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The amount of airborne particulate pollution p from a power plant depends on the wind speed s, among other things, with the relationship between p and s approximated byp = 64 − 0.01s2.Find the value(s) of s that will make p = 0.

Respuesta :

Answer:

The value of s that will make p = 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:

[tex]p=64 -0.01s^{2}[/tex]

Compute the value(s) of s for which the value of p = 0 as follows:

[tex]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[/tex]

Since wind cannot travel in negative speed, the value of s is 80.