Math

AlgebraQ&A LibraryA = {1, 3, 7, 9} and S be the binary relation on A defined by: x S y <=> x^3 ≡ y (mod 10) (a) State explicitly which ordered pairs are in S. (b) State explicitly which ordered pairs are in S^-1. (c) Is S reflexive? Yes or No? (circle one, no proofs.) (d) Is S symmetric? Yes or No? (circle one, no proofs.) (e) Is S transitive? Yes or No? (circle one, no proofs.)Start your trial now! First week only $4.99!*arrow_forward*

Question

Let A = {1, 3, 7, 9} and S be the binary relation on A defined

by: x S y <=>

x^3 ≡ y (mod 10)

(a) State explicitly which ordered pairs are in S.

(b) State explicitly which ordered pairs are in S^-1.

(c) Is S reflexive? Yes or No? (circle one, no proofs.)

(d) Is S symmetric? Yes or No? (circle one, no proofs.)

(e) Is S transitive? Yes or No? (circle one, no proofs.)

Tagged in

Math

Algebra

Find answers to questions asked by students like you.

Q: Use the limit comparison test to study the convergence of the following series

A: The series ∑n=1∞2n+3n2n+5. We have to check the convergence of this series using the limit compariso...

Q: You deposit $5000 in an account earning 4% interest compounded continuously. How much will you have ...

A: Click to see the answer

Q: Henry coaches a men's lacrosse team and he plans to buy new practice jerseys and lacrosse sticks for...

A: let the number of practice jerseys=x and number of lacrosse sticks=y cost of 1 practice jerseys=$60...

Q: evaluate the function at the indicated values if possible. if an indicated value is not in the domai...

A: Click to see the answer

Q: Find the solution of the equation, correct to two decimal places. a) 2?−1=10 ...

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost o...

Q: 2) Round each decimal to the appropriate place: Tenths Hundredths Thousandths ...

A: Since you have asked multiple questions in single request so we will be answering only first quest...

Q: Ellie earned a total of $10 for 2 hours of yard work. How many hours in all will it take Ellie to ea...

A: given in 2 hour ellie earns $10 in 1 hour ellie earns $10/2 = $5 ellie earns $20 in how many hours ...

Q: f(x) = -x2 + 26x − 6 (a) Find the vertex of the graph of the equation.(x, y) = ( )(b) Determine if...

A: f(x) = -x2 + 26x − 6 To find out the vertex we use formula x=-b2aa=-1 and b=26x=-262(-1)=13x=13 Now...

Q: A chemist has three different acid solutions. The first acid solution contains 20% acid, the second ...

A:

Q: A bank loaned out $29,000, part of it at the rate of 8% annual interest, and the rest at 9% annual i...

A: we know that the total amount loaned was $29000 let the one part loaned be x and the other part of ...

Q: Two angles are supplementary. The measure of the larger angle is 12 degrees more than three times th...

A: Given: Given that two angles are supplementary. The measure of the larger angle is 12 degrees more t...

Q: You have 2 empty unmarked jugs: an 8 liter and a 3 liter. Using those jugs and a water faucet, how c...

A: Given, 8 litre jug and a 3 litre jug We need to produce exactly 4 litre of water

Q: What is the average speed in the attached image?

A: From the given graph Base1= 200 Base 2 = 100. Height = 40 Area of trapezium = 1/2 (base1+base2) h...

Q: See picture

A: Reflection of a point (x, y), about a horizontal line y=a, is given by x, 2a-y. Thus, the transforma...

Q: Q4: Solve the system of equations by graphical method: 1. -3x + 2y 22, 5x +4y 0

A: Click to see the answer

Q: A certain lock has four tumblers, and each tumbler can assume five positions. How many different pos...

A: A certain lock has 4 tumblers. Each tumblers can assume 5 positions.

Q: The side of a cylindrical can full of water springs a leak, and the water begins to stream out. (See...

A: Given: The side of a cylindrical can full of water springs a leak, and the water begins to stream o...

Q: A total of $6000 is invested for 5 yr with a total return of $1080. Part of the money is invested in...

A: Let amount invested in simple interest isand insimple interest is. Since the total amount invested i...

Q: A woman making $2500 per month has her salary reduced by 10% because of sluggish sales. One year lat...

A: Concept,When there is a decrement in a value by r% then it's new value is given by formula - A = P1...

Q: find the x-intercepts of -x+2y=6

A: Click to see the answer

Q: Please me out asap. Find AB, if possible

A: Click to see the answer

Q: A1. Albert and della have the same birthday, when della was 30, albert was 36. how old was delia whe...

A: Click to see the answer

Q: Linear Algebra

A: Click to see the answer

Q: write the equation that describes the line in slope-intercept form slope=6 point (4,1) is on the ...

A: Click to see the answer

Q: Solve the following linear programming problem by .graphical method Maximize P= 5x + 6y subject to t...

A: Click to see the answer

Q: State the domain and range of the function. (Enter your answers using interval notation.) y = x2 + ...

A: Click to see the answer

Q: A signal can be formed by running different colored flags up a pole, one above the other. Find the n...

A: Click to see the answer

Q: Please help asap

A: Click to see the answer

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,...

A: Click to see the answer

Q: The percent P of the U.S. population with Internet access is given by 25P − 34t = 1378 where t is ...

A: Given: The percent P of the U.S. population with Internet access is given by 25P - 34t = 1378 wher...

Q: Consider the following repeating decimal. 0.617 (a) Write the repeating decimal as a geometric ser...

A: Click to see the answer

Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as p...

A: Click to see the answer

Q: I'm unsure how to properly set up this equation for this word problem, and I would like to see all t...

A: Given 's' is the speed of car in miles per hour. And 'd' is the distance travelled by the car after...

Q: It takes an ant farm 3 days to consume of an apple. At that rate, in how many days will the ant farm...

A: Click to see the answer

Q: Suppose you flip a coin and keep a record of the results. In how many ways could you obtain at least...

A: Givenyou flip th coin four times

Q: Arturo invests $5200 in two different accounts. The first account paid 4 %, the second account paid ...

A: Let Arturo invests $x in first account whereas $ (5200 - x) in second account.

Q: I wanted to buy cookies and cupcakes for my coworkers. Each cupcake cost $3.50 and a cookie cost $1....

A: Given equation, x+y=20 ....(1) 3.50 x+1.50 y=35 ...(2) Where Cupcakes=X Cooki...

Q: What is the equation of the line that passes through the point (6,6)(6,6)and has a slope of 0?

A: Click to see the answer

Q: For which value of a is the solution set of the following system х+5у +z —D b — 5 2х — 4y — z —а+b-3...

A: Click to see the answer

Q: Currently, 10,000 people take city buses each day and pay 2 dollars for a ticket. The number of peop...

A:

Q: 2 Find the vertex of the following parabola. a) f(r) = 22 – 2r + 5 b) f(r) = 322 + 12r – 9 c) f(r) =...

A: Click to see the answer