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The eiffiel tower will be 32.49 times larger than the drawing because the drawing wil be about 2.7 inches if each inch represents 400 ft since the eifell tower is about 1083 feet.

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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Answer:

27

Step-by-step explanation:

Answer:

18Πin3

Step-by-step explanation:

answer:

131.88 inches

step-by-step explanation:

2πr = circumference

2(21)(3.14)

= 131.88

Given

Triangle ABD and DEF

Find

Scale factor

Explanation

in triangle ABC , the length of AC is 6 units.

let x be the scale factor

this side is transformed into side DF

the lendth of DF is 3 units.

since AC is transformed into DF

so ,

6x = 3

x = 1/2

A(-8 , 2) and D (2 , 0)

Final Answer

Hence , the scale factor is 1/2 , dilated across the y - axis

so , the correct option is B ,

Answer:

(x, y) --> (1/2x, 1/2y)

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

13 rides

First, deduct the price of the admission to the park from the $80.

$80.00 - $8.50 = $71.50

This is the amount she has left over to spend on rides.

Now, divide that amount by using the cost of the rides.

$71.50 ÷ $5.50 = 13 rides

This is the amount of rides she will be able to go on.

Answer: The Answer would be 13 rides

Step-by-step explanation:

First you need to subtract the $8.50 from the $80 which would be $71.5, then you'll have to divide the $5.50 from the $71.5 which you should end up with 13

The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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Therefore, the surface area of the rectangular prism is 280 square meters.

Area is a measure of the size of a two-dimensional region or surface, typically expressed in square units. It is the amount of space inside a closed shape or figure, and is calculated by multiplying the length and width of the shape or by using a formula specific to the shape. For example, the area of a rectangle can be found by multiplying its length and width, while the area of a circle can be found by multiplying pi (3.14) by the square of its radius. Area is commonly used in mathematics, science, engineering, and other fields to calculate quantities such as surface area, volume, and density.

Here,

The rectangular prism has 6 faces, and each face is a rectangle. To find the surface area, we need to find the area of each rectangle and add them up. The net shows that the dimensions of the prism are:

length = 10 m

width = 6 m

height = 5 m

The area of the top and bottom faces (which are congruent) is:

A = length × width

= 10 m × 6 m

= 60 m²

The area of the front and back faces (which are congruent) is:

A = length × height

= 10 m × 5 m

= 50 m²

The area of the two side faces (which are congruent) is:

A = width × height

= 6 m × 5 m

= 30 m²

To find the surface area, we add up the areas of all six faces:

Surface Area = 2 × (top and bottom faces) + 2 × (front and back faces) + 2 × (side faces)

Surface Area = 2(60 m²) + 2(50 m²) + 2(30 m²)

Surface Area = 120 m² + 100 m² + 60 m²

Surface Area = 280 m²

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Answer:

a. What are the units of measurement of the variable of​ interest?

C. Dollars

Based on the​ units, what type of data is​ this, quantitative or​ qualitative?

The data is quantitative

b. What can be said about the number of measurements between ​$1,400 and ​$2,600​?

That at least 3/4 or 75% of the measurements are between ​$1,400 and ​$2,600.

c. What can be said about the number of measurements between ​$1,100 and ​$2,900​?

That at least 8/9 of the measurements are between ​$1,100 and ​$2,900

Step-by-step explanation:

a. What are the units of measurement of the variable of​ interest?

C. Dollars

Based on the​ units, what type of data is​ this, quantitative or​ qualitative?

Since the units is in dollars, therefore the data is quantitative.

b) We solve this question using Chebyshev's theorem.

Chebyshev's theorem states that:

1) At least 3/4 of the data lies within two standard deviations of the mean. This means, the interval endpoints :

Mean ± 2Standard deviation

2) At least 8/9 of the data lies within three standard deviations of the mean. This means, the interval endpoints :

Mean ± 3Standard deviation

For the given questions:

b. What can be said about the number of measurements between ​$1,400 and ​$2,600​?

Mean = $2000

Standard deviation = $300

We would apply the first rule of Chebyshev's theorem.

1) At least 3/4 of the data lies within two standard deviations of the mean. This means, the interval endpoints :

Mean ± 2Standard deviation

$2000 + 2($300)

$2000 + $600

= $2600

$2000 - 2($300)

= $2000 - $600

= $1400

For question b, the first rule of Chebyshev's theorem works.

