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ozzi
3 years ago
7

The amount of airborne particulate pollution p from a power plant depends on the wind speed s, among other things, with the rela

tionship between p and s approximated byp = 64 − 0.01s2.Find the value(s) of s that will make p = 0.
Mathematics
1 answer:
Bond [772]3 years ago
3 0

Answer:

The value of <em>s</em> that will make <em>p</em> = 0 is 80.

Step-by-step explanation:

The equation used to describe the relationship between amount of airborne particulate pollution from a power plant and wind speed is:

p=64 -0.01s^{2}

Compute the value(s) of <em>s</em> for which the value of <em>p</em> = 0 as follows:

p=64 -0.01s^{2}\\0=64 -0.01s^{2}\\0.01s^{2}=64\\s^{2}=\frac{64}{0.01}\\ s^{2}=6400\\s=\sqrt{6400}\\s=\pm 80

Since wind cannot travel in negative speed, the value of <em>s</em> is 80.

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