An antibiotic is applied to a culture of bacteria. The number of bacteria cells remaining in the culture is given by p(t) = 7500/7t2+5, for t >= 0, were t represents elapsed time in seconds. Determine the rate of change with respect to time: p'(t)

What is the probability of throwing several dice with sum equal to 6 (six)? show the ways of possibilities for sum 6 (as the numerator) and the ways of throwing n dices for n = 1, 2, 3, 4 or 5 as denominator for all the questions to earn full credits. (a)throw one die, (b) throw two dice, (c) throw three dice (d) throw 4 dice, (e) throw 5 dice