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solniwko [45]
3 years ago
5

A soccer ball is kicked from the ground at an upwards velocity of 90 feet per second. The equation h(t)=-16t^(2)+90t gives the h

eight of the ball after t seconds. How many seconds will it take for the ball to reach its maximum height?
I need help figuring this out to help my grade
Mathematics
1 answer:
garri49 [273]3 years ago
5 0

Answer: 2.81 s

Step-by-step explanation:

Given

Ball is kicked upward with velocity u=90\ ft/s

Height of the ball is given by the function h(t)=-16t^2+90t

Derivative of a function gives the maxima or minima at certain point

\Rightarrow \dfrac{dh}{dt}=-32t+90\\\\\Rightarrow \dfrac{dh}{dt}=0\\\\\Rightarrow -32t+90=0\\\\\Rightarrow t=\dfrac{90}{32}\\\\\Rightarrow t=2.81\ s

Thus, it takes ball 2.81 s to reach the top.

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VMariaS [17]

Answer:

x=-1 or 7

Step-by-step explanation:

We use casework on when 3x-9=12 and when 3x-9=-12.

For the first case, 3x-9=12, we add 9 to both sides to get

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Dividing both sides by 3 gives

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For the second case, 3x-9=-12, we add 9 to both sides to get

3x=-3.

Dividing both sides by 3 gives

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Checking both cases, we plug in x=7 and x=-1.

For the first case, we have |3(7)-9|=|21-9|=|12|=12,  which satisfies the equation.

For the second case, we have |3(-1)-9|=|-3-9|=|-12|=12, which also satisfies the equation.

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2 years ago
one of the students wants to make a tabletop shaped like a right triangle the tabletop will have the same area as the tabletop s
Paha777 [63]
The area of the given figure is equal to the area of a rectangle with sides 5 feets by 6 feets less the area of four square cut-outs of side 1 feet.
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3 years ago
PLEASE HELP ME!!!!!!!!
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Answer:

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Step-by-step explanation:

We're not sure what "system of equations" is being referenced here, since no equations are shown or described.

__

Perhaps your "system of equations" is ...

  f(x) = some equation

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Then the solution to this system of equation is the pair of values (x, y) that gives ...

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If x represents the month number, then the solution can be read from the table:

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This is the month in which exports and imports were equal. Both numbers were 4 in February.

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4 years ago
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Nadya [2.5K]

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