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oksano4ka [1.4K]
3 years ago
7

Kevin runs 7 miles in 50 minutes. At the same rate, how many miles would he run in 75 minutes?

Mathematics
1 answer:
lubasha [3.4K]3 years ago
4 0

Answer:

10.5 miles

Step-by-step explanation:

He runs 7/50 of a mile in 1 minute

In 75 min, he runs (7/50) • 75 = 10.5

He runs 10.5 mi in 75 min

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2 years ago
Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).
zzz [600]

Answer:

F(t)=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}

Step-by-step explanation:

We have given F(S)=\frac{7e^{-7s}}{s^2-49}

Now  F(S)=e^{-7s}G(s)

Here G(S)=\frac{7}{S^2-49}

Now first find the Laplace inverse of G(S)

Using partial fraction

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7=A(S-7)+B(S+7)

On comparing the coefficient

A=\frac{1}{2}  and B=\frac{-1}{2}  

On putting the value of A and B  

G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}

Taking inverse Laplace

G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}

Now in G(s) there is onether term e^{-7s}

So F(t)=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}

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3 years ago
I really need help this is 6th grade
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Answer:

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Step-by-step explanation:

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