Determine the equation of the graph and select the correct answer below.
Answers:
A) y = (x + 2)^2 + 4
B) y = (x − 2)^2 − 4
C) y = −(x − 2)^2 − 4
D) y = −(x + 2)^2 − 4

The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.

The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.

Given the production function q = 1000KL, we can differentiate it with respect to L:

d(q)/d(L) = 1000K

Therefore, the RTS of the isoquant for production level q is 1000K.

The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.

Labor cost = $20/hour

Capital cost = $40/machine/hour

Ratio of labor to capital cost = Labor cost / Capital cost

                              = $20/hour / $40/machine/hour

                              = 0.5

The ratio of labor to capital cost is 0.5.

To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.

Let C(K, L) be the total cost function.

The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:

C(K, L) = 40K + 20L

To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.

The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.

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Answer:

the answer is C

go along the x and in ue case it is going along the left which means the linear will be negative so thats x-2

and in cases like going downwards the y the linear value will also be negative so thats y-5

so its (x-2)(y-5)

Answer:

Choice 3

Step-by-step explanation:

The reason why is because 2/3 x 1/3 = 2/9 and the third choice represents 2/9 btw you can't give brainliest until another person answers aswell.

The length of the hypotenuse is approximately 30.8 units.

The angle at vertex X is approximately 36.9 degrees.

The angle at vertex Y is approximately 35.2 degrees.

In your problem, we have a right triangle XYZ, where the angle at vertex Y is the right angle. The length of leg YZ is given as 18 units, and the length of leg XZ is given as 25 units.

In this particular problem, we can use the sine ratio to solve for the length of leg XY. Specifically, we have:

sin(XYZ) = XY / XZ

Since we know that XYZ is a right angle (i.e., 90 degrees), we can substitute in the appropriate values to get:

sin(90) = XY / 25

Since the sine of 90 degrees is 1, we can simplify this to:

1 = XY / 25

Multiplying both sides by 25 gives us:

XY = 25

So the length of leg XY is 25 units.

To find the other angles in the triangle, we can use the inverse trigonometric functions (such as arcsine or arccosine). For example, we can use the cosine ratio to solve for the angle at vertex X:

cos(XYZ) = XZ / hypotenuse

cos(90) = 25 / hypotenuse

0 = 25 / hypotenuse

Since the cosine of 90 degrees is 0, we know that hypotenuse = 25 / 0 is undefined. However, we can use the Pythagorean theorem to find the length of the hypotenuse:

hypotenuse² = XY² + XZ²

hypotenuse² = 25² + 18²

hypotenuse² = 625 + 324

hypotenuse² = 949

Taking the square root of both sides gives us:

hypotenuse = √(949) ≈ 30.8

Now that we know the lengths of all three sides of the triangle, we can use the sine and cosine ratios to solve for the other angles. For example, to find the angle at vertex X, we can use the cosine ratio:

cos(X) = XZ / hypotenuse

cos(X) = 25 / 30.8

cos(X) ≈ 0.811

Taking the inverse cosine (or arccosine) of both sides gives us:

X ≈ 36.9 degrees

Similarly, we can use the sine ratio to find the angle at vertex Y:

sin(Y) = YZ / hypotenuse

sin(Y) = 18 / 30.8

sin(Y) ≈ 0.584

Taking the inverse sine (or arcsine) of both sides gives us:

Y ≈ 35.2 degrees

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18 7/10 liters of milk does he milk from both cows.

According to the question

Mr. benjamin milk 8 1/5 from the black cow and 10 1/2 liters of the brown cow

Milk from both cows

= 8 1/5 + 10 1/2

converting mixed fraction into proper fraction

8 1/5 = \(\frac{8 \times 5 +1}{5}\) = 41/5

10 1/2 = \(\frac{10 \times 2 +1}{2}\) = 21/2

= \(\frac{41}{5} +\frac{21}{2}\)

= \(\frac{2 \times 41+21 \times 5}{10}\)

= \(\frac{82+105}{10}\)

= \(\frac{187}{10}\)

converting fraction into mixed fraction

= \(\frac{180+7}{10}\)

= 18 7/10

Therefore,

18 7/10 liters of milk does he milk from both cows.

