What is transitive closure of relation?

Answers

Answer 1

The transitive closure of a relation R on a set X is the smallest relation on X that contains R and is transitive.

If X is a set of airports and x R y means "there is a direct flight from airport x to airport y" (for x and y in X), then the transitive closure of R on X is the relation R+ such that x R+ y means "it is possible to fly from x to y in one or more flights". Informally, the transitive closure gives you the set of all places you can get to from any starting place.

In mathematics, the transitive closure of a relation R on a set X is the smallest relation on X that contains R and is transitive. For finite sets, "smallest" can be taken in its usual sense, of having the fewest related pairs; for infinite sets it is the unique minimal transitive superset of R.

Thus,The transitive closure of a relation R on a set X is the smallest relation on X that contains R and is transitive.

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Related Questions

I’m desperate for help!!

Im desperate for help!!

Answers

When we reflect every point over the x axis...

S(2, -4) becomes S ' (2, 4)T(9, -4) becomes T ' (9, 4)U(9, -1) becomes U ' (9, 1)V(2, -1) becomes V ' (2, 1)

The rule you use is \((x,y) \to (x,-y)\)

The x coordinate stays the same while the y coordinate flips in sign (in this case from negative to positive)

The local produce farm transports their fruits and vegetables in crates. The crates are stacked to form rectangular prisms. They load the crates on to a truck creating rectangular prisms 10 feet wide.




A driver delivers the crates to stores in town.


Complete the statements.


The total volume of the crates on the truck when the truck leaves the farm is ___ cubic feet.


The crates each have a volume of 1 cubic foot. The driver delivers 60 crates of vegetables and 40 crates of fruit to the first store. The volume of the vegetable crates left on the truck is ___ cubic feet. The volume of the fruit crates left on the truck is ___ cubic feet

Answers

Each crate has a volume of 1 cubic foot. After delivering 60 crates of vegetables and 40 crates of fruit to the first store, there are 40 cubic feet of vegetable crates and 60 cubic feet of fruit crates left on the truck.

To calculate the total volume of the crates on the truck when it leaves the farm, we need to know the number of crates and the volume of each crate. Since each crate has a volume of 1 cubic foot, and they are stacked to form rectangular prisms that are 10 feet wide, the total volume of the crates on the truck is 10 x 10 x the number of crates.

After delivering 60 crates of vegetables and 40 crates of fruit to the first store, there are 40 vegetable crates and 60 fruit crates left on the truck.

The volume of the vegetable crates left on the truck is 40 cubic feet (40 crates x 1 cubic foot per crate), and the volume of the fruit crates left on the truck is 60 cubic feet (60 crates x 1 cubic foot per crate).

Overall, it is important for the local produce farm to properly stack and transport their crates to ensure efficient delivery to stores in town.

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the manager of a movie theater has determined that the distribution of customers arriving at the concession stand is poisson distributed with a standard deviation equal to 2 people per 10 minutes. what is the probability that 0 customers arrive during a 10-minute period?

Answers

The probability that 0 customers arrive during a 10-minute period is given as follows:

0.0183 = 1.83%.

How to obtain the probability?

We are given the mean during a time interval, hence the Poisson distribution is used to obtain the probability in this problem.

The mass probability function for the Poisson distribution is given as follows:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are given as follows:

x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number\(\mu\) is the mean in the given interval or range of values of the input parameter.

The standard deviation for the Poisson distribution is the square root of the mean, hence the mean is calculated as follows:

\(\mu = 2^2 = 4\)

Then the probability that 0 customers arrive during a 10-minute period is calculated as follows:

P(X = 0) = e^(-4) = 0.0183 = 1.83%.

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1. Find the perimeter of the figure. Each unit is 1 centimeter​

1. Find the perimeter of the figure. Each unit is 1 centimeter

Answers

Answer:

20

Step-by-step explanation:

count the sides of the boxes for each side of the shape

for a math project, tim is making a globe using a styrofoam sphere. the diameter of the sphere is 30 cm. to represent pi day, tim is writing the numbers of pi around the sphere at a distance of 12 cm from the center. to the nearest tenth of a centimeter, how long does the circle of numbers need to be?

