Please help. Look at the triangle below.

The Cobb-Douglas utility function satisfies the properties of local non-satiation, decreasing marginal utility for both goods, quasi-concavity, and homotheticity.

The Cobb-Douglas utility function u(x1, x2) = xi^(α) * x2^(β), where α and β are both greater than zero, satisfies the following properties:

(a) Local non-satiation:

This property states that at each point of the consumption set, there is always another bundle that is arbitrarily close and strictly preferred. Thus, the function has local non-satiation.

(b) Decreasing marginal utility for both goods 1 and 2: The marginal utility of a good measures the utility obtained by consuming one more unit of it. The marginal utility of x1 can be obtained as:

MU1 = α * xi^(α−1) * x2^(β)

The marginal utility of x2 can be obtained as:

MU2 = β * xi^(α) * x2^(β−1)

Therefore, both marginal utilities are decreasing in x1 and x2, satisfying this property.

(c) Quasi-concavity:

The Cobb-Douglas function is quasi-concave. This means that the upper contour set of any level set of the function is convex. This can be proved by taking the second partial derivative of the function and checking whether it is negative or not.

(d) Homotheticity:

The Cobb-Douglas function is homothetic. This means that its shape is independent of the total level of utility. The proof can be achieved by checking whether the function is homogeneous of degree one or not. This is true, since multiplying the inputs by any positive scalar λ leads to a proportional increase in the output.

In conclusion, the Cobb-Douglas utility function satisfies all four properties - local non-satiation, decreasing marginal utility for both goods 1 and 2, quasi-concavity, and homotheticity.

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Answer:

hope this helps you

Answer:

105

Step-by-step explanation:

2x17=34

17x2.5=42.5

1.5x17=25.5

1/2x2x2x1.5=3

34+42.5+25.5+3=105

Answer Po Ba Ay 11.33?

Step-by-step explanation:

Calc

We have a segment with 3 points. The complete segment goes from A to C, and point B divides it in 2 sibsegments (AB and BC)

Note that segment AC is composed by those 2 subsegments, so its complete legth will be equal to the sum of the leghts of subsegments AB and BC. Then, we can build the following equation:

As we know the lengths in terms of x, we just need to replace in the previous equation:

Now, we can solve for x:

In the given computation, the error is in solving the distance of XZ. The square of -2 is not -4 for but +4.

The correct computation will be:

Therefore, according to the correct calculations, the triangle is an isosceles triangle.

For your first answer 2=x+5/17 your second answer is 29. This is because "x" is the number that you need to bake which is 29. Therefore, 31/17=2

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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From quadrilateral 1,

VW = 31, WX = 19, YW = 36.4, ZX = 18.2 and VX = 36.4

From the second quadrilateral, GE = 28, DG = 25.74, DI = 28, EI = 25.74, GI = 11

Note, opposite sides of a quadrilateral are equal.

From the first quadrilateral

VWXY

From triangle VXY

VY = 19

XY = 31

VX = ?

To obtain VX, let's apply Pythagoras theorem

VX² = VY² + XY²

VX² = 19² + 31²

VX² = 361 + 961

VX² = 1322

VX = √1322

VX = 36.359

Therefore VX is Approximately 36.4.

ZX = VX/2

ZX = 36.4/2

Therefore ZX = 18.2

From triangle WXY

XY = 31

WX = 19

WY = ?

Applying Pythagoras theorem,

WY² = WX² + XY²

WY² = 19² + 31²

Therefore, WY is approximately 36.4

From the second quadrilateral,

DE = GI = 11

GE = 2 ( GH)

= 2 * 14

Therefore, GE = 28

From triangle DGI,

Applying Pythagoras theorem,

DI² = DG² + GI²

28² = DG² + 11²

DG² = 28² - 11²

DG² = 784 - 121

DG² = 663

DG = √663

Therefore DG is approximately 25.74

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Answer:

2/5

Step-by-step explanation:

This is because the whole wall is 5/5 (5/5 = 1 whole).

5/5 - 3/5 = 2/5

When we add or subtract like fractions, we ignore the same denominator, and just add or subtract the numerator.

Hope this helps.

Answer:

\(\frac{12g^{5} }{h}\)

Step-by-step explanation:

\(\frac{12g^{8}h^{4} }{g^{3}h^{5} } =12g^{(8-3)} h^{4-5} =12g^{5} h^{-1} =\frac{12g^{5} }{h}\)

Hope this helps

Therefore, the slope of the line tangent to the graph of x² + xy + y² = 7 at the point (2,1) is -5/4.

To find the slope of the line tangent to the graph of the equation x² + xy + y² = 7 at the point (2,1), we need to find the derivative of the equation with respect to x and evaluate it at that point.

Differentiating the equation implicitly with respect to x:

2x + y + x(dy/dx) + 2y(dy/dx) = 0

Rearranging and solving for dy/dx:

(dy/dx) = -(2x + y) / (x + 2y)

Substituting the coordinates of the point (2,1) into the derivative:

(dy/dx) = -(2(2) + 1) / (2 + 2(1))

(dy/dx) = -5 / 4

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If the utilization of an M/M/1 model is 0.6, the c of time there is at least one person in the system is 100%.

