A radioactive nucleus of unknown identity is observed to simultaneously decay towards two different but stable decay products, y and z. Both decay pathways are characterized by two separate rate constants, k1 and k2 respectively. Nevertheless, the decay of the radioactive nucleus is characterized by a single half-life. Determine this half-life in hours given k1 = 0.041000 h-1 and k2 = 0.059000 h-1.