Question 2 You are in a room where the temperature is 74°F, and you have made a fresh a cup of hot tea, with an initial

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Question 2 You Are In A Room Where The Temperature Is 74 F And You Have Made A Fresh A Cup Of Hot Tea With An Initial 1 (48.33 KiB) Viewed 40 times

Question 2 You are in a room where the temperature is 74°F, and you have made a fresh a cup of hot tea, with an initial temperature of 209°F. After waiting for exactly 3 minutes, the temperature of the tea is 170°F. The tea must cool to a temperature of 110°F before you can safely drink it. Using Newton's Law of Cooling, determine how many minutes you must wait before you may safely start drinking your tea, starting from when the tea was first made. Express your answer as a decimal that is within 0.005 of the true value. Newton's Law of Cooling The rate at which the temperature of an object changes is directly proportional to the difference between the temperature of the object and the temperature of its surroundings. 25 pts Warning! Only round your final answer according to the problem requirements. Be sure to keep as much precision as possible for the intermediate numbers. If you round the intermediate numbers, the accumulated rounding error might make your final answer wrong. (This is true in general, not just in this problem.)