An average newspaper contains at least 9 pages and at most 46 pages. How many newspapers must be collected to be certain that at least two newspapers have the same number of pages?

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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we can take the square root of both sides to solve for v: v = ±\(\sqrt[2]{v^{2} }\)Therefore, the solutions for v are v = +|v| and v = -|v|.

An equation is a mathematical statement that two expressions are equal. It usually contains variables, which are symbols representing unknown values, and coefficients, which are numerical or constant values. The goal of an equation is to find the value(s) of the variable(s) that make the equation true. Equations can be written in various forms, such as linear, quadratic, polynomial, exponential, or trigonometric equations.

Given by the question.

I assume you meant to write the equation as follows:

5\(v^{2}\) - 3\(v^{2}\)= 2\(v^{2}\)

To solve for v, we can simplify the equation by combining the like terms on the left-hand side:

2\(v^{2}\)=2*v*v

Now we can divide both sides by 2:

\(2v^{2}\)=v*v=\(v^{2}\)

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Answer:

To solve a geometric shape, you need to know its properties such as the number of sides, angles, and other measurements that are relevant to the particular shape. Here are some steps to solve a geometric shape:

1. Identify the shape: Determine the name of the shape, such as a square, circle, triangle, or rectangle.

2. Determine the properties: Find out the properties of the shape based on its name. For example, a square has four equal sides and four right angles.

3. Measure the dimensions: Measure the dimensions of the shape such as the length of the sides, the diameter, or the radius.

4. Use formulas: Use the appropriate formulas to calculate missing measurements such as the area or perimeter of the shape.

5. Check your work: Finally, check your work to ensure that all calculations and measurements are correct.

Remember that the solution to a geometric shape problem will depend on the specific properties and measurements of that shape.

Answer:

253 divided by 4 is 63.25.

Here's the work:

```

4) 253.00

   24

  ---

    13

    12

   ---

     13

     12

    ---

      1

```

Therefore, the answer is 63.25.

The measure of angle A'B'C' in the resulting figure is approximately 142.6 degrees.

The reflection of a point (x, y) across the y-axis is (-x, y). Applying this transformation to the coordinates of A, B, and C, we get:

A' (-2, 1)

B' (-6, 1)

C' (-6, 4)

The rotation of a point (x, y) by 180 degrees counter clockwise is (-x, -y). Applying this transformation to the coordinates of A', B', and C', we get:

A'' (2, -1)

B'' (6, -1)

C'' (6, -4)

Next, we can use the law of cosines to find the measure of angle B:

A'B'C' = 180 - arccos(-7/24)

≈ 142.6 degrees

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The interval notation for the inequality statement "5 less than m is at most 70" is (-∞, 75].

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

The statement given is - 5 less than m is at most 70.

The given sentence can be translated into a mathematical inequality as -

m - 5 ≤ 70

To solve for m, we can add 5 to both sides of the inequality -

m - 5 + 5 ≤ 70 + 5

m ≤ 75

Therefore, m is less than or equal to 75.

In interval notation, we can represent this solution as -

(-∞, 75]

Therefore, the interval value is (-∞, 75].

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Answer:

The answer for  4+2×3²-9​ is 13

Step-by-step explanation:

4+2×3²-9​=13

Answer:

4+2×3-9 i think forgot

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

\(3 {x}^{2} + 11x - 4\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\((3x - 1)(x + 4) \\ \\ = 3x(x + 4) - 1(x + 4) \\ \\ = 3 {x}^{2} + 12x - x - 4 \\ \\ = 3 {x}^{2} + 11x - 4\)

\(\bold{ \green{ \star{ \orange{Mystique35}}}}⋆\)

Answer:

27 gallons

Step-by-step explanation:

A rectangular room is a rectangular prism. The floor and ceiling are the bases. The walls are the lateral faces. The lateral are of a rectangular prism is the product of the perimeter of the base and the height of the prism.

lateral area = Ph

lateral area = 2(10 ft + 18 ft) × 8 ft

lateral area = 448 ft²

area of walls = 448 ft²

area of three coats = 3 × 448 ft² = 1,344 ft²

area covered by 1 gallon of paint = 50 ft²

number of gallons of paint needed = 1344 ft² / 50 ft² = 26.88

Answer: 27 gallons

Answer:

Step-by-step explanation:

b. horizontallyRequired elements of the hyperbola:Center: (3, 2)Transverse axis length: 2a = 6, so a = 3Conjugate axis length: 2b = 8, so b = 4Vertices: (3 ± a, 2) = (0, 2) and (6, 2)Foci: (3 ± c, 2), where c = sqrt(a^2 + b^2) = 5, so the foci are (8, 2) and (-2, 2)Asymptotes: y - 2 = ±(b/a)(x - 3), which simplifies to y = (4/3)(x - 3) + 2 and y = -(4/3)(x - 3) + 2Eccentricity: c/a = 5/3Since the term with x comes first, the hyperbola opens horizontally.

Answer:

\(\bold{10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}}\)

Step-by-step explanation:

To find:

Simplified product of:

\((\sqrt{10x^4}-x\sqrt{5x^2})(2\sqrt{15x^4}+\sqrt{3x^3})\)

Solution:

First of all, let us have a look at some of the formula:

1. \((a+b) (c+d) = ac+bc+ad+bd\)

2. \(a^b\times a^c =a^{b+c }\)

3. \(\sqrt{a^{2b}} = \sqrt{a^b.a^b}=a^b\)

4. \(\sqrt a \times \sqrt b = \sqrt{a\times b}\)

Now, let us apply the above formula to solve the given expression.

\((\sqrt{10x^4}-x\sqrt{5x^2})(2\sqrt{15x^4}+\sqrt{3x^3})\\\\\Rightarrow(\sqrt{10x^4})(2\sqrt{15x^4})+(\sqrt{10x^4})(\sqrt{3x^3})-(x\sqrt{5x^2})(2\sqrt{15x^4})-(x\sqrt{5x^2})(\sqrt{3x^3})\\\\\Rightarrow2\sqrt{150x^8}+\sqrt{30x^7}-2x\sqrt{75x^6}-x\sqrt{15x^5}\\\\\Rightarrow\bold{10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}}\)

The answer is:

\(\bold{10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}}\)

Answer:

Its D

Step-by-step explanation:

Answer: y=1.25

Step-by-step explanation:

First things first you have to find what is in the bracket things (i don’t know what it’s called) So 3 - 7 is -4y but since it’s absolute it’s going to be 4y.

So now you’ve got 4y - 10 = -5. Your going to want to eliminate 10 so, subtract 10 to both sides giving you 4y = -5

Lastly to get y by itself you need to divide it by its self so, 4y divided by 4. Do it to both sides. This gives you…

Y = 1.25

Answer:

8, the absolute value of -5 is 5 and 3 is 3. 5+3=8, 8 is your answer

Answer:

The answer is 8

Step-by-step explanation:

The "l l" signs mean "absolute value" which means the distance the number is from zero on a number line. This means that the absolute value of a number will always be a positive number.

l-5l + l3l = 5 + 3

5 + 3 = 8

Hope this was helpful, have a great rest of your day! :)

Answer:

Step-by-step explanation:

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The Distance will be  5.

The distance between two points is the length of the line segment connecting the two points on the plane. The formula for finding the distance between two points is usually d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on the coordinate or x-y plane.

Let point (7,5) be A and point (4,9) be B

Distance formula =

Ab  = √(x1- x2) ² + (y1 -y2) ²

Then Distance AB will be

Ab  = √(7-4) ² + (5 -9) ²

= √ 3² + 4²

= √ 9 + 16

= 5

Hence the distance  will be 5.

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The points \((7,5)\)  \((4,9)\) are separated by a distance of \(5\) units.

The distance between the two points is given by the length of the segment between them.

The Distance Formula is a helpful tool for figuring out how far apart two points are when they are arbitrarily represented on a coordinate plane as points A\((x_{1},y_{1})\) and B\((x_{2},y_{2})\).

The Pythagorean Theorem is essentially the source of the Distance Formula. Calculating the right triangle's hypotenuse's length is the fundamental purpose of the distance formula.

Use the distance formula to get the distance between two places.

\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)

In the posted query,

\((x_{1},y_{1})=(7,5)\\\\(x_{2},y_{2})=(4,9)\)

Distance formula,

\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)

\(d = \sqrt{ (4-7)^{2} +(9-5)^{2} }\)

\(d = \sqrt{ (-3)^{2} +(4)^{2} }\)

\(d = \sqrt{ 9+16 }\)

\(d = \sqrt{ 25 }\)

\(d = 5\)

Therefore, the points \((7,5)\)  \((4,9)\) are at a distance of \(5\) units.

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Probability that exactly 10 flights arrive on time is 53.33%.

Given that,

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.

Recently, Southwest Air had the best rate with 80% of its flights arriving on time.

Total number flights in sample = 15

Probability that exactly 10 flights arrive on time is,

P = 10/15 × 80%

  = 0.5333

  = 53.33%

Hence the required probability is 53.33%.

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Step 1: Name the equation

12y = 28x + 60 ....... equation 1

9y = 21x + 45 ........... equation 2

Step 2: Eliminate one of the variables (either x or y ) in the two equations

To do this,

(12y = 28x + 60) multiply by 9

=> 108y = 252x + 540 ........ equation 3

(9y = 21x + 45 ) multiply by 12

=> 108y =252x + 540....... equation 4

step 4

equate equations 3 and 4

252x + 540 = 252x + 540

step 5 :solve the equation

252 x -252x = 540

0 = 0

Hence, the Equations has no solution

option A i

The volume V(x) in cubic inches of the open-top box is (15\(x^{2}\) - 2\(x^{3}\))

and side of length x in inches of the square cutouts is

V(1) = 15 - 2 = 13

x ∠ 7.5

The vertical sides were 15 inches before we cut out the corners.  

