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3 years ago

The volume of a cube is 512 cubic inches. What is the length if each side of the cube?

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

4 0

Answer:

8 inches

Step-by-step explanation:

Volume of a cube: side length cubed

x^3=512

Taking the cubic root of both sides, we get

x=8

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Evaluate 35/a when a=7.

slega [8]

Answer:

Step-by-step explanation:

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3 years ago

The following image is a function.

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3 years ago

Francesca ran five times as many miles as sophia last year. They ran a total of 3,455 miles. How many miles did each girl run la

uysha [10]

Answer:

Francesca: 2879 1/6 miles
Sophia: 575 5/6 miles

Step-by-step explanation:

For each mile that Sophia ran, Francesca ran 5 miles. Then Sophia ran 1/6 of their total. Sophia ran ...

(1/6)(3455) = 575 5/6 miles

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3 years ago

Find the domain and range of the function below.

Nana76 [90]

ANSWER

Domain: All real numbers

Range:

$[2, \infty )$

EXPLANATION

The given function is

$y = 3 {x}^{2} - 6x + 5$

To find the domain and range of the given function, we complete the square.

$y = 3 ({x}^{2} - 2x )+ 5$

$y = 3 ({x}^{2} - 2x + 1) + 3( - 1)+ 5$

$y = 3 ({x - 1)}^{2} - 3+ 5$

$y = 3 ({x - 1)}^{2} + 2$

The vertex is at (1,2).

The given function is a polynomial and all polynomial functions are defined everywhere.

The domain is all real numbers.

The parabola opens upwards and have vertex at (1,2). Hence the minimum y-value is 2.

The range is

$[2, \infty )$

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3 years ago

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3 years ago