Recent questions in Upper level algebra

College algebraOpen question

Ghennady Shyshakov2022-11-17

$C=\frac{5}{9}(F-32)$

The equation above shows how temperature *F*, measured in degrees Fahrenheit, relates to a temperature *C*, measured in degrees Celsius. Based on the equation, which of the following must be true?

1. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of $\frac{5}{9}$ degree Celsius.

2. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.

3. A temperature increase of $\frac{5}{9}$ degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.

A) I only

B) II only

C) III only

D) I and II only

College algebraOpen question

Haidyn Hartman2022-11-08

if -x^2+y^2=4-4x^2y then find the equations of all tangent lines to the curve when y=-5

College algebraOpen question

mrsglick16 2022-10-25

Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (8,-4) and perpendicular to the line whose equation is

x-6y-5=0

College algebraOpen question

mrsglick16 2022-10-25

Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (8,-4) and perpendicular to the line whose equation is x-6y-5=0

College algebraOpen question

Sai Ganesh naidu2022-10-10

Let R be the relation on the set {0, 1, 2, 3} containing the ordered pairs (0, 1),(1, 1),(1, 2),(2, 0),(2, 2),(3, 0). Find reflexive, symmetric and transitive closure of R.

College algebraAnswered question

Amy Kurtz2022-09-11

A baseball team plays in a stadium that holds 70,000 spectators. With the ticket price at $11, the average attendance has been 29,000. When the price dropped to $10, the average attendance rose to 35,000. Assuming the demand function, p(x)$p\left(x\right)$, is linear, find p(x)$p\left(x\right)$, where x$x$ is the number of the spectators. *Write p(x)*$p\left(x\right)$* in slope-intercept form.*

College algebraAnswered question

Gabriella Peterson2022-08-28

To break even in a manufacturing business, income or revenue R must equal the cost of production the letter C. The cost the letter C to produce X skateboards is the letter C = 108+21X. The skateboards are sold wholesale for $25 each, so revenue the letter R is given by the letter R = 25 X. Find how many skateboards the manufacture needs to produce and sell to break even. (Hint: set the cost expression equal to the revenue expression and solve for X.)

College algebraAnswered question

nainamourya181 2022-08-25

If (R, +, .) Is a ring and a belongs to R then S = { x belongs to R : ax = 0} is a subring of R

College algebraOpen question

Bilgehan Yurtcan2022-08-01

can and how you solve the set of inequality and find the intervals for variables in inequalities in the document which I uploaded using excel.

College algebraAnswered question

Bilgehan Yurtcan2022-07-31

can and how you solve the set of inequality and find the intervals for variables in inequalities in the document which I uploaded using excel.

There is no relation between alpha and beta.

College algebraAnswered question

Bilgehan Yurtcan2022-07-31

How can I solve set of inequality and find the intervals for variables in inequalities in the document which I uploaded using excel.

College algebraAnswered question

Tyler Freeman2022-07-21

Which of the following options represents the same expression as (-3x)^2/3

$\frac{1}{{\left(3x\right)}^{{\displaystyle \frac{2}{3}}}}$

(3x)${}^{\frac{2}{3}}$

-$\sqrt[3]{{\left(3x\right)}^{2}}$

${\left(\sqrt[3]{-3x}\right)}^{2}$

$\sqrt[2]{27{x}^{3}}$

$\sqrt[3]{9{x}^{2}}$

${\left(\sqrt[2]{-3x}\right)}^{3}$

College algebraAnswered question

esanchez0830 2022-07-08

**. A group of students in MATH 105 start a walking program. The chart below shows each member’s self-reported walking time in minutes during May 2022.**

** **

X - 300 C - 400 F – 60

A - 325 D - 900 G – 600

B - 550 E - 150 H – 250

By what percent did X exceed or fall below the mean?

College algebraAnswered question

ScommaMaruj 2022-07-08

I am from a non-mathematics background but the course that I am taking in probability class is built on measure theory. I found many theorems stated in the book hard to comprehend and I think that's partly due to my insufficient maths background. I am self-learning real analysis currently and think it may be equally important to systematically learn abstract algebra if I really want to know the logic behind the probability class I am currently taking.

I find myself completely lost proceeding to the following section of the text.

