A culture of bacteria has an initial population of 9700 bacteria and doubles every 2 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t

=P
0

⋅2
d
t


, where P_tP
t

is the population after t hours, P_0P
0

is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 19 hours, to the nearest whole number?

What is the ratio for the surface areas of rectangle prisims shown below given that they are similar and that the ratio of their edge lengths is 7: 3

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

The standard deviation for a set of data is 5.5. the mean is 265. what is the margin of error?