Answer:
D = L/k
Step-by-step explanation:
Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is
dA/dt = in flow - out flow
Since litter falls at a constant rate of L grams per square meter per year, in flow = L
Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow
So,
dA/dt = in flow - out flow
dA/dt = L - Ak
Separating the variables, we have
dA/(L - Ak) = dt
Integrating, we have
∫-kdA/-k(L - Ak) = ∫dt
1/k∫-kdA/(L - Ak) = ∫dt
1/k㏑(L - Ak) = t + C
㏑(L - Ak) = kt + kC
㏑(L - Ak) = kt + C' (C' = kC)
taking exponents of both sides, we have

When t = 0, A(0) = 0 (since the forest floor is initially clear)


So, D = R - A =

when t = 0(at initial time), the initial value of D =

+1,-1 and your other would be 1,1
Answer:
Step-by-step explanation:
1/3 0.333 repeated 0.333 times 100 =33.333…%
There are 52 cards in a deck.
First we find the probability of drawing a 2
There are 4 cards that shows 2
Probability of drawing a 2 card fro 52 cards = 4 / 52
We know that P( not A) = 1 - P(A)
So the probability (not dealt a 2) = 1 - probability (dealt a 2)
= 1 - 4/52
= (52 - 4)/ 52 = 48/52
Now we simplify the fraction
48/ 52 = 12/13
Hence, the probability( not dealt a 2) = 12/13