A movie theater has been charging $10.00 per person and selling about 500 tickets on a typical weeknight. After surveying their customers, the theater management estimates that for every 50 cents that they lower the price, the number of moviegoers will increase by 50 per night. Find the demand function. (Let x represent the number of tickets sold and p represent the price.) Calculate the consumer surplus when the tickets are priced at $7.00. $____

Answer:

275 km per day

Step-by-step explanation:

do you need any other conversions? like how many km per hour?

Answer:

A

Step-by-step explanation:

The volume of a Cylinder is \(\pi \\\)*r^2 * h

In this problem I will use 3.14 as pi because it is easier to type

Water Tank X: 8.5*8.5*3.14*48=10,889.52

Water Tank Y: 9.5*9.5 *3.14*44=12,469.94

Water Tank Z: 10.5*10.5*3.14*32=11,077.92

So, A is correct.

A combination of different graph types may be more appropriate to represent complex data relationships.

Certainly! Here are some common data types and the corresponding graph types that would best represent them:

Continuous Data (Quantitative):

Line Graph: Suitable for displaying trends and changes over time.

Scatter Plot: Useful for showing the relationship between two continuous variables.

Histogram: Effective for visualizing the distribution and frequency of continuous data.

Categorical Data:

Bar Graph: Ideal for comparing categorical variables and displaying their frequencies or proportions.

Pie Chart: Useful for illustrating the composition or relative proportions of different categories.

Stacked Bar Graph: Effective for comparing multiple categories and their subcategories.

Hierarchical Data:

Tree Diagram: Suitable for visualizing hierarchical relationships or organizational structures.

Sunburst Chart: Effective for displaying hierarchical data with multiple levels, often used for representing proportions.

Relationships between Variables:

Scatter Plot: Shows the correlation or relationship between two continuous variables.

Bubble Chart: Similar to a scatter plot, but with an additional dimension represented by the size of the bubbles.

Geographical Data:

Choropleth Map: Useful for representing data based on geographic regions, using colors or shading to indicate values.

Bubble Map: Similar to a choropleth map, but with bubbles of different sizes placed at specific locations to represent data.

Comparison:

Bar Graph: Suitable for comparing multiple categories or groups and their respective values.

Box Plot: Effective for comparing distributions and identifying outliers among different groups.

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Answer:

Step-by-step explanation:

Answer:

33/28

Step-by-step explanation:

(3/4) + (3/7) = 33/28

~1,18

Answer:

C

Step-by-step explanation:

Senators don't need to be born in the United States. They only need nine years of U.S. citizenship to qualify for office.

Answer:

its c cause its cool

Step-by-step explanation:

The formula to calculate the confidence interval is given by: \(CI = X \pm Z^* \cdot \frac{\sigma}{\sqrt{n}}\) Here, X = sample mean, σ = population standard deviation, n = sample size, and Z = z-value corresponding to the level of confidence.

Constructing the 99% confidence interval:We have X = $62,000, σ = $23,000, and n = 65.The z-value for a 99% confidence interval can be found using a standard normal distribution table or a calculator.Using the calculator, we get: Z = 2.576 (rounded off to three decimal places)Now, we can substitute these values in the formula:

\(CI = X \pm Z^* \cdot \frac{\sigma}{\sqrt{n}}\)

= $62,000 ± 2.576*($23,000/√65)CI

= $62,000 ± $7,999.16

The lower limit of the interval is given by:

$62,000 - $7,999.16

= $54,000.84T

he upper limit of the interval is given by:

$62,000 + $7,999.16

= $69,000.16

Therefore, the 99% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is ($54,000.84, $69,000.16).

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The least common denominator (LCD) of the rational expressions is (x+1)(x-1).

When adding or subtracting rational expressions, we need to find a common denominator. The least common denominator (LCD) is the smallest multiple of the denominators of the rational expressions.

To find the LCD, we follow these steps:

Let's consider an example to illustrate this process:

Example:

Find the LCD of the rational expressions:

x/(x+1) and 1/(x-1)

Step 1: Factor the denominators:

x+1 and x-1

Step 2: Identify the common factors:

There are no common factors in this case.

