1
Find a point-slope form for the line with slope
5
and passing through the point (-2,-8).

Answer:

The answer is 6

Answer:

100ft

Step-by-step explanation:

The numerical values of the Nash equilibrium prices for Firm X and Firm Y are PX = 64 and PY = 8, respectively

In a duopoly market with two firms, X and Y, the demand functions and marginal cost for each firm are given. To find the "best responses" for each firm, we need to determine the optimal price for each firm in terms of the rival's price. Subsequently, we can find the Nash equilibrium prices, where both firms play their best responses simultaneously.

For Firm X:

ProfitX = (90 - 3PX + 2PY - 10) * PX

Taking the derivative with respect to PX and setting it equal to zero:

d(ProfitX) / dPX = 90 - 6PX + 2PY - 10 = 0

Simplifying the equation:

6PX = 80 - 2PY

PX = (80 - 2PY) / 6

For Firm Y:

ProfitY = (90 - 3PY + 2PX - 10) * PY

Taking the derivative with respect to PY and setting it equal to zero:

d(ProfitY) / dPY = 90 - 6PY + 2PX - 10 = 0

Simplifying the equation:

6PY = 2PX - 80

PY = (2PX - 80) / 6

These equations represent the best responses for each firm in terms of the rival's price.

To find the numerical values of the Nash equilibrium prices, we need to solve these equations simultaneously. Substituting the expression for PY in terms of PX into the equation for PX, we get:

PX = (80 - 2[(2PX - 80) / 6]) / 6

Simplifying the equation:

PX = (80 - (4PX - 160) / 6) / 6

Multiplying through by 6:

6PX = 480 - 4PX + 160

10PX = 640

PX = 64

Substituting this value of PX into the equation for PY, we get:

PY = (2 * 64 - 80) / 6

PY = 8

Therefore, the numerical values of the Nash equilibrium prices for Firm X and Firm Y are PX = 64 and PY = 8, respectively.

Learn more about Nash Equilibrium here:

brainly.com/question/28903257

#SPJ11

Answer:

Im prett sure its 7/8

Step-by-step explanation:

The additive inverse of a number is a number that, when added, goes to zero. For example, 7 is -7 because when added it equals 0 (or 7-7)

Answer:

hope this helps

-183r+10r^2+649

Answer:

-183r+10r^2+649

Step-by-step explanation:

Answer:

96 sq yards

Step-by-step explanation:

40-24 is 16, and 16/2 is 8. 8 is the second length, so 8 times 12 is 96 which is the area

You arrange 5 letters in 7893600 ways

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

Letters to use = 5

Total available letters = 26

The letters are distinct

This means that the letters cannot be repeated

So, we have

First = 26, Second = 25 ....... Fifth = 22

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

Ways = 26 * 25 * 24 * 23 * 22

Evaluate

Ways = 7893600

Hence, the arrangement is 7893600

Read more about combination at

https://brainly.com/question/11732255

#SPJ1

Answer: To estimate the required sample size for a 97% confidence interval with a 0.6 margin of error, we need to use the formula:

n = (Z * σ / E)^2

Where:

n = required sample size

Z = Z-score corresponding to the desired confidence level (97% confidence corresponds to a Z-score of approximately 2.17)

σ = population standard deviation

E = desired margin of error

Plugging in the values, we have:

n = (2.17 * 3 / 0.6)^2

n = 11.5^2

n ≈ 132.25

Since you cannot have a fraction of a person, we need to round up to the nearest whole number. Therefore, you would need to survey at least 133 randomly selected college basketball players to estimate the population mean height with a 97% confidence interval and a 0.6 margin of error.

Answer:

10.47

Step-by-step explanation:

2.49+2.49+2.49+.75+.75+.75+.75=10.47

Answer:

the domain is (-inf,inf)

Step-by-step explanation:

inf = infinity

Answer: Let x be the measure of the smallest angle in the triangle. Then we have:

One angle is three times as large as another, so the second angle is 3x.

The third angle is 80° more than the smallest angle, so it is x + 80.

The sum of the angles in a triangle is always 180°, so we can write an equation:

x + 3x + (x + 80) = 180

Simplifying and solving for x, we get:

5x + 80 = 180

5x = 100

x = 20

Therefore, the smallest angle in the triangle is x = 20 degrees, the second angle is 3x = 60 degrees, and the third angle is x + 80 = 100 degrees.

Step-by-step explanation:

The data structures are true:  Option (1,3)

Data structures are ways of organizing and storing data in a computer so that it can be accessed and manipulated efficiently. There are several types of data structures, including arrays, linked lists, stacks, queues, trees, and graphs. Each structure has its own unique features and advantages, making it suitable for different scenarios.

