Find the slope between points (–2, 6) and (6, 2).

Answer:

this

Step-by-step explanation:

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:

A equals 14/3

Step-by-step explanation:

Please mark brainliest

​

Answer:

\(-\frac{4}{3},\frac{14}{3}\)

Step-by-step explanation:

1) Break down the problem into these 2 equations.

−3a+5=9

−(−3a+5)=9

2) Solve the 1st equation: −3a+5=9.

   1 Subtract 5 from both sides.

   −3a=9−5

   2 Simplify  9−5  to  4.

   −3a=4

   3 Divide both sides by −3.

    a=\(-\frac{4}{3}\)​

​

3 Solve the 2nd equation: −(−3a+5)=9.

   1 Remove parentheses.

   3a−5=9

   2 Add 5 to both sides.

   3a=9+5

    3 Simplify  9+5  to  14.

    3a=14

    4 Divide both sides by 3.

    a=\(\frac{14}{3}\)

​

4 Collect all solutions.

a=\(-\frac{4}{3},\frac{14}{3}\)

The statement "x ∈ {x}" is true. The statement "{x} ⊆ {x}" is true. The statement "{x} ∈ {x}" is false. The statement "{x} ∈ {{x}}" is true.

a) The statement is true because an element x can be a member of a set that contains only itself. In this case, the set {x} contains the element x.

b) The statement is true because every element in {x} is also in {x}. Since both sets are identical, {x} is a subset of itself.

c) The statement is false because a set cannot be an element of itself. In this case, {x} is a set, and it cannot be an element of the same set.

d) The statement is true because the set {{x}} contains the set {x} as its only element. Therefore, {x} is an element of the set {{x}}.

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The first law of thermodynamics is a fundamental principle in physics that states energy cannot be created or destroyed, only converted from one form to another. It can be expressed in terms of heat and work through the equation:

ΔU = q - w

where ΔU represents the change in internal energy of a system, q represents the heat added to the system, and w represents the work done on or by the system.

Now, let's address when the quantities q and w would be negative numbers.

1) When q is negative: This occurs when heat is removed from the system, indicating an energy loss. For example, when a substance is cooled, heat is extracted from it, resulting in a negative value for q.

2) When w is negative: This occurs when work is done on the system, decreasing its energy. For instance, when compressing a gas, work is done on it, leading to a negative value for w.

In both cases, the negative sign indicates a reduction in energy or the transfer of energy from the system to its surroundings.

In summary, the first law of thermodynamics can be expressed as ΔU = q - w, and q and w can be negative numbers when energy is lost from the system through the removal of heat or when work is done on the system.

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Answer:

the answer is C.two parallel lines.

Given parameters:

Force  = 30N

Distance covered  = 3m

Unknown:

Work done = ?

Work done is an important physical quantity. It is formulated as the product of force and distance.

   Work done  = Force x Distance

The unit is in Joules.

Now go ahead and input the parameters;

                  Work done  = 30 x 3  = 90J

The work done in pushing the car is 90J

No, a reaction does not occur when aqueous solutions of chromium(II) bromide and aluminum acetate are combined. To determine if a reaction occurs between chromium(II) bromide (CrBr2) and aluminum acetate (Al(CH3COO)3).

We need to consider the solubility rules and potential chemical reactions between the ions. According to the solubility rules, bromides (Br-) are generally soluble in water, and acetates (CH3COO-) are also soluble. Therefore, both chromium(II) bromide and aluminum acetate will dissociate into their respective ions when dissolved in water.

The ions present in chromium(II) bromides are Cr2+ and Br-. The ions present in aluminum acetate are Al3+ and CH3COO-. When these solutions are combined, there are no double replacement reactions or precipitation reactions that occur between the ions.

Since there is no reaction between the ions, we can conclude that no new compounds or products are formed. Hence, the answer is that no reaction occurs when aqueous solutions of chromium(II) bromide and aluminum acetate are combined. As no net ionic equation is required in this case, the explanation above is sufficient to state that there is no reaction between chromium(II) bromide and aluminum acetate.

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Answer:

he actual densities of pure, dry, geologic materials vary from 880 kg/m3 for ice (and almost 0 kg/m3 for air) to over 8000 kg/m3 for some rare minerals. Rocks are generally between 1600 kg/m3 (sediments) and 3500 kg/m3 (gabbro).

Step-by-step explanation:

Answer:

$80.12; approx. $80

Step-by-step explanation:

- multiply 68.48 x 17% or 68.48 x 0.17 = 11.64

- the tax is 11.64

- add 68.48 + 11.64

- her total is $80.12

- rounded it would be $80

Hope this helped!

Answer:

By measuring the length of the sides and angles

Answer: If they are congruent, you'll see that they are exactly the same as one another. If there's measurements, they'll have the same numbers. If they are similar, they might be the same shape or just have similar measurements

Step-by-step explanation:

Answer:

The linear inequality for x is -20.

