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Jasminelane6478
13.08.2020 •
Mathematics
A container of juice is taken from the refrigerator and poured into a pitcher. The temperature of the juice will warm to room temperature over time. The temperature of the juice can be modeled by the following function: f(t)=72−32(2.718)−0.06t, where t is measured in minutes after the juice is taken out of the refrigerator. Use the drop-down menus to complete the explanation of how the function models the juice warming over time.
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Ответ:
(1) The temperature of the juice at t = 0 is 40.
(2) 0
(3) 72
Step-by-step explanation:
The temperature of the juice can be modeled by the following function:
Here t is measured in minutes after the juice is taken out of the refrigerator.
(1)
Compute the temperature of the juice at t = 0 as follows:
Thus, the temperature of the juice at t = 0 is 40.
(2)
Compute the value of
for increasing values of t as follows:
For t = 10;
For t = 20;
For t = 30;
For t = 40;
For t = 50;
For t = 60;
Thus, as time increases the value of
gets closer and closer to 0.
(3)
As the time increases the value of
gets closer and closer to 0.
This leads to f (t) getting closer and closer to 72.
Ответ:
dilation.
Step-by-step explanation: