Answer:
The correct answer is p = K × x × (m - p) , where K is the constant of proportionality and x is the current population of the habitat.
Step-by-step explanation:
A habitat of prairie dogs can support m dogs at most.
Let us consider the current population of the habitat be x.
Given the condition that the habitat's population, p, grows proportionally to the product of the current population (x) and the difference between m and p.
Thus the proportional equation would look like:
p ∝ x × (m - p)
⇒ p = K × x × (m - p) , where K is the constant of proportionality.
Thus the equation describing the above mentioned relationship is given by the above equation.
For this case we have to by definition, if two lines are perpendicular then the product of its slopes is -1.
That is to say:
We have the following equation:
So:
Thus:
Thus, a line perpendicular to the given line must have slope 
Option A:
It is not perpendicular!
Option B:
If it is perpendicular!
Option C:
It is not perpendicular!
Option D:
It is not perpendicular!
The correct option is option B
ANswer:
Option B
The width would be 1 inch.
Given: L = length = 5W; P = perimeter = 2(L+W) = 12 inches
Required: W = width;
Formula: P=2(L+W)
Solution:
12 in = 2 (L + W)
6 in = L + W
6 in = 5W + W
6 in = 6W
1 in = W
Cross check:
P = 2(L + W)
12 in = 2(5 in + 1 in)
12 in = 2(6 in)
12 in = 12 in
Simple,
first find what 19*7 and 3*5 is,
19*7=133
and
3*5=15
Factors in 133:
1,7,19,133
Factors in 15:
1,3,5,15
The GCF of 133 and 15 is 1. You can't simplify/reduce it anymore.
