The half life of nickel-63, '53Ni is 100 years. A sample amount has a mass of 170 mg. The element decays according to the following equation: (l.n 2): A(t) = 1706 100 Find the mass of the sample after 450 years. Enter you answer correct to 2 decimal places Number mg Newton's Law of Cooling states that the temperature difference between an object and its surrounding will decay exponentially. We can summarize this statement with the equation: T(t) T5 = (T(0) T.) we15 where T(t) is the temperature at time t, T5 is the temperature of the surroundings, and k is a constant. Suppose a thermometer measures 24.9 C indoors and the thermometer is then brought outdoors where the temperature is 4.6 C. If after 10 minutes, the thermometer reads 20.2 C, use Newton's Law of Cooling to determine the following: (a) What will the reading on the thermometer be after 15 minutes? Enter your answer correct to 1 decimal place. Number (b) After how many minutes from the thermometer being brought outdoors will the reading on the thermometer be 8.8 C? Enter your answer correct to 1 decimal place. Number