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3 years ago

What is the range of this?

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

6 0

Answer: y ≥ -2 Interval Notation: [-2, ∞)

Step-by-step explanation:

If the domain is x ≥ 0, then plug x=0 into the given equation to find the y ≥ value.

Range: y ≥ 2(0) - 2

y ≥ 0 - 2

y ≥ -2

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3 years ago

Approximately how many times as great is the volume of a grapefruit with a diameter 16 cm as the volume of a lime with a diamete

SIZIF [17.4K]

Answer: The volume of the grapefruit is approximately 8 times as great as the volume of the lime.

Step-by-step explanation:

You need to use the formula for calculate the volume of a sphere. This is:

$V=\frac{4}{3}\pi r^3$

Where "r" is the radius.

Volume of the grapefruit

You know that its diameter is 16 centimeters.

Since the radius is half the diameter, you get that its volume is:

$V_g=\frac{4}{3}\pi (\frac{16\ cm}{2}) ^3\\\\V_g= 2,144.66\ cm^3$

Volume of the lime

According to the information given in the exercise, the diameter of the lime is 8 centimeters.

As it was explained above, the radius is half the diameter. Knowing that, you get that volume of the lime is the shown below:

$V_l=\frac{4}{3}\pi (\frac{8\ cm}{2}) ^3\\\\V_l= 268.08\ cm^3$

In order to find approximately how many times as great is the volume of theat grapefruit as the volume of that lime, you need to divide the volumes calculated above. Then:

$\frac{2,144.66\ cm^3}{268.08\ cm^3}\approx8\ times$

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3 years ago

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Genrish500 [490]

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3 years ago