Answer:
300
Step-by-step explanation:
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:
(d). 
Step-by-step explanation:
sin² β + cos² β = 1
cos (α + β) = cos α cos β - sin α sin β
cos α = √(1 - 
) = 21 / 29
cos β = 12 / 13
sin β = √(1 - 
) = 5 / 13
sin α = 20 / 29
cos (α + β) = 
× 
- 
× 
=
Answer:
y = 7/5x - 14 3/5
Step-by-step explanation:
Point-slope form:
y + 9 = 7/5(x - 4)
y + 9 = 7/5x - 28/5
y = 7/5x - 14 3/5
