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The equilibrium price is $0 and the equilibrium quantity is 5 units.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the equilibrium values.

Setting Q_d = Q_s, we can equate the equations for demand and supply:

-2Q - 2Q_d = -5 + 3Q_s

Since we know that Q_d = Q_s, we can substitute Q_s for Q_d:

-2Q - 2Q_s = -5 + 3Q_s

Now, let's solve for Q_s:

-2Q - 2Q_s = -5 + 3Q_s

Combine like terms:

-2Q - 2Q_s = 3Q_s - 5

Add 2Q_s to both sides:

-2Q = 5Q_s - 5

Add 2Q to both sides:

5Q_s - 2Q = 5

Factor out Q_s:

Q_s(5 - 2) = 5

Q_s(3) = 5

Q_s = 5/3

Now that we have the value for Q_s, we can substitute it back into either the demand or supply equation to find the equilibrium price. Let's use the supply equation:

P = -5 + 3Q_s

P = -5 + 3(5/3)

P = -5 + 5

P = 0

Therefore, the equilibrium price is $0 and the equilibrium quantity is 5 units.

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EXPLANATION

Replacing the given functions into the following:

Removing the parentheses and simplifying:

Simplifying like terms:

Hence,

Answer:

If Nardia is N and Pierre is P an equation that would represent this problem is 52-3n=p

Answer:

perimeter of the figure =32 units

area of the figure=56 units²

Answer:

39 gym, 21 pool, 19 track.

Step-by-step explanation:

Subtract these from the 3 sports areas

15 people use the gym and the pool.

14 people use the pool and the track.

10 people use the gym and the track.

1 person uses all three facilities.

gym. 65-15-10-1=39

pool. 51-15-14-1=21

track. 44-14-10-1=19

Answer:

23,370

Step-by-step explanation:

Because 18% of 28,500 is 5130 and 28500-5130=23370

Answer:

2.55%

Step-by-step explanation:

You have 11 years to make $500, To do this, take the 11 and multiply it by the percentage, after that, do $2000 divided by 11 x (percentage) answer. Then you will have the difference, which should roughly equal $556, which is slightly over $500 but you can't have it under so this is the best answer.

If the polar coordinate of a point is (9, π/5). Then the cartesian coordiante will be (7.28, 5.29).

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The polar coordimnate is given below.

P(9, π/5)

Then the cartesian coordinate will be

We know that the conversion of the polar coordinate to the cartesian coordinate.

(x, y) = (r cos θ, r sin θ)

Then we have

r = 9

θ = π/5

Then we have

x = 9 cos π/5

x = 7.28

y = 9 sin π/5

y = 5.29

Then the coordinate will be (7.28, 5.29).

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Answer:

P>7

Step-by-step explanation:

Answer:

x=23

Step-by-step explanation:

The angle is 110 degrees, so the angle opposite of that must also be 110 degrees. 110+47=157. 180-157=23.

Answer:

56:72

=76/52=1

=19/13=1

=13:19

Step-by-step explanation:

If you multiply both of the numbers or divide both of the numbers by the SAME number , the ratio is the same

Example    56:72     multiply by 2     =  112 : 144   <===this is the same ratio

     56 :72    multiply by 3.5     = 196 : 252     same ratio

    56:72    multiply by 1/4      =   14 : 18     same ratio  

        etc   etc    

The surface is double-struck R3 represented by the equation y = 3x is a plane. In this equation, y represents the y-coordinate and x represents the x-coordinate.

The equation y = 3x indicates that for every value of x, the corresponding value of y is three times that value of x.  To sketch this plane, we can start by plotting a few points. For example, if we choose x = 0, then y = 3(0) = 0, so we have the point (0, 0). Similarly, if we choose x = 1, then y = 3(1) = 3, so we have the point (1, 3). Connecting these points and extending the line in both directions, we can sketch the plane.

Since the equation is in double-struck R3, it implies that the plane exists in three-dimensional space. However, since the equation does not include a z-term, the plane is parallel to the z-axis and does not change in the z-direction. Therefore, the surface is a flat plane extending infinitely in the x and y directions.

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The expected rabbit population by next April is 486.

The rabbit population in a forest area can be found using the formula y=200(2.7)^0.08t, where y is the expected population, t is the time in months, and 200 is the initial population. To find the expected population by next April, we need to plug in the value of t as 12 (since there are 12 months in a year) and solve for y.

y=200(2.7)^0.08t

y=200(2.7)^0.08(12)

y=200(2.7)^0.96

y=200(2.4315)

y=486.3

Since the question asks for the expected population rounded to the nearest whole number, we can round 486.3 to 486.

