can you give me a quick run down on how multiplying binomials in the area method and distribution method work.

Based on the given information, it is not possible to determine whether it is a part of the long run or short run without additional data.

The table provided includes the price (P), marginal revenue (MR), quantity (Q), fixed costs (FC), and variable costs (VC). However, it does not specify the time period or provide information about the industry or market conditions.

In the short run, a perfect competitor would continue to produce as long as the price (P) exceeds the average variable cost (AVC). If P > AVC, the firm would produce the quantity (Q) that maximizes its profit or minimizes its losses.

To calculate the output and profit of a perfect competitor, additional information is needed, such as the average total cost (ATC) or the market demand curve. With this information, one can determine the profit-maximizing level of output, which occurs where marginal cost (MC) equals marginal revenue (MR).

Without further data, it is not possible to provide a complete analysis or graph the answers.

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The Matlab & Simulink model consists of a Clock block to generate a time signal, a Gain block to multiply the time signal by 2, and a Differential Equation block to solve the given differential equation. The Scope block is used to visualize the behavior of the variable x over time.

To construct a Matlab & Simulink model for the given mathematical model, we can use Simulink's Differential Equation block and a Clock and Gain block. Here's a step-by-step guide:

1. Open Simulink in Matlab.

2. Drag and drop a Clock block from the Simulink Library Browser into the model.

3. Drag and drop a Gain block from the Simulink Library Browser into the model.

4. Double-click on the Gain block and set the Gain value to 2.

5. Drag and drop a Differential Equation block from the Simulink Library Browser into the model.

6. Double-click on the Differential Equation block and enter the equation `d²x + 3 + 4*x + 6 = 5*cos(2*t)`.

7. Connect the output of the Clock block to the input of the Gain block, and the output of the Gain block to the input of the Differential Equation block.

8. Connect the output of the Differential Equation block to a Scope block from the Simulink Library Browser.

9. Run the simulation.

The Scope block will show the behavior of the value of x over time according to the given mathematical model.

In conclusion, The Clock block provides the independent variable t, and the Differential Equation block evaluates the given equation to compute the value of x. The simulation shows the dynamic response of x as influenced by the equation and the time signal.

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Answer: 5-tenths= 5/10

Step-by-step explanation:

The equation of a curve which intersects at right angles every curve of the family y = 1 / x + k is: y = x^3 / 3. The correct option is D.

The given equation:

y = 1/x + k.

And since y’ = –1 / x^2

So, the desired curve satisfies:

y’ = x^2

From the given equation we get:

dy / dx = –1 / x^2

any suitable function would have the negative reciprocal slope, so:

df / dx = x^2 / 1 = x^2

So, f(x) = x^3 / 3

Hence, the equation that intersects at right angles of  y = 1 / x + k is y = x^3 / 3.

Generally, an intersection curve consists of the common points of two transversally intersecting surfaces, which means that at any common point the surface normal are not parallel. This restriction excludes cases in which the surfaces are touching or have surface parts in common.

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EXPLANATION

Given the operation 18(54)+72(929), by applying the distributive property:

= 972 + 66,888

Adding numbers:

= 67,860

The solution is 67,860

The amount of simple interest owed for the loan is $30,010.00.

A method for determining the proportion of interest paid on a sum over a predetermined period of time at a predetermined rate is called simple interest. In simple interest, the principal amount remains unchanged. A straightforward and simple method for calculating money interest is simple interest.

To calculate the simple interest, we use the formula:

Simple Interest = P * r * t

where P is the principal amount, r is the interest rate as a decimal, and t is the time period in years.

Substituting the given values, we get:

Simple Interest = $15,400 * 0.15 * 13

= $30,010.00

Therefore, the amount of simple interest owed for the use of the loan is $30,010.00.