In an M/M/1 model, the utilization represents the ratio of the arrival rate (λ) to the service rate (μ). If the utilization is less than 1, it means that the arrival rate is lower than the service rate, and the system is not fully utilized. However, even with a utilization of 0.6, there will still be instances where there is at least one person in the system. This is because the arrival rate is not zero, indicating that customers are still arriving, albeit at a lower rate compared to the service rate. Therefore, the percentage of time with at least one person in the system would be 100%. If you are told that the utilization rate for an M/M/1 model is 0.8 and the average number of people in the system is 4, it is impossible to determine the average number of people in the queue without further information. The average number of people in the queue depends on factors such as the arrival rate and service rate, which are not provided in this scenario. The utilization rate alone and the average number of people in the system do not provide sufficient information to calculate the average number of people in the queue accurately. Therefore, it is impossible to determine the average number of people in the queue based solely on the given information.

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The margin of error of the 90% confidence interval will be 0.024 and it increases when there's a higher confidence interval.

The margin of error of the 99% confidence interval will be:

= 1.645 × [✓0.36(1 - 0.36)/1006

= 0.024

The margin of error for a 99% confidence interval will be calculated thus:

= 2.576 × [✓0.36(1 - 0.36)/1006

= 0.03898

This implies that margin error increases when there's a higher confidence interval.

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Answer:

S'(-6, 3); T'(-6, 4); U'(4, 4); V'(4, 3)

Step-by-step explanation:

S(-4, 7)

T(-4, 8)

U(6, 8)

V(6, 7)

(x - 2, y - 4)

S'(-4 - 2, 7 - 4)

S'(-6, 3)

T'(-4 - 2, 8 - 4)

T'(-6, 4)

U'(6 - 2, 8 - 4)

U'(4, 4)

V'(6 - 2, 7 - 4)

V'(4, 3)

Answer:

0.545 your welcome :D

Step-by-step explanation:

109÷200

Answer: 0.545

I just searched it up...... ya welcome homie

Step-by-step explanation:

search it "109 divided by 200" you'll get ur answer

Since the given matrix has more columns than rows, it cannot have linearly independent columns. Therefore, the columns of the matrix form a linearly dependent set.

Checking whether the simple solution x = 0 is the only answer to the equation Axe = 0, where A is the provided matrix, will reveal whether the columns of a matrix constitute a linearly independent set.

Let's call the matrices provided A:

A = [[-4, -3, 0], [0, -1, 6], [1, 1, -6], [2, 1, -12]]

We solve for Axe = 0 to determine whether there is linear independence. To accomplish this, the augmented matrix [A|0] must be built up and subjected to row operations to reduce it to its row-echelon form. The fact that the matrix has more columns than rows, however, makes it clear that the possibility of the columns forming a linearly independent set is ruled out.

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The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

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We can parameterize the quarter-circle C by using the parameter t to represent the angle that the line connecting the point (3, 0) and the point on the circle makes with the x-axis. So, the line integral ∫C(3x−y)ds = 9.

To evaluate the line integral ∫C(3x−y)ds, where C is the quarter-circle x^2 + y^2 = 9 from (0, 3) to (3, 0), we need to parameterize the curve and compute the integral.
1. Parameterize the curve: For the quarter-circle, we can use polar coordinates. Since x = r*cos(θ) and y = r*sin(θ), we have:
x = 3*cos(θ)
y = 3*sin(θ)
where θ goes from 0 to π/2 for the given quarter-circle.
2. Compute the derivatives:
dx/dθ = -3*sin(θ)
dy/dθ = 3*cos(θ)
3. Find the magnitude of the tangent vector:
|d/dθ| = sqrt((dx/dθ)^2 + (dy/dθ)^2) = sqrt(9*(sin^2(θ) + cos^2(θ))) = 3
4. Substitute the parameterization into the integrand:
(3x - y) = 3(3*cos(θ) - 3*sin(θ))
5. Evaluate the line integral:
∫C(3x−y)ds = ∫₀^(π/2) (3*(3*cos(θ) - 3*sin(θ)))*3 dθ = 9 ∫₀^(π/2) (cos(θ) - sin(θ)) dθ
Now, we can integrate with respect to θ:
= 9 [sin(θ) + cos(θ)]₀^(π/2) = 9 [(sin(π/2) + cos(π/2)) - (sin(0) + cos(0))] = 9 * (1 - 1 + 1) = 9.

