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pickupchik [31]
4 years ago
12

4% of how many days is 56 days

Mathematics
1 answer:
Varvara68 [4.7K]4 years ago
7 0
4% of X days is 56. 0.04x=56, x=56/0.04, x=1400
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PLEASE PLEASE HELP AND I NEED YOU TO DO IT FAST BECAUSE I HAVE TO GO SOON
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The height is modelled by the equation:

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Therefore

\begin{gathered} \text{ } \\ \frac{\text{ dh}}{\text{  dt}}=-0.4t+2 \end{gathered}

At the maximum height dh/dt = 0:

Hence,

\begin{gathered} -0.4t+2=0 \\ -0.4t=-2 \\ \text{ Dividing both sides by -0.4} \end{gathered}\begin{gathered} \frac{-0.4t}{-0.4}=\frac{-2}{-0.4} \\ t=5 \end{gathered}

Hence, the ball gets to the maximum height after 5s.

The maximum height is given by h(5):

h(5)=-0.2(5)^2+2(5)=5

Therefore, the maximum height is 5 ft.

When the ball reaches the ground h(t) = 0:

\begin{gathered} -0.2t^2+2t=0 \\ \text{ Dividing both sides by -0.2, we have:} \\ t^2-10t=0 \\ Factorising\text{ the left hand side, we have} \\ t(t-10)=0 \\ \text{ Therefore,} \\ t=0,\text{ t=10} \end{gathered}

The ball reaches the ground in 10s

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