It is a form of debt incurred by an individual or other entity

a) No, p1 = 20, p2 = 19.50 is not a Nash Equilibrium.

b) Yes, there is a Nash Equilibrium in which Firm 2 makes a positive profit.

c) Player 1 has infinitely many strategies.

d) Yes, p1 = 15, p2 = 15 is a Nash Equilibrium.

e) No, p1 = 21, p2 = 21 is not a Nash Equilibrium.

Nash Equilibrium is a state of a strategic game where no player has an incentive to deviate from his or her chosen strategy after considering the strategies of other players. A game has more than one Nash equilibrium if players are unable to agree on a cooperative strategy to play.

Finding Nash Equilibrium

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Answer:

seven and five hundred one hundredths.

Step-by-step explanation:

Plzz mark brainiest im in war against person below me plzzz help me.  I need to win.

There are 10,000 different locker combinations possible, considering the four-digit combination using digits 0 to 9, allowing repetition.

Since the same digit can be used more than once, there are 10 possible choices for each digit (0 to 9). As there are four digits in the combination, the total number of possible combinations can be calculated by multiplying the number of choices for each digit.

For each digit, there are 10 choices. Therefore, we have 10 options for the first digit, 10 options for the second digit, 10 options for the third digit, and 10 options for the fourth digit.

To find the total number of combinations, we multiply these choices together: 10 * 10 * 10 * 10 = 10,000.

Thus, there are 10,000 different locker combinations possible when using four digits, allowing for repetition.

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Answer: X is the missing value.

Step-by-step explanation:

When an arch is extended overhead into a half cylinder, it is known as a barrel vault.

A barrel vault is a curved architectural structure that resembles the shape of a half-cylinder. It is created by placing a series of arches side by side, forming a continuous and uninterrupted vaulted ceiling. The term "barrel" refers to the resemblance of the vault to the shape of a barrel or a tunnel.

Barrel vaults have been used in architecture for centuries and are often found in historical buildings and structures. They provide a sturdy and durable construction method, distributing the weight of the ceiling evenly along the arches. This allows for the creation of large and open interior spaces without the need for additional support columns.

Barrel vaults are commonly used in churches, cathedrals, and other monumental structures, where they serve both functional and aesthetic purposes. The sweeping and graceful curves of the barrel vaults add a sense of grandeur and elegance to architectural designs, making them a popular choice in various architectural styles throughout history.

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The only value that is in the domains of both functions is 0. The range of g(x) is all values less than or equal to 0. Then the correct options are C and F.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The graph of f(x) = √x is reflected across the x-axis and then across the y-axis to create the graph of function g(x).

Then the function g(x) will be

g(x) = -√(-x)

The domain of the f(x) and g(x) will be [0, ∞) and (-∞, 0] respectively.

The range of g(x) will be (-∞, 0].

The only value that is in the domains of both functions is 0.

The range of g(x) is all values less than or equal to 0.

Then the correct options are C and F.

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Answer:

C AND F

Step-by-step explanation:

Edge 2023

the value of F(9) is approximately 23.308.

To find the value of F(9) given that F(x) is an antiderivative of (ln x)^3/x and F(1) = 0, we can use the fundamental theorem of calculus.

According to the fundamental theorem of calculus, if F(x) is an antiderivative of a function f(x), then:

∫[a,b] f(x) dx = F(b) - F(a)

Since F(1) = 0, we can write:

∫[1,9] (ln x)^3/x dx = F(9) - F(1)

To evaluate the integral, we can make a substitution:

Let u = ln x, then du = (1/x) dx

The integral becomes:

∫[ln 1, ln 9] u^3 du

Integrating u^3 with respect to u:

[(1/4)u^4] | [ln 1, ln 9] = (1/4)(ln 9)^4 - (1/4)(ln 1)^4

Since ln 1 = 0, we have:

(1/4)(ln 9)^4 - (1/4)(ln 1)^4 = (1/4)(ln 9)^4

Therefore, F(9) - F(1) = (1/4)(ln 9)^4

Since F(1) = 0, we can conclude that F(9) = (1/4)(ln 9)^4.

Calculating this value:

F(9) = (1/4)(ln 9)^4 ≈ 23.308

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The sampling interval will include dealers in positions 5, 10, 15, 20, and so on, until the end of the list. This ensures that every fifth dealer is included in the sample, providing a systematic and unbiased representation of the population.

1. Determine the sampling interval: In this case, the sampling interval is 5, as every fifth dealer is selected.
2. Choose the starting point: The starting point is the 5th dealer in the list.
3. Apply the sampling interval: Starting from the 5th dealer, select every fifth dealer in the list.

Here's how the sample selection will look like:

- Start with the 5th dealer (first selected dealer).
- Add the sampling interval (5) to the current dealer's position to find the next dealer: 5 + 5 = 10 (the 10th dealer is the second selected dealer).
- Continue this process: 10 + 5 = 15 (the 15th dealer is the third selected dealer).
- Keep adding the sampling interval until the end of the list is reached.

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Answer:

Given: Equation is x4 + 6x2 + 5 = 0

Let x2 = u then the given equation becomes u2 + 6u + 5 = 0

This is in the form ax2 + bx + c=0

We can solve by using quadratic formula for finding roots

x = {-b ± √(b2 - 4ac)} / 2a

Here, a = 1, b = 6, c = 5

u = {-(6) ± √((6)2 - 4(1)(5))} / 2(1)

u= {-6 ± √(36 -20)} / 2

u = {-6 ± √16}/2

u = {-6 ± 4} /2

u = -1, or u = -5

x2 = u

x = ±√u

x = ±√-1 or x = ±√-5

x = ±i or x = ±√5i

The solutions are + i, -i , +√5i, -√5i for the given equation.

Step-by-step explanation:

hope it helped uh if yes then please mark me a brainliest :)

we have the equation

elevated to the cubic on both sides

Expand the right side

For the cubic equation

For x=-6

the equation is equal to zero

so

x=-6 is a root

Divide the cubic function by the factor (x+6)

x^3+6x^2+4x+24 : (x+6)

x^2+4

-x^3-6x^2

-------------------------

4x+24

-4x-24

--------------

0

therefore

x^3+6x^2+4x+24=(x+6)(x^2+4)

Solve the quadratic equation

x^2+4=0

x^2=-4

x=2i and x=-2i

the solutions are

x=-6

x=2i

x=-2i

Verify in the original equation

For x=-6

Answer:

A) 5  3/10

B) 785 3/20

Step-by-step explanation:

Hope this helps <3

you find a common denominator and then simplify all fractions to that common denominator. then, you add them up!

2 1/5 + 3 1/10

5 can fit into 10 twice so it becomes...

2 2/10 + 3 1/10 which equals

5 3/10

472 2/5 + 312 3/4

5 times 4 is 20

472 8/20 + 312 15/20

there is a remainder of 3 for the fractions so you put it over 20.

785 3/20

Answer:

p = (1 + 2x) / (2x + 3)

Step-by-step explanation:

2px+3p=1+2x

Factor the left side, taking out p:-

p(2x + 3) = 1 + 2x

Divide both sides by 2x + 3:

p = (1 + 2x) / (2x + 3)

Answer:

x=5

Step-by-step explanation:

So first we want to find x by itself, so we can subtract 4 from both sides:

x=5

That is your simple answer!

Step-by-step explanation:

\( \huge{ \sf{x + 4 = 9}}\)

~ Move 4 to right hand side and change it's sign :

⟼ \( \huge{ \sf{x = 9 - 4}}\)

~ Subtract 4 from 9

⟼ \( \huge{ \sf{x = 5}}\)

\( \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \bold{ \text{5}}}}}}}\)

Hope I helped ! ♡

Have a wonderful day / night ツ

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Answer:

41.6 (rounded to nearest tenth)

Answer:

I need about     41   liters of gas to fill my tank

Step-by-step explanation:

Full tank: 17 gallons

Amount of gas in tank now: 6 gallons

Amount needed to fill tank: 17 gallons - 6 gallons = 11 gallons

The amount needed to fill the tank is 11 gallons.

Now we convert 11 gallons to liters.

We use conversion fractions, first from gallons to quarts, then from quarts to liters.

11 gallons * (4 quarts)/(1 gallon) * (0.94 liter)/(1 quart) = 41.36 liters

a) It is not necessarily rational to decide to run in unfavorable conditions solely because a large entry fee has been paid. Rationality is determined by weighing the expected benefits and costs of an action, considering factors such as personal safety and enjoyment.

a) Rational decision-making involves assessing the expected benefits and costs of an action and choosing the option that maximizes personal utility. In the case of running in adverse weather conditions, factors such as personal safety, physical well-being, and enjoyment of the experience should be considered alongside the sunk cost of the entry fee. While the entry fee represents a financial investment, it should not be the sole determinant of the decision. If the expected negative consequences of running in dangerous conditions outweigh the benefits derived from participating, it would be rational to prioritize personal well-being over the sunk cost of the fee.

b) Skipping the free beer after the race can be rational if the perceived benefits of having the beer are outweighed by other factors, such as the time and effort required to wait in line or the desire to prioritize other post-run activities.

b) Rationality, as defined by economists, takes into account the subjective preferences and trade-offs individuals make based on their utility. While the free beer may have a positive utility for you after a long run, skipping it can still be rational. The decision depends on the relative value you assign to different activities or opportunities available to you at that moment. Factors such as the length of the line, time constraints, and alternative options for post-run relaxation or recovery could influence your decision. If the perceived benefits of waiting in line for the free beer are outweighed by other activities or priorities, it would be rational to skip it and allocate your time and effort elsewhere. Rationality in this context involves optimizing overall utility based on personal preferences and circumstances.

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Using long division, 189 divided by 7 is 27

The picture below represent how to use long division.

Firstly, we divided 1 by 7, it can't go. Therefore, it zero. we put zero at the quotient space.

Multiply zero by 7 and subtract from 189.

We use 18 to divide 7. It will give us 2 remainder 4. we put the 2 at the quotient side and multiply it by 7 to get 14.

Then we subtract 14 from 18. And so on. This is done till we get 0.

Therefore, using long division, 189 divided by 7 is 27

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I understand that algebraic operations can be confusing at first, but I'll do my best to explain them step by step. Let's start with addition and subtraction in algebra, and then move on to multiplication and division.

Addition in Algebra:

Start with two or more algebraic expressions or terms that you need to add together.

Identify like terms, which are terms that have the same variables raised to the same powers. For example, 3x and 5x are like terms because they both have the variable x raised to the power of 1.

Combine the coefficients (the numbers in front of the variables) of the like terms. For example, if you have 3x + 5x, you add the coefficients 3 and 5 to get 8.

Write the sum of the coefficients next to the common variable. In this case, it would be 8x.

If there are any remaining terms without a like term, simply write them as they are. For example, if you have 8x + 2y, you cannot combine them because x and y are different variables.

Subtraction in Algebra:

Subtraction is similar to addition, but instead of adding terms, we subtract them.

Start with two algebraic expressions or terms.

Identify like terms, as we did in addition.

Instead of adding the coefficients, subtract the coefficients of the like terms.

Write the difference of the coefficients next to the common variable.

Handle any remaining terms without a like term in the same way as in addition.

Multiplication in Algebra:

Multiply the coefficients of the terms together. For example, if you have 2x * 3y, multiply 2 by 3 to get 6.

Multiply the variables together. In this case, multiply x by y to get xy.

Write the product of the coefficients and variables together. So, 2x * 3y becomes 6xy.

Division in Algebra:

Divide the coefficients of the terms. For example, if you have 12x / 4, divide 12 by 4 to get 3.

Divide the variables. If you have x / y, you cannot simplify it further because x and y are different variables. So, you leave it as x / y.

