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)
Answer:
9.31 is what I got
So 9.31 feet
Step-by-step explanation:
Answer:
Step-by-step explanation:
90 by 20%
10%=9
20%=18
90-18=62
Hope u understand
Answer:
81
Step-by-step explanation:
Answer:
x = 8.3.
Step-by-step explanation:
According to solve for the length of x, we need to use SOH CAH TOA.
This means...
Sine: Opposite over Hypotenuse
Cosine: Adjacent over Hypotenuse
Tangent: Opposite over Adjacent
In this case, we are given the angle, the hypotenuse, and we need to solve for the adjacent. This means that we will use cosine, since we have the adjacent and the hypotenuse.
cosine(41) = x / 11
x = (cosine(41)) * 11
x = 0.7547095802 * 11
x = 8.301805382
The question asks us to round to the nearest <em>tenth</em>.
So, your final answer is that x = 8.3.
Hope this helps!