contestada

A pie with a temperature of 140∘F is taken out of the oven and placed on a windowsill to cool. Its temperature as a function of t minutes is given by

T(t)=68e−0.0174t+72
How long, to the closest minute, will it take for the pie to cool to 80∘F?

Respuesta :

adioabiola

The time taken to the closest minutes for the pie to cool to 80∘F is 123 minutes

Temperature

T(t) = 68e^−0.0174t + 72

80 = 68e^−0.0174t + 72

80 - 72 = 68e^−0.0174t

8 = 68e^−0.0174t

e^−0.0174t = 8/68

e^−0.0174t = 0.11764705882352

  • take natural log of both sides

ln e (−0.0174t) = ln (0.11764705882352)

1 × −0.0174t = -2.1400661634962708

-0.0174t = -2.1400661634962708

  • divide both sides by -0.0174

t = -2.1400661634962708 / -0.0174

t = 122.9923

Approximately,

t = 123 minutes

Learn more about temperature:

https://brainly.com/question/12124788

#SPJ1

Otras preguntas