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Leviafan [203]
3 years ago
5

The first four terms of a sequence are 16, 22, 28, 34, …

Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0

Answer:

A.)

Step-by-step explanation:

I feel like it's A.) because the number sequence above continues to go on due to addition of 6 to each number. And now you are adding 6 to 10n because as stated before your supposed to add 6 to each number to get the answer in the sequence.

Hopefully I helped God bless !

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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
3 years ago
5. Juliette works at a department store and earns $11.20 per hour. Last week she worked 32 hours.
tatuchka [14]
$358.40
Gross pay is the amount of money you earn before taxes. So you just have to multiply $11.20 by 32 to get your answer
8 0
3 years ago
Read 2 more answers
6(4-1)? - 5(2) =<br> ILL MAKE BRAINLYIST
Karolina [17]
63-52
11!
Hope this helps
4 0
3 years ago
Read 2 more answers
The table represents some points on the graph of an exponential
lukranit [14]

Answer:

B

Step-by-step explanation:

it between B and c not really sure though

6 0
2 years ago
Hey! I am stuck on this question anyone mind helping me? and tysm for the people who helped me! &lt;3 have a nice day!
Andrej [43]

Answer: 166 2/3m

Step-by-step explanation:

Area of a rectangle = length times width

Length: 16 2/3

To find the width, multiply it by 3/5.

w = 16 2/3 ·  3/5

w = 10

Then, multiply the length by the width.

a = l · w

a = 16 2/3 · 10

a = 166 2/3m

4 0
3 years ago
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