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Shalnov [3]
3 years ago
7

Mr. Perkins wants to rent a car for a day. It will cost the daily fee of $75 plus $0.55 per mile driven, which expression shows

the amount he will pay if m=the number of miles driven?
A. 75m+.55
B. 75+0.55m
Mathematics
1 answer:
Alla [95]3 years ago
8 0

Answer:

B. 75 + 0.55m

Step-by-step explanation:

We know that the constant is $75. You only pay this once.

Whereas $0.55 you pay per mile. Which means that you will multiply 0.55 by how many miles you drive.

This means that the equation will look like:

75 + 0.55m

Hope this helps! :)

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Suppose that a spherical droplet of liquid evaporates at a rate that is proportional to its surface area: where V = volume (mm3
Alex

Answer:

V = 20.2969 mm^3 @ t = 10

r = 1.692 mm @ t = 10

Step-by-step explanation:

The solution to the first order ordinary differential equation:

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\frac{dVi}{dt} = -k *4pi*r^2_{i} = -k *4pi*(\frac {3 V_{i} }{4pi})^(2/3)\\ V_{i+1} = V'_{i} *h + V_{i}    \\

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V'_{i}  = -k *4pi*(\frac{3*63.88}{4pi})^(2/3)  = -6.182\\V_{i+1} = 63.88-6.182*0.25 = 62.33

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V'_{i}  = -k *4pi*(\frac{3*62.33}{4pi})^(2/3)  = -6.082\\V_{i+1} = 62.33-6.082*0.25 = 60.813

We compute the next iterations in MATLAB (see attachment)

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r(10) = (\frac{3*20.2969}{4pi})^(2/3) = 1.692 mm\\

The average change of droplet radius with time is:

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The value of the evaporation rate is close the value of k = 0.08 mm/min

Hence, the results are accurate and consistent!

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