5/16 as a decimal..?

Answer:

1. 12

2. 31

3. 37

4. 87

In the Stackelberg case, Firm 1 has a higher profit (562.5 > 277.78) and Firm 2 has a lower profit (156.25 < 277.78) than in the simultaneous-move case.

1. In the Stackelberg case, let Firm 1 choose output y1 first, and then Firm 2 decides y2 after observing y1. Firm 1 is the leader and Firm 2 is the follower. Thus, the optimization problem for Firm 2 is as follows:

Max p(y1 + y2) * y2 - c2(y2), where y1 is chosen by Firm 1.

Thus, the profit function of Firm 2 is Π2(y1, y2) = (100 − 2(y1 + y2))y2 − 4y2

                                                                              = (100 − 2y1 − 2y2)y2

Differentiating with respect to y2, we obtain:

∂Π2(y1, y2) / ∂y2 = 100 − 2y1 − 4y2

Setting this equal to zero, we obtain:

50 − y1 = 2y2

Thus, Firm 2's best response function is: yˆ2(y1) = (50 − y1)/2

Now, Firm 1 knows that Firm 2 will choose yˆ2 given that it already chose y1.

Firm 1 chooses y1 to maximize its own profit, which is:

Π1(y1) = (100 − 2(y1 + yˆ2(y1)))y1 − 2y1

= (100 − 2y1 − 25 + 0.5y1)y1

= (75 − 1.5y1)y1

Differentiating with respect to y1, we obtain:

∂Π1(y1) / ∂y1 = 75 − 3y1

Setting this equal to zero, we obtain:

y1 = 25

Thus, yˆ1 = 25, and yˆ2 = (50 − y1)/2 = 12.5.

The profit of Firm 1 is Π1(y1) = (75 − 1.5y1)y1 = 562.5, and the profit of Firm 2 is

= Π2(y1, y2)

= (100 − 2y1 − 2y2)y2

= 156.25.2.

In the simultaneous-move case, the optimization problem for Firm 1 is as follows:

Max p(y1 + y2) * y1 - c1(y1) - c2(y2)

Similarly, the optimization problem for Firm 2 is: Max p(y1 + y2) * y2 - c1(y1) - c2(y2)

These two problems can be combined into a single problem by substituting

p(y1 + y2) = 100 − 2(y1 + y2) and

c1(y1) = 2y1 and c2(y2) = 4y2.

Thus, the profit function of each firm is:

Π1(y1, y2) = (50 − y1 − y2)y1Π2(y1, y2) = (50 − y1 − y2)y2

The first-order conditions for maximizing these profit functions are:

= ∂Π1(y1, y2) / ∂y1

= 50 − 2y1 − y2

= 0

∂Π2(y1, y2) / ∂y2 = 50 − y1 − 2y2 = 0

Solving these equations simultaneously, we obtain:

y1 = 16.67, y2 = 16.67, and Π1(y1, y2) = Π2(y1, y2) = 277.78.

Comparing this to the Stackelberg case, we see that both firms are worse off in the simultaneous-move case. In the Stackelberg case, Firm 1 has a higher profit (562.5 > 277.78), and Firm 2 has a lower profit (156.25 < 277.78) than in the simultaneous-move case. Thus, Firm 1 is better off in the Stackelberg case, and Firm 2 is worse off.

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Answer:

y = 1/2

Step-by-step explanation:

Y+3/5 = 1 1/10

Subtract 3/5 from both sides.

y = 1/2

Answer:

Step-by-step explanation:

3x +5 = 2x -7

+7              +7

3x +12=2x

-3x       -3x

12= -x

-12 = x

Answer:

This is your answer:

\(3 x + 5 = 2x - 7\)

\(3x - 2x = - 7 - 5\)

\(1x = - 12\)

\(x = - 12\)

✨Thanks!!!!☺✨

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Therefore,  subscript indices must be either positive integers or logical. True

Explanation: The statement "subscript indices must be either positive integers or logicals" is true. Subscript indices are used to identify elements in an array. A positive integer subscript identifies a particular element in an array, while a logical subscript identifies a subset of elements based on a logical condition. For example, if we have an array A, then A(1) would identify the first element of the array, while A(A > 0) would identify all elements in the array that are greater than zero. Subscript indices cannot be negative or non-integer values.

Therefore,  subscript indices must be either positive integers or logical. True

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In the given research design, there are three independent variables. The notation "2x2x4" represents the number of levels or conditions for each independent variable.

The first independent variable has two levels (2x), the second independent variable has two levels (2x), and the third independent variable has four levels (4). Each independent variable is manipulated or varied independently of the others in order to examine their effects on the dependent variable(s). Therefore, there are three independent variables in this 2x2x4 research design.

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Hey there!

12(w - 3)

= 12(10 - 3)

= 12(10) + 12(-3)

= 120 - 36

= 84

OR

12(w - 3)

= 12(10 - 3)

= 12(7)

= 84

Therefore, your answer should be:

84

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

$147

Step-by-step explanation:

20×6=120 9×3=27. 120+27=147

Answer:

8000

Step-by-step explanation:

Since 8 is bigger than 5, you can increase it

7829 to the nearest ten: 7830

7829 to the nearest hundred: 7800

Hope this helps!

