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2 years ago

Simplify 3(2m^3n^-2)^4

Mathematics

1 answer:

Effectus [21]2 years ago

5 0

Answer:

(48 m^12)/n^8

Step-by-step explanation:

Simplify the following:

3 ((2 m^3)/(n^2))^4

Multiply each exponent in (2 m^3)/(n^2) by 4:

3×2^4 m^(4×3) n^(-2×4)

4 (-2) = -8:

3×2^4 m^(4×3) n^(-8)

4×3 = 12:

(3×2^4 m^12)/(n^8)

2^4 = (2^2)^2:

(3 (2^2)^2 m^12)/(n^8)

2^2 = 4:

(3×4^2 m^12)/(n^8)

4^2 = 16:

(3×16 m^12)/(n^8)

3×16 = 48:

Answer: (48 m^12)/n^8

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LekaFEV [45]

Annual Percentage rate (APR) is calculated by the formula:

APR = 72i / {3P(n+1) + i(n-1)}

where:

i = Interest Rate
P = principal amount borrowed
n = number of months of the loan

Given:

Interest rate = $782.96
Principal amount = $4,000
number of months = 36 months

Substitute the given to the formula:

APR = 72(782.96) / [{3(4000)(36+1)} + {782.96(36-1)}]
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3 years ago

Please help!

Angelina_Jolie [31]

Answer:

Step-by-step explanation:

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3 years ago

Francis works and earns $3437 dollars but on a pay stub pays 42% to tax.

Ludmilka [50]

Answer:

Francis has $1,993.46 left of his pay stub

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2 years ago

Plot all ordered pairs for the values in the domain D: (-8, -4, 0, 2, 6)

alexdok [17]

All ordered pairs for the values in the domain will be (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4).

<h3>What is coordinate geometry?</h3>

Coordinate geometry is the study of geometry using the points in space.

The function is given below.

y = (1/2) x + 1

Then the domain is D: (-8, -4, 0, 2, 6)

Then the ordered pair will be

For x = -8

y = (1/2)(-8) + 1

y = -3

For x = -4

y = (1/2)(-4) + 1

y = -1

For x = 0

y = (1/2)(0) + 1

y = 1

For x = 2

y = (1/2)(2) + 1

y = 2

For x = 6

y = (1/2)(6) + 1

y = 4

All ordered pairs for the values in the domain will be (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4).

More about the coordinate geometry link is given below.

brainly.com/question/1601567

#SPJ1

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1 year ago

A square piece of plastic has a perimeter of 8 cm. how long is each side of the piece of plastic?

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

Since it is a square, all four sides are equal and its perimeter is just

P=4s, so if P=8 then

4s=8, dividing each side by 4 we get

s=2

So each side of the plastic square is 2 centimeters.

8 0

3 years ago

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