Answers

The circumference of the sphere with a diameter of 30 cm is approximately 94.2 cm. Therefore, the circle of numbers needs to be approximately 94.2 cm long.

To calculate the length of the circle of numbers, we need to find the circumference of the styrofoam sphere. The circumference of a circle can be found using the formula C = πd, where C is the circumference and d is the diameter.

Given that the diameter of the sphere is 30 cm, we can substitute this value into the formula: C = π(30).

Using an approximation for π as 3.14, we can calculate the circumference as C ≈ 3.14(30) = 94.2 cm.

Therefore, the circle of numbers needs to be approximately 94.2 cm long to represent pi day on the styrofoam sphere.

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Directions are with the pic below. Please help with question #1.

Directions are with the pic below. Please help with question #1.

Answers

Solution:

Let each cubic block be represented with x

Let each spherical block be represented with y

Let each cylindrical block be represented with z

For A,

3x + y = 2y + z

For B,

3x = 5y

For c,

We want to find 3x + 3y

From

3x + y = 2y + z

3x +y -2y =z

3x-y = z-----------------------(m)

From B,

3x = 5y

Substitute 3x = 5y into (m) above

3x-y = z

5y-y = z

4y = z----------------------------------(b)

From C,

3x + 3y = 5y + 3y = 8y

3x + 3y = 2(4y)

3x + 3y = 2z

Recall, z = cylindrical block

The two blocks that will balance C is cylindrical block

In a running competition, a bronze, silver and gold medal must be given to the top
three girls and top three boys. If 9 boys and 13 girls are competing, how many
different ways could the six medals possibly be given out?

Answers

Answer:

24,024 different ways

Step-by-step explanation:

There are 9 boys and 13 girls competing for the medals. The number of ways to choose 3 boys out of 9 is C(9,3) = 84. The number of ways to choose 3 girls out of 13 is C(13,3) = 286. The total number of ways to choose 6 medals is the product of these two numbers: 84 * 286 = 24024.

PLEASE HELP :(((((((((((((((((

PLEASE HELP :(((((((((((((((((

Answers

Answer:

okay so you multiply the price of the snakes by how much he bought which is $5.00 so you can subtract $5 - $8 and you get $3.00 so that is how much is left over. Now you want to divide $3.00 by 2 and now you get $1.50. So each soda costed $1.50

Answer: $1.50

Step-by-step explanation: 4snacks x 1.25=$5 total

2s for sodas and his total is $8.

Your equation should look like this.

5+2s=8

-5       -5

   2s=3

   2     2

    s= 1.50 for every soda.

pls help asap for brainlest

pls help asap for brainlest

Answers

Answer:

the answer is C ik its right because i did this two days ago so im sure its C

Step-by-step explanation:

It’s actually d because that’s the closest thing to correct

HELP ME WITH THIS QUESTION PLEASE!!!!!!!!!!!!

HELP ME WITH THIS QUESTION PLEASE!!!!!!!!!!!!

Answers

50 maybe

Step-by-step explanation:

because 200 lollipops 4 in each bag

And 150 pencils 3 in each bag

(i dont think this is right)

Solve the following equation. show work. 3x^2 + -4x = 2

Answers

Answer:

\(x_{1\)=-\(\sqrt{2}\) , \(x_{2}\)=\(\sqrt{2}\)

Step-by-step explanation:

3\(x^{2}\)-4=2

3\(x^{2}\)=2+4

3\(x^{2}\)=6  (divide both sides by 3)

\(x^{2}\)=2 (simplify)

x=±\(\sqrt{2}\)

Can I hv help with this pls!!

Can I hv help with this pls!!

