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 new length of the garden is 80 ft, the new width is 40 ft, and the total area of the new garden is 3200 ft². The area of the new garden will be 8 times larger than the current one. Jane should make her garden 4 times the current length.
Step-by-step explanation:
Juan's garden is 40 ft in length, he wishes to make the length 2 times longer:
Juan's garden is 10 ft in width, he wishes to make the width 4 times longer:
With a length of 80 and width of 40, the total area of the garden is
Since Juan wanted to make the length 2 times longer and the width 4 times longer, the total area of the garden will be
larger than the current garden.
Jane wants to make her garden 20 times the size. Since she's making her garden 5 times longer in width, she needs to make the length of her garden
4 times longer.
9514 1404 393
Answer:
D'(4, 0)
Step-by-step explanation:
(x, y) ⇒ (x +3, y -2)
D(1, 2) ⇒ D'(1+3, 2-2) = D'(4, 0)
Answer:
hope it helps
Step-by-step explanation:
The given inequality is
The sign of inequality is ≤, it means the points on relation line lie in the solution set.
The related equation of the inequality is
At x=0,
At x=1,
Plot the points (0,0) and (1,-2) on a coordinate plane.
The sign of inequality is ≤, it means we have shade below the line.
The point (-2,4) and (3,-6) are in solution set because,
(True)
(True)
Therefore option A is correct.
The points (1,2) and (1,3) are not in the solution set because,
(False)
(False)
