MATH SOLVE

3 months ago

Q:
# what answer would this be? Question is attached

Accepted Solution

A:

Answer:0.65mStep-by-step explanation:Given the function as[tex]P(h)=P_0*e^{-0.00012h}[/tex]Lets take the air pressure at the surface of the Earth to be x[tex]P_0=x[/tex]Then 65% of this will be the air pressure P(h)[tex]P(h)=\frac{65}{100} *x=0.65x[/tex]The function will be[tex]0.65x(h)=x*e^{-0.00012h}[/tex]Divide both sides by x[tex]0.65=e^{-0.00012h}\\ \\\\e=2.71828182846\\\\\\0.65=2.7182818284^{-0.00012h} \\\\\\0.65=0.99989h\\\\\\\frac{0.65}{0.99989} =\frac{0.99989h}{0.99989} \\\\\\h=0.65m[/tex]