MATHEMATICS HIGH SCHOOL

If x = − 8 and y = 2, evaluate the following expressions: (4y)² −(2x)² =

Answers

Answer 1

Answer:

Answer:

-192

Step-by-step explanation:

x = -8

y = 2

(4y)² −(2x)² =

(4(2))² −(2(-8)² =

(8)² − (-16)² =

64 − 256 = -192

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8. Next, the $50, $25, and $10 gift cards aregiven to 3 of the remaining 6 volunteers. In
how many ways can these cards be given
away? Is this a combination or a
permutation? Explain.
Answer choices:
a. 120; combination because the order
does not matter
b. 20; combination because the order does
not matter
c. 120; permutation because the prizes are
different
d. 20; permutation because the prizes are
different

Answers

There are 20 ways to give away the gift cards. The correct answer is option B. 20; combination because the order does not matter.

How did we get the value?

To determine the number of ways the $50, $25, and $10 gift cards can be given away to 3 of the remaining 6 volunteers, we need to find the number of combinations.

A combination is used when the order of the items does not matter. In this case, the order in which the gift cards are given to the volunteers does not affect the outcome. For example, if Volunteer A gets the $50 card, Volunteer B gets the $25 card, and Volunteer C gets the $10 card, it is the same result as if Volunteer B gets the $50 card, Volunteer A gets the $25 card, and Volunteer C gets the $10 card.

The formula for calculating combinations is:

C(n, r) = n! / (r! × (n-r)!)

Where:

- n is the total number of items (6 volunteers in this case).

- r is the number of items to be chosen (3 gift cards in this case).

- n! represents the factorial of n, which is the product of all positive integers less than or equal to n.

Plugging the values into the formula, we get:

C(6, 3) = 6! / (3! × (6-3)!)

= 720 / (6 × 6)

= 720 / 36

= 20

So, there are 20 ways to give away the gift cards. The correct answer is (b) 20; combination because the order does not matter.

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Answer:

c i think

Step-by-step explanation:

PLEASE HELP, BEING TIMED, WILL GIVE BRAINLIEST!!!! Mr. Romero attached a ramp to the base of a window sill so that the family cat could more easily climb onto it. The ramp is 84 inches long. The window sill is 50 inches above the floor. What is the distance from the base of the ramp to the base of the wall?

Answers

The distance from the base of the ramp to the base of the wall will be 67.5 inches.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

By using Pythagoras' theorem

D² = 84² - 50²

D = √ 84² - 50²

D = √4556

D = 67.5 inches

Therefore the distance from the base of the ramp to the base of the wall will be 67.5 inches.

To know more about the Pythagorean theorem follow

brainly.com/question/343682

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Answer:

$x=\sqrt{84^(2)-50^(2) } =√(7056-2500) =67.5 inches$

Find the value of y in the diagram.

Answers

Answer:

6.3

Step-by-step explanation:

y/9=7/10

cross multiply

10y=63

y =6.3

A survey found that 3 out of 100 people have red hair.On the basis of this survey, how many people in a group of 12,000 people are likely to have red hair?

A.4000

B.360

C.36

D.3

Answers

B is the answer because you cross multiple the two fractions.
$(3)/(100) (x)/(12000)$
3 *12,000=36,000
36,000/100=360

Answer:

THE ANSWER IS 360

please deal with it lol :)

good luck on the test

If 5,x,y,40 are in geometrical progression, find x and y respectively.

Answers

Answer:

x = 10, y = 20

Step-by-step explanation:

Because this is a geometric sequence, we'll call the rate of change z. Because 40 is 3 terms away from 5, we can write 5 * z * z * z = 5z³ = 40.

z³ = 8 → z = 2

Now, we simply multiply 5 by 2 to get x, which is 10, and then we multiply x by 2 to get 10 * 2 = 20 for y. Hope this helps!

Final answer:

To find the values of x and y in the given geometric progression, we use the concept of a common ratio. By setting up equations based on the definition of a geometric progression, we can solve for x and y. In this case, x is 10 and y is 20.

Explanation:

To find the values of x and y in the given geometric progression, we need to identify the common ratio between the terms. In a geometric progression, each term is obtained by multiplying the previous term by the common ratio. Therefore, we have: