The answer to the question is (2,-2) d
What number divided by 3 gives 12 as the result? A. -36 B. -4 С. 4 D. 36
1 answer:
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Answer:
.894
Step-by-step explanation:
First thing to do is to solve for the height of the triangle, BD. That's easy. We have the length of the hypotenuse and the base, so Pythagorean's Theorem gives us that the height is 8.003255588 which rounds nicely to 8. Now you have to call on the fond memories you have of the geometric mean in right triangles to solve the rest. For the sin of x you need the hypotenuse of that smaller right triangle on the left, side AB. First let's use geometric mean to find AD. The formula for that, now that we know the height, is
Filling that in with numbers we have
and
64 = 16(AD). Solve for AD to get that AD has a length of 4. Now we know two of the three sides in that smaller triangle on the left and can solve for the hypotenuse.
and
so
c=√80 which simplifies to 4√5. That means that the sin ratio for x is
which divides out to .894
Answer:
a) k=2.08 1/hour
b) The exponential growth model can be written as:
c) 977,435,644 cells
d) 2.033 billions cells per hour.
e) 2.81 hours.
Step-by-step explanation:
We have a model of exponential growth.
We know that the population duplicates every 20 minutes (t=0.33).
The initial population is P(t=0)=58.
The exponential growth model can be written as:
For t=0, we have:
If we use the duplication time, we have:
Then, we have the model as:
The relative growth rate (RGR) is defined, if P is the population and t the time, as:
In this case, the RGR is k=2.08 1/h.
After 8 hours, we will have:
The rate of growth can be calculated as dP/dt and is:
For t=8, the rate of growth is:
(2.033 billions cells per hour).
We can calculate when the population will reach 20,000 cells as: