Strontium-90, a radioactive isotope, is a major product of an atomic bomb explosion, It has a half-life of 32.9 years. a) Calculate the first order rate constant (year) for the nuclear decay. b) Calculate the fraction of "Sr that remains after 22 half-lives. c) Calculate the number of years required for 60.0 percent of "Sr to disappear. d) Calculate the fraction of "Sr that has decomposed after 10 years. Rate constant: Fraction of 0Sr remaining after 22 half-lives: Time for "Sr to disappear: Fraction of "Sr that has decomposed: Card problems: These problems use a standard 52-card deck that has 4 suits (4vA) and 13 cards in each suit (A, 2, 3, ., 10, J, Q, K). a. How many ways are there to deal a five-card hand consisting of three nines and two eights? *... b. How many different 5-card hands include all 4 kings? c. How many different 5-card hands include 4 of a kind and one other card? in order d. Find the number of ways to draw a straight (suit doesn't matter) beginning with a 6 and ending with a 10.