Step 3: Take the product of the highest powers of each common factor:

Since there are no common factors, we skip this step.

Step 4: Include any unique factors:

The unique factors are x+1 and x-1.

Step 5: Simplify the resulting expression:

The LCD is (x+1)(x-1).

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The least common denominator of the rational expressions in this problem is given as follows:

4x(x + 5).

The rational expressions for this problem are defined as follows:

9/(4x + 20), 10/(x² + 5x).

The denominators are given as follows:

The denominators can be simplified as follows:

The least common denominator is the multiplication of the unique factors, hence it is given as follows:

4x(x + 5).

The expression that completes this problem is given as follows:

9/(4x + 20), 10/(x² + 5x).

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The distance from Marcel and Katya is 34 metres

From the given diagram, we have the following

Acute angle given = 42 degrees

According to SOH CAH TOA identity

sin theta = opp/hyp

sin 42 = x/50

x = 50sin42

x = 50(0.6691)

x = 33.46

Hene the distance from Marcel and Katya is 34 metres

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Answer:

6

Step-by-step explanation:

1-30 20

2 0 40

3 30 60

4 60 80

5 90 100

6 120 120

Answer:

what are u needing??

Step-by-step explanation:

Answer:

it is 9

Step-by-step explanation:

when u multiply u will flip and it will not affect

The model of for the given relationship is,

R(x) = (200 + 50x)*(10 - x), where R(x) is the revenue of one week

This graph has downward parabola, vertex at (3, 2450) intersects X axis at 10 and Y axis at 40.

Hence the Graph Y.

Given that a candlemaker prices one set of scented candles at $10 and sells an average of 200 sets each week.

If he reduces the price by $1 then the sells increases 50 more per week.

When he will reduce $ x then the sells will increase 50x per week.

Now the price of each set of scented candles = (10 - x)

and sells in a week = (200 + 50x)

So if the candlemaker's weekly revenue is R(x) then

R(x) = (200 + 50x)*(10 - x)

R(x) = 2000 + 500x - 200x - 50x²

R(x) = 2000 + 300x - 50x²

If R(x) = y, then

y = 2000 + 300x - 50x²

50(x² - 6x - 40) = - y

50{(x - 3)² - 49} = - y

50(x - 3)² - 2450 = - y

50(x - 3)² = - (y - 2450)

So, the vertex at (3, 2450) and the parabola is downwards.

when intersect X axis then y = 0

x² - 6x - 40 = 0

x² - 10x + 4x - 40 = 0

(x - 10)(x + 4) = 0

x = -4, 10

and where cuts Y axis then x = 0

y = 40

Hence the correct graph is Graph Y.

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Answer:

he said ‎help please!! tasks from 9 to 16!! Very necessary!! Thank you so much in advance!! <Z‎

Step-by-step explanation:

your welcome

79.1 mL is equal to 0.0791 liters with correct significant figures.

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

We convert the units of any quantity to understand better. For example, the length of a table is measured in inches; on the other hand, the length of a garden is measured in yards to make it simple to comprehend. We cannot calculate the length of a finger in miles.

79.1 mL is equal to 0.0791 litres. To convert millilitres to litres, we divide the number of milliliters by 1000:

79.1 mL / 1000 = 0.0791 liters

So, 79.1 mL is equal to 0.0791 litres with correct significant figures.

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Answer:

50

Step-by-step explanation:

Rounding 392.72 ≈ 400 ( to 1 significant figure )

Rounding 8.44 ≈ 8 ( to 1 significant figure )

Then

400 ÷ 8 = 50

The value of the expression 392.72 ÷ 8.44 rounding to 1 significant figure will be 46.5.

Algebra is the breakdown of abstract signs, while logic is the manipulation of all those thoughts.

The definition of clarity is making something easier to achieve or grasp while also making it slightly less difficult.

The expression is given below.