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Answer:

Step-by-step explanation:

-1/2 * -2/√3

1/√3 *√3/√3 = √3/3

Option 5

The coordinate of the point  on the directed line segment that partitions the segment into a ratio of 4 to 3 is (29/7,50/7)

The given parameters are:

A = (-1,6)

B = (8,8)

Ratio, m : n = 4 : 3

The coordinate at the partition is calculated using:

\((x,y) = \frac{1}{m + n} * (mx_2 + nx_1,my_2 + ny_1)\)

So, we have:

\((x,y) = \frac{1}{4 + 3} * (4 * 8 + 3 * -1,4 *8 + 3 * 6)\)

Evaluate

\((x,y) = \frac{1}{7} * (29,50)\)

Evaluate the product

(x,y) = (29/7,50/7)

Hence, the coordinate of the point is (29/7,50/7)

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Answer:

17,500,000 cm.

Step-by-step explanation:

3.5cm(5,000,000 years) = 17,500,000

Step-by-step explanation:

How to solve your problem

(x+5)=x

Solve

1

Subtract

5

from both sides

x+5=x

x+5

2

Simplify

Subtract the numbers

x=x-5

3

Subtract

x

from both sides

x=x-5

Simplify

Combine like terms

Combine like terms

0=-5

Result

0=-5

The input is a contradiction: it has no solutions

Answer:

x=x-5 or 0=-5

Step-by-step explanation:

subtract 5 from both sides

Step-by-step explanation:

The answer is in the pic above

Answer: 11

Step-by-step explanation:

Answer:

uh. 11

Explanation:

7 + 4 = 11

Answer:

two

Step-by-step explanation:

one and add another one

Answer: $6.37

Step-by-step explanation: I don't understand the question or if your answering something

The appropriate regression model depends on the stationarity properties of both the dependent and independent variables, as well as the error term. The researcher can use a standard OLS regression model with first-order differencing of both Y and X.

In the first scenario, both Y and X are I(0), which means they are stationary time series. In this case, the researcher can perform a standard linear regression analysis, as the stationary series would lead to a stable long-run relationship. The answer from this model will be reliable and less likely to suffer from spurious regressions. In the second scenario, Y is I(2) and X is I(0). This implies that Y is integrated of order 2 and X is stationary. In this case, the researcher should first difference Y twice to make it stationary before performing a regression analysis. However, this approach might not be ideal as the integration orders differ, which can lead to biased results.

In the third scenario, Y and X are both I(1) and the error term is I(0). This indicates that both Y and X are non-stationary time series, but their combination might be stationary. The researcher should employ a co-integration analysis, such as the Engle-Granger method or Johansen test, to identify if there is a stable long-run relationship between Y and X. If co-integration is found, then an error correction model can be used for more accurate predictions.

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Answer:

102.222 square yards of light.

Step-by-step explanation:

From the above question, the yard had the dimensions 40 feet long and 23 feet wide.

Hence, the yard is rectangular in shape.

We have to find the area of the yard.

The formula is given as:

Area = Length × Width

= 40 feet × 23 feet

= 920 square feet

Converting to yards

1 square foot = 0.111 square yard

920 square feet = x

Cross Multiply

x = 920 × 0.111 square yard

x = 102.222 square yards.

Therefore, Robbert would need 102.222 square yards of light.

Answer:

9

Step-by-step explanation:

9

The function which represent the distance and time is y=6x-17.5.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Here according to the given data, let us take to points to find linear function then,

\((x_1,y_1)=(0.5,3)\) and \((x_2,y_2)=(1,6)\).

Now using slope formula, m = \(\frac{y_2-y_1}{x_2-x_1}\)

=> Slope m = \(\frac{6-3}{1-0.5} = \frac{3}{0.5}\) = 6

Now using equation formula , \(y-y_1=m(x-x_1)\) then,

=> y-0.5=6(x-3)

=> y-0.5=6x-18

=> y=6x-18+0.5

=> y=6x-17.5

Hence the function which represent the distance and time is y=6x-17.5.

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Answer:

This is not a statistical question

Step-by-step explanation:

A statistical question is a question the gathers varying data

By examining a scatterplot, you can gain valuable insights into the relationship between the two quantitative variables x and y, such as direction, strength, form, and outliers.

