web-math/open-web-math | |
×
×
# Solutions for Chapter 8.4: TRIGONOMETRIC EQUATIONS ## Full solutions for Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CD-ROM) (Available 2010 Titles Enhanced Web Assign) | 4th Edition
ISBN: 9780534402303 Solutions for Chapter 8.4: TRIGONOMETRIC EQUATIONS
Solutions for Chapter... | HuggingFaceTB/finemath | |
300 views
A man makes complete use of $405$ cc of iron, $783$ cc of aluminium, and $351$ cc of copper to make a number of solid right circular cylinders of each type of metal. These cylinders have the same volume and each of these has radius $3$ cm. If the total number of cylinders is to be kept at a minimum, then the... | HuggingFaceTB/finemath | |
# Study tips: Margins and mark-ups
In a previous article we looked at how to calculate the cost of goods sold (COGS) and now we’re going to build on that understanding to consider mark-ups and margins.
I also wrote an article on study tips which included percentages and covered the basic numerical skills we need to ... | HuggingFaceTB/finemath | |
### Practice Aptitude Questions with Solution for SSC CGL Mains Set-3
Practice Aptitude Questions with Solution for SSC CGL Mains Set-3:
The list of practice Aptitude Questions with Solutions for SSC CGL Mains Exam was given here, candidates those who are preparing for the examination can use this practice questions
... | HuggingFaceTB/finemath | |
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Broad Topics > Information and Communications Technology > Interactivities
Cogs
Age 11 to 14 Challenge Level:
A and B are two interlocking cogwheels havin... | HuggingFaceTB/finemath | |
# Thread: Trignometric Integrals
1. ## Trignometric Integrals
$\displaystyle \int \frac{x^2}{\sqrt{4-x^2}} dx$
$\displaystyle \int sin^2(x)cos^3(x) dx$
I cant figure these 2 out.
Can you also show the steps?
Thank You so much
2. I would use u substitution on the first one using:
$\displaystyle u = 4-x^2$
and for ... | HuggingFaceTB/finemath | |
Residue Theorem
• Jul 9th 2009, 11:04 PM
Richmond
Residue Theorem
Calculate the following integral using Residue Theorem
$\int \frac{dz}{(1+z^2)^2}$
from $\infty$ to $-\infty$
• Jul 9th 2009, 11:42 PM
Moo
Hello,
Let $f(z)=\frac{1}{(1+z^2)^2}$
Obviously, i and -i are double poles, because $1+z^2=(z+i)(z-i)$
So, us... | HuggingFaceTB/finemath | |
Name: Chapter 5 Pre Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1.
Use the rules of exponents to simplify the expression below.
a. b. c. d. e.
2.
Use the rules of exponents to simplify the expression using only positive exponents. Assume that no variable... | HuggingFaceTB/finemath | |
# The +EV Poker Squeeze
One of the most profitable plays available to you in a game where preflop raises tend to get one or more callers is the squeeze. Done correctly, squeezing can pick up lots of uncontested pots preflop, even when you have marginal hands.
But squeeze in the wrong spots, and you will bleed chips q... | HuggingFaceTB/finemath | |
# How to do boyle’s law
## How do you calculate Boyle’s Law?
Let’s say we change the volume of a gas under isothermal conditions, and we want to find the resulting pressure. Then, the equation of Boyle’s law states that: p₂ = p₁ * V₁ / V₂ or p₂ / p₁ = V₁ / V₂ . As we can see, the ratio of the final and initial pressu... | HuggingFaceTB/finemath | |
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.
Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS"... | HuggingFaceTB/finemath | |
# Electrodynamics/Tensors
This page is going to serve as a general introduction to the concept of tensors.
## Tensors
A tensor is essentially a generalization of vectors and matrices that readers should be familiar with from linear algebra. A vector (with one dimension) is a rank-1 tensor, and a matrix (with two dim... | HuggingFaceTB/finemath | |
# A quick PPM question
## Homework Statement
Calculate PPM of *Fluoride* in standard solution. NaF (dissolved in solution) = 1.0534g in 0.250L distilled water.
## Homework Equations
PPM = Mol/L * g/mol * 1000
c=n/V
n=m/M
## The Attempt at a Solution
C=n/V, n = m/M
n = 1.0534/41.99 = 0.02509
c = n/V = 0.02509/0.2... | HuggingFaceTB/finemath | |
Examine the consistency of the system of equations: $\quad 5x -y +4z = 5$ $\quad2x + 3y + 5z= 2$ $\quad 5x - 2y + 6z = -1$
Toolbox:
• (i)A matrix is said to be singular if |A|$\neq 0$.
• (ii)If A is a non-singular matrix such that
• AX=B.
• then $X=A^{-1}X$
• Using this we can solve the system of equation which has un... | open-web-math/open-web-math | |
# secx + tanx = 1/(secx-tanx)
• Jan 20th 2013, 02:12 AM
Furyan
Solved :secx + tanx = 1/(secx-tanx)
$\displaystyle \sec x + \tan x \equiv \dfrac{1}{\sec x -\tan x}$
I got as far as this starting with the R.H.S, but don't know if it's the right approach or how to proceed from here.
$\displaystyle R.H.S = \dfrac{\cos ... | HuggingFaceTB/finemath | |
خانه / دستهبندی نشده / coterminal angles and reference angles calculator
# coterminal angles and reference angles calculator
We keep going past the 90° point (the top part of the y-axis) until we get to 144°. Another term I introduce today is coterminal angles.
Now we would notice that it’s in the third quadrant, s... | HuggingFaceTB/finemath | |
# Three brothers
The three brothers have a total of 42 years. Jan is five years younger than Peter and Peter is 2 years younger than Michael. How many years has each of them?
Correct result:
J = 10
M = 17
P = 15
#### Solution:
J+P+M = 42
J = P-5
P = M-2
J+M+P = 42
J-P = -5
M-P = 2
J = 10
M = 17
P = 15
Our li... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Reduce 2271/169 to lowest terms
2271/169 is already in the simplest form. It can be written as 13.43787 in decimal form (rounded to 6 decimal places).
#### Steps to simplifying fractions
1. Find the GCD (or HCF) of numerator and denominator
GCD of 2271 and 169 is 1
2. Divide ... | HuggingFaceTB/finemath | |
#### You may also like ### Fixing the Odds
You have two bags, four red balls and four white balls. You must put all the balls in the bags although you are allowed to have one bag empty. How should you distribute the balls between the two bags so as to make the probability of choosing a red ball as small as possible an... | HuggingFaceTB/finemath | |
# Is there anything wrong with this proposed proof of the irrationality of Euler's constant?
Let $\{\lambda_n\}$ be the sequence given by $H_n - \ln n$. We claim that $\lambda_n$ is irrational for every integer $n>1$ and justify this by the following argument:
Assume that $\lambda_k$ is rational for some integer $k>1... | HuggingFaceTB/finemath | |
# $f(x) = x^6, g(x) = x^{10}$ endomorphisms $\implies G$ is abelian
Let $(G, \cdot)$ be a group in which the functions $f: G \to G, f(x) = x^6$ and $g : G \to G, g(x) = x^{10}$ are endomorphisms and $f$ is injective. Prove that $G$ is an abelian group.
We need to prove that $f(xy) = f(yx), \forall x,y \in G$.
Becaus... | HuggingFaceTB/finemath | |
# Solution of Gaussian mixture model in machine learning
Posted by sgbalsekar on Sat, 23 Oct 2021 08:17:07 +0200
# The function Gaussian mixture in machine learning solves the components of each model
## [1.1] Gaussian texture parameter interpretation ## [1.2] solution of single Gaussian model
```from matplot... | HuggingFaceTB/finemath | |
# The Science behind the Discriminate Concept of Math In mathematics, a discriminant is a value that can be used to determine the nature of the roots of a polynomial equation. Specifically, it is the determinant of the matrix of coefficients of the equation.
For example, the discriminant of x2+px+q=0 is p2-4q. If the ... | HuggingFaceTB/finemath | |
# The story of e
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What do we mean by exponential growth? How quickly does your bank balance grow? How quickly does a cup of tea cool, or radium decay? What shape is a washing line and what is the link with Gresham College?
28 February 2007 THE STORY OF e Professor Robin Wils... | HuggingFaceTB/finemath | |
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# Distributing
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On the distributive property
Published in: Technology, Business
• Full... | HuggingFaceTB/finemath | |
# SOLUTION: The sum of the first six terms of an A.P is 72 and the second term is seven times the fifth term. Form two equations in a' and d' and solve them to find the first term and the comm
Algebra -> Algebra -> Sequences-and-series -> SOLUTION: The sum of the first six terms of an A.P is 72 and the second term i... | HuggingFaceTB/finemath | |
# Is $R_1 \oplus 0$ a free $R_1 \oplus R_2$-module?
Suppose $R_1$ and $R_2$ are unital rings. Consider $R_1 \oplus \{0\}$ an $R_1 \oplus R_2$-module. Is this a free module?
I am thinking it's not, since there are relations. How can I take this idea further?
## 2 Answers
Certainly not, since it has a non-zero annihi... | open-web-math/open-web-math | |
# Exponential decay solver
Exponential decay is given by the formula: Xₜ = X₀ × exp (μt)
• Determine mathematic equation
• Do math equations
## Exponential Decay Calculator
Solve math problem
To solve a math equation, you need to find the value of the variable that makes the equation true.
