A roasted turkey is served at a dinner party. It starts to cool according to Newton's Law of Cooling, Its temperature T$,$ measured in degrees Fahrenhelt, afier $t$ minutes is given by

$T(t)=66252e^{-0\mathrm{.}08t}$

a$.$ What is the initial temperature of the food?

$$ depress Philicatiett

b$.$ What is the temperature after $6$ minutes? $($Round your answer to three decimal places.$)$

$$ degrees Filliraheit

c$.$ How long will it take from the time the food is served until the temperature is $120$ degrees Fahrenbelt? $($Round your answer to chree decimal places$)$

$$ minutes