Consider an infinitely repeated game in which, in each period, two firms with zero costs choose quantities and prices are given by: Pi = 1 -q1-q2/2, P2 = 1 - q2-q 1/2. Firms have a common discount factor of d = 1/2. a) Explain what a trigger strategy is and determine whether the firms can attain the joint profit maximising outcome in a subgame perfect equilibrium using trigger strategies. b) Explain what a stick and carrot strategy is and discuss whether it is possible to attain the joint-profit maximising outcome in a subgame perfect equilibrium using stick and carrot strategies.

Answer:

He is incorrcet because the 4 and the 8 should be switched around in his answer

Step-by-step explanation:

Don't know if you need my answer or not

He is incorrcet because the 4 and the 8 should be switched around in his answer

Because √16 * √8 = 4√8

Answer:

a

Step-by-step explanation:

because there is 12 people

Answer:

A

Step-by-step explanation:

There are 12! Since 90 degree rotations of the seats are technically equivalent, so just divide by 4, which yields 12!

adding fractions with different denominators requires finding a common denominator

e.g.

\(\frac{1}{2} +\frac{5}{7}\)

an easy way to find a common denominator is to simplify multiply the denominators together

in this case it'd be 14

next, in order to add the fractions, we need to make both of them have denominator 14

for \(\frac{1}{2}\), we multiply it by \(\frac{7}{7}\). note that this is essentially multiplying it by 1, but we don't simplify now, we do it later

\(\frac{1*7}{2*7}=\frac{7}{14}\)

we have to multiply 5/7 by 2/2

\(\frac{5*2}{7*2} = \frac{10}{14}\)

now we can add the numerators

\(\frac{10}{14} + \frac{7}{14} = \frac{17}{14}\)

also, you can use a formula derived from using common denominators

\(\frac{a}{b} +\frac{c}{d}=\frac{ad + bc}{bd}\)

To determine the exact values of the six trigonometric functions (sine, cosine, tangent, cosecant, secant, and cotangent) of an angle in standard position, we need additional information regarding the coordinates of the point on the terminal side of the angle.

To calculate the trigonometric functions of an angle, we require the coordinates of the point on the terminal side of the angle in standard position (measured from the origin). With these coordinates, we can determine the values of the trigonometric functions.

Specifically, we can use the ratios of the sides of a right triangle formed by the angle. The sine is the ratio of the opposite side to the hypotenuse, cosine is the ratio of the adjacent side to the hypotenuse, and tangent is the ratio of the opposite side to the adjacent side. Cosecant, secant, and cotangent are the reciprocals of sine, cosine, and tangent, respectively. However, without specific coordinates, we cannot provide the exact values of the trigonometric functions.

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Answer: A

Step-by-step explanation:

The SSS( Side-Side-Side) Congruance theorem can be used to prove that

△MLQ ≅ △NPQ.

So, The correct option is option (B).

We have given that,

The above figure shows three triangles .

Also, MQ = NQ

Q is mid point of Side LP .

or LM~= PN => LM = PN

we have to show that △MLQ ≅ △NPQ

Mid point is defined as a point which divide the side into to equal parts i.e if P is mid point of AB then AP = BP.

Using this fact , we have

LQ = QP --(1) ( because Q is mid point)

MQ = NQ (given)

LM = PN ( given)

That's we see that all three sides of triangle are

equivalents to corresponding sides of second triangle.

Therefore, these two triangles are congruent by SSS rule of congruance, i. e △MLQ ≅ △NPQ.

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Complete Question

Given: MQ = NQ; Q is the midpoint of LP; LM ≅ PN

Which congruence theorem can be used to prove △MLQ ≅ △NPQ?

a) AAS

b) SSS

c) ASA

c) SAS

Answer:

decreases

Step-by-step explanation:

The value of 60 percent of $600 will be $360.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

In this case, 60% of $600 will be illustrated thus:

= 60% × $600

= 60/100 × $600

= 0.6 × $600

= $360

Therefore, the value is $360.

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Answer:

a) algebraic expression

b) equation

c) numerical expression

Step-by-step explanation:

Hope this helps......if not then sorry for wasting your time and may God bless you<3

Answer: 119°

Step-by-step explanation:

∠FAE + ∠CAF = ∠BAD (Vertical angles)

62° + 57° = 119°

∠BAD = 119°

Based on the trend line and slope, Tony's expected salary of $70,000 after 15 years of employment at Company Z is reasonable, as it falls within the range of salaries predicted by the line of best fit.