For example, arrays are used for storing and accessing data in a linear fashion, while trees and graphs are used for representing hierarchical relationships between data. Data structures are a fundamental concept in computer science and are used in many applications, including databases, compilers, and operating systems. Understanding and implementing data structures is essential for efficient programming and software development

Learn more about data structures

https://brainly.com/question/12963740

#SPJ4

Full Question: Which of the following statements about the data structures are true? Select ALL CORRECT answers.

Answer:

25.50g<=200

Step-by-step explanation:

200/25.50=7.843

g = 7 ( bcos u can't have half of a game ykyk )

hope this helps, sorry if im wrong

The new image would be smaller in sample size than the original image.

For example, if the scale factor is 0.5, the new image will be half the size of the original image. To determine the exact size of the new image, the scale factor is multiplied with the width and height of the original image. For example, if the original image is 200 x 100 pixels, and the scale factor is 0.5, the new image will be

(200 x 0.5) = 100 x (100 x 0.5)

= 50 pixels.

The same concept applies when the scale factor is a decimal. For example, if the scale factor is 0.75, the new image will be three-quarters the size of the original image. In this case, the new image would be

(200 x 0.75) = 150 x (100 x 0.75)

= 75 pixels.

In summary, when the scale factor is less than 1, the new image will always be smaller than the original image, depending on the scale factor. The exact size of the new image can be determined by multiplying the width and height of the original image with the scale factor.

Learn more about sample size here

https://brainly.com/question/25894237

#SPJ4

A direct sewer line can be installed without crossing the farmland. The sewer line can be installed along the straight line connecting the entry point at (2,3) and the exit point at (12,6).

To determine if a direct sewer line can be installed without crossing the farmland, we can calculate the equation of the line passing through the entry and exit points. Using the coordinates (2,3) and (12,6), we can find the equation of the line as y = (1/10)x + (1/5).

Next, we need to check if this line intersects or crosses the circular farmland. The center of the farmland is given as (8,3), and the radius is 200 feet. By comparing the distance between the center of the farmland and the line with the radius of the farmland, we can determine if there is an intersection.

Calculating the distance between the line and the center of the farmland gives us d = |(1/10) * 8 - 3 + (1/5)| / √((1/10)^2 + 1^2) ≈ 0.2828.

Since the distance (d) is less than the radius (200 feet), it means that the sewer line does not cross the farmland.

To maximize the farming area without crossing the sewer line, the longest sprinkler system that can be installed is equal to the radius of the farmland, which is 200 feet.

Therefore, a direct sewer line can be installed without crossing the farmland, and the longest sprinkler system that can be installed without crossing the sewer line is 200 feet.

Learn more about Farmland

brainly.com/question/17084638

#SPJ11

Given that the overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 7.8 cm.

To find the probability that an individual distance is greater than 2 cm greater than the mean, we need to calculate the z-score and the corresponding probability using the standard normal distribution.

z-score = (x - μ) / σ,

z-score = (204.5 - 202.5) / 7.8

z-score = 0.2564.

The probability of an individual distance greater than 204.5 cm is equal to the area to the right of the z-score on the standard normal distribution curve. Using a standard normal distribution table or calculator, the corresponding probability is 0.3972.

To know more about standard normal distribution, visit:

https://brainly.com/question/31379967

#SPJ11

P(X > 216) = 0.0427, P(X < 185) = 0.0126 and the normal curve value (Z-score) for which 25% of the values of X fall below it is -0.6745.

a. P(X > 216) = P(Z > (216-202.5)/7.8)

P(Z > 1.72) = 0.0427 (using normal distribution table)

Hence, the probability that an individual distance is greater than 216 cm is 0.0427.

b. P(X < 185) = P(Z < (185-202.5)/7.8)

P(Z < -2.24) = 0.0126 (using normal distribution table)

Hence, the probability that an individual distance is less than 185 cm is 0.0126.

c. Give the normal curve values (Z-score) for which 25% of the values of X fall below it. Z-score values that correspond to percentiles are also called percentiles ranks and/or percentile scores. For a given percentile, there is always a single Z-score that corresponds to it, which is called the percentile rank (i.e., p-th percentile). The normal distribution table gives the area between the mean and Z score. From the table, the value corresponding to 0.25 is -0.6745. Hence, the normal curve value (Z-score) for which 25% of the values of X fall below it is -0.6745.

Conclusion: From the given problem, the following probabilities have been calculated:

P(X > 216) = 0.0427 (probability that an individual distance is greater than 216 cm).

P(X < 185) = 0.0126 (probability that an individual distance is less than 185 cm). The normal curve value (Z-score) for which 25% of the values of X fall below it is -0.6745.

To know more about probability visit

https://brainly.com/question/31828911

#SPJ11

Answer:

Step-by-step explanation:

Answer:

I think it's A ,Forgive me if its wrong its not a 100%.