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The solution to the equation is y = 17/9. So the option D is correct

The real power of equations is that they provide a very precise way to describe various features of the world. (That is why a solution to an equation can be useful, when one can be found. )

To solve for y in the equation 1/3 = 1/6 (y 1/9), we can follow these steps:

Simplify the right side of the equation by finding a common denominator for y 1/9:

1/3 = 1/6 (y + 1/9)

1/3 = (y/6)+(1/54)

To isolate the right-hand y term, subtract 1/54 from both sides of the equation:

1/3 - 1/54 = y/6

18/54 – 1/54 = y/6

17/54 = y/6

Solve for y by multiplying both sides of the equation by 6:

(17/54) * 6 = a

102/54 = a

Simplify by dividing both numerator and denominator by their greatest common factor, which is 6:

17/9 = year

Therefore, the solution to the equation is y = 17/9.

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Answer:

To find the account balance after 17 years, we need to first calculate the annual interest rate. Since the interest is compounded 4 times per year, the effective annual interest rate is equal to (1 + 0.04/4)^4 - 1, which is about 4.169%.

To find the account balance after 17 years, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the initial principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years. Plugging in the values we know, we get:

A = 5360(1 + 0.04169/4)^(4*17)

A = $9,907.35

So the account balance after 17 years will be about $9,907.35.

Given statement solution is :- tan(60°) can be written as the fraction √3/3 using the given special right triangle. Option (c) is correct.

To write tan(60°) as a fraction using a special right triangle, we can use the triangle with side lengths:

a = 1,

b = √3,

c = √3/2.

In this triangle, the angle opposite side a is 30°, and the angle opposite side b is 60°.

We know that tan(theta) is defined as the ratio of the length of the opposite side to the adjacent side. Therefore, in this case, tan(60°) is equal to the ratio of side a to side b.

So, tan(60°) = a/b = 1/√3.

Simplifying the fraction by rationalizing the denominator, we multiply both the numerator and denominator by √3:

tan(60°) = (1/√3) * (√3/√3) = √3/3.

Therefore, tan(60°) can be written as the fraction √3/3 using the given special right triangle.

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Answer:

-3x-7

Step-by-step explanation:

Remember this in mind while solving.

negative + negative = negative.

= −3x−6+(−1)

= -3x-7

Therefore when −3x−6+(−1) is evaluated it is

-3x-7

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given logarithmic expression

STEP 2: Find the value of x

State the rule of logarithm that applies

Apply the rule

Hence, the value of x is approximately 10.56

The goal of maximizing sustainable yield is to find the optimum population size and yield that can be sustained over time. In this case, given the information provided, the optimum population size and yield is 8,750 fish and 750 fish per year respectively.

The first step in finding the optimum population size and yield is to calculate the maximum sustainable yield (MSY) using the equation MSY = 0.5 x R. In this case, R = 10,500 fish, and thus MSY = 0.5 x 10,500 = 5,250 fish. This is the number of fish that can be harvested each year without over-harvesting the population and depleting its resources.
However, the current population size of 3,250 fish is below the MSY, indicating that the population size is already being over-harvested. Therefore, to increase the sustainable yield and maximize it, the population size must be increased.

The optimum population size to maximize the sustainable yield is calculated using the equation:
Optimum Population Size = MSY + (1 - harvest rate) x (current population size - MSY).
In this case, the harvest rate is 1300/10,500 = 0.124. Therefore, the optimum population size is 8,750 fish.
Once the optimum population size is known, the yield can be determined by subtracting the current population size from the optimum population size. In this case, the optimum yield is 8,750 - 3,250 = 5,500 fish. However, since the harvest rate is uniformly distributed throughout the year, the sustainable yield is 750 fish per year (5,500/7.5).

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Organizational culture is defined as the common beliefs, values, attitudes, customs, behaviors, and traditions that characterize a specific organization and determine the manner in which it functions. Organizational culture is set by the manager.