The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000.

To round up or down tens place then we need to look at the unit place if it is less than 5 then we need to keep it as it and if it is greater than 5 then we need to round up the tens digit.

For example round of 346 will, be350 and round of 344 will be 340

Given the digit,7829

9 → unit place

2 → tens place

8 → hundred place

7 → thousand place

In order to round to the nearest thousand we need to look at a hundred places if it is > 500 then we will round up.

Since 829 > 500 so 7829 → 8000

Hence "The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000".

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An equation of this line I in the form y = mx + c is y = 2x + 3.

Mathematically, the standard form of the equation of a line can be calculated by using this equation:

y = mx + c

Where:

Next, we would determine the slope of this line by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (11 - 3)/(4 - 0)

Slope, m = 8/4

Slope, m = 2

From the point (0, 3), the y-intercept (c) is equal to 3. Therefore, the equation of this line is given by;

y = mx + c

y = 2x + 3

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Answer:

Step-by-step explanation:

The coordinates after 180 degree rotation is:

A'( -6, -1).

B'( 5, -4).

C'( 3, -4).

D'( 2, -1).

A rotation is a type of transformation that takes each point in a figure and rotates it a particular number of degrees around a given point.

Different forms can be rotated by an angle about their central point. A rotation is a map in mathematics. The rotation group of a particular space is made up of all the rotations that revolve around a fixed point and form a group beneath a structure. On arriving to the three-dimensional shapes, we can turn or rotate the objects about an endless number of imaginary lines known as rotational axes.

For a 180 degree rotation we have to follow the rule

(x, y) ---> (-x, -y)

The coordinates of A is (6, 1)

So, A'( -6, -1).

and, The coordinates of B is (-5, 4)

So, B'( 5, -4).

and, The coordinates of C is (-3, 4)

So, C'( 3, -4).

and, The coordinates of D is (-2, 1)

So, D'( 2, -1).

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Answer:

It's 155

Step-by-step explanation:

Since the whole angle is 180

And u got 25

So 180-25=155

Answer:

155

Step-by-step explanation:

a+25=180

a. =180-25

a. = 155

a. The population in this situation is the group of all individuals who are interested in Seattle Mariners and its performance in the upcoming baseball season.b. The sampling strategy described here is a voluntary response sampling strategy. c. The type of bias that is present in this situation is voluntary response bias.Explanation:Voluntary Response SamplingVoluntary response sampling is a type of non-probability sampling that involves participants who voluntarily choose to participate in a survey or study. In other words, individuals are not randomly selected to participate. Instead, they choose to participate on their own. Voluntary response sampling is considered an easy and inexpensive way to gather data, but it is often biased because those who choose to participate may not be representative of the population as a whole.In this situation, a Mariners fan website published a survey asking for predictions about the Mariners' performance in the upcoming baseball season. Nearly 3000 different individuals responded. So, the sampling strategy described here is a voluntary response sampling strategy. The population in this situation is the group of all individuals who are interested in Seattle Mariners and its performance in the upcoming baseball season. The type of bias that is present in this situation is voluntary response bias.

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Colin has lived by the biblical ideal of avoiding debt, purchasing the lowest item, repaying a loan, and being financially honest.

With an auto loan, you may borrow money from a bank and use it to purchase a vehicle. The loan must be repaid with interest over a defined period of time in fixed instalments from you.

Lenders will aim for a credit score of at least 750 when you apply for a vehicle loan.

The additional costs won't dramatically raise the price of the automobile because of the low interest rate. The periodic payments won't put undue strain on your current or next finances.

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Using the density formula, it is found that the correct sentence is:

\(d = \frac{m}{v}\)

For her medal:

Hence, the density is:

\(d = \frac{m}{v} = \frac{0.4}{0.000022} = 18.180\)

It is closest to the gold medal density, hence, the sentence is:

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Answer:uttt

Step-by-step explanation:

Options B and D indicate that figure EFGHIJ is similar to figure KLMNPQ.

To determine if figure EFGHIJ is similar to figure KLMNPQ, we need to examine the given information.

Option A states that a geometric stretch (x, y) to (2x, 1.5y) maps figure EFGHIJ to figure KLMNPQ. This means that the x-coordinates of EFGHIJ are multiplied by 2 and the y-coordinates are multiplied by 1.5. However, this does not necessarily indicate similarity since the y-coordinates are not stretched by the same factor as the x-coordinates. Therefore, option A does not provide sufficient evidence for similarity.

Option B states that a dilation (x, y) to (1.5x, 1.5y) maps figure EFGHIJ to figure KLMNPQ. This dilation involves multiplying both the x-coordinates and the y-coordinates by the same factor, 1.5. This indicates similarity, as the corresponding sides of the figures are proportional. Thus, option B suggests that figure EFGHIJ is similar to figure KLMNPQ.