Therefore, at least 3/4 of the measurements are between ​$1,400 and ​$2,600.

c. What can be said about the number of measurements between ​$1,100 and ​$2,900​?

Mean = $2000

Standard deviation = $300

We would apply the second rule of Chebyshev's theorem.

2) At least 8/9 of the data lies within two standard deviations of the mean. This means, the interval endpoints :

Mean ± 3Standard deviation

$2000 + 3($300)

$2000 + $900

= $2900

$2000 - 3($300)

= $2000 - $900

= $1100

For question c, the second rule of Chebyshev's theorem works.

Therefore, at least 8/9 of the measurements are between $1,100 and ​$2,900

Answer:

- 1/4x+1/3x=1

Step-by-step explanation:

Inequalities

Let's call c the number of cans of food.

The school wants to collect more than 2,000 cans in a food drive.

668 cans have been collected so far.

The number of cans needed to reach the goal is 2,000 - 668.

These cans will be collected in 7 days, thus:

7c > 2,000 - 668

Operating

7c > 1,332

Dividing by 7:

c > 1,332 / 7

c > 190.29

This is the average number of cans needed to collect each day.

The first choice is correct

The set (A U B) n (A U C) is {2, 5, 7, 10}. A.

To find the set (A U B) n (A U C), we first need to calculate the union of sets A and B, and then calculate the union of that result with set C. Finally, we find the intersection of these two sets.

Set A U B:

The union of sets A and B, denoted as A U B, is the combination of all elements from both sets without any repetitions.

A contains the elements 2, 5, 7, and 10, while B contains the elements 1, 2, and 3.

A U B consists of the elements {1, 2, 3, 5, 7, 10}.

Set (A U B) U C:

Next, we calculate the union of the set (A U B) with set C, denoted as (A U B) U C. A U B contains the elements {1, 2, 3, 5, 7, 10} and C contains the elements {1, 2, 3, 4, 5}.

Taking the union of these two sets results in {1, 2, 3, 4, 5, 7, 10}.

Finding the intersection:

Finally, we find the intersection of (A U B) U C with A U C. A U C consists of the elements {2, 5, 7, 10}.

The intersection of these two sets is the combination of common elements.

The common elements are {2, 5, 7, 10}.

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Perimeter of the parallelogram = 210 in.

Area of parallelogram = 2,484 in.²

Perimeter of parallelogram = 2(a + b), where a and b are its sides.

Area of parallelogram = (b)(h), where h is its height and b is the length of one of its bases.

Given:

a = 51 in.

b = 54 in.

h = 46 in.

Perimeter of the parallelogram = 2(54 + 51) = 210 in.

Area of parallelogram = (b)(h) = (54)(46) = 2,484 in.²

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Given

To find

we know that

Inserting the value of radius

The length of the side opposite to the reference angle is 7.77 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.

We know, sin = opposite/hypotenuse.

Therefore,

sin45° = x/11.

1/√2 = x/11.

x = 11/√2.

x = 7.77 units.

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Answer:

270m^2

Step-by-step explanation:

30m*18m/2 = 270m^2

Answer:

270

Step-by-step explanation:

Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

The expected value of the winnings from the game is $3.24.

To find the expected value of the winnings, we multiply each possible payout by its corresponding probability and sum them up.

Expected Value = (2 x 0.64) + (4 x 0.18) + (6 x 0.12) + (8 x 0.04) + (10 x 0.02)

Expected Value = 1.28 + 0.72 + 0.72 + 0.32 + 0.20

Expected Value = 3.24

Therefore, the expected value of the winnings from the game is $3.24.

