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2 years ago

3

The conversion factor relating miles to meters is 1mile=1610m. The speed of light is 3.00×108 m/s. How fast is this in miles per

hour (miles/h)?

1 answer:

n200080 [17]2 years ago

6 0

Speed of light = 3.00 x 10^8 m/s

1 mile = 1610 m, it implies that 1 m = 1/1610 mile

1 s = 1/3600 hour

Speed of light = (3.00 x 10^8 x (1/1610) mile) / (1/3600) hour

<span>Speed of light = 6.708 x 10^8 miles per hour</span>

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Answer:

$163.54

Step-by-step explanation:

Volume of rectangular container = 10m^3

Length = 2(width)

Material for the base cost $10 per square meter

Material for the side cost $6 per square meter

Volume = L*B*H

L= 2W

V = (2W).W. H

10 = 2W^2.H

H = 10 /2W^2

H = 5/W^2

Let C(w) = cost function

C(w) = 10(L.W) + 6(2.L.H + 2.W.H)

= 10(2W.W) + 6(2.2W.H + 2.W.H)

= 10(2W^2) + 6(4W.H + 2.W.H)

= 10(2W^2) + 6(4W*5/W^2 + 2.W*5/W^2)

= 20W^2 + 6(20/W + 10/W)

= 20W^2 + 6((10+20)/W)

= 20W^2 + 6(30/W)

C(w) = 20W^2 + 180/W

To find the minimum value, differentiate C with respect to w

C'(w) = 40W - 180/W^2

Put C'(w) = 0

0 = 40W - 180/W^2

40W = 180/W^2

40W^3 = 180

W^3 = 180/40

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C = 54.45 + 109.09

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Minimum cost = $163.54

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2 years ago

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Answer:

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2 years ago

Conservation of Species A certain species of turtle faces extinction because dealers collect truckloads of turtle eggs to be sol

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Answer:

The turtle population's rate of growth will be 32 turtles per year after 2 years and 248 per year after 6 years.

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Step-by-step explanation:

To find the rate of growth of the turtle population at any time <em>t</em> you need to find $N'(t)$

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2 years ago

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Answer:

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Step-by-step explanation:

Given the function $f(x)=3x\ sin x$

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Hence, the average of the function is -2.92178

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2 years ago