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

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

i think the correct option is the second option.