Do math
I can't do mat... | HuggingFaceTB/finemath | |
# The limit represents the derivative of some function f(x) at some number a. Find f and a. lim (h->0) of ((7+h)^2-49)/h PLEASE HELP
sciencesolve | Teacher | (Level 3) Educator Emeritus
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Suppose that the function is `f(x)=x^2` and `a = 7` .
You need to find the derivative of the function at x=a=7, henc... | HuggingFaceTB/finemath | |
# Fruity system of equations
I've seen a lot of these popping up in Facebook lately so I decided to make my own. Can you tell me what each symbol is? There are no math errors in this puzzle.
In order for your solution to be correct it must work in all 4 equations.
Hint #1
As pointed out by Silenus below, changing t... | HuggingFaceTB/finemath | |
# Writing a polynomial in factored form
Long division of polynomials Video transcript In this video, we're going to learn to divide polynomials, and sometimes this is called algebraic long division. But you'll see what I'm talking about when we do a few examples. Let's say I just want to divide 2x plus 4 and divide it... | HuggingFaceTB/finemath | |
# Elementary Algebra
The perimeter of a soccer field is 280yd. The width is 5yd more than half the length. Can you help me with the formula to solve this problem?
1. 👍 0
2. 👎 0
3. 👁 383
1. P = 2L + 2W
280 = 2L + 2(0.5L + 5)
280 = 2L + L + 10
280 = 3L + 10
270 = 3L
90 = L
1. 👍 0
2. 👎 0
## Similar Questions... | HuggingFaceTB/finemath | |
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# Learning Patterns
## Set up
We assume labeled data X Î Rd with label Y Î {0,1}. For example X=x could be the vector of pixels of a digital image of a human face and Y=1 may mean that x is the face of a woman instead of a man. The random vector (X,Y) has distribution specified... | HuggingFaceTB/finemath | |
Linear Inequations in One Variable
Linear Inequations in One Variable:
We know that equations are mathematical statements having two sides connected by a sign of equality. In an inequation, the two sides of the statement are connected by a sign of inequality. The signs of inequality are <, >, ≤, ≥, ≠.
Statemen... | HuggingFaceTB/finemath | |
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# Mat2793 - Angle of Elevation
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• (section 6.5)PurposeTo demonstrate how... | HuggingFaceTB/finemath | |
# Algebra I 18ed by Armando Rojo PDF
By Armando Rojo
ISBN-10: 950025204X
ISBN-13: 9789500252041
Best algebra books
Extra resources for Algebra I 18ed
Example text
For example, the interval notation ͑Ϫ3, 2͔ indicates the interval of all real numbers greater than Ϫ3 and less than or equal to 2. As on the graph of ... | HuggingFaceTB/finemath | |
## Tuesday, September 1, 2020
Solution Exrcise 198: A Tkinter Graphical Application To Check Whether The Number Is A Perfect Square Or Not.
#### Exercise 198
Create a graphical application with Python Tkinter which tests whether a given integer is a perfect square or not as shown in the figure below:
#### Solution
... | HuggingFaceTB/finemath | |
# Bungee jumping problem
## Homework Statement
A bungee jumper weight 60 kg, spring constant 98N/m, the cord is extended by 18m.Natural length of the cord is 9m.total lenght is 27m.
max force,
F=kx
mg=kx
x=6m.
it goes to 6m extension but to extend more from where it gets extra force?
F=kx
x=6m[/B]
jbriggs444
Home... | HuggingFaceTB/finemath | |
# physics
posted by on .
when babe ruth hit a homer over the 7.5-m-high right field fence 95 m from home plate, roughly what wa the minimum speed of the ball when it left the bat? Assume the ball wa hit 1.0 m above the ground and it path initially made a 38 degree angle with the ground.
• physics - ,
Dh = Vo^2*sin(... | HuggingFaceTB/finemath | |
#### Only one of the four options is correct. Write the correct one.On a shelf, books with green cover and that with brown cover are in the ratio 2:3. If there are 18 books with green cover, then the number of books with brown cover is(A) 12 (B) 24 (C) 27 (D) 36
Given: Ratio of the number of green cover and brown cove... | HuggingFaceTB/finemath | |
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# How many Pharaohs can fit in one pyramid?
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### You are a geometric solid you have one square base you have ... | HuggingFaceTB/finemath | |
# The following bar graph shows the sales (in thousands) of motor bikes by the factories, F1, F2, F3, and F4 in 2017, 2018 and 2019. Which of the factories witnessed the highest increase in the percentage of sales from 2018 to 2019 ?
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SSC CHSL Previous Paper 104 (Held On: 19 Oct 20... | HuggingFaceTB/finemath |
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