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(2 points) newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. suppose that the temperature of a cup of coffee obeys newton's law of cooling. if the coffee has a temperature of 185 degrees fahrenheit when freshly poured, and 3 minutes later has cooled to 172 degrees in a room at 66 degrees, determine when the coffee reaches a temperature of 142 degrees. the coffee will reach a temperature of 142 degrees in minutes.