Question

A jug of buttermilk is set to cool on a front porch, where the temperature is 0°C. The jug was originally at 59°C. If the buttermilk has cooled to 54°C after 30 minutes, after how many minutes will the jug be at 6°C? The jug of buttermilk will be at 6°C after ☐ minutes. (Round the final answer to the nearest whole number as needed. Round all intermediate values to six decimal places as needed.)

Name: a jug of buttermilk is set to cool on a front porch where the temperature is 0c the jug was originally at 59c if the buttermilk has cooled to 54c after 30 minutes after how many minutes will 40984
Uploaded: 2023-02-22T12:30:34-08:00
Duration: 2 min 17 s
Channel: Adi S
Description: a jug of buttermilk is set to cool on a front porch where the temperature is 0c the jug was originally at 59c if the buttermilk has cooled to 54c after 30 minutes after how many minutes will 40984

          A jug of buttermilk is set to cool on a front porch, where the temperature is 0°C. The jug was originally at 59°C. If the
buttermilk has cooled to 54°C after 30 minutes, after how many minutes will the jug be at 6°C?
The jug of buttermilk will be at 6°C after ☐ minutes.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to six decimal places
as needed.)

a jug of buttermilk is set to cool on a front porch where the temperature is 0c the jug was originally at 59c if the buttermilk has cooled to 54c after 30 minutes after how many minutes will 40984

Added by Jose H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

02/22/2023

Step 1

e. the temperature of its surroundings). $$ \frac{dT}{dt} = k(T - T_a) $$ where $T$ is the temperature of the object at time $t$, $T_a$ is the ambient temperature, and $k$ is a constant. In this case, $T_a = 0$. So, $$ \frac{dT}{dt} = kT $$ $$ \int \frac{dT}{T} = Show more…

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A jug of buttermilk is set to cool on a front porch, where the temperature is 0°C. The jug was originally at 59°C. If the buttermilk has cooled to 54°C after 30 minutes, after how many minutes will the jug be at 6°C? The jug of buttermilk will be at 6°C after ☐ minutes. (Round the final answer to the nearest whole number as needed. Round all intermediate values to six decimal places as needed.)