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:
m= 9/5 n - 3
Step-by-step explanation:
Let's solve for m.
−5m+9n=15
Step 1: Add -9n to both sides.
−5m+9n+−9n=15+−9n
−5m=−9n+15
Step 2: Divide both sides by -5.
-5m/-5 = -9n+15/-5
m= 9/5 n - 3
Answer:
The range of 2x+329:

Step-by-step explanation:
Given the expression

We know that range is termed as the set of values of the dependent variable for which a function is defined.
- We also know that the range of polynomials with odd degree is all the real numbers.
i.e. 
The given expression is a polynomial with an odd degree. Hence, the range of this expression will be all the real numbers.
Thus, the range of 2x+329:

2:3
10:_
2*5=10
3*5=15
a) 15 litres of soda water
b) 10+15 = 25 litres