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3 years ago

Recall that the volume of a sphere is given by the formula V = 4/3pi to the 3rd

Mathematics

1 answer:

Kisachek [45]3 years ago

4 0

9514 1404 393

Answer:

1. (256/3)π ft³

2. 33.49 ft³

Step-by-step explanation:

1. Put 4 ft into the formula where r is, then simplify.

V = (4/3)π(4 ft)³ = (256/3)π ft³

2. The radius is half the diameter, so is 2 ft. Put that in the formula, along with the value for π, and do the arithmetic.

V = (4/3)(3.14)(2 ft)³ ≈ 33.49 ft³

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2 years ago

F(x) = x2 + 1 g(x) = 5 – x<br><br> (f + g)(x) =

Gnom [1K]

Answer:

$(f + g)(x) = {x}^{2} - x + 6$

Step-by-step explanation:

We have

$f(x) = {x}^{2} + 1$

and

$g(x) = 5 - x$

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This simplifies to

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4 0

4 years ago

Let f(x) = 3x2 + x − 3 and g(x) = x2 − 5x + 1. Find f(x) − g(x).

Lubov Fominskaja [6]

f(x) - g(x)
=> (3x² + x - 3) - (x² - 5x + 1)
=> 3x² + x - 3 - x² + 5x - 1
=> 3x² - x² + x + 5x - 3 - 1
=> 2x² + 6x - 4

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4 years ago

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