Jimmy pumps 288,000 cubic centimeters of air into a spherical balloon. What is the radius of the balloon?

r ≈ 45. 10 cm

Step-by-step explanation:

Jimmy pumps 288, 000 cm³ of air into a spherical balloon. The radius can be found by using the volume of a sphere formula.

volume of a sphere = 4/3πr³

where

r = radius

volume = 288000 cm³

288000 = 4/3 × π × r³

288000 = 4/3 × 3.14 × r³

12.56r³ = 288000  × 4

12.56r³ = 1152000

divide both sides by 12.56

r³ = 1152000/12.56

r³ = 91719.745223

r = ∛91719.745223

r  = 45.0976882 cm

r ≈ 45. 10 cm

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

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step-by-step explanation: