air pressure may be represented as a function of height (in meters) above the
surface of the earth, as shown below.
p(h) =p..e-0.00012h
in this function, p, is the air pressure at the surface of the earth, and his the
height above the surface of the earth, measured in meters. at what height will
the air pressure equal 50% of the air pressure at the surface of the earth?
a.4166.7m
b.2148.9m
c.5776.2m
d..59m

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3