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With a triangle, the sum of any two side lengths must be greater than the third side length. If this is not true, then the side lengths cannot make a triangle. Let's go through each set of side lengths and determine which would and wouldn't work.

a. 3, 4, 8 - will not make a triangle

3 + 4 = 7 > 8 = false

3 + 8 = 11 > 4 = true

4 + 8 = 12 > 3 = true

b. 7, 6, 12 - will make a triangle

7 + 6 = 13 > 12 = true

7 + 12 = 19 > 6 = true

6 + 12 = 18 > 7 = true

c. 5, 11, 13 - will make a triangle

5 + 11 = 16 > 13 = true

5 + 13 = 18 > 11 = true

11 + 13 = 24 > 5 = true

d. 4, 6, 12 - will not make a triangle

4 + 6 = 10 > 12 = false

4 + 12 = 16 > 6 = true

6 + 12 = 18 > 4 = true

e. 4, 6, 10 - will not make a triangle

4 + 6 = 10 > 10 = false

4 + 10 = 14 > 6 = true

6 + 10 = 16 > 4 = true

Hope this helps!

Step-by-step explanation:

T = 55 + 6w

after 8 week $103

Answer:

x=3, y=3√2

Step-by-step explanation:

This is a right isosceles triangle, so the sides of the main vertex are equal, so x=3

Using Pythagorean theorem:

y²=3²+3²=9+9=18

y=√18=3√2

Answer:

The number of apartment buildings in the sample was 9.

Step-by-step explanation:

The ANOVA table is as follows:

ANOVA

                     df        SS          MS         F        Significance F

Regression    1     41587.1      __        ___           ____

Residual        7      ___           __        ___          ____

Total              8    51984.8     __        ___           ____

The degrees of freedom of Total is, n - 1.

Compute the sample size as follows:

DF of total = n - 1

              8 = n - 1

              n = 9

Thus, the number of apartment buildings in the sample was 9.

There are 3150 distinct ways to arrange the marbles in a row.

What is Combination ?

In mathematics, combination is a way of selecting a group of objects from a larger set, without regard to the order in which the objects are selected. Combinations are also sometimes called "unordered selections" or "combinatorial subsets".

To solve this problem, we can use the formula for permutations with repetition. We have a total of 10 marbles, but some of them are repeated. Specifically, we have:

3 yellow marbles (repeated)

3 green marbles (repeated)

2 red marbles (repeated)

2 blue marbles (repeated)

So the number of distinct ways to arrange these marbles in a row is:

(10!) ÷ (3! x 3! x 2! x 2!)

The factorials in the denominator account for the repetition of each color. We divide by them to eliminate the overcounting that would occur if all the marbles were unique.

Simplifying this expression, we get:

(10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)÷(3 x 2 x 1 x 3 x 2 x 1 x 2 x 1 x 1 x 1)

which equals:

(10 x 9 x 8 x 7 x 6 x 5 x 4) ÷ (3 x 3 x 2 x 2)

Simplifying further, we get:

(10 x 3 x 3 x 3 x 2 x 2 x 7 x 5) ÷ (3 x 3 x 2 x 2)

which equals:

(10 x 3 x 3 x 7 x 5)

which finally equals:

3150

Therefore, there are 3150 distinct ways to arrange the marbles in a row.

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Answer:

(0, 7/3), (1, 2/3), (2, -1).

Step-by-step explanation:

Input 3 x coordinates into the equation and find the y. 0, 1, and 2 will do.

-5x - 3y = -7

Substitute variable.

-5(0) - 3y = -7

Remove the term multiplied by 0.

-3y = -7

Divide by -3.

y = -7/-3

-a/-b = a/b.

y = 7/3

This makes the coordinate (0, 7/3)

-5x - 3y = -7

Substitute variable.

-5(1) - 3y = -7

Multiply.

-5 - 3y = -7

Add 5 to both sides.

-3y = -2

Divide by -3.

y = -2/-3

-a/-b = a/b.

y = 2/3.

This makes the coordinate (1, 2/3)

-5x - 3y = -7

Substitute variable.

-5(2) - 3y = -7

Multiply.

-10 - 3y = -7

Add 10 to both sides.

-3y = 3

Divide by -3.

y = 3/-3

-a/a = -1.

y = -1.

This makes the coordinate (2, -1).

Answer:5^38

Step-by-step explanation:

5^23 x 5^15

5^(23+15)

5^38

Answer:

$12.95 + $0.03x

Step-by-step explanation:

You already have $12.95 now you have to add it by $.03 because that his have much they had to pay. Each month would be your variable.

Answer:

Step-by-step explanation:

step 1:

determining the values for standard form for the equation of a line,

y = mx + c

Step 2:

calculation of m, where m is the gradient or slope which determines how steep the line is.

step 3:

calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept