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irakobra [83]
3 years ago
6

A and b are positive integers and a–b = 3. Evaluate the following: 27^ (1/3 b)/9^ (1/2 a)

Mathematics
1 answer:
maxonik [38]3 years ago
5 0

Answer:

1/27

Step-by-step explanation:

27^(b/3)/9^(a/2) = (27^(1/3))^b/(9^(1/2))^a = (3^b)/(3^a) = 3^(b-a)

= 3^(-(a-b)) = 3^-3 = 1/3^3 = 1/27

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Ilia_Sergeevich [38]

Answer:

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6 0
3 years ago
The length of a rectangle is five times its width.
Marizza181 [45]

ANSWER

96 yd

EXPLANATION

Let the width of the rectangle be w, then, the length of the rectangle will be:

l = 5w

The area of a rectangle is calculated using the formula:

Area=l \times w

Area=5w \times w

Area=5 {w}^{2}

It was given that, the area of the rectangle is 320yd²

320=5 {w}^{2}

Divide both sides by 5.

64 =  {w}^{2}

Take square root of both sides to get:

w = 8yd

This means the length is

l = 5 \times 8 = 40yd

The perimeter of a rectangle is given by:

P=2(w+l)

We plug in the values to get:

P=2(40 + 8) = 2 \times 48 = 96yd

The perimeter is 96yd

5 0
3 years ago
Does anyone know the answer to this?
FrozenT [24]

Answer:

B

Step-by-step explanation:

X is the domain.

The function comes from -∞ and goes to ∞

So B is the answer.

7 0
3 years ago
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Answer:

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Step-by-step explanation:

4 0
3 years ago
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A dog's weight increased by 50% in 3 years. By the end of 3 years, the dog weighed 45 pounds. How much did the dog weigh 3 years
Nina [5.8K]

Answer:

The answer to your question is the letter D. 30 pounds

Step-by-step explanation:

Data

increase = 50%

final weighed = 45 pounds

Process

1.- Use proportions to solve this problem. 45 pounds will be 150% (the initial 100% plus an increase of 50%).

                       45 pounds ------------------ 150%

                          x  pounds -----------------  100%

                          x = (100 x 45)/150

                          x = 4500/150

Result

                         x = 30 pounds              

7 0
3 years ago
Read 2 more answers
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