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montgomerykarloxc24x
13.02.2020 •
Mathematics
When an object is removed from a furnace and placed in an environment with a constant temperature of 62 °F, its temperature is 1620 °F. One hour after it is removed, the temperature of the object is 1184 °F. Find the temperature of the object 6 hours after the object is removed from the furnace. (Round your answer to 2 decimal places.)
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Ответ:
after 6 hours the temperature of the object will be 297.33 F
Step-by-step explanation:
We can use Newton's Law of Cooling:
here,
In our case were given two conditions:
and
we're going to use these conditions to find the values of C and k
using the first equation:
using the second equation
Putting these values back in the original equation:
considering the 'ln' and 'e' cancel out, this can also be written as:
Now we need to find what the temperature of the object will be at 6 hours.
after 6 hours the temperature of the object will be 297.33 F
Ответ:
The equation of the function is
Y=-25/2x+100
Step-by-step explanation: