Answer:
Hey There!
5.2 divided by 0.8 IS 6.5!
Step-by-step explanation:
This means that 0.8 goes into the number exactly 6.5 times...
I HOPE THIS HELPS!!
9514 1404 393
Answer:
(dN)/(dt) = (0.4)/(1200)N(1200-N) -50
142 fish
Step-by-step explanation:
A) The differential equation is modified by adding a -50 fish per year constant term:
(dN)/(dt) = (0.4)/(1200)N(1200-N) -50
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B) The steady-state value of the fish population will be when N reaches the value that makes dN/dt = 0.
(0.4/1200)(N)(1200-N) -50 = 0
N(N-1200) = -(50)(1200)/0.4) . . . . rewrite so N^2 has a positive coefficient
N^2 -1200N + 600^2 = -150,000 +600^2 . . . . complete the square
(N -600)^2 = 210,000 . . . . . simplify
N = 600 + √210,000 ≈ 1058
This steady-state number of fish is ...
1200 - 1058 = 142 . . . . below the original carrying capacity
The answer is 2/3.
(3^2) (x) + 1 = 3x+5
9x+1=3x+5
Subtract 3x on both sides
6x+1=5
Subtract 1 on both sides
6x=4
Divide both sides by 6 then you get 2/3
The answer would be 18/20 or simplified, 9/10.
You need to make the numerator a common denominator.
500 + 0.04(500) = 500 + 20 = 520
500 - 0.04(500) = 500 - 20 = 480
480 < = x < = 520