A firm produces 125 units of a good. Its variable costs are 400 dollar, and its total costs are 700 dollar Answer the following questions:
a. What do the firm's fixed costs equal?
b. What is the average total cost equal to?
c. If variable costs were 385 dollar when 124 units were produced, then what was the total cost equal to at 124 units?

The weightage is given to the most recent values in the time series.

SES is a simple forecasting technique that is easy to implement and can be used with data that has a consistent trend. However, it is not well suited for data that is highly volatile or has a lot of noise.

One of the simplest forecasting techniques is single exponential smoothing (SES). It is a weighted average of past time-series values, where the weightage is given to the most recent values in the time series. This technique is easy to implement and can be used with data that has a consistent trend. However, it is not well suited for data that is highly volatile or has a lot of noise.

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3 a. The function w satisfies the equation (ex+2y)wy​−2xwx​=0.

3 b. The value of wxy​ is -2x(ex+2y)cos(ex+2xy) - 2ysin(ex+2xy)

4 . The material derivative of fatP is 0.

3. (a) To verify that the function w satisfies the equation (ex+2y)wy​−2xwx​=0, we can take the partial derivatives of w with respect to x and y, and then substitute them into the equation.

First, let's find the partial derivatives of w:

∂w/∂x = f'(ex+2xy)(ex+2y)
∂w/∂y = f'(ex+2xy)(2x)

Now, we can substitute these partial derivatives into the equation:

(ex+2y)(f'(ex+2xy)(2x)) - 2x(f'(ex+2xy)(ex+2y)) = 0

Simplifying this equation, we get:

2exf'(ex+2xy) + 4xyf'(ex+2xy) - 2exf'(ex+2xy) - 4xyf'(ex+2xy) = 0

This simplifies to 0 = 0, which is true. Therefore, the function w satisfies the equation (ex+2y)wy​−2xwx​=0.

(b) If f(u) = cosu, then we can find wxy​ by taking the partial derivative of w with respect to x and y, and then substituting f(u) = cosu:

∂w/∂x = f'(ex+2xy)(ex+2y) = -sin(ex+2xy)(ex+2y)
∂w/∂y = f'(ex+2xy)(2x) = -sin(ex+2xy)(2x)

Now, we can find wxy​ by taking the partial derivative of ∂w/∂x with respect to y:

wxy​ = ∂(∂w/∂x)/∂y = ∂(-sin(ex+2xy)(ex+2y))/∂y = -2x(ex+2y)cos(ex+2xy) - 2ysin(ex+2xy)

4. To find the material derivative of fatP, we can use the formula:

Df/Dt = ∂f/∂t + ∂f/∂x(dx/dt) + ∂f/∂y(dy/dt) + ∂f/∂z(dz/dt)

First, let's find the partial derivatives of f:

∂f/∂t = ysinx + ez
∂f/∂x = ty*cosx
∂f/∂y = tsinx
∂f/∂z = tez

Now, we can find the material derivative of fatP by substituting the point P = (π,1,0) and the derivatives of x, y, and z with respect to t:

Df/Dt = (1*sinπ + e^0) + (π*1*cosπ)(dx/dt) + (π*sinπ)(dy/dt) + (π*e^0)(dz/dt) = 0 + 0 + 0 + 0 = 0

Therefore, the material derivative of fatP is 0.

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Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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Answer:

8x + 3x=11x

Explain:

Every time you see the word sum, you add

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

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Answer:

30 plus 20 is 50

30 minus 20 is 10

Answer: 144²

Step-by-step explanation:

A square has the same length on each side, or else it wouldn't be a square, so to find the area you multiply the Length (12) by the width (12) to get 144 in²

In situation a, the predictor variable is age, as it is being tested to see if it affects the outcome variable, which is the number of risky behaviors. So, age is the independent variable and the number of risky behaviors is the dependent variable.

In situation b, the predictor variable is the number of family members, as it is being tested to see if it affects the outcome variable, which is the level of education of children. So, the number of family members is the independent variable and the level of education of children is the dependent variable.

It is important to identify the predictor variable and the outcome variable in any study as this helps in understanding the relationship between the two variables and in interpreting the results accurately.

For situation A, the predictor variable is "age," and the outcome variable is "number of risky behaviors." As age increases, the study aims to see if the number of risky behaviors changes.

For situation B, the predictor variable is "number of family members," and the outcome variable is "level of education of children." The study examines whether the children's level of education changes based on the number of family members.

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The interest rate earned in 3 years if compounded annually to the nearest cent is $9,944.74

Principal = $7,247

Time = 3 years

Interest rate = 11 1/8%

= 11.125%

r = 11.125/100

r = 0.11125 rate per year,

A = P(1 + r/n)^(nt)

A = 7,247.00(1 + 0.11125/1)^(1)(3)

A = 7,247.00(1 + 0.11125)^(3)

A = $9,944.74

In conclusion, $9,944.74 is the interest rate earned.