Answers

The conversion of the recurring decimals 0.027 and 0.037 to fractions in its simplest form are 0.243/9 and 0.333/9

How to convert recurring decimals to fractions?

Let

the fraction = x

0.027

Multiply by 10

0.027 × 10 = x

= 0.27

Subtract 0.027 from 0.27

0.27 - 0.027 = x

0.243 = x

divide by 9

0.243/9 = x

0.037

= 0.037 × 10

= 0.37

Subtract 0.037 from 0.37

0.333 = x

divide by 9

x = 0.333/9

Hence, 0.243/9 and 0.333/9 is the fraction for the recurring decimals 0.027 and 0.037.

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What shape is the king of the quadrilaterals?

Answers

Square is consider as the king of all the quadrilaterals.

Explanation:

Quadrilaterals are four sided geometrical shape with four vertices, four sides, and four angles enclosed in it.There are six types of quadrilaterals namely trapezium, parallelogram, rectangle, rhombus, square, and kite.

Square is consider as the king of all the quadrilaterals:

Square have all four sides congruent, opposite pair of sides parallel to each other, and measure of each angle is 90 degree.Each of these properties represents different types of quadrilateral.Each angle 90 degree represent rectangle.Opposites are parallel to each other represent parallelogram.All sides are congruent represents rhombus.Square consists property of parallelogram, rectangle, and rhombus.

Therefore, square shape is consider as the king of all the quadrilaterals.

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What is worse Precalculus or AP Computer Science Principles?? I have to decide which class i want.

Answers

Answer:

This question kind of illogical, if it's a one before the other kind.

Explanation:

Computer scince priniples, especially AP, will most likely involve some equations and potential coding. Most of the numbers and coding will most likely involve some level of calc. Even if they didn't, this class indicates that you most likely wish to get into a form of computer science as a career, perhaps computer animation or engineering. Regardless of the path, some understanding of calculus would be immensly helpful in the future if not now. At the end of the day, it really is your call and not some people on a homework helping site, but I would choose precalc.

Note: Im not you, I don't know what you want in life, i'm just guessing here. Regardless, I believe you'll make the best descision my friend :).

HOW DO I DO NUMBER 7 SOMEONE HELPP

HOW DO I DO NUMBER 7 SOMEONE HELPP

Answers

Answer:

Hey there!

p(x)=7x+25

7x+25=60

7x=35

x=5

Let me know if this helps :)

what is the the value of ∣9∣

Answers

Hey there! I'm happy to help!

This symbol is an absolute value symbol. It means that we are looking for that number's distance from 0. There is no such thing as a negative distance; the distances are all positive, so both ∣9∣ and ∣-9∣ have a value of 9.

Have a wonderful day and keep on learning! :D

The width of a rectangle is 8 units less than the length. The area of a rectangle is 9 units. What is the length, in units of the rectangle?

Answers

Answer:

The length would have to be 9, and the width 1

Step-by-step explanation:

l*W 9*1=9

Find the equation that can represent the situation if the sum of two numbers is 56. We also know that the greater number is 4 more than the smaller number.(5 points)

a
x - (x + 4) = 56

b
x (x - 4) = 56

c
x (x + 4) = 56

d
x + (x + 4) = 56

Answers

Answer:

is question correct

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS 10 POINTS

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS 10 POINTS

Answers

1st question

Answer: y = 200x

y = 400

x = 2

400 = 200*2

2nd question

Answer: y = 2x

y = 6

x = 3

6 = 2*3

You are selling tickets at a dance. Individual tickets cost $6, and 2 tickets for a couple cost $10. After the dance, you count $1075 and 195 tickets. Your friend finds $1 near your table and asks if it belongs with the ticket money. Do you think it does?

Answers

The 1 dollars found near the table by your friend is likely the money for the tickets.

How to find if the money belong to the ticket money?

