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A tumor is injected with 0.4 grams of Iodine-125, which has a decay rate of 1.15% per day. To the nearest day, how long will it take for half of the Iodine-125 to decay? days

The temperature T (in F) of a roast beast t minutes after it is removed from the oven is given by T(t) = 73 + 100e -0.02t to. (a) Find TO) T(0) = 1 OF Interpret T0). When it is removed from the oven, the roast beast is TO)°F. When the roast beast is first put into the oven, it is T(0)°F. After it has completely cooled, the roast beast is TO°F. OTO) has no significance. 3 (b) When is the temperature of the roast beast cooler than 85°F? O (0, 50) 0 (-50 In o in(3) 00) O(-0,0) (In(85), 100] O (100 In(12), )

(c) Sketch the graph of y = Tt). у 2001 1000 800 150 600) 100 400 50 200 It 100 20 40 80 60 20 t 100 o 40 60 80 150 150 100 100 50 50 Lt 0 50 100 150 200 250 300 50 100 150 200 ut 300 250

(d) Interpret the horizontal asymptote of the graph of y = T(t). As time goes by, the roast beast will cool to 73°F. As time goes by, the roast beast will cool to 0°F. The roast beast cannot heat up to more than 73°F. The roast beast cannot heat up to more than 173°F.

This exercise uses the population growth model. A certain culture of the bacterium Rhodobacter sphaeroides initially has 50 bacteria and is observed to double every 6 hours. (a) Find an exponential model n(t) = no 2 t/a for the number of bacteria in the culture after t hours. n(t) = (b) Estimate the number of bacteria after 19 hours. (Round your answer to the nearest whole number.) bacteria (c) After how many hours will the bacteria count reach 1 million? (Round your answer to one decimal place.) hr t =