Remember, these steps are general guidelines, and there might be additional rules and concepts specific to certain algebraic expressions.

It's important to practice and familiarize yourself with these operations to gain confidence and improve your understanding.

Given the function:

Let's find the function after differentiating it 68 times.

To differentiate, let's take the derivative.

First derivative:

Second derivative:

Since 3 is the constant with respect to x, the derivative of 3cos(3x) with respect to x will be:

After the second differentiation, we have -sin, , the same will be applicable to the 68th time.

Therefore, for the 68th differentiation the exponent for the constant -3 will be 68.

Therefore, after differentiating the function 68 times, we have:

ANSWER:

Answer:

The first one is

\(x=\frac{3}{a }\)

The second one is

\(x=- \frac{a }{6 }\)

The third is

\(x=-\frac{6}{a}\)

Hope this helps, it's just simple rearrangement for x!

Answer: : The point (4,5)

Step-by-step explanation:

Answer:

The property used is Symmetric property of Equality.

Option B is correct option.

Step-by-step explanation:

We are given :

\(AR \cong TY\\\)

Which property will give the step:

\(TY \cong AR\\\)

Looking at the options:

We see that Symmetric property states that if a = b then b= a

Same is the case with the question.

We have :

\(AR \cong TY\\\\TY \cong AR\\\)

If a = AR and b = TY

then the property is: a = b, b=a

So, the property used is Symmetric property of Equality.

Option B is correct option.

Answer:

612

Step-by-step explanation:

you multiply 27 x 12 and 24 x 12, and add up the products, and you get 612

Answer: 612 Treats

Work: To find out how many treats he baked, you do 27 x 12 and 24 x 12. After doing so, you get 324 and 288. Add those up, and you get 612.

I hope this helps, and Happy Holidays! :)

Answer:

60;40

Step-by-step explanation: 50* 2 = 100

so multiply every thing else by it to  

in simplest form tho itd be 3;2

Based on the information given, the computation shows that the distance between them is 2.47 miles.

Since one has bearing 41°45', this will be: = 41° + (45/60) = 41° + 0.75 = 41.75°.

The other has bearing 59°13'. This will be:

= 59° + (13/60) = 59° + 0.22 = 59.22°.

The difference of the angles will be:

= 59.22° - 41.75°

= 17.47°

Let the distance between them be represented by c. Therefore, we'll use cosine law to solve the question. This will be:

c² = a² + b² - 2ab cos 17.47°

c² = 20² + 20² - (2 × 20 × 20 × 0.19)

c² = 6.07459

c = 2.47

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Answer:

A

Step-by-step explanation:

14 is not greater than 15

Answer: 1,1

Step-by-step explanation:

the 2 lines cross paths at (1, 1)

Planets around other stars can be detected by carefully measuring the "brightness" or "light intensity" of stars.

When a planet orbits a star, it causes a slight change in the brightness or light intensity of the star. This is known as the transit method of planet detection. As the planet passes in front of the star from our line of sight, it blocks a small portion of the star's light, causing a temporary decrease in its brightness. By carefully measuring these changes in brightness over time, scientists can infer the presence and characteristics of planets orbiting the star. This method has been instrumental in the discovery of numerous exoplanets in recent years.

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Answer:

The answer is 44.99

Step-by-step explanation:

divide 89.98/2= 44.99

Answer: x = 40

Step-by-step explanation: 72/43.2 =x/27

1,944 =43.2 (round off)

x = 40

(i think!)

Answer: Yes he will be

Step-by-step explanation:

To find out if Ted can afford the car, find the future value of $4,300 in three years.

First convert the number of years and rates to quarterly values as this is the compounding period:

Term = 3 * 4 quarters = 12 quarters

Rate = 5.5% / 4 = 1.375% per quarter

Future value = Amount * ( 1 + rate) ^ term

= 4,300 * ( 1 + 1.375%)¹²

= $5,065.69

Considering that Ted makes $5,065.69 in 3 years, he will be able to buy a car that costs $4,700.