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Firdavs [7]
3 years ago
6

Please help me! A soup can, shaped like a cylinder, has a diameter of 3.5 inches and a height of 5 inches. Each serving of soup

is 15 cubic inches. If a can of soup this size costs $1.99, what is the cost for each serving of soup? Round to the nearest cent.
Mathematics
1 answer:
SpyIntel [72]3 years ago
6 0

The cost for each serving of soup is $0.62

<u>Step-by-step explanation:</u>

Diameter =3.5 inches

Radius = 1.75 inches

Height = 5 inches

Each serving of soup = 15 cubic inches

Cost of the can = $1.99

Volume of the can = π(1.75 x 1.75) 5

= (3.14) (3.0625) 5

= 48.08 cubic inches

For 48 cubic inches of soup the cost is $1.99

For 15 cubic inches of soup the coat will be,

Cost = (15x1.99) /48

= $0.62

The cost for each serving of soup is $0.62

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Hope this helps!

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3 years ago
A rock is thrown upward from a bridge that is 57 feet above a road. The rock reaches its maximum height above the road 0.76 seco
bekas [8.4K]

answer:

f(t) = -9.9788169(t -0.76)^2 +57

Step-by-step explanation:

On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the  number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).

now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is f(x)= a(x-p)^2 +q  , where (p,q) is the turning point. now we substitute the turning point

f(t) = a(t-0.76)^2 + 57, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.

0 = a(3.15 - 0.76)^2 + 57

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-9.9788169 = a      then we substitute a to get the quadratic equation therefore f is

f(t) = -9.9788169(t-0.76)^2 +57

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Answer:

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Step-by-step explanation:

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