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 =
Number of people wearing red pants
= 200/100 x 15
= 30
Those who wear both red shirts and red pants is 30.
Therefore the percentage is
= 30/500 x 100%
= 6%
Answer: -3√5 + 10√3
Step 1: Find the prime factorization of the number inside the radical.
Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.
Step 4: Simplify the expressions both inside and outside the radical by multiplying.
<span>The correct option is: A. f(x) = 4sin(x − π/2), because:
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1. When you evaluate x=π/2 in the function f(x) = 4sin(x − π/<span>2), you obtain:
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f(π/2) = 4sin(π/2− π/2)
f(π/2) = 4sin(0)
f(π/2) = 4(0)
f(π/2) = 0 (As you can see in the graphic)
2. If you evaluate x=π in the same function, then you have:
f(π) = 4sin(π− π/2)
f(π) = 4sin(π/2)
f(π) = 4 (As it is shown in the graphic)
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Formula
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Surface area = 2πr² + 2πrh
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Find Surface Area
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Total surface area = 2 x π x (13.5)² + 2 x π x (13.5) x (90)
Total surface area = 364.5π + 2430π
Total surface area = 2794.5π
Total surface area = 8774.73 unit² (Take π as 3.14)
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Answer: 8774.73 unit²
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