You are selling tickets at a dance. Individual tickets cost $6, and 2 tickets for a couple cost $10. After the dance, you count $1075 and 195 tickets.

let

x = number of individual ticket

y = number of couple tickets = 2x

Therefore, using equation,

2x(10) + 6x = 1075

2x + x = 195

Hence,

20x + 6x  = 1075

3x = 195

x = 195 / 3

x = 65

Hence,

26x = 1075

26(65) = 1690

Therefore, the money on the table is the ticket money because the money is short of the amount of the tickets in dollars.

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What is VII in Roman?

Answers

7

v=5 and if there is an i on the right it pluses one

so 5+1+1=7

The figure(Figure 1) is a graph of Ex. The potential at the origin is -140 V . What is the potential at x=3.0m? Expert Answer. Who are the experts?

Answers

As per the given origin, the potential at x = 3.0m is 143.0V

The term origin in math is referred as the initial point or the starting point from where we begin our calculations or measurements.

Here we have given that the potential at the origin is -140 V.

And we need to find the potential at x = 3.0m.

While we looking into the given question, we have identified that the region of space has a non-uniform electric field that points in the +x-direction and has magnitude and as the reference point, it take the potential at the origin to be -140 V .

Then the electric potential at x=3.0m is calculated as,

=> V(3) - 140 = 3.0

=> V(3) = 143.0

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plz help me thank you so much

plz help me thank you so much

Answers

Answer:

7. b

8. a

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

i dont know mother fucker

Alexia took out a 12-year loan for $72,000 to renovate her home. If her monthly payments are $680, what is the interest rate?

Answers

Answer:

Finding the total accrued amount is necessary before we can determine the interest rate.

Simply multiplying the monthly payment by the number of months in a 12-year period will give us the accrued amount.

144 months in 12 years.

$680 x Monthly Payment

A = 680 * 144

A = $97920

We can use the following formula now that we know the total accrued sum:

A= 97920

P = 72000

t= 12

Let's replace them with our values now.

The percentage value is then obtained by multiplying the r value by 100.

0.03 x 100 = 3%

The interest rate for Alexia is 3%.

Mrs. Mclntire a seventh-grade math teacher, is gradeing papers, three students gave the following responce to the same math problem student one, 1/-2 the second student said -(1/2) student three said -1/2

Answers

Answer:

all of them they have the same answer

Step-by-step explanation:

Suppose you know that ∠S and ∠Y are complementary and that m∠S = 3(m∠Y) − 70°. Find m∠Y. (help pls)

Answers

The measure of angle m∠Y as required to be determined given that the two angles S and Y are complementary is; 40°.

What is the measure of angle Y?

As evident in the task content; ∠S and ∠Y are complementary.

Therefore; m∠S + m∠Y = 90°.

Also, since; m∠S = 3(m∠Y) − 70°.

By substitution;

3(m∠Y) − 70° + m∠Y = 90°

4m∠Y = 160°

m∠Y = 40°.

Ultimately, the measure of angle Y as required is; m∠Y = 40°.

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A company expects that the number N(x) of a product sold during a week is related to the amount spent on advertising by the function N(x)=-6x3+180x²+2250x + 13,000, where x (with 0 ≤x≤25) is the amount spent on advertising in thousands of dollars. What is the point of diminishing returns?
The point of diminishing returns is
(Simplify your answer. Type an ordered pair. Do not use commas in the individual coordinates.)

Answers

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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Help will make you as brain plsss

Help will make you as brain plsss

Answers

THE FIRST ANSWER IS CORRECT

The percentage of sprouted seeds for a single crop can be modeled by a logistic function that is represented by y=100/1+99e^-0.89x. Which statements about the scenario are true? Check all that apply.

The percentage of sprouted seeds for a single crop can be modeled by a logistic function that is represented

Answers

Answer:

A, B, and C

Step-by-step explanation:

A city doubles its size every 79 years. If the population is currently 200,000 what will the population be in 316 years?

Answers

Answer:

800,000

Step-by-step explanation:

316÷79=4

we do 4×200,000 to find the answer.

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