⇒ 392.72 ÷ 8.44

Simplify the expression, then we have

⇒ 392.72 ÷ 8.44

⇒ 392.72 / 8.44

⇒ 46.5

The value of the expression 392.72 ÷ 8.44 rounding to 1 significant figure will be 46.5.

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Answer:

B

Step-by-step explanation:

A. 2L, 2.9L, 2.5L, 2.4L

B. 2L, 2.4L, 2.5L, 2.9L

C. 2.9L, 2.5L, 2L, 2.4L

D. 2.9L, 2L, 2.5L, 2.4L

Answer:

what is in order from least to greatest is B

Step-by-step explanation:

as we know 1L = 10dL = 100cL = 1000mL so that we have 2L then 24dL (2.4L) then 250cL (2.5L) then 2900mL (29L)

Answer:

the rate of change is 3x(slope)

a) Any value outside of Q1 - 1.5(IQR) and Q3 + 1.5(IQR) can be considered a potential outlier.

b) This will give us a visual representation of the distribution of income among the full-time students.

c) It is important to analyze outliers carefully to ensure that they are not artificially skewing the results of our analysis.

(a) To check for outliers in the data set, we can use the box-and-whisker plot or the z-score method. However, since we do not have the exact data, we cannot use these methods. One way to identify potential outliers is to calculate the quartiles (Q1, Q2, and Q3) and the interquartile range (IQR).

(b) To draw a histogram of the data, we can use the frequency distribution table given in the question. The x-axis should represent the income ranges (e.g. $0-$100, $100-$200, etc.) and the y-axis should represent the frequency (i.e. the number of students who earned income within each range).

(c) If there are any outliers in the data set, we need to investigate them further to determine the reason for their unusual values. Possible reasons for outliers could be data entry errors, extreme values due to high- or low-income jobs, or unique situations such as unexpected windfalls or emergencies.

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Answer:

Try the fourth one. Forgive me if I'm wrong.

The linear approximation of f(x)= sqrt(4-x) at a=0 can be used to approximate sqrt(3.9) and sqrt(3.99) as 0.0500 and 0.0050, respectively.

The linear approximation of the function f(x)= sqrt(4-x) at a=0 is given by:

L(x) = f(a) + f'(a)(x-a)
    = sqrt(4-0) + (-1/2)(x-0)
    = 2 - 0.5x

To approximate the numbers sqrt(3.9) and sqrt(3.99) using L(x), we need to plug in the values of x and round the answer to four decimal places.

For sqrt(3.9), we have:

L(3.9) = 2 - 0.5(3.9)
      = 0.05

Rounding to four decimal places, we get:

L(3.9) ≈ 0.0500

For sqrt(3.99), we have:

L(3.99) = 2 - 0.5(3.99)
       = 0.005

Rounding to four decimal places, we get:

L(3.99) ≈ 0.0050

Therefore, the linear approximation of f(x)= sqrt(4-x) at a=0 can be used to approximate sqrt(3.9) and sqrt(3.99) as 0.0500 and 0.0050, respectively.

To find the linear approximation L(x) of the function f(x) = sqrt(4-x) at a=0, we need to calculate the value of the function and its derivative at a=0:

f(a) = f(0) = sqrt(4-0) = sqrt(4) = 2

Now, we find the derivative of f(x) with respect to x:
f'(x) = d/dx(sqrt(4-x)) = -1/(2*sqrt(4-x))

Next, evaluate f'(x) at a=0:
f'(0) = -1/(2*sqrt(4-0)) = -1/(2*2) = -1/4

The linear approximation L(x) is given by:
L(x) = f(a) + f'(a)(x-a)
L(x) = 2 - (1/4)(x-0) = 2 - (1/4)x

Now, we use L(x) to approximate sqrt(3.9) and sqrt(3.99):
L(0.1) = 2 - (1/4)(0.1) = 1.9750
L(0.01) = 2 - (1/4)(0.01) = 1.9975

So, the linear approximations of sqrt(3.9) and sqrt(3.99) are 1.9750 and 1.9975, respectively.

