Acup of hot coffee will, over time, cool down to room temperature. the principle of physics governing the process is newton's law of cooling. the temperature (in degrees fahrenheit) of a cup of coffee can be modelled by the following equation:
f(t)=80+120e^-0.08t

explain, using the structure of the expression 80+120e^-0.08t, why the coffee temperature decreases as time elapses (8 points).

Step-by-step explanation:

f(t) = 80 + 120 e^(-0.08 t)

The exponent is negative, so this is an example of exponential decay.  As t increases, the exponent becomes more and more negative.  So e^(-0.08 t) gets closer and closer to 0.  Meaning f(t) gets closer and closer to 80.

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step-by-step explanation:

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30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared