6 / (x+1) = 1/2
x +1 = 12
x = 11
Answer is d ....(11)
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:
y = 3 · 2ˣ
Step-by-step explanation:
Exponential function is:
y = abˣ
Plug in the points:
⅜ = ab⁻³
12 = ab²
Solve the system of equations. Start by dividing the second equation by the first:
12 / ⅜ = (ab²) / (ab⁻³)
32 = b⁵
b = 2
Plug into either equation to find a:
a = 3
Therefore:
y = 3 · 2ˣ
Answer:
The answer is
8 x 24 x 4 x 56 x 37 x 85 = 135260160