Option C states that a geometric stretch (x, y) to (1.5x, 2y) maps figure EFGHIJ to figure KLMNPQ. Similar to option A, this geometric stretch applies different scaling factors to the x-coordinates and y-coordinates, making it insufficient to establish similarity. Therefore, option C does not support the conclusion of similarity.

Option D states that a dilation (x, y) to (2x, 2y) maps figure EFGHIJ to figure KLMNPQ. Similar to option B, this dilation involves multiplying both the x-coordinates and the y-coordinates by the same factor, 2. This suggests similarity, as the corresponding sides of the figures are proportional. Therefore, option D also suggests that figure EFGHIJ is similar to figure KLMNPQ.

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Answer:

C)  2

Step-by-step explanation:

step 1:  Find mean of data set

2+4+4+5+7+8 = 30

30/6 = 5

Mean = 5

step 2: subtract each data value from the mean and square it

5-2 = 3;   3² = 9

5-4 = 1;   1² = 1

5-4 = 1;   1² = 1

5-5 = 0;   0² = 0

5-7 = -2;   (-2²) = 4

5-8 = -3;   (-3²) = 9

Add the squared results:

9+1+1+0+4+9 = 24

Divide 24 by 6 to get the Variance of 4

Take the square root of the Variance to get the Standard Deviation

\(\sqrt{4}\) = 2

Answer:

Step-by-step explanation:

Solving like terms

-4a + 22b

F(x) = -5x - 8, find F(6)

f(6) = -5(6) - 8

f(6) = -30 - 8

f(6) = -38

Answer:

y = -4x + 12

Step-by-step explanation:

For a line to be parallel, it needs to have the same slope.

Point intercept form: y - y₁ = m (x - x₁)

Where y and x are just kept as y and x, y₁ and x₁ are the parts of a coordinate, and m = slope.

So, in order for the line to be parallel, it needs to have the same slope as the first equation. The slope of the line (which is the "m" in y = mx + b) is..

4x + y = 7

y = -4x + 7

So, m, or the slope, is -4.

Plug this, along with the coordinate the problem gives you into point-intercept form.

y - y₁ = m (x - x₁)

y - 8 = -4 (x - 1)

Simplify.

y - 8 = -4x + 4

Add 8 to both sides.

y = -4x + 12

We have a parallelogram and a half of circle.

The area of parallelogram are: A=basis*height

The area of circle are: A=πr², where r is the radius (half of diameter).  Thus the half circle have Area equals to:

Approaching π to 3,14

parallelogram:

b=26

h=13

A=13*26

A=338

Half circle:

r=12

A=(3,14*12²)/2

A=226,08

Total Area of the figure are:

A=338+226,08

A=564,08

Answer:

75

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

231864 is the goat, creds to him.

have a great day :D

Answer:

it is 2 1/10 i took the test from K12

Step-by-step explanation:

Answer:

a shared multiple of the denominators of several fractions

Explanation : The denominator is the number at the bottom of the fraction and when two fractions have the same number at the bottom(denominator) then they have a common denominator.

The equation 3x = 6.4 can be solved for x by dividing both sides of the equation by 3: 3x/3 = 6.4/3; x = 2.13

So, for 3x and 6.4x to be equal, x must be equal to 2.13. This means that you need to multiply the number 6.4 by 2.13 to equal 3. The equation 3x = 6.4 represents the relationship between two variables, x and 3x. We are trying to find the value of x that would make 3x equal to 6.4. To do this, we divide both sides of the equation by 3. Dividing both sides of an equation by the same number does not change the relationship between the variables; it only scales down the variable's value by the same factor.

So, by dividing both sides of the equation by 3, we get:

3x/3 = 6.4/3

x = 2.13

Finally, to make 6.4x equal to 3, we need to divide 6.4 by 2.13: 6.4 / 2.13 = 3. So, we need to multiply 6.4 by 2.13 to equal 3.

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Your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal from linear equation concept.

For your vacation at the beach, you have already spent $160 on groceries for the week. In addition, you anticipate spending $40 each time you eat out.

To determine your overall budget for the vacation, you need to consider how many times you plan to eat out during the week. Let's say you plan to eat out 'x' number of times.

Since each time you eat out costs $40, the total amount spent on eating out can be represented by the equation:

Total spent on eating out = $40 * x

Adding this to the amount spent on groceries, the total vacation budget can be calculated as:

Total budget = Amount spent on groceries + Total spent on eating out

Total budget = $160 + ($40 * x)

For example, if you plan to eat out 3 times during the week, the calculation would be:

Total budget = $160 + ($40 * 3)

Total budget = $160 + $120

Total budget = $280

In this case, your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal.

The total budget will vary depending on the number of times you plan to eat out. By adjusting the value of 'x', you can calculate the specific total budget for your vacation.

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Answer:

55

Step-by-step explanation:

As you can see, the length of the outer angle is 125. So, 180 - 125 = 55.