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andrew11 [14]
3 years ago
7

A ball was tossed up into the air. The height of the ball as a function of the time the ball is in the air in seconds can be mod

eled by a quadratic function. At the time the ball was initially thrown in the air, it was 7.5 meters off the ground. After 1.25 seconds, the ball was at its maximum height of 15.3125 meters. What was the height of the ball 2 seconds after being thrown
Mathematics
2 answers:
Brut [27]3 years ago
3 0

Answer:

12.5

Step-by-step explanation:

Its the answer I just did it :)

masha68 [24]3 years ago
3 0

Answer:

12.5 meters

Step-by-step explanation:

edge 2020

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A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 505π ft3,
Romashka-Z-Leto [24]

Answer:

radius   x  = 3 ft

height   h = 23,8  ft

Step-by-step explanation:

From problem statement

V(t)  = V(cylinder) + V(hemisphere)

let x be radius of base of cylinder (at the same time radius of the hemisphere)

and h the height of the cylinder, then:

V(c)  = π*x²*h       area of cylinder = area of base + lateral area

                                              A(c)  = π*x²  +   2*π*x*h

V(h) = (2/3)*π*x³   area of hemisphere   A(h)  =   (2/3)*π*x²

A(t)  =  π*x²  +   2*π*x*h +   (2/3)*π*x²

Now A as fuction of x    

total volume   505  = π*x²*h  +  (2/3)*π*x³

h = [505 - (2/3)* π*x³ ]  /2* π*x    

Now we have the expression for A as function of x

A(x) =  3π*x² + 2π*x*h     A(x) = 3π*x² + 505  - (2/3)π*x³

Taking derivatives both sides

A´(x) =  6πx -  2πx²              A´(x) =  0         6x  - 2x²  = 0

x₁  =  0  we dismiss

6 - 2x = 0

x = 3     and   h = [505 - (2/3)* π*x³]/2* π*x

h  =  (505 - 18.84) / 6.28*3

h  = 23,8  ft

7 0
3 years ago
HELP ME I NEED HELP I DO NOT UNDERSTAND THIS :')
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Answer:

-1 I think sorry if its wrong

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Y=2x y=7x + 15 substitution
sergejj [24]

y = 2x \\ y = 7x + 15

Substitute the given value of y into the equation y=7x+15

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Move the variable to the left-hand side and change its sign

2x - 7x = 15

Collect like terms

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Substitute the given value of x into the equation y=2x

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