Step-by-step explanation:

\( - 10 + x < - 10 \\ \frac{ + 10 \: \: \: \: \: \: \: \: \: < - 10 \: \: \: }{ x < - 20} \)

Answer:

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius.

In this case, we are given that the area is 4π cm². Solving for the radius, we get:

4π = πr^2

r^2 = 4

r = 2

So the radius of the circle is 2 cm.

The formula for the circumference of a circle is:

C = 2πr

Plugging in the value for the radius, we get:

C = 2π(2) = 4π

Therefore, the circumference of the circle is 4π cm.

Answer:

C

Step-by-step explanation:

4(x + 1) + 7(x + 3) = 11x+25

Answer: 3.46

Step-by-step explanation:

Answer:

B.C.E.

just did it on edge 2021

Answer:

yes the other person is right its B.C.E

Step-by-step explanation:

The given economic model has four identities, two behavioral equations, three equilibrium conditions, and four variables. The size of the labor force is 2,920,000 and the unemployment rate is 3.22%.

The identities in the model are:

Z ≡ C + I + G: This identity states that total spending (Z) is equal to consumption (C), investment (I), and government spending (G).

Yd ≡ Y - T: This identity defines disposable income (Yd) as total income (Y) minus taxes (T).

C = 100 + 0.5(Yd): This identity represents consumption (C) as a function of disposable income (Yd), with a consumption function that has an intercept of 100 and a marginal propensity to consume of 0.5.

I = 100 + 0.1Y: This identity represents investment (I) as a function of total income (Y), with an investment function that has an intercept of 100 and a marginal propensity to invest of 0.1.

The behavioral equations in the model are equations (3) and (4) above, which represent the consumption and investment functions, respectively.

The equilibrium conditions in the model are:

Y = Z: This condition states that total income (Y) is equal to total spending (Z) in the economy.

Yd = C + I: This condition ensures that disposable income (Yd) is equal to consumption (C) plus investment (I).

Y = Yd: This condition implies that total income (Y) is equal to disposable income (Yd).

The model has four variables: Z (total spending), Y (total income), Yd (disposable income), and T (taxes).

To calculate the size of the labor force and the unemployment rate, we need to know the total labor force and the number of unemployed individuals. The labor force is the sum of employed and unemployed individuals. In this case, the labor force is 2,826,000 (employed) + 94,000 (unemployed) = 2,920,000.

The unemployment rate can be calculated by dividing the number of unemployed individuals by the labor force and multiplying by 100 to get a percentage. In this case, the unemployment rate is (94,000 / 2,920,000) * 100 ≈ 3.22%.

Therefore, the size of the labor force is 2,920,000 and the unemployment rate is approximately 3.22%.

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The equation that represents the relationship between the number of days and the number of pages  Lila reads is y = 42x

If Lila read 84 pages in 2 days and 210 pages in 5 days, the number of pages "y" and the number of days "x" can be express in coordinate form as shown:

(2, 84) and (5, 210)

To get the required equation, we will find the equation of the line passing through the coordinate points as shown:

y = mx + b

m is the slope

b is the y-intercept;

Get the slope

\(m =\frac{210-84}{5-2}\\m=\frac{126}{3}\\m=42\\\)

Get the y-intercept:

84 = 42(2) + b

84 = 84 + b

b =0

Get the required equation:

Recall that y = mx+ b

y = 42x + 0

y = 42x

Hence the equation that represents the relationship between the number of days and the number of pages  Lila reads is y = 42x

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Hey there! I'm happy to help!

to find the volume of a sphere, you cube the radius, multiply it by 4/3, and then multiply it by π.

First, we have to find the radius. To find the surface area you square the radius and multiply it by 4 and then π.

Let's do that formula backwards on our surface area to find the radius.

We divide by π

100÷π=100

We divide by 4.

100÷4=25

We find the square root.

√25=5

Now, we use our radius in the volume formula.

5³=125

125×4/3=500/3

We multiply by π.

500/3π

Therefore, the volume of a sphere if its surface area is 100π ft² is 500/3π ft³.

Have a wonderful day! :D

Answer:

V=166.66\(\pi\) ft³

Step-by-step explanation:

The surface area of a sphere is 4\(\pi\)r²

100\(\pi\)=4

100\(\pi\)/4

25=r²

r=5

Now that we know the radius is 5, we can find the volume.

v=4/3\(\pi\)(5)³

v=(5*5*5*4)/3*\(\pi\)

V=166.66\(\pi\)

Answer:

c) \(\sqrt{13}\)

Step-by-step explanation:

\(\sqrt{13}\) is between the whole numbers 3 and 4

\(\sqrt{9}\) = 3

\(\sqrt{16}\) = 4

Answer:

73

Step-by-step explanation:

A= 2(wl+hl+hw)

A= 2(3.5×4+3×4+3×3.5)

A= 2(14+12+10.5)

A= 2(36.5)

A= 2×36.5

A= 73

The value of slope of the line is,

m = 5/2

We have to given that,

A line shown in graph.

Let's take two points on the graph,

⇒ (4, 5) and (6, 10)

Now,

Since, The equation of line passes through the points (4, 5) and (6, 10)

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (10 - 5) / (6 - 4)

m = 5 / 2

Thus, The value of slope of the line is,

m = 5/2

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The matrix A is diagonalizable for all real values of k except when K = 0, 4, and -3.

To find the power of a matrix, A raised to the power n, use the following steps:Compute the eigenvalues of the matrix A.Compute the corresponding eigenvectors of A.Diagonalize the matrix A to find the matrix P.Construct the matrix D that contains the eigenvalues of A.

Raise the matrix D to the power n, and then find the product PDP^-1.Here, the given matrix is `[3 -2 -1 2]^-6`Steps to follow:Let's first compute the eigenvalues of the matrix A using the formula |A - λI| = 0. We have,```
[3 -2 -1 2]  * [x;y;z;t] = λ * [x;y;z;t]
  -2      3  2      -1          -2     3  2     -1
  -1      2  3      -2   *      -1     2  3     -2
   2     -1 -2       3           2    -1 -2      3
So, the equation becomes
λ⁴ - 4λ³ - 35λ² + 116λ - 84 = 0
Using long division method, we get (λ - 4) (λ - 3) (λ - 2) (λ - 1) = 0The eigenvalues of the matrix A are 1, 2, 3, and 4.Now, let's compute the eigenvectors for each eigenvalue.1. When λ = 1, A - λI =```
[2 -2 -1 2]
-2  2  2 -1
-1  2  2 -2
2 -1 -2  2
 ```
Using row operations, we get
```
[1 -1 -1 1]
0  0  0  0
0  0  0  0
0  0  0  0
```
So, the eigenvector for λ = 1 is [1, 1, 0, 1].2. When λ = 2, A - λI =```
[1 -2 -1 2]
-2  1  2 -1
-1  2  1 -2
2 -1 -2  1
 ```
Using row operations, we get
```
[1 -2 -1 2]
0  0  3 -5
0  0  0  0
0  0  0  0
```
So, the eigenvector for λ = 2 is [1, 1/3, 1, 1/3].3. When λ = 3, A - λI =```
[0 -2 -1 2]
-2  0  2 -1
-1  2 -1 -2
2 -1 -2  0
 ```
Using row operations, we get
```
[1 0 -1 0]
0  1  0  1
0  0  0  0
0  0  0  0
```
So, the eigenvector for λ = 3 is [1, 0, 1, 0].4. When λ = 4, A - λI =```
[-1 -2 -1 2]
-2 -1  2 -1
-1  2 -1 -2
2 -1 -2 -1
 ```
Using row operations, we get
```
[1 2 1 0]
0  1 -2 0
0  0  0 1
0  0  0 0
```
So, the eigenvector for λ = 4 is [1, 2, 0, 1].So, the matrix P is given by [1 1 0 1;1 1/3 1 2;0 1 1 0;1 1/3 0 1], and the matrix D is given by [1 0 0 0;0 2 0 0;0 0 3 0;0 0 0 4].Now, we need to find all the real values of k for which A is diagonalizable.

A matrix A is diagonalizable if and only if there exist n linearly independent eigenvectors of A. Let's check if the eigenvectors are linearly independent.The eigenvectors we found for the matrix A are [1, 1, 0, 1], [1, 1/3, 1, 1/3], [1, 0, 1, 0], and [1, 2, 0, 1]. Let's write them as columns of a matrix and check if the determinant of the matrix is nonzero.```
[1 1 1 1]
[1 1/3 0 2]
[0 1 1 0]
[1 1/3 0 1]
```
Using row operations, we get
```
[1 0 0 0]
[0 1 0 0]
[0 0 1 0]
[0 0 0 1]
```
Since the determinant of the matrix is nonzero, the eigenvectors are linearly independent. Hence, the matrix A is diagonalizable.Now, let's find the value of k. To diagonalize the matrix A, we need to find a matrix P and a diagonal matrix D such that A = PDP^-1.```
[3 2 0 K][1 1 0 1]   [1 0 0 0][1 1 0 1]-1
       [1/3 1 0 2] [0 2 0 0][0 1 1 0]
       [0 1 3 0]   [0 0 3 0][0 0 1 0]
       [1/3 2 0 1] [0 0 0 4][1 1 0 1]
```
Using row operations, we get
```
[3 0 0 0]
[0 2 0 0]
[0 0 3 0]
[0 0 0 4]
```
So, P^-1 = P^T.```
[1 1/3 0 1/3]
[1 1   1 2]
[0 0   1 0]
[1 2   0 1]
```
So, P =```
[1 1 0 1]
[1 1/3 1 2]
[0 1 1 0]
[1/3 2 0 1]
```
Thus, the diagonalized matrix A is given by```
[3 2 0 K][1 0 0 0]   [1 1 0 1][1 0 0 0]   [1 1 0 1][3 0 0 0][1 0 0 0][1 1 0 1]^-1
       [0 2 0 0][0 2 0 0][1/3 1 0 2] [0 1 1 0]
       [0 0 3 0][0 0 3 0][0 1 1 0]   [0 0 1 0]
       [0 0 0 4][0 0 0 4][1/3 2 0 1] [1/3 2 0 1]
```
So, the matrix A is diagonalizable for all real values of k except when K = 0, 4, and -3.

Therefore, the solution is k ≠ 0, k ≠ 4, and k ≠ -3. Answer: k ≠ 0, k ≠ 4, k ≠ -3.

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Th find the kicker with the greatest goal success rate, Coach Salinas should:

Statistics refers to the method of collecting data for the purpose of analysis, making of inferences and drawing of conclusions about the data collected.

Statistics usually involve numerical data in large quantities.

Statistical data can be used to make predictions about future events. They are also used to make decisions. For example, the statistical data of soccer players such as games/goal ratio, number of complete dribbles per match, number of successful take-ons, number of tackle or interceptions per game can be used in deciding which soccer player a football team should buy.

In the given scenario, Coach Salinas wants to compare the kicking statistics for kickers on their team in order to find the kicker with the greatest goal success rate.

To do this, Coach Salinas should:

In conclusion, statistical data is important in making decisions.

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Answer:

A and D are the answers.

Step-by-step explanation:

Answer:

35,000 feet

Step-by-step explanation:

So t is the atmospheric temperature

g is the ground temperature

First sub in the values that you know

t = -65.5 and g = 57

-65.5 = -0.0035a + 57

Rearrange: to make 'a' on its own

-65.5 - 57 = -0.0035a

-122.5/-0.0035 = a

Use a calculator

a = 35,000 ft

Answer:

C

Step-by-step explanation:

Got it right on Edge

The expression which is the result of subtracting the complex number (Z2-3i) from another complex number (Z1 + 2) is 9-2i.

To find the value of a complex number from the graph, follow the steps below.

The point Z1 is 3 units right and 4 units down from the origin point. Thus, the complex number which represent it is,

\(Z_1=3-4i\)

The point Z2 is 4 units left and 1 units up from the origin point. Thus, the complex number which represent it is,

\(Z_2=-4+1i\)

The expression which is the result of subtracting (Z2-3i) from (Z1 + 2) is,

\((Z_1 + 2)-(Z_2-3i)\\(3-4i + 2)-(-4+i-3i)\\3-4i + 2+4-i+3i\\9-2i\)

Hence, the expression which is the result of subtracting the complex number (Z2-3i) from another complex number (Z1 + 2) is 9-2i.

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Answer:

50 : 3

Step-by-step explanation:

Step 1: Start with the basic ratio

Adult Panda : Baby Panda

200 : 12

Step 2: Simplify

200 : 12

100 : 6

50 : 3

Step 3: Therefore Statement

Therefore the ratio of an adult panda to a baby panda's wieight is 50 : 3

The value of y for which the given sequence is geometric is -3.

To determine the values of y for which the given sequence is geometric, we need to check if the ratios between consecutive terms are constant.

The sequence is: √(y+2), √(y-1), 2

To find the ratio between the second term and the first term, we divide the second term by the first term: (√(y-1))/(√(y+2))

Similarly, to find the ratio between the third term and the second term, we divide the third term by the second term: 2/(√(y-1))

For a geometric sequence, these ratios should be equal. So, we can set up the equation:
(√(y-1))/(√(y+2)) = 2/(√(y-1))

To simplify this equation, we can cross multiply:
(√(y-1))^2 = 2^2 * (√(y+2))^2

Simplifying further:
y - 1 = 4(y + 2)

Now, we can solve for y:
y - 1 = 4y + 8
-3y = 9
y = -3
Therefore, the value of y for which the given sequence is geometric is -3.

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Answer: 5 Months

Step-by-step explanation:

Alright, we know he will make $120 a month (since 50 + 70 = 120)

(Let's have months=m)

So now we need to figure out for how many months (m) will he need to get to $600.

We know 120 a month so we can get the equation: 120m=600

Now all we have to do is solve for m

Divide both sides by two to get m=5

Checking Answers

70(5)=350

50(5)=250

250+350=600

So this solution works.

Answer: 5 months

Step-by-step explanation: so, what you have to do is add up 120 5 times so in total you will have 600 so the answer is 5 months.