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Anton [14]
3 years ago
5

Charlotte bought packages of hot dogs for $4 each each package contains 8 hot dogs. If she spent $16 on hot dogs, how many hot d

ogs did she buy
Mathematics
1 answer:
netineya [11]3 years ago
6 0
32 I believe because 4 times 4 is 16 so 8 times 4 is 32
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Step-by-step explanation:

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v=\dfrac h{3x}\implies\dfrac{\mathrm dv}{\mathrm dt}=\dfrac{3x\frac{\mathrm dh}{\mathrm dt}-3h\frac{\mathrm dx}{\mathrm dt}}{3x^2}

By the chain rule,

\dfrac{\mathrm dh}{\mathrm dt}=\dfrac{\mathrm dh}{\mathrm dx}\dfrac{\mathrm dx}{\mathrm dt}

We have

h(x)=4e^{2x-6}-x^2+5\implies\dfrac{\mathrm dh}{\mathrm dx}=8e^{2x-6}-2x

and we're given that x changes at a constant rate of \frac{\mathrm dx}{\mathrm dt}=0.2 thousand people per minute, which means

\dfrac{\mathrm dv}{\mathrm dt}=\dfrac{3x\left(8e^{2x-6}-2x\right)\left(0.2\frac{\text{thousand people}}{\rm min}\right)-3h\left(0.2\frac{\text{thousand people}}{\rm min}\right)}{3x^2}

At the moment x=4 thousand people are in the park, we have h(4)=4e^2-11, so we find

\dfrac{\mathrm dv}{\mathrm dt}=\dfrac{12\left(8e^2-8\right)-3(4e^2-11)}{240}\dfrac{\text{thousand people}}{\rm min}=\dfrac{7(4e^2-3)}{80}\dfrac{\text{thousand people}}{\rm min}

or approximately 2.324 thousand people per minute.

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Step-by-step explanation:

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The answer is two solutions 51 and 5 to the answer
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