Find the slope of the line through each pair of points (-20,-4) and (-12,-10)
2 answers:
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Answer:
a) P' = P
where t is step of 6 months
b) 7.7 years
c)1064.67 rabbits/year
Step-by-step explanation:
The differential equation describing the population growth is
Where t is the range of 6 months, or half of a year.
P(t) would have the form of
where is the initial population
After 6 month (t = 1), the population is doubled to 48
Therefore
where t is step of 6 months
b. We can solve for t to get how long it takes to get to a population of 1,000,000:
So it would take 15.35 * 0.5 = 7.7 years to reach 1000000
c.
We need to resolve for k if t is in the range of 1 year. In half of a year (t = 0.5), the population is 48
Therefore,
At the mid of the 3rd year, where t = 2.5, we can calculate P'
rabbits/year
Answer:
Dimensions of the screen are a minimum of 10 inches wide by 8 inches high. The difference between the height and width will be 2 inches
Step-by-step explanation:
a<5 means 'a' can be a = 1, 2, 3, 4
Solving for H for each option of 'a' will give values of 'H' using the quadratic formula below
As 'a' and 'b' must be positive integers, H and W must be positive integers as well,
Based on above possible answers:
Dimensions of the screen are a minimum of 10 inches wide by 8 inches high. The difference between the height and width will be 2 inches