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ki77a [65]
3 years ago
5

Math help its urgent. I'll mark brainliest!!!

Mathematics
1 answer:
Goshia [24]3 years ago
3 0

It's been such a long time, but I think (1) should be the addition property since your adding 5 to both sides.

And (2) should be the multiplication property due to multiplying both sides by 2.
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Convert. 19 ft = yd ft
Sonja [21]

Answer:

19 ft = 19/3 yd

Step-by-step explanation:

If 3 ft = 1 yd, then 19 ft = 1 yd * 19/3 ft = 19/3 yd

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Find 7/8 x 1/4 write in simplest form
Sav [38]
7/8 x 1/4 =
7/32
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5 0
2 years ago
Suppose a population grows according to the logistic equation but is subject to a constant total harvest rate of H. If N(t) is t
Elenna [48]

Answer:

a) Equilibrium point : [ 947, 53 ]

b) N = 947 is stable equilibrium, N = 53  is unstable equilibrium

c) N0, the population will not go extinct

Step-by-step explanation:

a)

Given that;

r = 2, k = 1000, H = 100

dN/dT = R(1 - N/k)N - H

so we substitute

dN/dt = 2( 1 - N/1000)N - 100

now for equilibrium solution, dN/dt = 0

so

2( 1 - N/1000)N - 100 = 0

((1000 - N)/1000)N = 50

N^2 - 1000N + 50000 = 0

N = 1000 ± √(-1000)² - 4(1)(50000)) / 2(1)

N = 947.213 OR 52.786

approximately

N = 947 OR 53

Therefore Equilibrium point : [ 947, 53 ]

b)

g(N) = 2( 1 - N/1000)N - 100

= 2N - N²/500 - 100

g'(N) = 2 - N/250

SO AT 947

g'(N) = g'(947) =  2 - 947/250 = -1.788 which is less than (<) 0

so N = 947 is stable equilibrium

now AT 53

g'(N) = g"(53) = 2 - 53/250 = 1.788 which is greater than (>) 0

so N = 53  is unstable equilibrium

The capacity k=1000

If the population is less than 53 then the population will become extinct but since the capacity is equal to 1000 then the population will not go extinct.

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3 years ago
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Answer:

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