Answer:

Step-by-step explanation:
The logistic function of population growth, that is, the solution of the differential equation is as follows:

We use this equation to find the value of r.
In this problem, we have that:

So we find the value of r.






Applying ln to both sides of the equality


So
The differential equation is

Answer:
Slope is -93/97
Step-by-step explanation:
To find slope subtract the y's and put that answer in top of a fraction. Then subtract the x's and put that on the bottom of the fraction. If its a smaller number on top and bigger number on the bottom, that is a proper fraction. If the bigger number is on top then it is an improper fraction. If it divides evenly, then the answer will just be a whole number (what the questions calls an integer) All these answers can be positive or negative.
***BUT, you have to start the subtractions with the same point!!!
Let's start with (-2, 95) in front, for both subtractions. (But it could be either point, the answer comes out the same)
Subtract y's: 95-2 is 93.
Subtract x's: -2 - 95 is -97
The slope is 93/-97 it is a proper fraction.
We can put the negative sign in front instead of at the bottom, it looks better.(and is the same)
Slope is -93/97
Answer:
percentage of 0.9% of 1,000
Answer:
"They add up to 180 degrees, because they are a pair of supplementary angles"
Step-by-step explanation:
When parallel lines are cut by transversal, it creates vertical angles (opposite of each other) that are equal AND also supplementary angles (that are adjacent to each other and fall in one line). They add up to 180 degrees.
Looking at the figure, we see angle 1 and 2 fall in one line which is 180 degrees. Thus, angles 1 and 2 are supplementary, they add up to 180 degrees.
The correct choice is "They add up to 180 degrees, because they are a pair of supplementary angles"