There are 651.335 million cells in the petri dish after 11 hours and the cells will reach 1 billion cells after 14.068 hours
<h3>How to determine the number of cells after 11 hours?</h3>
The given parameters are:
At t = 0, Bacteria = 140 million
At t = 6, Bacteria = 320 million
This can be represented as:
f(0) = 140
f(6) = 320
An exponential function is represented as:
f(t) = f(0) * r^t
When t = 6, we have:
320 = 140 * r^6
Divide both sides by 140
r^6 = 2.28571428571
Take the 6th root of both sides
r = 1.15
So, we have:
f(t) = f(0) * 1.15^t
Substitute f(0) = 140
f(t) = 140 * 1.15^t
After 11 hours, we have:
f(11) = 140 * 1.15^11
Evaluate
f(11) = 651.33
Hence, there are 651.335 million cells in the petri dish after 11 hours
Time to reach 1 billion cells
This means that
f(t) = 1 billion i.e. 1000 million
So, we have:
1000 = 140 * 1.15^t
Divide by 140
1.15^t = 7.14285714286
Take the logarithm of both sides
t * log(1.15) = log(7.14285714286)
Divide both sides by log(1.15)
t = 14.068
Hence, the cells will reach 1 billion cells after 14.068 hours
Read more about exponential functions at:
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Answer:The equation relating I, r, and k is I =K/r²
Step-by-step explanation:
The intensity, I, of a sound varies inversely with the square of the distance, r, from the source of the sound can be written as
I ∝ 1/r²
Introducing the constant of proportionality, K we have that
I =K x 1/r²
Therefore , the equation relating I, r, and k is I =K/r²
Answer:
The volume of solids is measured in cubic measurements.
Step-by-step explanation:
Examples:
Volume of a cube: V = a^3
Volume of a sphere: 4/3 x pi x r^3
Volume of a triangle: 1/2 x b x h x l
For instance, a sphere with the radius of 5 feet:
4/3 x pi x 5^3 = V
V = 523.6 cubic feet
Answer:
48-20x=21
Step-by-step explanation:
So, we basically have to clear the fractions (get rid of the denominators)
Multiply everything by the LCM of 6 and 8 (24)
24(2)-24(5/6x)=24(7/8)
48-20x=21
Hope this helps!
C.64 and octagon has 8 sides and one side is 8cm so you multiply 8x8
