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Karo-lina-s [1.5K]
3 years ago
9

A runner is 7/8 mile from the finish line. If she can travel 3/8 mile per minute, how long will it take her to finish the race?

Mathematics
1 answer:
slavikrds [6]3 years ago
7 0
About 2 minutes and 33 seconds?
[ I apologize if this is wrong ]
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Find the equivalent fraction for 10/20
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For art class, each student
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Step-by-step explanation:

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3 years ago
D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x
MA_775_DIABLO [31]
The solution depends on the value of k. To make things simple, assume k>0. The homogeneous part of the equation is

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and has characteristic equation

r^2-16k=0\implies r=\pm4\sqrt k

which admits the characteristic solution y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}.

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be y_p=ae^{4x}+be^x. Then

\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x

So you have

16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x
(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x

This means

16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}
b(1-16k)=30\implies b=\dfrac{30}{1-16k}

and so the general solution would be

y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x
8 0
3 years ago
Simplify:<br>(ay<br>8<br>6.<br>5x - 25 30 - 6x​
maw [93]

Answer:

-x - 2530

Step-by-step explanation:

5x - 2530 - 6x

5x - 6x = -x

-x - 2530

6 0
3 years ago
Read 2 more answers
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