robertovalencia1021
robertovalencia1021 robertovalencia1021
  • 20-03-2019
  • Mathematics
contestada

I need help solving and understanding this question!!!

I need help solving and understanding this question class=

Respuesta :

Ashraf82
Ashraf82 Ashraf82
  • 20-03-2019

Answer:

h = 3589.9 meters ⇒ answer (D)

Step-by-step explanation:

∵ P(h) = P0 . e^(-0.00012h)

∵ P(h) = 65% of P0

∴ [tex]0.65P_{0}=P_{0}.e^{-0.00012h}[/tex]

∴ [tex]0.65=e^{-0.00012h}[/tex]

∵ Insert ln in both sides

∴ [tex]ln(0.65) = ln(e^{-0.00012h}) = -0.00012h(lne)[/tex]

∵ ln(e) = 1

∴ h = ln(0.65)/-0.00012 = 3589.9 meters

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