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cestrela7 [59]
4 years ago
5

Y=x+12 4x+2y=27 algebraically

Mathematics
1 answer:
Licemer1 [7]4 years ago
5 0
4x + 2(x + 12) = 27
4x + 2x + 24 = 27
6x + 24 = 27
6x + 24 - 24 = 27 - 24
6x = 3
x = 3/6 or 1/2
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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.

6 0
4 years ago
A 6000​-seat theater has tickets for sale at ​$28 and ​$40. How many tickets should be sold at each price for a sellout performa
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6 0
3 years ago
Please i need help i’ll give u a brainliest please
Nina [5.8K]

Answer:

V=314.15

Step-by-step explanation:

V=1/3pi*r^2*h

V=1/3*pi*5^2*12

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3 years ago
The tray out a total of 85 snacks I watch 80% or carrot sticks how many characteristics the Desmond bring
kkurt [141]
That doesn't make sense
6 0
3 years ago
Read 2 more answers
2.
Bond [772]
Answer: Choice C) Multiplication property of inequality

The rule basically says that if you start with a < b and you multiply both sides by some positive number c, then a*c < b*c. The sign doesn't flip if you multiply both sides by a positive number.
The sign will flip if c is negative. So we'll go from a < b to a*c > b*c if c is negative.

Example 1:
1 < 5
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Example 2: 
3 < 7
9 < 21 ... multiplied both sides by 3; sign does not flip

Similar rules apply to a > b, a \le b and a \ge b
8 0
4 years ago
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