In a corporate or business environment, organizational culture can influence the daily operations of employees. It is the responsibility of managers to create a positive culture that emphasizes teamwork, respect, integrity, and accountability. The manager is an essential individual responsible for establishing and maintaining the organization's culture, which will ultimately define the employee's attitudes, behaviors, and productivity levels. He or she sets the tone for the workplace by creating an environment that fosters collaboration, innovation, and success. Employees need to feel connected to their workplace and colleagues to be motivated to do their best work. If a manager promotes a culture of fear, competition, or dishonesty, employees may become unmotivated or unproductive. An effective manager understands the importance of creating a positive workplace culture and works hard to establish and maintain it. Managers can establish a positive culture by encouraging open communication, providing regular feedback and recognition, fostering a sense of teamwork, creating opportunities for professional development, and setting high standards for performance. Managers must lead by example and demonstrate the behaviors and attitudes that they expect from their employees. They must hold themselves and others accountable for their actions, communicate expectations clearly, and provide support when needed. A positive organizational culture will enable an organization to attract and retain top talent, increase employee engagement, and promote collaboration and innovation.

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Answer:

y = 43

Step-by-step explanation:

47° , y and 90° lie on the straight line AB and sum to 180° , that is

47 + y + 90 = 180

y + 137 = 180 ( subtract 137 from both sides )

y = 43

Answer: 16 units

Step-by-step explanation:

In similar triangles, the sides keep the same ratio, in this case 3:4:5.

Thus, because 12 is 3*4 and 20 is 5*4, x must be 4*4, or 16.

Hope it helps <3 :D

Answer:

1/5

Step-by-step explanation:

You can divide both sides of the fraction by the same number to simplify it

2 and 10 are both multiples of 2, so you can divide both sides by 2

2/2=1

———

10/2=5

Answer:

The multiples of 4 are: 4,8,12,16,20,24,28,32,36,40,44,.

Step-by-step explanation:

so no

Answer:

No

Step-by-step explanation:

A multiple of x is any number that is in the form kx, where k is any integer

Therefore 45/4 should be an integer if it is a multiple.

45/4 = 11.25, which is not an integer

Answer:

0.80

Step-by-step explanation:

I did the math 5 times

Open questions:

Closed questions:

Open questions allow individuals to express their thoughts, feelings, and opinions freely. These questions promote exploration and encourage the respondent to provide unique and personal insights.

Closed questions provide limited options for responses and are useful when seeking specific information or clarifying details. They are used in surveys, assessments etc.

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Answer:

The Median is 75

Step-by-step explanation:

median is the middle number in a set of given numbers

arranging in order will be

30,64,70,80,90,110

the middle numbers are 70 and 80

Median=80+70/2

=150/2

Median=75

The distances between the surveyors are approximately a) Distance between Surveyor A and Surveyor B (AB): 1,615.13 feet. b) Distance between Surveyor B and Surveyor C (BC): 1,647.63 feet.

To find the distances between the surveyors, we can use the law of sines.

a) Distance between Surveyor A and Surveyor B (AB):

Using the law of sines, we have:

AB / sin(∠B) = AC / sin(∠A)

Given that AC = 1,359.2 feet, ∠B = 68°, and ∠A = 55°, we can solve for AB:

AB / sin(68°) = 1,359.2 / sin(55°)

AB = (1,359.2 * sin(68°)) / sin(55°)

Using a calculator, we find that AB ≈ 1,615.13 feet.

b) Distance between Surveyor B and Surveyor C (BC):

Again, using the law of sines:

BC / sin(∠C) = AC / sin(∠B)

Given that AC = 1,359.2 feet, ∠C = 57°, and ∠B = 68°, we can solve for BC:

BC / sin(57°) = 1,359.2 / sin(68°)

BC = (1,359.2 * sin(57°)) / sin(68°)

Using a calculator, we find that BC ≈ 1,647.63 feet.

The complete question is:

Three surveyors have placed themselves at three locations around the edge of a canyon, measuring the angles between them. Surveyor A and Surveyor C are 1,359.2 feet apart.

surveyor B 68°

surveyor A 55°

surveyor C  57°

a) What is the distance between Surveyor A and Surveyor B?

b) Surveyor B and Surveyor C?

