The answer as a fraction is 14/15
Answer:
<h3>The option B) is correct</h3><h3>Therefore the coordinate of B

is (6,-3)</h3>
Step-by-step explanation:
Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).
<h3>To Find the coordinates of point B:</h3>
- Let the coordinate of A be
is (2,7) respectively - Let the coordinate of B be

- And Let M(x,y) be the mid point of line segment AB is (4,2) respectively
- The mid-point formula is
<h3>

</h3>
- Now substitute the coordinates int he above formula we get

- Now equating we get

Multiply by 2 we get Multiply by 2 we get


Subtracting 2 on both
the sides Subtracting 7 on both the sides


Rewritting the above equation Rewritting the equation

<h3>Therefore the coordinate of B

is (6,-3)</h3><h3>Therefore the option B) is correct.</h3>
30N=2-8N
Subtract 8N from 30N and you get 22N.
22N=2
Divide by 22 on both sides. You get N=2/22
So your answer is N=1/11
Answer:

Step-by-step explanation:
The logistic equation is the following one:

In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.
In this problem, we have that:
Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that
.
The number of fish tripled in the first year. This means that
.
Using the equation for P(1), that is, P(t) when
, we find the value of r.









Applying ln to both sides.


This means that the expression for the size of the population after t years is:

75 and 100.
It is 25% lesser because if you subtract 75 and 100 from each other, you get 25.