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Answer:

The side s has a length of 4 and side q has a length of 4\(\sqrt{3}\) ⇒ F

Step-by-step explanation:

In the 30°-60°-90° triangle, there is a ratio between its sides

side opp (30°) : side opp (60°) : hypotenuse

       1               :         \(\sqrt{3}\)            :        2

In the given triangle

∵ The side opposite to 30° is s

∵ The side opposite to 60° is q

∵ The hypotenuse is 8

→ Use the ratio above to find the lengths of s and q

side opp (30°) : side opp (60°) : hypotenuse

       1               :         \(\sqrt{3}\)            :        2

       s               :          q             :        8

→ By using cross multiplication

∵ s × 2 = 1 × 8

∴ 2s = 8

→ Divide both sides by 2

∴ s = 4

∴ The length of s is 4

∵ q × 2 = \(\sqrt{3}\) × 8

∴ 2q = 8\(\sqrt{3}\)

→ Divide both sides by 2

∴ q = 4\(\sqrt{3}\)

∴ The length of q is 4\(\sqrt{3}\)

An estimate for the mean age of the 50 people on the bus is 34 years.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Let us calculate the sum of the products of the midpoints and their respective frequencies, and divide by the total frequency to obtain the estimated mean age.

The midpoint and frequency data for each age group can be represented as follows:

Age group      Midpoint        Frequency

0 < h ≤ 20           10                    20

20 < h ≤ 40         30                    10

40 < h ≤ 60         50                     10

60 < h ≤ 80         70                     10

To calculate the estimated mean age, we can use the formula:

Estimated mean age = (Σ(midpoint × frequency)) / total frequency

Estimated mean age = ((10 × 20) + (30 × 10) + (50 × 10) + (70 × 10)) / (20 + 10 + 10 + 10)

Estimated mean age = (200 + 300 + 500 + 700) / 50

= 1700 / 50

= 34

Therefore, an estimate for the mean age of the 50 people on the bus is 34 years.

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In the given study comparing the effects of regular-fat cheese to reduced-fat cheese on LDL cholesterol levels, the dependent variable(s) refers to the outcome(s) that are being measured or observed. In this case, the dependent variable in this study is: b. LDL levels

The dependent variable is the variable that is measured or observed to assess the effect of the independent variable(s). In this case, the study is comparing the effects of regular-fat cheese and reduced-fat cheese on LDL cholesterol levels.

LDL cholesterol levels are the outcome being measured to determine the impact of the different types of cheese on cholesterol. Therefore, option b, LDL levels, is the dependent variable in this study. Options a (regular fat cheese) and c (reduced fat cheese) are not the dependent variables but rather the independent variables, as they are the different conditions being compared to assess their effect on LDL levels.

Option d (both a and b) and option e (both b and c) are incorrect because regular-fat cheese (option a) is an independent variable, not a dependent variable.

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Answer:

D. g(x) = 2x + 3 – 2

Step-by-step explanation:

I did the assignment on E.D.G.E.N.U.I.T.Y and got it right.

Thank me by leaving a thanks, rating 5 stars, and adding as brainliest :)

Have a nice day!

Answer:

d

Step-by-step explanation:

edge 2021

To make an equation for Mateo's money, let's assign variables to the number of loonies and toonies he has. So, the equation is 1x + 2y = 32

Let's say Mateo has x loonies and y toonies. Since each loonie is worth $1 and each toonie is worth $2, we can write the equation: 1x + 2y = 32

In this equation, 1x represents the value of the loonies (x loonies * $1/loonie) and 2y represents the value of the toonies (y toonies * $2/toonie). The sum of these values should equal $32. Now, Mateo can solve this equation to find the values of x and y that satisfy it.

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The height of the building is 71 meters.

We can solve this problem using the similar triangles. The height of the building can be determined by setting up the following proportion:

(the height of pole) / (length of pole's shadow) = (height of building) / (length of building's shadow)

Substituting the given values:

2.8 / 1.49 = (height of building) / 37.5

To find the height of the building, we can cross-multiply and solve for it:

(2.8 * 37.5) / 1.49 = height of building

Calculating the expression on the right side:

(2.8 * 37.5) / 1.49 ≈ 70.7013

Rounding to the nearest meter, the height of the building is approximately 71 meters.

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Ms. Wilson purchased 6 more glue sticks than Mr. Davis.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

Let's define:

A = number of glue sticks in package A (18)

B = number of glue sticks in package B (12)

p = number of packages purchased

Then, the equations for the total number of glue sticks are:

Package A: g = 18p

Package B: g = 12p

Mr. Davis buys 5 packages of the Package A glue sticks, so he purchased:

g = 18 x 5 = 90 glue sticks

Ms. Wilson buys 8 packages of the Package B glue sticks, so she purchased:

g = 12 x 8 = 96 glue sticks

The difference in the total number of glue sticks that each person purchased is:

96 - 90 = 6 glue sticks.

Therefore, Ms. Wilson purchased 6 more glue sticks than Mr. Davis.

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Answer:

d. (-3,-1)

Step-by-step explanation:

The expression that is equivalent to the product is 8/3(x -5). Option D

From the information given, we have the expression as;

2x + 14/x² - 25 × 8x + 40/6x + 42

First, we have to simply the numerators and denominators, we have;

2(x + 7)/(x - 5)(x + 5) × 8(x + 5)/6(x+ 7)

Now, divide the common numerators and denominators, we get;

2/x -5 × 8/6

Multiply the values and expand the bracket, we have;

16/6(x - 5)

simply the fraction, we get;

8/3(x -5)

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To make parallelogram WXYZ a square, the following conditions must be met:

1. All four sides of the parallelogram must have equal length.

2. The angles between adjacent sides must be 90 degrees.

Since a square is a special type of parallelogram with all sides equal and all angles equal to 90 degrees, we can determine the value of m that would make WXYZ a square by ensuring that these conditions are met. To find the value of m, we need more information about the dimensions or properties of the parallelogram WXYZ. Please provide additional details or measurements related to the parallelogram. The diagonals of a square are equal in length and bisect each other at 90-degree angles. The perimeter of a square is the sum of all four sides, and the area of a square is calculated by squaring the length of one side.In order for parallelogram WXYZ to be a square, it must have congruent sides and right angles at each vertex.

Since opposite sides of a parallelogram are congruent, we can equate the lengths of adjacent sides to find the value of m that would make it a square.

Let's assume that WX and XY are adjacent sides of the parallelogram.

If WX = XY, then the parallelogram would have congruent sides.

Let's say WX = m and XY = m.

To form a square, the angles at each vertex must be right angles. This means that WX and XY must be perpendicular to each other.

In a square, opposite sides are parallel, so the slopes of WX and XY must be negative reciprocals of each other.

The slope of WX can be represented as (change in y) / (change in x). Since it is perpendicular to XY, its slope will be the negative reciprocal of the slope of XY.

Let's assume the slope of XY is denoted as a. Then the slope of WX would be -1/a.

We can now equate the slopes of WX and XY:

-1/a = (change in y) / (change in x)

Simplifying this equation, we get:

a = -1

Therefore, the slope of XY is -1.

Now, we can equate the lengths of WX and XY:

m = m

Since WX = XY and both sides have length m, we can say that m = m.

So, any value of m would make parallelogram WXYZ a square as long as the sides WX and XY are congruent and perpendicular to each other, with a slope of -1.

hence, the value of m = -1.

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Answer:

because it will bounce high and hit something.

Step-by-step explanation:

Answer:

8 - 5x

Step-by-step explanation:

Let the number be 'x'

Product of 5 and 'x' = 5*x = 5x

8 - 5x

Answer:

The graph of g(x) is shifted up 2 units.

Answer:

70

Step-by-step explanation:

\(a_1\) = First term = \(\dfrac{1}{3}\)

\(d\) = Common difference = \(\dfrac{2}{3}-\dfrac{1}{3}=\dfrac{1}{3}\)

\(n\) = Number of terms = 20

Sum of arithmetic progression is given by

\(S=\dfrac{n}{2}[2a_1+(n-1)d]\\\Rightarrow S=\dfrac{20}{2}\times (2\times \dfrac{1}{3}+(20-1)\dfrac{1}{3})\\\Rightarrow S=70\)

The sum of the first 20 terms of the arithmetic sequence is 70.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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Answer:

It will be 180 because 2/5 of means 2 in 5 then in ,450 you need to know 2/5 of 450 which gives you 180

If h(x) = 6 5f(x) , where f(5) = 6 and f '(5) = 4, then h'(5). h'(5) =20

To find h'(5) given h(x) = 6 + 5f(x), f(5) = 6, and f'(5) = 4, follow these steps:

1. Differentiate h(x) with respect to x: h'(x) = 0 + 5f'(x) (since the derivative of a constant is 0, and we use the chain rule for the second term).

2. Now, h'(x) = 5f'(x).

3. Plug in the given values: h'(5) = 5f'(5).

4. Since f'(5) = 4, substitute this value: h'(5) = 5 * 4.

5. Compute the result: h'(5) = 20.

So, h'(5) = 20.

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We know that 1000m = 1 km

37.5 km ^2 * 1000 m 1000m

------------ * ---------

1 km 1 km

The km will cancel

37.5 * 1000m * 1000m = 37500000 m^2

Step-by-step explanation:

9) volum = width× lenght × height

= 2×3×7 = 42 m³

10) = 7³ = 343 cm³

Answer:

Question 9: Volume = 42m

Question 10: Volume = 343cm

Step-by-step explanation:

Volume for a rectangular prism: V = length x height x width

Question 9:

Length = 7m

Width = 2m

Height = 3m

V = (7m) x (2m) x (3m)

V = 14m x 3m

Volume for a cube: V = a^3 → this is the formula since all sides are the same length

Question 10:

Length = 7cm

Width = 7cm

Height = 7cm

V = (7cm) x (7cm) x (7cm)

V = 49cm x 7cm

V = 343

OR

V = a^3 → (7)^3