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
#SPJ1
Answer:
He climed 3 steps before he started counting the steps.
Step-by-step explanation:
pls mark me as a branliest
Domain is: -∞, ∞
Range is: 16, -∞
You may go the super easy way and choose 1 as the whole number and 0.28 as the decimal number. Then you'd obviously have 
Otherwise, to be a bit more creative, you can observe that
And since 1/25=0.04, you can also choose 7 as the integer, and 0.04 as the decimal to get
Answer:
angle 1 is 39
angle 3 is 51
Step-by-step explanation:
Here, we want to get the value of angle 1 and angle 3
Let’s have the meeting point of the diagonals as E
Hence , ADE is a right triangle
Thus,
39 + angle 3 = 90
angle 3 = 90-39
angle 3 = 51
Furthermore;
we can see that ABD is isosceles, meaning that the base angles are equal
Thus, we have it that;
angle 3 and angle at B (for AEB triangle) are equal in values
So, we can conclude that the angle is 51 too
so if the angle is 51 too, then the triangles ADE and ABE are similar
That simply means angle marked 1 is 39
