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