Help anyone can help me do this question,I will mark brainlest.​

Answer:

arc length ≈ 23.6 cm

Step-by-step explanation:

the arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × \(\frac{1.25\pi }{2\pi }\) ( r is the radius ) ( cancel 2π on numerator/denominator )

    = 2 × 3 × 1.25π

    = 7.5π

    ≈ 23,6 cm ( to the nearest tenth )

The graph of f(x) = x√3 has been transformed to obtain the graph of g(x) = -12x - 9 - √3. We need to determine which transformations have been applied to the original graph.

To identify the transformations, let's compare the given equation g(x) = -12x - 9 - √3 with the original equation f(x) = x√3.

1. Horizontal Reflection (Reflection across the y-axis):

The negative coefficient in front of x (-12x) in g(x) indicates a horizontal reflection compared to the original graph. This means the graph of g(x) is a mirror image of the graph of f(x) across the y-axis.

2. Vertical Translation (Shift downward):

The constant term in g(x) (-9 - √3) indicates a vertical translation downward compared to the original graph. This means the graph of g(x) is shifted vertically downwards by 9 + √3 units.

Therefore, the correct transformations applied to the graph of f(x) = x√3 to obtain the graph of g(x) = -12x - 9 - √3 are a horizontal reflection across the y-axis and a vertical translation downward.

To learn more about vertical translation, click here:

brainly.com/question/26218724

#SPJ11

Therefore, the Knicks travel two times further when they play the Lakers compared to the Miami Heat.

Time is a fundamental concept used to describe the sequence of events and the duration between them. It is a continuous and irreversible flow of moments and intervals in which events occur in a chronological order. Time can be measured by various units, such as seconds, minutes, hours, days, weeks, months, and years, and is commonly divided into past, present, and future. Time is often perceived subjectively, with its perception varying depending on factors such as an individual's location, culture, and personal experience. The study of time is an essential part of various fields, including physics, philosophy, psychology, and sociology.

To find out how many times further the Knicks travel when they play the Lakers compared to the Miami Heat, we need to divide the larger distance (the distance between Madison Square Garden and the Staples Center) by the smaller distance (the distance between Madison Square Garden and the American Airlines Arena).

So, the calculation is:

\(2.8 x 10^3 miles / 1.4 x 10^3 miles = 2\)

To learn more about times, visit

https://brainly.com/question/28050940

#SPJ1

Answer:

9 days

Step-by-step explanation:

First, write the equation for Daniel's situation:

D = 17t + 49

Then, write the equation for Audrey's situation:

A = 20t + 22

Then, set these equations equal to each other and solve for t to find when they will be on the same page:

17t + 49 = 20t + 22

Solve for t:

17t + 49 = 20t + 22

49 = 3t + 22

27 = 3t

9 = t

So, they will be on the same page 9 days into the month.

Probability of the event that there are no repeated letters is 0.5366.

Probability of an event is the division of total favorable outcomes by total number of outcomes.

Now, in this case a 6 letter pin is selected at random. Firstly there can be (26)⁶ pins that can be generated out of 26 letters. The total events where the repetition of the letter is not presents will be 26x25x24x23x22x21 (! = factorial).

So, P(there are no repeated letters) = (Total Pins in which there are no repeated letters)/(Total pins)

Putting all the values,

P(there are no repeated letters) = 26x25x24x23x22x21/(26)⁶

P(there are no repeated letters) = 0.5366

So, the probability that there are no repeated letters is 0.5366.

To know more about probability, visit,

https://brainly.com/question/13604758

#SPJ4

Answer:

C. -3/4, -2/3, 1/5

Step-by-step explanation:

Just from observation, you can tell the 1/5 will be the greatest because all the other fractions are negative. Then, I converted them to decimal form to make it easier.

-2/3 = -0.6666666 (the 6 goes on forever)

-3/4 = -0.75

1/5= 0.20

Then, you put them in order.

-3/4 would be the least .

Followed by, -2/3

Finally, 1/5

The number of steel beam the truck can carry  given the truck's  capacity is 182.37.

In order to determine the number of steel beam the truck can carry divide the capacity of the truck by the weight of each steel beam.

Division is the mathematical operation that is used to group a number into equal parts using another number. The sign used to denote division is ÷. Other operations used in mathematics are addition, subtraction and multiplication.

Number of steel beams the truck can carry = capacity of the truck / number of steel beams

6,000 / 32.9 = 182.37

To learn more about division, please check: https://brainly.com/question/13281206

#SPJ1

Answer:

A

Step-by-step explanation:

Area of rectangle  = length x width

length = 5x - 2

width = x

area = (5x - 2) × x

100 = 5x² - 2x

the width would be less than the area of the rectangle, thus the inequality sign to be used is <

5x² - 2x < 100

Answer:

-2

Step-by-step explanation:

The results are as follows: A. For segment X:   Price: P = 60,  Quantity: Qₓ = 700, Profit: Profitₓ = (60 - (20 + 2Qₓ)) * Qₓ - (100 + 20Qₓ + Qₓ²)

B. For segment Y- Price: P = 140,  Quantity: Qᵧ = 1000, Profit: Profitᵧ = (140 - (20 + 2Qᵧ)) * Qᵧ - (100 + 20Qᵧ + Qᵧ²)

To determine the price, quantity, and profit for each segment (X and Y), we need to follow these steps:

A. Segmentation for Segment X:

  1. Demand from segment X: Qₓ = 1000 - 5P

  2. Total cost: TC = 100 + 20Q + Q²

  3. Marginal cost: MC = 20 + 2Q

  4. Set the marginal cost equal to the price to find the equilibrium quantity:

     MC = P  ⇒  20 + 2Q = P  ⇒  Q = (P - 20) / 2

  5. Substitute the equilibrium quantity into the demand function for segment X to find the price:

     Qₓ = 1000 - 5P  ⇒  (P - 20) / 2 = 1000 - 5P

  6. Solve the equation to find the price:

     P = 60

  7. Substitute the price into the demand function for segment X to find the quantity:

     Qₓ = 1000 - 5P = 1000 - 5(60) = 700

  8. Calculate the profit from segment X:

     Profitₓ = (P - MC) * Qₓ - TC

     Profitₓ = (60 - (20 + 2Qₓ)) * Qₓ - (100 + 20Qₓ + Qₓ²)

B. Segmentation for Segment Y:

  1. Demand from segment Y: Qᵧ = 2400 - 10P

  2. Set the marginal cost equal to the price to find the equilibrium quantity:

     MC = P  ⇒  20 + 2Q = P  ⇒  Q = (P - 20) / 2

  3. Substitute the equilibrium quantity into the demand function for segment Y to find the price:

     Qᵧ = 2400 - 10P  ⇒  (P - 20) / 2 = 2400 - 10P

  4. Solve the equation to find the price:

     P = 140

  5. Substitute the price into the demand function for segment Y to find the quantity:

     Qᵧ = 2400 - 10P = 2400 - 10(140) = 1000

  6. Calculate the profit from segment Y:

     Profitᵧ = (P - MC) * Qᵧ - TC

     Profitᵧ = (140 - (20 + 2Qᵧ)) * Qᵧ - (100 + 20Qᵧ + Qᵧ²)

Therefore, the results are as follows:

A. For segment X:

  - Price: P = 60

  - Quantity: Qₓ = 700

  - Profit: Profitₓ = (60 - (20 + 2Qₓ)) * Qₓ - (100 + 20Qₓ + Qₓ²)

B. For segment Y:

  - Price: P = 140

  - Quantity: Qᵧ = 1000

  - Profit: Profitᵧ = (140 - (20 + 2Qᵧ)) * Qᵧ - (100 + 20Qᵧ + Qᵧ²)

Learn more about demand function here:

https://brainly.com/question/28198225

#SPJ11

Answer:

A + S = 110

2.5A + 1.1 S = 212

S = 110-A

Put value of x in equation 2

A = 65......... S = 147

Step-by-step explanation:

The main difference between a binomial and multinomial experiment lies in the number of possible outcomes for each trial.