Step-by-step explanation:

But if it is correct, im glad to be of service

Answer:

x=16

Step-by-step explanation:

First start of by collecting like terms: 9x+x+x and -8+10+2. There the x's equal 11x and the numbers equal 4. We add those together to make 11x+4. As this is a triangle all the angles add up to 180 degrees, so we equal 11x+4 to 180 degrees. Like 11x+4=180. Subtract the 4 from each sides, to get 11x=176. Then divide both sides by 11, to get x=16

Answer:

My answer to your question is a "No".

We can know that a and b are the same numbers. If we multiply the same number on each side, the answer will be the same. However, x and y have different values. So, it will show differently.

Let's have an example:

It we say a = 5, x = 6, y = 7.

We know a and b are the same number so, both a and b will be 5. If we multiply a by x, it will be 5 x 6 which is 30. It will show the same answer on multiplying b because as you said a and b are the same. The equation will be 5(a) x 6(x) = 5(b) x 6(x) Let's look at multiplying y. If we multiply a by y, it will be 5 x 7 which is 35. As you said it will show the same answer on multiplying b because a and b are the same. The equation for this will be 5(a) x 7(y) = 5(b) = 7(y). Finally, let's compare the two equations.

5(a) x 6(x) = 5(b) x 6(x) -> 30 = 30

5(a) x 7(y) = 5(b) = 7(y) -> 35 = 35

You can see it more clearly when we compare those to the equations that I made.

Thank you

Yes, if a = b, then ax = bx and ay = by for any value of x.

This is because the equation a = b implies that a and b are equal in value, so any expression involving a can be replaced with an equivalent expression involving b. In other words, any operation performed on a can be performed on b and produce the same result.

For example, if a = b, then multiplying both sides of the equation by x yields ax = bx, and multiplying both sides of the equation by y yields ay = by. This means that any power, root, logarithm, or other mathematical operation performed on a can also be performed on b and produce the same result.

To know more on equal sign

https://brainly.com/question/1640740

#SPJ4

Answer:i would say the answer is A

Step-by-step explanation:its my personal opinion i hope it helps

The number of variables recorded are three, and the types of variables are age (continuous), marital status (categorical), and earned income (continuous).

You have recorded three variables for each of the 1463 women in your sample. These variables are:

1. Age - a continuous quantitative variable, as it can take any value within a range.
2. Marital status - a categorical qualitative variable, as it represents distinct categories (e.g., single, married, divorced).
3. Earned income - a continuous quantitative variable, as it can take any value within a range, representing the income earned by each woman.

In total, you have recorded 1 qualitative and 2 quantitative variables for your sample.

To learn more about variables, click here:

brainly.com/question/29583350

#SPJ11

Answer:

none

Step-by-step explanation:

Answer:3.5

Step-by-step explanation: Check file

The number of days taken to complete the production of a batch of pens are 22, as calculated by basic algebra.

Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.

Now, According to the question, the factories used all 12 machines in the last days, Also, for the first 8 days, only 9 machines were in use.

Thus, If the factories used all 12 machines, the batch of pens took 20 days to be manufactured.

Hence, the equation formed from the given information by basic algebra is: 20 + 12 - 9(8) / 12

28 - (72/12)

=28 - 6 = 22

Hence, The number of days taken to complete the production of a batch of pens are 22, as calculated by basic algebra.

To learn more about basic algebra, refer to the link: https://brainly.com/question/723406

#SPJ9

When the diameter of the snowball is 23 cm, the rate at which its diameter decreases is -2.3 cm/min. The negative sign indicates a decrease in diameter.

To find the rate at which the diameter of the melting snowball decreases, we can use the relationship between the surface area and the diameter of a sphere. The surface area of a sphere is given by the formula:

A = 4πr^2,

where A is the surface area and r is the radius of the sphere.

Since we're given the rate of change of the surface area (dA/dt), we need to relate it to the rate of change of the diameter (dd/dt). The relationship between the diameter and the radius is given by:

d = 2r.

Taking the derivative with respect to time (t) of both sides, we get:

dd/dt = 2(dr/dt).

We know that dA/dt = -4.6 cm^2/min (negative sign indicates a decrease in surface area).

We need to find dr/dt when the diameter is 23 cm.

Given d = 2r, we can substitute r = d/2 = 23/2 = 11.5 cm.

Now we can substitute the values into the derived equation:

dd/dt = 2(dr/dt).

-4.6 = 2(dr/dt),

dr/dt = -4.6 / 2,

dr/dt = -2.3 cm/min.

Therefore, when the diameter of the snowball is 23 cm, the rate at which its diameter decreases is -2.3 cm/min. The negative sign indicates a decrease in diameter.

for such more question on diameter

https://brainly.com/question/28700310

#SPJ11

Answer:

2/3 or -13/5

Step-by-step explanation:

this is only true if the equation equals 0