PLEASE ANSWER!! A prop for the theater club's play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. Complete
sentences

Volume of prop = 706.5 in³

Step-by-step explanation:

Given:

Radius = 5 in

Height = 17 in

Find:

Volume of prop

Computation:

Volume of prop = Volume of cone + Volume of hemi-sphere

Volume of prop = 1/3(π)(r²)(h) + 2/3(π)(r)³

Volume of prop = 1/3(3.14)(5²)(17) + 2/3(3.14)(5)³

Volume of prop = 444.83 + 261.67

Volume of prop = 706.5 in³

the number of the people going.

step-by-step explanation:

the cost to buy one movie ticket is $7. if the total cost for the movie is a function of how many people go, then the input is : the number of the people going.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)