In a binomial experiment, there are two possible outcomes (success or failure), denoted by k = 2. On the other hand, a multinomial experiment involves multiple possible outcomes, with k representing the number of distinct outcomes.

In a binomial experiment, each trial has two possible outcomes, typically labeled as success (S) and failure (F). The number of successful outcomes is of interest, and the probability of success remains constant for each trial. The binomial distribution is characterized by parameters such as the number of trials, the probability of success, and the number of successful outcomes.

In contrast, a multinomial experiment involves multiple possible outcomes, with each outcome occurring with a certain probability. The number of possible outcomes is denoted by k, and each outcome can be categorized or labeled differently. The multinomial distribution considers the probabilities associated with each outcome and their respective frequencies.

In summary, the difference between a binomial and multinomial experiment lies in the number of possible outcomes for each trial. A binomial experiment has two outcomes (success or failure), while a multinomial experiment involves multiple distinct outcomes, with the number of possible outcomes denoted by k.

Learn more about possible here

brainly.com/question/30584221

#SPJ11

The cross product results in the vector ⟨0, 0, 80⟩. Then, we take the dot product of u and the cross product of v and w, which yields the value of 0. Therefore, the scalar triple product u v w is ⟨0, 0⟩.

The scalar triple product u v w is computed by taking the dot product of the vector u and the cross product of vectors v and w. We start by finding the magnitudes of vectors v and w, which are 4√5 and 4√10, respectively.

Next, we determine the sine of the angle between v and w using the cross product formula and find it to be √2 / 2. Using this value, we calculate the cross product of v and w, which results in the vector ⟨0, 0, 80⟩.

Finally, we take the dot product of u = ⟨2, 9⟩ and the cross product of v and w. The dot product is calculated by multiplying the corresponding components of the two vectors and summing the results. In this case, all components of the cross product vector are zero, so the dot product yields 0.

In summary, the scalar triple product u v w is ⟨0, 0⟩, indicating that the value of the expression is zero.

To know more about scalar triple product, click here: brainly.com/question/13419505

#SPJ11

The required number of children and adults for sitting in the theater are 300 and 50 respectively.

A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.

Let be consider number of children be x and that of adults is y.

We have,

x + y = 350-------(1)

y = 350 - x

And 5x + 10y = 2000------------------(2)

Put value of y in equation (2)

5x + 10( 350 - x) = 2000

5x + 3500 - 10x = 2000

-5x = -1500

x = 300

Then

y = 350 - x = 350 - 300 = 50

Thus, There will be 300 children and 50 adults in the  theater .

To know more about equation of two variable visit:

brainly.com/question/29209545

#SPJ1

Answer: Diane's car for the FIRST one because the line/ "gas" goes down at a slower rate I'm going to take an estimated guess and say she will have 15 left. For the SECOND one, it will be 180, and Omar's car

Answer:

Step-by-step explanation:

is negative under radical which is a no-no

2i

Answer:

The square root of -4 is not -2 because

-2 x -2 = 4. A negative number times a negative number is a positive number.

a) The publisher's marginal cost (MC), average cost (AC), average variable cost (AVC), and average fixed cost (AFC) can be calculated using the given total cost function.
b) The value of Q where the marginal cost curve crosses the average cost curve and average variable cost curve can be found by setting MC equal to AC and AVC and solving the equations.
c) The output elasticity ε_TC,Q can be calculated using the derivative of TC(Q) with respect to Q and multiplying it by Q/TC(Q).

a) To find the publisher's marginal cost (MC), average cost (AC), average variable cost (AVC), and average fixed cost (AFC), we can use the given total cost function TC(Q) = 25,000 − 50Q + 15Q^2.

- Marginal Cost (MC): The derivative of the total cost function with respect to Q gives us the marginal cost.

