A frozen hot dog at -32° Fahrenheit is placed in a room at 70° Fahrenheit. After 15 minutes, the temperature of the hot dog is 30° Fahrenheit. (a) Find the value for k in Newton's Law of Cooling. Round your answer to the nearest thousandth. (b) What will the temperature of the hot dog be after 45 minutes? Round your answer to the nearest degree. ° Fahrenheit (c) How long will it take for the hot dog to reach 60° Fahrenheit? Round your answer to the nearest tenth of a minute. minutes

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Q18 Hundred percent accuracy needed Please solve this question correctly
A frozen hot dog at -32° Fahrenheit is placed in a room at 70° Fahrenheit. After 15 minutes, the
temperature of the hot dog is 30° Fahrenheit.
(a) Find the value for k in Newton's Law of Cooling. Round your answer to the nearest thousandth.
(b) What will the temperature of the hot dog be after 45 minutes? Round your answer to the nearest
degree.
° Fahrenheit
(c) How long will it take for the hot dog to reach 60° Fahrenheit? Round your answer to the nearest tenth
of a minute.
minutes
Transcribed Image Text:A frozen hot dog at -32° Fahrenheit is placed in a room at 70° Fahrenheit. After 15 minutes, the temperature of the hot dog is 30° Fahrenheit. (a) Find the value for k in Newton's Law of Cooling. Round your answer to the nearest thousandth. (b) What will the temperature of the hot dog be after 45 minutes? Round your answer to the nearest degree. ° Fahrenheit (c) How long will it take for the hot dog to reach 60° Fahrenheit? Round your answer to the nearest tenth of a minute. minutes
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