What value of x and y will make quadrilateral KLMN a parallelogram?
x + 3y
5y
2(x + y - 1)
H
11
and y =
20

Answer: B 102

Step-by-step explanation: The perpendicular sides of the room tells us that it is a right triangle.

To find our the area of the triangle you use the formula [tex]\frac{base*height}{2}[/tex]base*height/2

We plug in 12feet and 17 feet for the base and height

We get [tex]\frac{12*17}{2}[/tex]

12 and 2 cancel out so our new equation is 6*17 squared feet

So our answer is 102 square feet

The graph of the function f(x) = x³- 2x² - 4x + 8​  is added as an attachment

From the question, we have the following parameters that can be used in our computation:

f(x) = x³- 2x² - 4x + 8​

The above function is a polynomial function that has undergone for several transformations

Next, we plot the graph using a graphing tool by taking note of the transformations rules

The graph of the function is added as an attachment

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Answer:

please see answers below

Step-by-step explanation:

i) 5/8  X 320 = 200 people

ii) 0.75 X 200 = 150 (people in farming but also trade). only trade = 320 - 200 = 120.

number of people in trade = 150 + 120 = 270.

b) 0.75 X 5/8 = 3/4 X 5/8 = 15/32 = 150 people (both farm and trade).

c) only farming = 0.25 X 5/8 = 1/4 X 5/8 = 5/32 = 50.

only trade = 320 - 50 (only farm) - 150 (both farm and trade) = 120.

so, only do one activity = 50 + 120 = 170.

d) traders only = 120/320 = 3/8 = 37.5%

e) P(farmer only) = 50/320 = 0.15625

The minimum selling price on the special order to produce net income of 5.17 per basketball is $ 29.79 per ball.

Variable cost of goods sold for the special order = $ ( 3,582,000 - 960,000 ) / 120,000 * 10,000 = $ 218,500

Variable selling and administrative expenses for special order = $ [( 513,400 - 271,000) / 120,000 + 0.75] x 10,000 = $ 27,700

Fixed costs are not relevant, as they would remain unchanged.

c. Profit required = $ 5.17 x 10,000 = $ 51,700

Minimum selling price required = $ ( 51,700 + 218,500 + 27,700) / 10,000

= $ 29.79 per ball.

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ThreePoint Sports Inc. manufactures basketballs for the Women's National Basketball Association (WNBA). For the first 6 months of 2017, the company reported the following operating results while operating at 80% of plant capacity and producing 120,000 units.What is the minimum selling price on the special order to produce net income of 5.17 per basketball

Answer: 99 in²

Step-by-step explanation:

We can use the given formula for a triangular prism. We will substitute our known values and solve.

       Surface Area = length * base perimeter + (2 × base area)

       Surface Area = length * (1.5 in + 2 in + 2.5 in) + (2 × [tex]\frac{bh}{2}[/tex])

       Surface Area = 16 * (6 in) + (2 × [tex]\frac{(2\;in)(1.5\;in)}{2}[/tex])

       Surface Area = 16 in * (6 in) + (3 in²)

       Surface Area = 96 in² + 3 in²

       Surface Area = 99 in²

The exact value of expression sin 9π/4 is,

⇒ sin 9π/4 = 1 / √2

We have to given that;

Expression to find exact value is,

⇒ sin 9π/4

Now, WE can change it into degree as,

⇒ 9π/4

⇒ 9 × 180 / 4

⇒ 9 × 45

⇒ 405 degree

Hence, We get;

⇒ sin 9π/4

⇒ sin 405°

⇒ sin (360 + 45°)

⇒ sin 45°

⇒ 1 / √2

Thus, The exact value of expression sin 9π/4 is,

⇒ sin 9π/4 = 1 / √2

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Answer:

Try contacting the Help center located at the bottom part of the home page of this site. It is recoverable as long as no violation committed

Yes, children, students, and senior citizens being eligible for discounted movie tickets is an example of price discrimination.

When a merchant charges different rates to various groups of clients based on their willingness to pay, this is referred to as price discrimination.

Price discrimination requires market strength, definable client segmentation, and the capacity to avoid arbitrage among various groups.

Price discrimination is a sales approach in which the seller charges varying rates for the same product or service based on what the vendor believes the consumer would agree to.

See graph attached.

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The number of jackets Meera will sell if she behaves like a monopolist is 3( option B).

To determine the number of jackets Meera will sell if she behaves like a monopolist, we need to compare the marginal revenue (MR) and marginal cost (MC) of producing and selling additional jackets. Meera can sell jackets at various price points depending on the quantity sold, but as she behaves like a monopolist, we consider the revenue and costs associated with a given production level.

From the pricing information given, we can determine her total revenue function, R(x), as follows:

- For 1 jacket, R(1) = 40

- For 2 jackets, R(2) = 70

- For 3 jackets, R(3) = 90

- For 4 jackets, R(4) = 100

- For 5 jackets, R(5) = 100

To determine her marginal revenue function, MR(x), we find the change in revenue from selling an additional jacket. From the data given, we can see that MR is not constant and decreases as the quantity sold increases. Specifically:

- For 1 jacket, MR(1) = 40 - 0 = 40

- For 2 jackets, MR(2) = 35 - 40 = -5

- For 3 jackets, MR(3) = 30 - 35 = -5

- For 4 jackets, MR(4) = 25 - 30 = -5

- For 5 jackets, MR(5) = 20 - 25 = -5

Meera's marginal cost of production is given as a constant $20 for each additional jacket produced, so MC(x) = 20 for all values of x.

To maximize her profits, Meera should produce and sell jackets up to the point where MR(x) = MC(x), which represents the level of production that equates the revenue from selling an additional jacket with the cost of producing that jacket. This happens at the output level of 3, where MR(3) = -5 = MC(3) = 20.(option-b)

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The slope of the line that passes through given points is -0.87. Option B is the correct answer.

In mathematics, slope is usually defined by the letter "m" and includes the change in y coordinate (vertical change) divided by the change in x coordinate (horizontal shift) between two points on a line.

We know that slope of a line that passes through two points is :

slope,   [tex]m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]

The given points are (-3.9,4.1) and (5.5,-4.1).

y2 = -4.1

y1 = 4.1

x2 = 5.5

x1 = -3.9

Substituting all these values  in the above equation  we get,

slope,  [tex]m = \frac{-4.1 - (4.1)}{5.5 - (-3.9)}[/tex]

m = -8.2 / 9.4

m = -0.87

So, the slope of the line formed by given points is -0.87. Therefore , option B is correct answer.

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