If y varies inversely as the square of x, and y = 1/8 when x = 1, find y when x = 5.

Answers

Answer 1

Answer: y = k / x² ( y varies inversely as the square of x )
y = 1/8 when x = 1:
1/8 = k / 1²
8 k = 1
k = 1/8
For x = 5:
y = 1/8 / 5² = 1/8 : 25 = 1/8 · 1/25 = 1/200
Answer: A ) 1/200

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Which expression is a difference of squares with a factor of 5x − 8?25x2 − 16
25x2 + 16
25x2 − 64
25x2 + 64

Answers

Answer:

option (3) is correct.

$25x^2-64$

Step-by-step explanation:

Given : factor 5x − 8

We have to choose an expression out of given option that is a difference of squares with a factor of 5x − 8

Using algebraic identity $a^2-b^2=(a+b)(a-b)$

a difference of squares is written mathematically as $a^2-b^2$

Since one factor is 5x − 8

using identity stated above other factor has be 5x+8

Thus $(5x+8)(5x-8)$

On simplify , we get

$(5x+8)(5x-8)=(5x)^2-8^2=25x^2-64$

Thus, option (3) is correct.

a2 - b2 = (a-b)(a+b)

(5x-8)(5x+8) = 25x2 - 64

answer: 25x2 - 64

If the ratio of men to women in a movie theater is 1.00 when written as a decimal, what must be true?

Answers

what must be true? answer is The ratio of women to men in the theater is 0.50 and this because it would be Number of Men is 1 = Number of Women = 1. Total people = 2. Ratio of women to total = 1

Answer:it’s actually ratio of women to total people in the theater is 0.50

Step-by-step explanation:

A ratio of 1.00 for men to Women indicates that the number of men is equal to the number of women. In other words half of the people in the theater are men and the other half or women. Therefore, the ratio of women to total people must be 1/2 = 0.50

Circle J is located in the first quadrant with center (a, b) and radius s. Felipe transforms Circle J to prove that it is similar to any circle centered at the origin wuth radius r. Which sequence of transformations did Felipe use? a. translate circle J by(x+a, y+b) and dilate by a factor of t/s
b. translate circle J by (x+a, y+b) and dilate by a factor of s/t
c. translate circle J by (x-a, y-b) and dilate by a factor of t/s
d. translate circle J by (x-a, y-b) and dilate by a factor of s/t

Answers

The correct answer for the question that is being presented above is this one: "c. translate circle J by (x-a, y-b) and dilate by a factor of t/s." Circle J is located in the first quadrant with center (a, b) and radius s. Felipe transforms Circle J to prove that it is similar to any circle centered at the origin with radius r.

What formula tells the cost, in dollars, if chocolate chip cookies are $2.50/ dozen and lemon frosteds are $1.50/dozen? let c=number of dozens of chocolate chip cookies;L=number of dozens of lemon frosted; T= total charge

Answers

c= # of dozens chocolate chip cookies= $2.50/dozen

L= # of dozens of lemon frosted= $1.50/dozen

T= total charge

Multiply the number of dozens of chocolate chip cookies by the cost per dozen. Multiply the number of lemon frosted by the cost per dozen. Add those two together to equal the total cost.

T= ($2.50 * c) + ($1.50 * L)
T= $2.50c + $1.50L

ANSWER: T= $2.50c + $1.50L

Hope this helps! :)

Berta determined that the solution is (–2, 3). Which could have been the equation Berta found in step 1? 4x = 0 5x = 10 5x = –10 5x = –25

Answers

The equation that Berta determined could be 5x = - 10.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Berta determined that the solution is (- 2, 3).

From the given options the only x-coordinate value satisfying is

5x = - 10.

As at x = - 2.

5(-2) = - 10.

- 10 = - 10.

The solution (- 2, 3) can also be called as an ordered pair.

learn more about numerical expressions here :

brainly.com/question/29199574

#SPJ2

Answer:

Answer is 5x=-10

Step-by-step explanation:

I just did the assignment.

Select the correct answer.Mary deposited $350 in a bank account that promises 2.8 percent interest compounded continuously. Approximately how many years will it take to reach a balance of $500?

A.
1.43 years

B.
2.80 years

C.
5.55 years

D.
12.77 years

Answers

Answer:

2.80 years

Step-by-step explanation:

beacause it is simple that it will take option B . You

don't have to worry .

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