Therefore, the expected rabbit population by next April is 486.

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Answer:

S&U or option B

Step-by-step explanation:

I can't do the fancy symbols

Answer:B

Step-by-step explanation:USA Test prep

IM BAD MAN PLZ HELP I HATE MATH

<3

Answer:

B.

Step-by-step explanation:

Answer:

Here we do not have the options, so I will answer in a general way.

We have two statements:

p = A number is greater than 25

q = A number is less than 35

We want to have:

p ^ q is true

This means:

p and q are true.

So, we need to find a number such that both conditions are meet, so we need to find a number N such that

The number N is greater than 25  (from p)

The number N is less than 35 (from q)

So N can be any number between 25 and 35

So, some of the possible values of N are:

N = 26

N = 27

N = 28.6

N = 33

N = 34

Concluding, any number N ∈ (25, 35) can be a solution.

(Note that N = 25 and N = 35 are not solutions)

Answer: 3

Step-by-step explanation:

Answer: pretty sure you multiply

Step-by-step explanation:

The number of permutations is:

39,916,800

To find this, we need to take the quotient between the the factorial of the total number of elements (11 in this case) and the difference between the total and the number we are selectingh (10)

Then the number is:

11p10 = 11!/(11 - 10)! = 11! = 39,916,800

So that is the number of permutations that we can do with 10 elements out of a set of 11 elements.

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Answer:

(n+m) (n-m)=\(n^{2} -m^{2}\)

Step-by-step explanation:

Answer:

1. rhombus

2. trapezoid

3. rectangle

Step-by-step explanation:

Answer:1. Pharrellagram, 2. Trapezoid, Rectangle

Step-by-step explanation:

The probability of the sum equaling 5 is 1/9

From the question, we have the following parameters that can be used in our computation:

Rolling two dice

When two dice are rolled, we have

Outcomes = 36

Sum of 5 = 4

using the above as a guide, we have the following:

P = Sum of 5/Outcomes

substitute the known values in the above equation, so, we have the following representation

P = 4/36

Evaluate

P = 1/9

Hence, the probability is 1/9

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a) The standard form is f(x) = x² + 6x - 1

b)

c) The graph is at the end.

The first question is trivial because the function already is in standard form, so we go to b.

The quadratic is:

f(x) = x² + 6x - 1

The x-value of the vertex is at:

x = -6/2*1 = -3

Evaluating there we get:

f(-3) = (-3)² + 6*-3 - 1= -10

So the vertex is at (-3, -10)

The y-intercept is equal to the constant term, which is -1, so we have (0, -1)

To find the x-intercepts we need to solve:

0 = x² + 6x - 1

The solutions are:

\(x = \frac{-6 \pm \sqrt{6^2 - 4*1*-1} }{2*1} \\\\x = \frac{-6 \pm 4.32 }{2}\)

So the two x-intercepts are at=

x = (-6 + 4.32)/2 = 0.84

x = (-6 - 4.32)/2 = -5.16

So the x-intercepts are at (0.84, 0) and at (-5.16, 0).

Finally, the graph is in the image at the end.

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The probability of rolling an odd number on a die and getting a head on a coin toss is 1/4. Therefore, the correct answer is (c) 1/4.

The probability of two independent events occurring simultaneously: rolling an odd number on a die and getting a head on a coin toss. To find the probability, we'll multiply the probabilities of each event.

1. Probability of rolling an odd number on a die:
There are 3 odd numbers (1, 3, 5) and 6 possible outcomes (1, 2, 3, 4, 5, 6). So the probability is 3/6, which simplifies to 1/2.

2. Probability of getting a head on a coin toss:
There are 2 possible outcomes (heads or tails), and 1 of them is heads. So the probability is 1/2.

Now, we'll multiply the probabilities: (1/2) * (1/2) = 1/4.

So the probability of rolling an odd number on a die and getting a head on a coin toss is 1/4. Therefore, the correct answer is (c) 1/4.

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Answer:

425.39

Step-by-step explanation:

Answer:

Step-by-step explanation:

L = 3x

w = 2x

Area = 294 ft^2

Formula

Area = L * w

Solution

Area = L * w                   Substitute into formula

294 - 3x  *   2x              Combine the right and switch

6x^2 = 294                    Divide by 6

x^2 = 294/6

x^2 = 49                         Take the square root of both sides

√x^2 = √49

x = 7

w = 2*7 = 2x = 14

L  = 3*7 = 3x  =21