"Let $R$ be a relation, $A$ a mathematical object, and $x$ a letter (i.e., a "totally indeterminate" mathematical object). In the assembly of letters and fundamental signs which constitutes the relation $R$, replace the letter $x$ wherever it occurs by the assembly $A$. One of the criteria for forming relations is that the assembly so obtained is again a relation, which is denoted $(\ast )$ by the notation

$(\mathrm{A}\mid x)\mathrm{R}$

and is called the relation obtained by substituting $A$ for $x$ in $R$, or by giving $x$ the value $A$ in $R$. The mathematical object A is said to satisfy the relation $R$ if the relation $(\mathrm{A}\mid x)\mathrm{R}$ is true. It goes without saying that if the letter $x$ does not appear at all in the assembly $R$, then the relation $(\mathrm{A}\mid x)\mathrm{R}$ is just $R$, and in this case to say that $A$ satisfies $R$ means that $R$ is true."

However, I do appreciate the textbook that is self-contained and appreciate the author devoted to mathematical reasoning so rigorously at the beginning of the chapter. I tried to find some textbook about mathematical logic but they are either too abstract or not thorough enough that seems to start from the most fundamental (i.e. from axiom and the most basic rule).

I have read relevant posts on the subject I am asking but can't decide the material right for me. I am wondering if there are any materials or textbooks that introduce mathematical logic rigorously and serve as a supplementary text for me to understand the first chapter of the book? If there really isn't any textbook that is not too abstract but rigorous enough, I am wondering if there are any other textbooks on abstract algebra that start from mathematical logic and build the whole system from the scratch?

I find myself completely lost proceeding to the following section of the text.

"Let $R$ be a relation, $A$ a mathematical object, and $x$ a letter (i.e., a "totally indeterminate" mathematical object). In the assembly of letters and fundamental signs which constitutes the relation $R$, replace the letter $x$ wherever it occurs by the assembly $A$. One of the criteria for forming relations is that the assembly so obtained is again a relation, which is denoted $(\ast )$ by the notation

$(\mathrm{A}\mid x)\mathrm{R}$

and is called the relation obtained by substituting $A$ for $x$ in $R$, or by giving $x$ the value $A$ in $R$. The mathematical object A is said to satisfy the relation $R$ if the relation $(\mathrm{A}\mid x)\mathrm{R}$ is true. It goes without saying that if the letter $x$ does not appear at all in the assembly $R$, then the relation $(\mathrm{A}\mid x)\mathrm{R}$ is just $R$, and in this case to say that $A$ satisfies $R$ means that $R$ is true."

However, I do appreciate the textbook that is self-contained and appreciate the author devoted to mathematical reasoning so rigorously at the beginning of the chapter. I tried to find some textbook about mathematical logic but they are either too abstract or not thorough enough that seems to start from the most fundamental (i.e. from axiom and the most basic rule).

I have read relevant posts on the subject I am asking but can't decide the material right for me. I am wondering if there are any materials or textbooks that introduce mathematical logic rigorously and serve as a supplementary text for me to understand the first chapter of the book? If there really isn't any textbook that is not too abstract but rigorous enough, I am wondering if there are any other textbooks on abstract algebra that start from mathematical logic and build the whole system from the scratch?

College algebraAnswered question

Raul Walker 2022-07-04

Often when I'm working on a math problem, there comes a point when I've set everything up and what remains is to expand some expression, substitute something in, solve an equation, or otherwise enter the domain of algebra.

I find that I usually think about this step in the problem as a black box, into which I put a set of equations and out of which comes a set of solutions. This is particularly true if the algebra involved includes many steps.

This is good in a lot of ways and bad in some others, but putting that aside, I'm fascinated that this step seems to come up in all areas of math. Is it possible to separate math from algebra? Are there any branches of math where long chains of algebra are not found or uncommon?

I find that I usually think about this step in the problem as a black box, into which I put a set of equations and out of which comes a set of solutions. This is particularly true if the algebra involved includes many steps.

This is good in a lot of ways and bad in some others, but putting that aside, I'm fascinated that this step seems to come up in all areas of math. Is it possible to separate math from algebra? Are there any branches of math where long chains of algebra are not found or uncommon?

As a rule, when there is a task that relates to upper-level Algebra, it is usually met among mechanical or electrical engineers, architects, and students dealing with statistical calculations. The questions that have been posted below explore several concepts and explain why the problems in upper-level Algebra occur. Speaking of college algebra answers online, one should take a closer look at calculations that have been based on real-life cases. It will help to determine the solution. See more than one question as you do. See our college algebra examples with answers to find your ultimate guidance.