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3 years ago

Complete the following statement: f(3)=_____

Mathematics

1 answer:

victus00 [196]3 years ago

4 0

Using this equation, f(3) = 23.

In order to find the value of f(3), we need to take the f(x) equation and put 3 everywhere we see x. Then we follow the order of operations to solve. So, let's start with the original.

f(x) = 2x^2 + 5sqrt(x - 2)

Now place 3 in for each x.

f(3) = 2(3)^2 + 5sqrt(3 - 2)

Now square the 3.

f(3) = 2(9) + 5 sqrt(3 - 2)

Do the subtraction inside of the parenthesis.

f(3) = 2(9) + 5sqrt(1)

Take the square root

f(3) = 2(9) + 5(1)

Multiply.

f(3) = 18 + 5

And add.

f(3) = 23

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3 years ago

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cylinder volume: 942 m³
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Step-by-step explanation:

A. The formula for the volume of a hemisphere is ...

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V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³

B. The formula for the volume of a cylinder is ...

V = πr²h

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V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³

C. Then the total volume is ...

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Rounded to the nearest integer, the volumes are ...

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composite figure volume: 1204 m³

_____

As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.

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