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3 years ago

Find the point that is symmetric to the point (0,8) with respect to the x-axis, the y-axis, and the origin.

Mathematics

1 answer:

Sergio039 [100]3 years ago

4 0

Here's link to the answer:

tinyurl.com/wpazsebu

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Solve cos 0 = 1 for 0, where 0º = 0 < 90°. A) 60° B) 0° C)90 D)30

german

Answer:

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2 years ago

What is 242 - 198 subtract

kirza4 [7]

The answer would be 44

7 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:

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

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 ]

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

What is the length? In algebra DUE TOMORROW

Mamont248 [21]

The formula for volume is V=lhw, or length times height times weight. To find the length, you divide the volume by the height and width.

In this case, divide 3,060 first by 12, the height, then by 15, the width.

3,060/12=255
255/15=17

The length is 17.

8 0

3 years ago

Which ordered pair would form a proportional relationship with the point graphed below? (60,-20)

valentina_108 [34]

Given:

The graphed point is (60,-20).

To find:

The ordered pair that would form a proportional relationship with the given point.

Solution:

If y is proportional to x, then

$y\propto x$

$y=kx$

$\dfrac{y}{x}=k$

Where, k is the constant of proportionality.

For the given point,

$k=\dfrac{-20}{60}$

$k=\dfrac{-1}{3}$

For option (A),

$k=\dfrac{30}{-10}$

$k=-3\neq \dfrac{-1}{3}$

For option (B),

$k=\dfrac{-15}{30}$

$k=-\dfrac{1}{2}\neq \dfrac{-1}{3}$

For option (C),

$k=\dfrac{10}{-30}$

$k=\dfrac{-1}{3}$ .

The point (-30,10) gives the same value of the constant of proportionality. So, the point (-30,10) forms a proportional relationship with the given point.

Therefore, the correct option is C.

7 0

2 years ago

Find the point that is symmetric to the point (0,8) with respect to the​ x-axis, the​ y-axis, and the origin.

Find the point that is symmetric to the point (0,8) with respect to the x-axis, the y-axis, and the origin.