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The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km) above sea level,

then the pressure P(a) (in mmHg) is approximated by P(a) = 760e-0.13a. Determine the atmospheric pressure at

8.47 km. Round to the nearest whole unit.

Sagot :

Oladayoademosuidn

Answer:

253 mmHg

Step-by-step explanation:

Since the atmospheric pressure, [tex]P(a) = 760e^{-0.13a}[/tex]

when a = height (in km) = 8.47 km, then the atmospheric pressure P(a) is

[tex]P(a) = 760e^{-0.13a}\\P(8.47) = 760e^{-0.13X8.47}\\P(8.47) = 760e^{-1.1011} \\P(8.47 )= 760 X 0.33251 \\P(8.47)= 252.7 mmHg\\[/tex]

P(8.47) ≅ 253 mmHg

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