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Andre45 [30]
2 years ago
13

Show some different ways you can make 7,502 using hundreds tens and ones

Mathematics
1 answer:
julia-pushkina [17]2 years ago
3 0
  • 75 hundreds and 2 ones
  • 70 hundreds, 5 tens, and 2 ones
  • 750 tens and 2 ones
  • 7,502 ones

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Step-by-step explanation:

Part a

When the ball hits the ground  it has covered the height of zero meters so we replace h(t) with zero

h(t)=-5t^2+40t\\0=-5t^2+40t\\40t-5t^2=0\\5t(8-t)=0\\5t=0 \ \ \ , \ \ \ 8-t=0\\t=0 \ \ \ , \ \ \ t=8\\

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t = 0 seconds is when the ball was thrown and after 8 seconds the balls hits the ground

Part c

The ball reaches its maximum height when the velocity is zero.

So as this functions represents the displacement of the ball h(t) we differentiate it to get the velocity equation, so we differentiate h(t) with respect to t.

v=-10t+40

so now we replace the velocity which is v with a zero because the ball reaches its maximum height when the velocity is zero.

0=-10t+40\\10t=40\\t=40/10\\t=4

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h(t)=-5t^2+40t\\h(4)=-5(4)^2+40(4)\\h(4)=-80+160\\h(4)=80\\

so the maximum height of the ball is 80 meters.

Part d

The y-intercept of the graph is zero, and it represents that there is no initial height covered by the ball or the ball is actually thrown from already a height of x meters, as we can see from the equation the y-intercept is zero which means the height covered by the ball is 0 meters when time is zero.

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Part e

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Graph attached.

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