A culture of bacteria has an initial population of 74000 bacteria and doubles every 3 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 13 hours, to the nearest whole number?

Write each expression in exponential form and find its value.| ! 2 x 2 x 2 x 2

The equation of a circle is (x + 4)2 + (y + 6)2 = 16. determine the length of the radius. 10 4 16 8 my flower basket delivers flowers within a 20 mile radius of their store. if this area is represented graphically, with my flower basket located at (5, 2), what is the equation that represents the delivery area? (x - 2)2 + (y - 5)2 = 20 (x - 5)2 + (y - 2)2 = 20 (x + 5)2 + (y + 2)2 = 400 (x - 5)2 + (y - 2)2 = 400

Consider the proof. given: segment ab is parallel to line de. prove: what is the missing statement in step 5?