- <em><u>Answer:</u></em>
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Step-by-step explanation:
There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.
Answer:
(a)
(b)5,832 Mosquitoes
(c)5 days
Step-by-step explanation:
(a)Given an original amount
at t=0. The population of the colony with a growth rate
, where k is a constant is given as:

(b)If
and the population after 1 day, N(1)=1800
Then, from our model:
N(1)=1800

Therefore, our model is:

In 3 days time

The population of mosquitoes in 3 days time will be approximately 5832.
(c)If the population N(t)=20,000,we want to determine how many days it takes to attain that value.
From our model

In approximately 5 days, the population of mosquitoes will be 20,000.
Answer:
The function value would be 6
Step-by-step explanation:
If f(2) then....
f(x) = x + 4
f(2) = 2 + 4
f(2) = 6