Answer:
(P(t)) = P₀/(1 - P₀(kt)) was proved below.
Step-by-step explanation:
From the question, since β and δ are both proportional to P, we can deduce the following equation ;
dP/dt = k(M-P)P
dP/dt = (P^(2))(A-B)
If k = (A-B);
dP/dt = (P^(2))k
Thus, we obtain;
dP/(P^(2)) = k dt
((P(t), P₀)∫)dS/(S^(2)) = k∫dt
Thus; [(-1)/P(t)] + (1/P₀) = kt
Simplifying,
1/(P(t)) = (1/P₀) - kt
Multiply each term by (P(t)) to get ;
1 = (P(t))/P₀) - (P(t))(kt)
Multiply each term by (P₀) to give ;
P₀ = (P(t))[1 - P₀(kt)]
Divide both sides by (1-kt),
Thus; (P(t)) = P₀/(1 - P₀(kt))
Answer:
For a given length l and width w, the new perimeter is....
2(l + w) + 8
Step-by-step explanation:
Currently, the rectangle's perimeter is 2(l + w). You knew that.
Now, the question asked you to change l into l + 7, and w into w - 3. Substitute them, so we get
Perimeter New = 2(l + 7 w - 3) = 2 (l + w + 4)
Then, I chose to "pull out" + 4, so I multiply it with the 2. Hence, we get
Perimeter New = 2 (l + w) + 8
The answer is the square root of 23 i.
(The “i” is outside of the square root symbol, and the 23 is positive).
Hope this helps! (:
Answer:
the answer is A on edge 2020
Step-by-step explanation:
hope this helped:)