The horizontal sides were 15 inches before we cut out the corners.

So now, if you fold all of the "tabs" up, you get a box that has a height of "x".  

The sides are now each missing a length of "x" from each end.  

So the longer edges of the box are now (15 - 2x) long.  

The shorter edges of the box are now (15 - 2x)

The volume of a box is given by V = (length)(width)(height)

 length = 15 - 2x

width and height of the box are equal to x in so

Multiply these together and get:

V(x) = (15 - 2x)(x)(x)

V (x)  =  (15\(x^{2}\) - 2\(x^{3}\))

let x = 1

V (x) =  (15\(x^{2}\) - 2\(x^{3}\))

V(1) = 15 - 2 = 13

First x must be greater than 0,

then, we have 2x ∠ 15

                          x ∠ 7.5

therefore, The volume V(x) in cubic inches of the open-top box is (15\(x^{2}\) - 2\(x^{3}\))

side of length x in inches of the square cutouts is

V(1) = 15 - 2 = 13

x ∠ 7.5

This unit has two parts:

The surface area of a box, and its volume

The length of the diagonal of a box

Each student should bring an empty cereal box (or some other box) to work on. (The length, width, and height of the box should all be different.)

Formula for the area of the surface

(a) If l, w, and h are the length, width, and height of a box, its surface area is given by surface area = 2*(l*w + l*h + w*h). (Do you see it?)

(b) Measurements

Measurements are made in inches and sixteenths of an inch, but they are recorded as decimals.

1/8 inch = .125 inch, ¼ inch = .25 inch, 3/8 inch = .375 inch, ½ inch = .5 inch, and so on.

Example:

length l = 8.375 inches

width w = 6.125 inches

height = 2.25 inches

(c) How to enter these measurements into a TI-108 calculator to get the surface area:

8.375*6.125 M+       51.29…

8.375*2.25 M+         18.84…

6.125*2.25 M+         13.78…

MRC * 2 =                167.84… square inches

We round this to 168 square inches (more or less)

Part 1b. We can also find the volume of the box:

volume = l*w*h = 8.375*6.125*2.25 = 115.4… cubic inches

If this were a hands-on unit, we would paper the box with square inch paper and fill the box with cubic inch blocks to see whether our computations are confirmed.

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Answer: lol she was lowkey trying to call out the lady in front of you without directly addressing her. Or she was just trying to mess with you cuz that's how moms are

Step-by-step explanation:

The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

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Graph of the new triangle is attached.

Dilation is a process of changing the size of an object or shape by decreasing or increasing its dimensions by some scaling factors. For Example: A circle with radius 10 unit is reduced to a circle of radius 5 unit.

Given, triangle whose vertices are

(0,0), (3,3), and (3,-1)

If the scale factor is 3, then every coordinate point of the original triangle is multiplied by the scale factor 3.

Vertices of triangle after dilation with scale factor of 3:

(0,0), (9,9) and (9,-3)

Hence, the new coordinates for the triangle after dilation are

(0,0), (9,9) and (9,-3).

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Answer:

Step-by-step explanation: Yes, that is correct. The solution to the system of equations is (x, y) = (-7, 0) which is not in the given options, so none of them are the correct answer.

Answer:

420 mL

Step-by-step explanation:

Given that:

Recipe requirement = 14 fluid ounces of milk

1 fluid ounce = 30 mL

Number of mL the recipe requires =?

Since recipe requires 14 fluid ounce

Then, number of mL will be :

Recipe requirement * Number of mL per fluid ounce

14 * 30mL = 420mL

Hence, recipe requires 420 mL of milk

Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

We have ,

Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.

The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.

Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.

Hence, Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

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complete question:

A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?

b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?

d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?

e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?

f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?

g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?

The equation of the line is x + 3y = 6

The line equation is represented as:

ax + by = c

Where:

x-intercept = 6 i.e. (6, 0)

y-intercept = 2 i.e. (0, 2)

Calculate the slope (m) as follows

m = (2 - 0)/(0 - 6)

This gives

m = -1/3

The linear equation is represented as:

y =mx + c

So, we have

y = -1/3x + c

y-intercept = 2 i.e. (0, 2) implies that

y = -1/3x + 2

Multiply through by 3

3y = -x + 6

Rewrite as:

x + 3y = 6

Hence, the equation of the line is x + 3y = 6

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Answer:(2, -5)

Step-by-step explanation:

\(\\ \sf\longmapsto AP:PB\)

\(\\ \sf\longmapsto AP:AB\)