TC(Q) = 25,000 − 50Q + 15Q^2

MC = d(TC(Q))/dQ

= -50 + 30Q

- Average Cost (AC): The average cost is calculated by dividing the total cost by the quantity produced.

AC = TC(Q)/Q

= (25,000 − 50Q + 15Q^2)/Q

- Average Variable Cost (AVC): The average variable cost is calculated by dividing the variable cost by the quantity produced.

AVC = (TC(Q) - AFC)/Q

= (25,000 − 50Q + 15Q^2)/Q - AFC/Q

- Average Fixed Cost (AFC): The average fixed cost is calculated by subtracting the average variable cost from the average cost.

AFC = AC - AVC

b) To find the value of Q where the marginal cost curve crosses the average cost curve and average variable cost curve, we need to set MC equal to AC and AVC and solve for Q.

MC = AC:

-50 + 30Q = (25,000 − 50Q + 15Q^2)/Q

30Q^2 - 80Q + 25,000 = 0

Solve the quadratic equation to find the value of Q.

MC = AVC:

-50 + 30Q = (25,000 − 50Q + 15Q^2)/Q - AFC/Q

Solve the equation to find the value of Q.

c) To find the output elasticity ε_TC,Q, we need to calculate the derivative of TC(Q) with respect to Q and multiply it by Q/TC(Q).

ε_TC,Q = (d(TC(Q))/dQ) * (Q/TC(Q))

Calculate the derivative and substitute the values to find the output elasticity ε_TC,Q.

Conclusion:
a) The publisher's marginal cost (MC), average cost (AC), average variable cost (AVC), and average fixed cost (AFC) can be calculated using the given total cost function.
b) The value of Q where the marginal cost curve crosses the average cost curve and average variable cost curve can be found by setting MC equal to AC and AVC and solving the equations.
c) The output elasticity ε_TC,Q can be calculated using the derivative of TC(Q) with respect to Q and multiplying it by Q/TC(Q).

To know more about average visit

https://brainly.com/question/24057012

#SPJ11

Answer:

1. Suleyman 'The Magnificient'.

2. Eastern Europe

3. government

4. tolerance

Step-by-step explanation:

1- Under Suleyman 'The Magnificient', the Ottomans saw great advancement in the arts, architecture, and law.

2- He also expanded the empire into Eastern Europe.

3- The Ottoman Empire created a complex and efficient system government.

4- Ottoman sultan also promoted religious tolerance.

The height of the building is approximately 102.86 meters.

Given that from a certain distance, the angle of elevation to the top of a building is 17 degrees. At a point 50 meters closer to the building, the angle of elevation is 31 degrees. To find the height of the building.In the given figure, AB is a building and C and D are two different points at a certain distance from the building. So that, angle BCA = 17° and angle BDA = 31°.We have to find the height of the building AB.

Now, let's find the distance between the building and point C and D. Let, BC = x50 meters closer to the building, so BD = x + 50 metersWe know, tangent of an angle = Perpendicular / BaseFor the angle 17°, we have to find AC, so;tan(17°) = AB / ACAB = AC tan(17°) ---(1)For the angle 31°, we have to find AD, so;tan(31°) = AB / ADAB = AD tan(31°) ---(2)Now, find the difference between (1) and (2).AC tan(17°) - AD tan(31°) = 0AC / AD = tan(31°) / tan(17°) [Divide both sides by AD tan(17°)]AC / (AD + 50) = tan(31°) / tan(17°) ----(3)We know the value of (AC + AD) is the actual distance between the building and the point.

So,(AC + AD) = x + (x + 50) = 2x + 50 metersNow we can use the value of AC / (AD + 50) in equation (3) and solve for AB.AB = AC tan(17°) = (2x + 50) tan(17°) tan(31°) / (tan(31°) - tan(17°))Substitute the value of AB from equation (1), so;AC tan(17°) = (2x + 50) tan(17°) tan(31°) / (tan(31°) - tan(17°))AC = (2x + 50) tan(31°) / (tan(31°) - tan(17°))Now, let's use the value of AC in equation (1),AB = AC tan(17°) = (2x + 50) tan(17°) tan(31°) / (tan(31°) - tan(17°)) = 102.86 meters (approx.)So, the height of the building is AB = 102.86 meters (approx.)