First, we need to find the equation of the trend line. To do this, we use the least squares regression method to find the line that best fits the data. Let x be the years of employment and y be the annual salary. We can calculate the slope and y-intercept of the trend line using the following formulas

slope = (nΣ(xy) - ΣxΣy) / (nΣ(x²) - (Σx)²)

y-intercept = (Σy - slopeΣx) / n

where n is the number of data points, Σ represents the sum of, and ( )² denotes squared.

We can use the given data to calculate the values needed for the formulas. Let's denote the years of employment as x and the annual salary as y.

x: 1 2 3 4 5 6

y: 45 50 55 60 65 70

n = 6

Σx = 1 + 2 + 3 + 4 + 5 + 6 = 21

Σy = 45 + 50 + 55 + 60 + 65 + 70 = 345

Σxy = (145) + (250) + (355) + (460) + (565) + (670) = 1305

Σ(x²) = 1² + 2² + 3² + 4² + 5² + 6² = 91

Now we can plug these values into the formulas to find the slope and y-intercept

slope = (61305 - 21345) / (691 - 21²) = 5

y-intercept = (345 - 521) / 6 = 20

We can write the equation of the trend line in the form y = mx + b, where m is the slope and b is the y-intercept

y = 5x + 20

Finally, we can use this equation to estimate Tony's salary after 15 years of employment

y = 5(15) + 20 = 95

Based on the trend line and slope, we would expect Tony's salary to be about $95,000 after 15 years of employment.

This is higher than his expected salary of $70,000, so it may not be a reasonable expectation. However, it's important to note that the trend line is just an approximation and there may be other factors that could affect Tony's salary.

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Answer:

X= 8

Y= 25

Z= 9

Hope this helps!

Answer: $10.50

Step-by-step explanation:

Here is the complete question:

Mr. Frye distributed $126 equally among his 4 children for their weekly allowance. John, the oldest child, paid his siblings to do his chores. If John pays his allowance equally to his brother and two sisters, how much money will each of his siblings have received in all?

Amount distributed = $126

Number of children = 4

Each child gets = $126/4 = $31.5

If John pays his allowance equally to his brother and two sisters, the amount that each sibling will get will be:

= $31.5 / 3

= $10.50

9514 1404 393

Answer:

Step-by-step explanation:

The slope of a given segment is the ratio rise/run. The "rise" is the number of vertical divisions between the points. The "run" is the number of horizontal divisions between the points. The "run" is positive left-to-right. The corresponding "rise" is positive up.

Here are the segment slopes (rise/run).

  AB = -3/1 = -3

  BC = 2/3

  AC = -1/4

Answer:

A. 0.4 , -6

Step-by-step explanation:

equate each of them to 0

5x - 2 =0 , x + 6 = 0

5x = 2 , x = 0 - 6

x = 2/5 , x = -6

x = 0.4 , x = -6

Answer:

the answer is \(\sqrt{53}\)

Step-by-step explanation:

Answer:

Second option

Step-by-step explanation:

Diagonal² = 6² + 4²

Diagonal² = 52

AB² = diagonal² + 1²

AB² = 52 + 1

AB² = 53

AB = sqrt(53)

Answer:

b. 5, 2

Step-by-step explanation:

5+2= 7

5-2= 3

The span of {u, v} represents a plane in three-dimensional space. w is not in the span of {u, v}. the span of {u, v, w} is the entire three-dimensional space.

(a) The span of {u, v} represents a plane in three-dimensional space. Geometrically, this plane can be visualized as a flat surface extending infinitely in all directions. It includes all possible vectors that can be obtained by scaling and adding u and v. Any vector lying on this plane can be expressed as a linear combination of u and v.

(b) To determine if w is in the span of {u, v}, we need to check if w can be expressed as a linear combination of u and v. We can write w as follows:

w = a*u + b*v

Solving the system of equations formed by equating corresponding components, we have:

-2 = 3a - 2b

2 = -a + 2b

6 = -2a - 6b

Solving this system, we find that there are no values of a and b that satisfy all three equations simultaneously. Therefore, w is not in the span of {u, v}.

(c) The span of {u, v, w} is the entire three-dimensional space. To justify this, we consider the matrix A whose columns are u, v, and w:

A = [u v w] = [1 3 -2; -1 1 2; -2 -6 6]

We can row-reduce matrix A to its echelon form:

[1 3 -2; -1 1 2; -2 -6 6] -> [1 3 -2; 0 4 0; 0 0 0]

The echelon form shows that the columns of A are linearly independent, and they span the entire three-dimensional space. Therefore, any vector in three-dimensional space can be expressed as a linear combination of u, v, and w, indicating that the span of {u, v, w} is the entire three-dimensional space.

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An inequality that expresses the interval of values that n may have is (B) \((5 < n < 17)\)

The sides of a triangle are 5, 12, and n.

To write an inequality that expresses the interval of values that n may have, we use the Triangle Inequality Theorem.

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So for this question, the inequality that expresses the interval of values that n may have is given as:\(5 + 12 > n12 + n > 5n + 5 > 12\)

Simplifying the above inequality: \(n > -7n > 7\)

The interval for n will be \([7,∞)\), where n has to be greater than 7.

Option D \((7 < n < 12\)) is not the correct answer.

Hence, the correct answer is option B\((5 < n < 17).\)

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SOLUTION:

=) 30p^10

___________

Answer:

\(30p^{10}\)

Step-by-step explanation:

\(-5p^8 * -6p^2\)

\(-5*-6=30\)

\(p^8*p^2=p^{8+2} =p^{10}\)

\(30p^{10}\)

Hope this helps!

Answer:

1024

Step-by-step explanation:

the area of a square is the length of the side squared

32 times 32

The step necessary for incorporating randomization into a simulation is to use a chance device.

A chance device, such as a random number generator, is necessary to introduce randomness into the simulation. This allows the simulation to generate random outcomes that reflect the uncertainty and variability of real-world situations. By incorporating randomization, the simulation can simulate a range of possible outcomes and estimate the probabilities of different outcomes occurring.

Creating a data table and running the simulation more than once are important steps in a simulation, but they are not specifically related to incorporating randomization. Writing an alternative hypothesis is also not related to incorporating randomization into a simulation, but rather a step in the hypothesis testing process.

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Answer:

hope these help........

Answer:

\(x = \frac{-3}{4}\) or  \(x = \frac{3}{2}\)

Step-by-step explanation:

\(8x^{2} - 4x = 2x +9\)

Okay, let's put everything on one side.

\(8x^{2} -4x-2x-9=0\)

As you can see we can subtract -4x from -2x now leaving us with -6x.

\(8x^{2} -6x-9=0\)

Now there are multiple ways to solve a polynomial, but we can go with a way to factor them the easy way. We need to multiply the leading coefficient with the ending term because there is no common number we can factor out of these guys.

\(8(-9)=-72\)

We multiplied 8 and -9 together which gave us -72. With this, we need to find two numbers that add to the middle term, -6, but will multiply to -72. This is going to be 6 and -12. Now we are going to replace the middle coefficient with those two numbers.

\(8x^{2} + 6x - 12x- 9= 0\)

(Keep in mind the equation has not changed)

Now we are going to do something called factoring by grouping, with the first two terms, 8x^2 and 6x we take out the GCF (greatest common factor):

\(2x(4x+3)\)

so let's do the same between the last two.

\(-3(4x+3)\)

So when putting them together we have,

\(2x(4x+3)-3(4x+3)=0\)

Now let's factor here, (4x+3) can be taken out and 2x as well as -3 can be put together.

\((4x+3) (2x-3)=0\)

Then we set these factors to zero to get our x answer:

\(4x+3=0\)

\(2x-3=0\)

And we solve, which leaves us with:

\(x = \frac{-3}{4}\) or  \(x = \frac{3}{2}\)

For the given scatter plot, line C fits the best to represent the data represented as the line is as close as possible to all of the points, so it better represents the trend between them.

A scatterplot is known to be a series of points plotted on horizontal and vertical axes. Scatter plots are crucial in statistics because they can represent the degree, if any, of correlation between the values ​​of observed quantities or phenomena (called variables). If case of no correlation between the variables, the points will appear randomly scattered all over  the coordinate plane. If the correlation is high, the points will be clustered around the straight line.

A scatter chart is a type of data visualization tool that aids to show trends. A best-fit line is defined as a line that more accurately represents the various points on the scatterplot.

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Since one transistor is defective among 100 transistors , the probability that the defective transitory was taken is 25% or 0.25

Given that the,

Total transistor = 100

randomly grabbed by the technician = 25

Therefore,

Total possible outcomes = ¹⁰⁰C₂₅

Possibility that the transistor drawn is not effective = ⁹⁹C₂₅

possibility of no defective transistor being drawn  = ⁹⁹C₂₅/ ¹⁰⁰C₂₅

                                                                                   = 0.75

∴Probability of a defective transistor is drawn = 1 -0.75

                                                                             = 0.25

Hence, the probability of selecting a defective transistor in the drawn sample is 0.25 or 25%.

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As given by the question

There are given that the point:

Now,

From the distance formula:

Then,

Then,

Now,

Then,

Hence, the answer is shown below:

Now,

From the formula to find the direction angle:

Then,

Then,

And

The magnitude of the point is:

Hence, the value of direction angle and magnitude is shown below: