Newton's Law of Cooling states that if a body with temperature is placed in surroundings with temperature different from , then the body will either cool or warm to temperature T(t) after time t, in minutes, where . A dish of lasagna baked at 375°F is taken out of the oven into a kitchen that is 68°F. After 6 minutes, the temperature of the lasagna is 316.8°F. What will its temperature be 12 minutes after it was taken out of the oven? Round your answer to the nearest degree

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Mathematics, 25.11.2021 05:50 nacho5317

Newton's Law of Cooling states that if a body with temperature $T_{1}$ is placed in surroundings with temperature $T_{0}$ different from $T_{1}$ , then the body will either cool or warm to temperature T(t) after time t, in minutes, where $T(t)=T_{0} +(T_{1} -T_{0})e^{-kt}$ . A dish of lasagna baked at 375°F is taken out of the oven into a kitchen that is 68°F. After 6 minutes, the temperature of the lasagna is 316.8°F. What will its temperature be 12 minutes after it was taken out of the oven? Round your answer to the nearest degree

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