The cylindrical jar above has a height of 12 centimeters and a radius of 4 centimeters.

The jar contains 20 spherical marbles.
Each marble has a radius of 0.8 centimeters.

Which of the following represents the amount of space in the jar that is NOT occupied by marbles?

A.12π(42)−20(43(0.8π)3)cubic centimeters
B.122(4π)−20(43π(0.8)3) cubic centimeters
C.12(4π)2−20(43(0.8π)3) cubic centimeters
D.12π(42)−20(43π(0.8)3) cubic centimeters

what?

step-by-step explanation:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

set the two equations for y equal to each other. solve for x. this will be the x-coordinate for the point of intersection. use this x-coordinate and plug it into either of the original equations for the lines and solve for y.