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:
I'm guessing y is numerator and 5 is denominator. so y^2/25
Step-by-step explanation:
so if you have the fraction y/5 and you need to square it or raise to the second power you get (y/5)^2. now using the properties of exponents when you get a fraction and need to raise it to a power you square the denominator and numerator which gets you y^2/25. now let's check if it works we can use 5 for y so (5/5)^2 is equal to 25/25 = 1. or (10/5)^2 which is 2^2 = 4. or 100/25 which is 4. so the equation works for the expression.
Answer:
Slope: 7
Step-by-step explanation:
y=mx+b
substitute what you know
7=m
Answer:
the third option 6 squareroot of 5 would be the largest value
Step-by-step explanation:
3 squareroot of 7 is also 63 squareroot
5 squareroot of 3 is also 75 squareroot
6 squareroot of 5 is also 180 squareroot
2 squareroot of 8 is also 32 squareroot
<span>Total numbers of whole number that has a sum of 12.
Let’s start counting
1. 11 + 1 = 12
2. 10 + 2 = 12
3. 9 + 3 = 12
4. 8 + 4 = 12
5. 7 + 5 = 12
6. 6 + 6 = 12
7. 12 + 0= 12
Therefore, there are 7 pairs of whole numbers being added that have a sum of 12.
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