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Using the definition of slope, the points (-2 , 6), (0 , 2), and (1 , 0) are collinear.

Three or more points are said to be collinear if they lie on a single straight line.

To determine whether the given points are collinear, use the definition of slope. The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points.

m = (y2 - y1)/(x2 - x1)

Getting the slope of each pair of points:

(-2 , 6) and (0 , 2)

m = (y2 - y1)/(x2 - x1)

m = (2 - 6)/(0 - -2)

m = -4/2

m = -2

(0 , 2), and (1 , 0)

m = (y2 - y1)/(x2 - x1)

m = (0 - 2)/(1 - 0)

m = -2/1

m = -2

(-2 , 6) and (1 , 0)

m = (y2 - y1)/(x2 - x1)

m = (0 - 6)/(1 - -2)

m = -6/3

m = -2

Since collinear points lies on the same line, the slope of any pair of points should be the same. Since the slopes of each pair of points is equal with each other, then they are collinear.

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The required missing values are $2.5 when the cup of milk is 1, $8.75 when the cup of milk is 3.5, and $6.25 when the cup of milk is 2.5.

The table is given in the question as :

Tea (cups) $3.75

Milk (cups) $1.5  $1   $3.5   $2.5

Let the missing value cup of tea would be x when the cup of milk is 1,

The missing value cup of tea would be y when the cup of milk is 3.5,

And the missing value cup of tea would be z when the cup of milk is 2.5,

According to the given question, we can write the ratio as:

$3.75 Tea (cups) : $1.5 Milk (cups) = x Tea (cups) : $1 Milk (cups)

⇒ 3.75 / 1.5 = x / 1

⇒ x = 3.75 / 1.5

⇒ x = $2.5

$3.75 Tea (cups) : $1.5 Milk (cups) = y Tea (cups) : $3.5 Milk (cups)

⇒ 3.75 / 1.5 = y / 3.5

⇒ y = (3.75 / 1.5) × 3.5  

⇒ y = 2.5 × 3.5  

Apply the multiplication operation,

⇒ y = $8.75

$3.75 Tea (cups) : $1.5 Milk (cups) = z Tea (cups) : $2.5 Milk (cups)

⇒ 3.75 / 1.5 = y / 2.5

⇒ z = (3.75 / 1.5) × 2.5  

⇒ z = 2.5 × 2.5  

Apply the multiplication operation,

⇒ z = $6.25

Thus, the required missing values are $2.5 when the cup of milk is 1, $8.75 when the cup of milk is 3.5, and $6.25 when the cup of milk is 2.5.

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Answer:

4x-12

Step-by-step explanation:

2x-5[2x-7(5)}=2x+2x-7-5

4x-12

negative integers are added to each other

Answer:

try 7

Step-by-step explanation:

The area of the sector is 128 square feet.

To find the area of a sector, we can use the formula:

A = (θ/2) * r²

Given:

Diameter = 16 feet

Radius (r) = Diameter/2 = 16/2 = 8 feet

Angle (θ) = 4 radians

Substituting the values into the formula:

A = (4/2) * (8)^2

= 2 * 64

= 128 square feet

Therefore, the area of the sector is 128 square feet.

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Answer:

Statements                                                                       Justifications

E bisects AI, BC bisects AE, FH bisects EI                     Given

AE is congruent to EI                                                       Definition of Bisector

AD is congruent to DE                                                     Definition of Bisector

EG is congruent to GI                                                       Definition of Bisector

If AE is congruent to EI, AD is congruent to DE, and EG is congruent to GI, then AD is congruent to DE, EG, and GI, DE is congruent to AD, EG, and GI, EG is congruent to AD, DE, and GI, and GI is congruent to AD, DE, and EG. Therefore, AD is congruent to EG.

This isn't the best answer and probably won't get you a 100, but it shows effort so...