2 3 4 5 Simplify. (-v2+3v – 7) + (402+5v+6)
1 answer:
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Answer:
After 2009 the quality of the forests in this country improving.
Step-by-step explanation:
Consider the provided function.
Substitute f'(t)=0.
It is given that (0 ≤ t ≤ 10)
The test interval are (0,5) and (5,10)
For (0 < t < 5) the value of
For (5 < t < 10) the value of
Hence, the function is increasing from (5,10).
t = 0 corresponds to 2004.
Therefore, after 2009 the quality of the forests in this country improving.
The first thing we are going to do is find the area of the field. To do this we are going to use the area of a square formula: 
Were
is the area in square kilometers
is one of the sides of the square
We know for our problem that the side lengths of the field are 0.9 kilometers, so
. Lets replace that value in our formula to find :
Now, to find the population density of the filed, we are going to use the population density formula:
where
is the population density in <span>in burrows per square kilometer
</span>
is the number of burrows
is the are of the field
We know that
and , so lets replace those values in our formula:
We can conclude that the <span>density of prairie dog burrows is approximately 2444 burrws per square kilometer.</span>
Were
We know for our problem that the side lengths of the field are 0.9 kilometers, so
Now, to find the population density of the filed, we are going to use the population density formula:
where
</span>
We know that
We can conclude that the <span>density of prairie dog burrows is approximately 2444 burrws per square kilometer.</span>