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Ilya [14]
2 years ago
10

Trapezoid RSTU with vertices R(-5, 15), S(0, 10), T(-5, 5) and U(-15, 5): scale factor = 1/5, centered at the origin

Mathematics
1 answer:
Colt1911 [192]2 years ago
3 0

Answer:

ILL SEND A PIC HOLD ON ITS EASY

Step-by-step explanation:

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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
Which answer choice identifies the relevant information in the problem? Sarah left the house at 12:15 p.M. To go to the store. S
77julia77 [94]

Answer:

Answer choices A, B and C identifies the relevant information in the problem

Step-by-step explanation:

Sarah left the house at 12:15 pm

She spent $42.20 on two books for her children

She spent $5.67 on a toy for her dog

Sarah arrived home at 1:00 pm

How much did Sarah spent on each book?

If she spent $42.20 on two books for her children,

Then, it means she has two children and the book cost $21.10 each

Answer choices A, B and C identifies the relevant information in the problem

4 0
3 years ago
Which correctly describes a cross section of the cube below? Check all that apply.
dmitriy555 [2]

Answer:

A cross section parallel to the base is a square measuring 4 cm by 4 cm.

A cross section perpendicular to the base through the midpoints of opposite sides is a square measuring 4 cm by 4 cm.

A cross section that passes through the entire bottom front edge and the entire top back edge is a rectangle measuring 4 cm by greater than 4 cm.

Step-by-step explanation:

Cross sections parallel and Perpendicular to the base are squares 4 × 4

The diagonal cross section will be a rectangle with base 4 and height

sqrt(4² + 4²) = 4sqrt(2) > 4

7 0
3 years ago
Read 2 more answers
If f(x) = 3x2 + 1 and g(x) = 1 - X, what is the value of (f – 9)(2)?
bezimeni [28]
The answer is 36 because you have to multiply it and divide getting your the answer.
4 0
3 years ago
Read 2 more answers
(BRAINLIEST)How many solutions does this system have?
max2010maxim [7]

Answer:

Answer:

No solutions

Step-by-step explanation:

6 - 3x = 4 - x - 3 - 2x

6 - 3x = 1 - 3x

6 = 1

No solutions (6 does not equal 1)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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