What is the value of 7P7?

A. 1
B. 14
C. 49
D. 5040

Answers

Answer 1

Answer: The answer is
D. 5040

Answer 2

Answer:

The value of ₇P₇ or P(7, 7) is 5040 after using the permutation formula option (D) 5040 is correct.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

= ₇P₇

Here P represents the permutation:

We can calculate the value of ₇P₇ using the formula:

P(n, r) = n!/(n - r)!

n = 7

r = 7

Plug the above values in the formula:

₇P₇= P(7, 7) = 7!/(7 - 7)!

₇P₇ = 7!/(0)!

₇P₇ = 7!

₇P₇ = 7×6×5×4×3×2×1

The above represents a mathematical operation, Now multiply all the numbers.

₇P₇ = 5040

Thus, the value of ₇P₇ or P(7, 7) is 5040 after using the permutation formula option (D) 5040 is correct.

Learn more about permutation and combination here:

brainly.com/question/2295036

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luke can run a mile in 7 minutes. colleen can run a mile in 5 minutes. at this rate, how much longer would it take luke to run 11 miles than it would take colleen to run 11 miles?

Answers

Speed of a object is defined as the total distance covered in the total time taken. To run 11 miles Luke take 22 minutes longer than the colleen to run 11 miles.

Given information-

Luke can run a mile in 7 minutes.

Colleen can run a mile in 5 minutes.

What is speed?

Speed of a object is defined as the total distance covered in the total time taken. Speed is the ratio of the distance $d$ to the time taken $t$ . Thus,

$s=(d)/(t)$

As Luke can run 1 mile in 7 minutes. Thus the speed of the Luke is,

$s_l=(1)/(7)$

Thus the speed of the Luke is 1/7 miles per minute.

As Colleen can run 1 mile in 5 minutes. Thus the speed of the Colleen is,

$s_c=(1)/(5)$

Thus the speed of the Luke is 1/5 miles per minute.

The total time taken by the Luke to cover the 11 miles with the speed of 1/7 miles per minute is,

$(1)/(7) =(11)/(t)$

Solve for $t$

$t=11* 7}\nt=77$

Hence, the total time taken by Luke to run 11 miles is 77 minutes.

The total time taken by the Colleen to cover the 11 miles with the speed of 1/5 miles per minute is,

$(1)/(5) =(11)/(t)$

Solve for $t$

$t=11* 5}\nt=55$

Hence, the total time taken by Colleen to run 11 miles is 55 minutes.

Extra time taken by Luke to cover 11 miles than Colleen is,

$t=77-55=22$

Hence to run 11 miles Luke take 22 minutes longer than the colleen to run 11 miles.

Learn more about the speed here;

brainly.com/question/2292310

22 because 7 minutes per mile in 11 miles would be 77 minutes, and 5 minutes per mile in 11 miles would be 55 minutes. Therefore it takes Luke 22 more minutes than it takes Colleen to run the mile.

How many pounds is equivalent to 168 ounces

Answers

10.5 pounds is the answer to the question

16 ounces in one pound

168/16 = 10.5

10.5 pounds is the answer

LOOK AT THE ATTACHMENT!!!! 20 POINTS
TRIGONOMETRY
Ill give a brainy answer

Answers

B is the correct. Because if you look at the problem I can turn it around and see

Answer:

Step-by-step explanation:

Find 2 solutions of the equation y=3x-5

Answers

-- point (1, -2)

-- point (10, 25)

(1,-2)
(2,1)
Pick any number and plug it in as x. Ex: 4.
So the equation will now be y=3(4)-5
Next do 3 times 4 which equals 12.
After that do 12-5 which equals 7.
After you do that the equation will look like: y=7
Now take the x and y values and put it as a point: (4,7)

Help! Match each item in Column A to an answer in Column B. Which relations are functions and which are not functions?

Answers

Numbers 1, 2, and 3 are functions because each input has one output

Number 4 is not a function because 5 has two outputs

I hope that helps!

Emily and a friend bought two tickets to see a soccer game . Each ticket cost $8.25. The friends paid a total of $24.50, which included a fee per ticket for parking near the stadium. what is the parking fee as a percent increase in the cost of a ticket?