Learn more about Approximately

brainly.com/question/30707441

#SPJ11

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

Learn more about  data here:

https://brainly.com/question/29117029

#SPJ11

X u y = {z l z ∈ x or z ∈ y} is a valid set builder notation. Yes, this is a valid set builder notation. This specifies the elements of the set.

A set builder notation is a way of expressing a set using a description of its elements. In this particular set builder notation, the set consists of all elements that are either in set x or set y.

The notation is written as {z l z ∈ x or z ∈ y}, where the curly braces denote the set and the statement "z ∈ x or z ∈ y" specifies the elements of the set. This is a valid set builder notation because it correctly expresses the elements of the set.

Learn more about set here

https://brainly.com/question/12979762

#SPJ4

Based on the explanation below, the conclusion that Elan is tired because Elan stayed up late is invalid.

In the question, it is stated that if Elan stays up late, he will be tired the next day.

However, staying up late is not the only thing that could make Elan get tired.

This implies that there are so many other things than can make Elan get tired such as working for long hours.

It is possible that Elan was tired because Elans worked long hours.

By implication, the conclusion is invalid.

Learn more about the conclusion here: https://brainly.com/question/15292067.

#SPJ1

In linear equation, $ 442.54 tall is the tower.

What are a definition and an example of a linear equation?

Suppose A is the window, B is the top of the tower, C is the bottom of the tower, and D is the point on the tower at the same horizontal level as the window.

Find BD, DC then add these together to give this°.

For BD :  AD is 350 ft, the angle CAD is 42.  

So BD/350 = tan 42°.  

      BD =  0.9004 × 350

      BD  = 315.14

   AD/350  =  tan20°

    AD =   0.364 × 350

    AD =  127.4

AD + BD =   315.14 +   127.4  =  $ 442.54

Learn more about  linear equation

brainly.com/question/11897796

#SPJ9

The answer is: a. Yes, the forecast fails the bias test.

To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.

If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.

In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.

Therefore, the answer is:

a. Yes, the forecast fails the bias test.

Learn more about bias test from

https://brainly.com/question/32000527

#SPJ11

The probability of the man getting a matched pair of socks when he randomly selects two socks from a drawer is 5/45, or approximately 0.11.

To calculate the probability of the man getting a matched pair of socks when he randomly selects two socks from a drawer, we need to consider the number of possible combinations of socks that result in a match and divide that by the total number of possible combinations of two socks.

The man has a total of 5 pairs of socks, or 10 socks, so there are 10 choose 2, or 45, possible combinations of two socks. Out of these, 5 of them result in a match, because there are 5 pairs of matching socks in the drawer.

Therefore, the probability of getting a matched pair of socks is 5/45, or approximately 0.11. This means that there is an 11% chance that the man will select a matched pair of socks if he randomly selects two socks from the drawer.

Learn more about probability here:

https://brainly.com/question/15590961

#SPJ4

Answer:the answer is x=6

Step-by-step explanation:

I alr did the quiz for this question on edg 2020

Answer:

x= 6

Step-by-step explanation:

Answer:

70°

Step-by-step explanation:

This is a question on angle properties.

Angle K + 35 + 75 = 180 (Sum of angles in a triangle)

Angle K + 110 = 180

Angle K = 180 - 110 = 70°

Answer:

angle k = \(\boxed {70}^\circ\)

Step-by-step explanation:

The angles in a triangle add up to 180°.

∴ ∠k + 75° + 35° = 180°

⇒ ∠k + 110° = 180°

⇒ ∠k = 180° - 110°

⇒ ∠k = 70°

Answer:

26.347

Step-by-step explanation:

use a calculator bruda

Step-by-step explanation:

The bigger number should on the top and the smallest number should be on bottom,so if there is less digit in he too number then there must be added. so after the equation is solved the answer comes.