Complete the paragraph. the volume of prism is the product of the base area and height. therefore, it takes_pyramids of popcorn to fill the _and _have the same base area and height. On the other hand, the volume of a s
Cylinder is the product of the circular base area and height. The volume of a cone is ⅓ the volume of a cylinder with the same base area and height. Consequently, if the big gulp is the cylinder and the little gulp is the cone, it takes _little Gulps to fill_big gulp with the same radii and _.

The volume of a sphere with raduis is 4/3 times the cube of the _wherefore, the sphere does not fill the whole _. In fact, it's volume is ⅔ of the volume of the_.​

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

this would be 35. 35 + 5 = 40. you take the known constant and subtract by the answer of the equation and you get y.