From the calculation, the growth rate is 0.88.
<h3>What is the growth rate?</h3>
To find the relative growth rate
P1 = Poe^rt
P2 = Poe^rt
Thus;
1920 = Poe^4r ------ (1)
1966080 =Poe^12r -------(2)
P2/P1 gives;
1966080/1920 = Poe^12r/Poe^4r
1024 = e^12r/e^4r
1024 =e^8r
1024 = (e^r)^8
2^10 = (e^r)^8
e^r = 2^1.25
e^r = 2.38
r = ln(2.38)
r = 0.88
The initial size of the culture is;
1920 = Poe^(0.88 * 4)
Po = 1920/e^(0.88 * 4)
Po = 57
The expression for the exact number of bacteria after t hours is
P(t) = 57e^0.08t
The growth (in bacteria per hour) after 9.5 hours is
P(t) = 57e^(0.88 * 9.5)
P(t) = 243544
For the number to reach 72,000;
72,000 = 57e^0.88t
72,000/57 = e^0.88t
ln 126 = ln[e^0.88t]
4.8 = 0.88t
t = 4.8/0.88
t = 5.5 hours
Learn more about exponential growth;brainly.com/question/13674608
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Answer:
24°
Step-by-step explanation:
There are 360° in a rhombus, 180° in a triangle.
If 132° is taken up then that leaves 48° for a triangle, 96° for a rhombus.
Assuming that all of the remaining angles (<1,<2,<3, and <4) are equal, then dividing 48 by 2 or 96 by 4 gets you 24°
Answer:
525 meters
Step-by-step explanation:
Answer: 0.0625
Step-by-step explanation:
0.25/4
Answer:
A
Step-by-step explanation:
this is because a range is simply a collection of numbers that can be found in the domain
and since there is no domain, we assume that the numbers are all in the domain
leading us to our answer a