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Answer:

4

Step-by-step explanation:

3r = 10 + 5s

r = 10

3(10) = 10 + 5s

30 = 10 + 5r

20 = 5r

r = 4

Answer:

12/37

Step-by-step explanation:

SOH - CAH - TOA

O = opposite

A = adjacent

H = hypotenuse

Sin = O/H

Sin N = 12/37

Answer:Find sin N

sinN=

hypotenuse/opposite

​12/37

Step-by-step explanation:

Answer:

\(t=\frac{2C}{c1-c2}\)

Step-by-step explanation:

\(C=\frac{1}{2}t(c1-c2)\\2(C)=2(\frac{1}{2}t(c1-c2))\\2C=t(c1-c2)\\\frac{2C}{c1-c2}=\frac{t(c1-c2)}{c1-c2}\\t=\frac{2C}{c1-c2}\)

Answer:

\(t=\frac{2C}{c_{1}-c_{2}}\)

Step-by-step explanation:

\(C=\frac{1}{2}*t(c_{1}-C_{2})\\\\\)

Multiply both sides by 2,

\(2*C=2*\frac{1}{2}*t*(c_{1}-c_{2})\\\\2C=t*(c_{1}-c_{2})\\\\\frac{2C}{(c_{1}-c_{2})}=t\\\\\\t=\frac{2C}{c_{1}-c_{2}}\)

We need 200 kg sand, 600 kg gravel and 800 kg cement to make 1600 kg of dry concrete

Dry concrete is made of sand, gravel and cement

The ratio of sand, gravel and cement = 1:3:4

Required concrete as per the question = 1600 kg

Sum total of all ratios = 1+3+4 = 8

Therefore out of a total of 1600 kg we need, 1/8 sand, 3/8 gravel and 4/8 cement

So, Sand = 1600*1/8 = 200 kg

Gravel = 1600*3/8 = 600 kg

Cement = 1600*4/8 = 800 kg

Hence, we need 200 kg sand, 600 kg gravel and 800 kg cement

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200 kg sand, 600 kg gravel and 800 kg cement

Answer:

fjhghjjjjjjjf

Step-by-step explanation:

教えて 教えてよ その仕組みを 僕の中に誰がいるの?

壊れた 壊れたよ この世界で 君が笑う 何も見えずに

壊れた僕なんてさ 息を止めて

ほどけない もう ほどけないよ 真実さえ freeze

壊せる 壊せない 狂える 狂えない

あなたを見つけて 揺れた

歪んだ世界にだんだん僕は 透き通って見えなくなって

見つけないで 僕のことを 見つめないで

誰かが描いた世界の中で あなたを傷つけたくはないよ

覚えていて 僕のことを

鮮やかなまま

無限に広がる孤独が絡まる 無邪気に笑った記憶が刺さって

動けない 動けない 動けない 動けない 動けない 動けないよ

Unravelling the world

変わってしまった 変えられなかった

2つが絡まる 2人が滅びる

壊せる 壊せない 狂える 狂えない

あなたを汚せないよ 揺れた教えて 教えてよ その仕組みを 僕の中に誰がいるの?

壊れた 壊れたよ この世界で 君が笑う 何も見えずに

壊れた僕なんてさ 息を止めて

ほどけない もう ほどけないよ 真実さえ freeze

壊せる 壊せない 狂える 狂えない

あなたを見つけて 揺れた

歪んだ世界にだんだん僕は 透き通って見えなくなって

見つけないで 僕のことを 見つめないで

誰かが描いた世界の中で あなたを傷つけたくはないよ

覚えていて 僕のことを

鮮やかなまま

無限に広がる孤独が絡まる 無邪気に笑った記憶が刺さって

動けない 動けない 動けない 動けない 動けない 動けないよ

Unravelling the world

変わってしまった 変えられなかった

2つが絡まる 2人が滅びる

壊せる 壊せない 狂える 狂えない

あなたを汚せないよ 揺れた

The information which the line of best fit predict about the increase in the minimum wage over the 70 year period is that: C) Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.096 dollars.

In Mathematics, a line of best fit is sometimes referred to as a trend line and it can be defined as a statistical or analytical tool that is commonly used in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.

Based on the scatter plot, an equation which represents the line of best fit include the following:

y = 0.096x - 0.488.

In this context, we can logically deduce that the initial minimum wage is  $0.488 and the average increase in minimum wage is equal to 0.096 dollars each year between 1940 and 2010.

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Answer:

The overall federal income tax payment for this individual would be $970 + $3,036 = $4,006. So the correct answer is A. $4,006.

Step-by-step explanation:

The individual pays $970 for the 10% tax bracket and $3,036 for the 12% tax bracket. Adding these two amounts together gives us a total federal income tax payment of $4,006.

The fraction of the occupied apartments is 9/10.

In mathematics, a fraction is a symbol for a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

Given that,

Total apartments in the building = 200.

Also,

The number of apartments leased by realtor = 180

The fraction of the apartments which is occupied by realtor

= number of apartments leased /Total apartments

= 180 / 200

= 18 / 20

= 9 / 10

The required fraction is 9/10, implies that from each 10 apartments, 9 apartments are occupied.

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Answer:

24 blocks

Step-by-step explanation:

Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

The addition equation to represent Jackson's net change in money is x + (-y) = 4.63

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Jackson receives 4.63 as his change at the grocery store. He places it into a charity donation jar at the register.

WE need to Write an addition equation to represent Jackson's net change in money.

Given that :

The change received = 4.63

The Net change in money :

Let initial amount before purchase is represented by  x

The Cost of item purchased = y (negative as it is incurred)

The Net change in money:

Initial amount + cost of item purchased = change received

x + (-y) = 4.63

Therefore, an addition equation to represent Jackson's net change in money is x + (-y) = 4.63

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