Answer:
Step-by-step explanation:
rise / run is another way of expressing the tangent.
So when you are told that the rise over run is 35% you mean the rise is 35% of the run.
Another way of expressing this is by saying Tan(theta) = 0.35
theta = tan-1(0.35)
theta = 19.29 degrees.
The answer is A. You can reason this out. 19 degrees is the smallest answer. If it was any larger, do you think an 18 wheeler would be able to make the grade? Likely not.
In place of x you keep 6 and in place of y you keep -2
Putting it in simpler terms
(breaths in) True, <span>The </span>point<span> at which the circle and the line intersect is the </span>point of tangency<span>.</span>
Answer:
dA/dt = k1(M-A) - k2(A)
Step-by-step explanation:
If M denote the total amount of the subject and A is the amount memorized, the amount that is left to be memorized is (M-A)
Then, we can write the sentence "the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized" as:
Rate Memorized = k1(M-A)
Where k1 is the constant of proportionality for the rate at which material is memorized.
At the same way, we can write the sentence: "the rate at which material is forgotten is proportional to the amount memorized" as:
Rate forgotten = k2(A)
Where k2 is the constant of proportionality for the rate at which material is forgotten.
Finally, the differential equation for the amount A(t) is equal to:
dA/dt = Rate Memorized - Rate Forgotten
dA/dt = k1(M-A) - k2(A)
