Please answer the last questions.
Item:
The population of California was 10,852,289 in 1960 and 23,198,080 in 1980. Assume the population grows exponentially. Find the time required for the population to double (in years). Round your answer to two decimal places. Hint: assume that 1960 corresponds to t=0.
If 280 mg of a radioactive element decays to 240 mg in 58 hours, find the half-life of the element. The decay rate r needs to be rounded to 8 decimal places to obtain an accurate value for the half-life h.
Newton's Law of Cooling for the temperature T of an object at time t is given by T(t) = T + (T0 - T)e^(-kt), where T is the initial temperature of the object, T0 is the surrounding temperature, and k is a positive constant that depends on the type of object. This law is used in homicide investigations to determine the time of death. The normal body temperature is 98.6°F. Immediately following death, the body begins to cool. It has been determined experimentally that the constant in Newton's Law of Cooling is approximately 0.1947. Assuming that time is measured in hours, suppose that the temperature of the surrounding is 60°F. If the temperature of the body is now 65°F, how long ago was the time of death? Round your answer to the nearest tenth of an hour. Friday, April 21, 2023.
