Write the Word or Phrase That Best Completes Each Statement $71 ^ { \circ } \mathrm { F }$

Short Answer

Write the word or phrase that best completes each statement or answers the question.
-A thermometer is taken from a room at $71 ^ { \circ } \mathrm { F }$ to the outdoors where the temperature is $14 ^ { \circ } \mathrm { F }$ . Determine what the reading on the thermometer will be after 5 minutes, if the reading drops to $45 ^ { \circ } \mathrm { F }$ after 1 minute. Assume the cooling follows Newton's Law of Cooling:
$$\mathrm { U } = \mathrm { T } + \left( \mathrm { U } _ { \mathrm { O } } - \mathrm { T } \right) \mathrm { e } ^ { \mathrm { kt } } .$$
(Round your answer to two decimal places.)