SOLUTION: T(t)=70+(180-70)e^-(5/46)(2)

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Question 1201613: T(t)=70+(180-70)e^-(5/46)(2)
Found 2 solutions by greenestamps, math_tutor2020:
Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


(1) The function is not clear. The sequence of characters "e^-(5/46)(2)" can't be interpreted by the software on this forum; and I don't know what is is supposed to mean.

(2) You didn't ask a question....

Re-post, showing the function clearly, and asking your question


Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

This appears to be a Newton's Law of Cooling problem.

One template for these types of problems would be

where
a = ambient temperature
b = object's temperature
e = the special constant 2.71828...
k = some other constant
T = Temperature at time x

It looks like you have:
a = 70
b = 180
k = -5/46
x = 2

So,





This is the approximate temperature of the object at x = 2 units of time
I'm assuming you have the correct k value.

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