A.) P(t) = P0exp(kt)
P(20/60) = 40 exp(20k/60)
80 = 40 exp(k/3)
exp(k/3) = 80/40 = 2
k/3 = ln(2)
k = 3ln(2)
b.) P(8) = 40(2)^24 = 40(16777216) = 671088640 cells
d.) Rate of change = exp(8k) = exp(8(3ln(2)) = exp(24ln(2)) = exp(16.6355) = 16777216 cells / hour
e.) P(t) = 40(2)^3t; t in hours
1,000,000 = 40(8)^t
25,000 = 8^t
ln(25,000) = t ln(8)
t = ln(25,000)/ln(8) = 4.87 hours
Answer:
A & B are independent events. A & C, B & C are not independent events.
Step-by-step explanation:
Independent Events are the events, whose occurrences are completely unrelated to each other.
Event A 'Red dice getting 3' & Event B 'Green die getting 4' ; are unrelated to each other. The numbers on red dice & on green dice are not dependent on each other.
Event C 'Red & Green dice numbers showing sum = 7' is dependent on the numbers coming on red & green dice , i.e events A & events B respectively. So, event C is dependent on both events A & B.
Step-by-step explanation:
everything can be found in the picture
Answer- 22 quarters and 4 nickels
Step-by-step explanation: their is a lot of ways to go about this this is just the way I splited this up;)
Answer:
(x,y) -> (-y,x)
Step-by-step explanation:
You get the coordinates of the image provided and apply them to the rule so...
(-3,1) to (-1,-3)
(-2,-4) to (-4,2)
(-4,-4) to (4,-4)
Then, connect the points.
PLZ MARK BRAINLIEST!!!