From examining a scatterplot of two quantitative variables x and y, you can observe the following features about the relationship between the variables:

1. Direction: You can determine whether the relationship between the variables is positive (both variables tend to increase or decrease together) or negative (one variable tends to increase while the other tends to decrease).

2. Strength: You can assess the strength of the relationship by observing how closely the data points are clustered around an imaginary line (e.g., a straight or curved line). A strong relationship has points closely clustered, while a weak relationship has points more scattered.

3. Form: You can identify the form of the relationship, such as linear (points form a straight line) or nonlinear (points form a curve).

4. Outliers: You can detect any outliers, which are data points that do not follow the general pattern of the relationship between the variables.

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Answer:

N=4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

-12x

ha

Step-by-step explanation:

The expression 2x^3 x^2 2x can be simplified to 4x^6. Since this is a polynomial of degree 6, it does not have critical points, which are only present in functions that have derivatives. So, the function 2x^3 x^2 2x has a critical point at x = 0.

Critical points are points where the derivative of a function is equal to zero or undefined.
Yes, the function 2x^3 x^2 2x has critical points.
To find the critical points, we first need to find the derivative of the function with respect to x. The function is f(x) = 2x^3 * x^2 * 2x.
Step 1: Combine like terms.
f(x) = 4x^6
Step 2: Calculate the derivative.
f'(x) = 24x^5
Step 3: Set the derivative equal to zero and solve for x.
24x^5 = 0
Step 4: Solve for x.
x = 0
So, the function 2x^3 x^2 2x has a critical point at x = 0.

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Answer:

no...

8s -32 is the distributive property

Step-by-step explanation:

x-3=0  D. 6=2x  F. x²=9 are the values of linear equation.

What is a linear equation in mathematics?

A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables. A linear equation is an equation that raises the variable to the first power. ax+b = 0 is an example of a 1 variable. x is a variable and a and b are real numbers.  

Substitute x=3 into each equation

A. x-3=0   3-3 =0   0=0  x=3 is a solution

B. 1+ x=2  1+3 =2  4=2  false

C. 9-x=3 9-3 =3  6=3  false

D. 6=2x  6 = 2*3   6=6  x=3 is a solution

E. 15x=3   15*3 =3  45=3  false

F. x²=9  3² = 9   9=9  x=3 is a solution

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The complete question is -

Select all the equations where x=3 is a solution. A. x-3=0 B. 1+ x=2 C. 9-x=3 D. 6=2x E. 15x=3 F. x²=9

The height of the cone that has a volume of 100 cubic inches is calculated to the nearest tenth as: h ≈ 6.0 in.

To find the height of the cone, recall he formula for finding the volume of a cone which is expressed as:

Volume (V) = 1/3πr²h

Given the following:

Volume = 100 in.³

Radius (r) = 8/2 = 4 in.

Plug in the values:

100 = 1/3 * 3.14 * 4² * h

100 = 16.7 * h

Divide both sides by 16.7

100/16.7 = h [Division property of equality][

h ≈ 6.0 in.

The height is approximately 6.0 inches.

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The solution of equation is x=-3

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given

The equation;√x+3=-6

Now,

√x=-6-3

√x=-9

x=-3

Therefore the answer of the given equation will be -3

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if other factors are held constant, what is the effect of increasing the sample variance: B. it will increase the estimated standard error and decrease the likelihood of rejecting h0.

In Mathematics, a sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mathematically, the standard error of a sample proportion can be calculated by using this formula:

Standard error = √(p × (1 - p)/n)

Where:

Generally speaking, the effect of increasing the sample variance is an increase in estimated standard error and a decrease in the likelihood of rejecting H_{0} provided that other factors are held constant.

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Answer:

PLZ MARK BRAINLIEST

Step-by-step explanation:

5. Distribute 10 (x - 1 )

10x - 10 = 10x -10

6. -7 (1+4x)

-7 ( 4x +1)

= -28x -7

7.  7 (-v-7)

  =  - 7v - 49

8. 7 ( 2 - x )

    7 (- x + 2 )

= - 7 x + 14

9. 4 ( - 7 - x )

    4 ( - x - 7)

= -4 x -28

10.  5 ( k - 5 )

      5k - 25

=  5k - 25