Halley's law states that the barometric pressure (in inches of mercury) at an altitude of x mi above sea level is approximated by the equation below. p(x) = 29.92e−0.2x    (x ≥ 0) If the barometric pressure as measured by a hot-air balloonist is 23.5 in. of mercury, what is the balloonist's altitude? (Round your answer to two decimal places.)  _________mi

Calculus For The Life Sciences
2nd Edition
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Chapter6: Applications Of The Derivative
Section6.5: Differentials: Linear Approximation
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Barometric Pressure

 Halley's law states that the barometric pressure (in inches of mercury) at an altitude of x mi above sea level is approximated by the equation below.
p(x) = 29.92e−0.2x    (x ≥ 0)
If the barometric pressure as measured by a hot-air balloonist is 23.5 in. of mercury, what is the balloonist's altitude? (Round your answer to two decimal places.)
 _________mi
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