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
M. A vertex is a point at which two line segments meet. M is the only point listed and is a point of intersection.
Answer:
1. Change each number to an improper fraction.
2. Simplify if possible.
3. Multiply the numerators and then the denominators.
4. Put answer in lowest terms.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
the pattern is x5 for y, +1 for x