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A Decision Support System (DSS) is a computer-based information system that assists decision-makers in making informed and effective decisions. It provides analytical tools, models, and data to support decision-making processes. The key components of a DSS include a database, model base, user interface, and decision-making tools.

A suitable diagram illustrating the purpose and key components of a Decision Support System (DSS) would typically show the interrelationship between these components. The diagram would highlight the flow of information from the database to the user interface, where decision-makers interact with the system using decision-making tools. The model base represents various analytical models and algorithms used to analyze data and generate insights for decision-making.

Individual DSS and Group DSS differ in terms of the support they provide. Individual DSS focuses on assisting individual decision-makers in their decision-making processes. It provides personalized support tailored to the specific needs and preferences of the individual user. On the other hand, Group DSS facilitates collaborative decision-making among a group of individuals. It supports communication, information sharing, and consensus-building among group members.

The evolutionary approach to Management Information System (MIS) development involves incremental and iterative development of the system. It starts with a basic version of the system and gradually adds new features and functionalities based on feedback and evolving requirements. This approach is most suitable for the development of an Individual DSS when the user's decision-making needs are not fully understood or when the requirements are likely to change over time.

By adopting an evolutionary approach, the system can be refined and enhanced iteratively, ensuring it remains aligned with the user's evolving needs and provides effective decision support.

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Answer:

Since each digit can be repeated, there are 4 options for each digit.

Therefore, the total number of possible four-digit numbers that can be made using the digits 1, 3, 5, and 8 with repeated digits is:

4 x 4 x 4 x 4 = 256

The statement “It’s very easy to see whether your subtraction is correct. Simply add the difference and the subtrahend. It should equal the minuend” refers to the subtraction check rule. The subtraction check rule is a process used to verify the correctness of subtraction problems.

If the difference of the subtrahend from the minuend is loaded with correct values, then the difference is the correct answer .Content loaded means when a webpage, app, or other digital product has completely loaded all its contents, it means that everything in it has loaded, including images, videos, and any other embedded features .If there is a mistake in subtraction, you can use the following steps to correct it: Double-check the original subtraction problem. If you made a mistake when you wrote the numbers down, correcting this error could solve the problem. Check your subtraction. Verify each step of your subtraction, ensuring that each step is mathematically accurate. For example, make sure you borrowed when necessary and did not make any addition errors. If you detect an error, go back and correct it. This should solve the problem .Check your subtraction again after making any corrections. If you have made any changes, verify that all steps have been completed correctly.

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Answer:

above is the solution to the question

The complementary angles will be 65.6° and 24.4°.

What exactly are complementary angles?

Supplementary and complementary angles are defined by the sum of two angles. If the total of two angles is 90 degrees, they are considered to be complimentary angles since they produce a right angle when combined. If the total of two angles is 180 degrees, they are considered to be supplementary angles since they produce a linear angle when combined.

Now,

Let x be a angle then its complementary angle will be 90°-x as sum of complementary angles is equal to 90°.

as given

90°-x-x=18.8°

9--2x=18.8

2x=71.2

x=65.6° and 90-x°=24.4°

hence,

                The complementary angles will be 65.6° and 24.4°.

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The answer is option A. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.

Probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is 0.0229.Round to four decimal places as needed.Based on the calculations the elevator does not appear to be safe.The solution for the given problem is as follows:

Given that, the maximum capacity of the elevator is 1884 lb - 12 passengers.

We can write as below:

Maximum capacity per person=1884/12=157lb.

And, weights of males are normally distributed with a mean of 165 lb and a standard deviation of 32 lb.Thus, Z = (157-165) / (32 / √12) = -1.7321Then, P(Z > -1.7321) = 0.9586

Hence, the probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is:P(Z > -1.7321) = 1 - P(Z < -1.7321) = 1 - 0.0229 = 0.9771 (rounded off to 4 decimal places).This probability is greater than 5% and therefore, the elevator does not appear to be safe.

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