3 years ago

Select the expression that is equivalent to (picture)

1 answer:

6 0

The answer to this question is x^(rt + s) since (x^r)^t becomes x^(rt) by the exponent power of a power property. Then multiplying powers of the same base results in the exponents being summed.

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Find the scale factor of a cube with volume 216 ft^3 to a cube with volume 1000 ft^3.

Bad White [126]

Answer:

Scale factor of cube to the smaller cube is 5 : 3.

Step-by-step explanation:

Ratio of the volumes of two cubes = $\frac{\text{volume of large prism}}{\text{Volume of small prism}}$

= $\frac{1000}{216}$

= $\frac{125}{27}$

Scale factor of these cubes = $\sqrt[3]{\text{ratio of the volumes of the cubes}}$

= $\sqrt[3]{\frac{\text{volume of large prism}}{\text{Volume of small prism}}}$

= $\sqrt[3]{\frac{125}{27} }$

= $\frac{5}{3}$

= 5 : 3

Therefore, scale factor of cube to the smaller cube is 5 : 3.

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3 years ago

What is the next number? 2 7 8 3 12 9

Oxana [17]

Answer : 10 or 13
I hope this helped and feel free to pm me!

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3 years ago

Solve each system by substitution method x+y=4 y=3x

valentina_108 [34]

X+y=4 y=3x
x+3x=4
4x=4
divide both sides by 4
x=1

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3 years ago

David rents DVDS from a company that changes a $7.00 monthly fee and $1.50 for each dvd rental. He ends up paying $20.50 for the

serious [3.7K]

1.5x + 7 = 20.5
First subtract 7 from both sides
1.5x = 13.5
Then divide both sides by 1.5
x = 9

Let me know in comments if you have questions

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3 years ago

A piece of plywood was cut so it's length was 7 feet by 3 feet what is the perimeter of the wood

lozanna [386]

7 times 2 will be 14 and 3 times 2 is 6. So you need to add 14 plus 6 and you get 20 :) Hope you enjoy!

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3 years ago

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