Question

P(h)=P*oe^-0.00012h
In the function Po is the air pressure at the surface of the earth and h is the height above the surface of the earth, measured in meters. At what height will the air pressure be 50% of the air pressure on the earths surface?
4166.7m
0.59m
2148.9m
5776.2m

Answer 1

\[P(h)=P_o e^{-0.00012h}\]

did you mean this?

if so, do you see the solution?!

Answer 2

yes that is what i meant

Answer 3

so isnt it just P9h)=.50^-0,00012h

Answer 4

P(h)=.50^-0.00012h

Answer 5

@IrishBoy123 now what?

Answer 6

\[P(h) = P_{o} e^{−0.00012 \ h} \\ P(0)=P_{o} e^{−0.00012 \ (0)} = Po \\ P(H)=P_{o} e^{−0.00012 \ H} = \frac {1}{2}Po \]
\[e^{−0.00012 \ H} = \frac {1}{2}\]


Solve

Answer 7

so ln(.5)/-0.00012

Answer 8

-0.00012H = ln (1/2)
0.00012H = ln (2)
H = ln (2) / 0.00012

same thing as yours

but do you really agree with this? it's your project after all!!

Answer 9

yes i agree