If measure of AC= 50 degrees, then…

1) How many degrees measures the central angle O?

2) How many degrees measures the inscribed angle B?

The number of minutes needed to solve an exercise set of variation problems varies directly with the number of problems and inversely with the number of people working on the solutions.  it will take 6 people approximately 24 minutes to solve 42 problems based on the given variation relationship.

Let's denote the number of minutes needed to solve the exercise set as "m," the number of problems as "p," and the number of people as "n." According to the given information, we have the following relationships: m ∝ p (direct variation) and m ∝ 1/n (inverse variation).

We can express these relationships using proportionality constants. Let's denote the constant of direct variation as k₁ and the constant of inverse variation as k₂. Then we have the equations m = k₁p and m = k₂/n.

In the initial scenario, with 4 people solving 18 problems in 36 minutes, we can substitute the values into the equations to find the values of k₁ and k₂. From m = k₁p, we have 36 = k₁ * 18, which gives us k₁ = 2. From m = k₂/n, we have 36 = k₂/4, which gives us k₂ = 144.

Now, we can use these values to determine how many minutes it will take 6 people to solve 42 problems. Substituting n = 6 and p = 42 into the equation m = k₂/n, we get m = 144/6 = 24. Therefore, it will take 6 people approximately 24 minutes to solve 42 problems based on the given variation relationship.

Learn more about variation relationship here:

https://brainly.com/question/15210301

#SPJ11

The area between the function f(x) = x² - 9 and the x-axis from x = 0 to x = 7 is 150 square units.

To find the area between the given function and the x-axis, we can use the concept of definite integration. The function f(x) = x² - 9 represents a parabola that opens upwards and intersects the x-axis at two points, x = -3 and x = 3. However, we are only concerned with the portion of the function between x = 0 and x = 7.

First, we need to find the integral of the function f(x) over the interval [0, 7]. The integral of f(x) with respect to x can be calculated as follows:

∫(0 to 7) (x² - 9) dx = [1/3 * x³ - 9x] evaluated from 0 to 7

= [(1/3 * 7³ - 9 * 7)] - [(1/3 * 0³ - 9 * 0)]

= [(1/3 * 343 - 63)] - 0

= (343/3 - 63) square units

= (343 - 189) square units

= 154 square units.

Learn more about Area

brainly.com/question/4474113

#SPJ11

The population of interest is all students at the school, not just the 30 students in the statistics class who were surveyed.

The average hours of television per day in the sample is likely not representative of the average hours of television watched per day in the population. This is because the sample only consists of 30 students from the statistics class, which may not be a diverse and random representation of the entire school population.

The parameter of interest is the average hours of television watched per day by all students at the school.

The numeric value of the statistic corresponding to the above parameter is 12 hours.

The variable measured on each student is the number of hours of television watched per day.

The variable is quantitative, as it involves numerical values.

Two statistics that the student could use to summarize the variable are mean and median. The mean would give the average hours of television watched per day, while the median would provide the middle value in the data, which can help understand the central tendency of the data.

One graph that the student could use to summarize the variable is a histogram. A histogram would show the distribution of the data, which can help visualize how the hours of television watched per day are spread across the sample.

for more questions on survey

https://brainly.com/question/17319469

#SPJ11

Answer:

$45.15

Step-by-step explanation:

$42*107.5%

=$45.15

PLS GIVE BRAINLIEST

Answer:

45.15

Step-by-step explanation:

Take 100% (Original Price) and add the 7.5, Aka 107.5.

Multiply the price (42) and the percent that you just got, 107.5%.

Use the percent sign!!!

The answer then should be 45.15

According to the question ( a.) IV: Exposure to alcohol advertising, DV: Amount of alcoholic beverages consumed. ( b.) Design: Pretest-posttest design. ( c. ) [Graph] showing increased alcohol consumption after exposure to alcohol advertising.

a) In this scenario:

- The independent variable (IV) is the exposure to alcohol advertising (specifically, viewing a 30-minute TV show with entertaining ads for alcoholic products).

- The dependent variable (DV) is the amount of alcoholic beverage consumption reported by the college students.

b) The design used in this scenario is a pretest-posttest design. The participants' alcohol consumption was measured on Monday and Tuesday (pretest) before the exposure to alcohol advertising on Wednesday, and then measured again on Thursday and Friday (posttest) after the exposure to alcohol advertising.

c) Below is a sketch of a possible graph representing the results:

```

        |

   DV   |        

        |        Posttest

        |       +-----------------

        |   /\

        |  /  \              

        | /    \        

        |/      \      

        |        \    

        |         \  

        |          \  

        |           \

        |            \

        |----------------------

            Pretest    

```

The graph illustrates that there is an increase in the reported alcohol consumption after the exposure to alcohol advertising (posttest) compared to the pretest levels.

To know more about advertising visit-

brainly.com/question/15774199

#SPJ11

Answer:

l:6   w:9

Step-by-step explanation:

       54        

 1          54

 2         27

 3          18

 6          9

The average velocity between 3 and 6 seconds will be found with the following equation:

The y-intercept in this situation means A. When the cab travels 0 miles, the total fee will be $14.00.

The formula to find the y-intercept is y = f(x), where x = 0, and then solve for y.

The equation for a linear relationship is y = mx + b, where x is the independent variable, y is the dependent variable, m is the slope of the line, and b is the y-intercept.

Cab Fare

Number of Miles Total Fee

2                             $17.00

5                             $21.50

7                            $24.50

10                          $29.00

15                          $36.50

Difference between 7 and 5 = 2

Difference between $24.50 and $21.50 = $3

Variable cost per mile (Slope) = Rise/Run

= $1.50 ($3/2)

y = mx + b

y-intercept, b = 24.50 - 7(1.5)

= 14

= $14.00

Thus, the y-intercept in this situation means Option A while the slope shows that for every additional mile, the total fee increases by $1.50.

Learn more about the y-intercept at https://brainly.com/question/25722412

#SPJ1

Answer:

The y-intercept in this situation means A. When the cab travels 0 miles, the total fee will be $14.00.

Step-by-step explanation:

Replace the letters with their given values:

6(6) - 8 / 4

Do the multiplication:

36-8 / 4

Subtract:

28/4

Divide to get the final answer :7

Answer = 7

Answer:

it’s , 7

Step-by-step explanation:

To evaluate an expression with variables: 1. Substitute the values for the variables. 2. Identify grouping symbols, beginning with the innermost symbols. 3. Determine and apply the rules of exponents to simplify. 4. Evaluate. Evaluate the expression using x = –1 and y=3. (6x4y3) What is the value of the expression?

Answer:

The answer is 5.1 from my calculator but the price should be about 14.62

Step-by-step explanation:

I put it into a calculator

The expected NPV of the Fixed Lease Option with the given changes is -$919,480.

Step 1: Calculate the probability of each demand level:

The problem doesn't provide the probabilities for each demand level, so we'll assume the same probabilities as in the original example:

- Low demand: 0.2

- Moderate demand: 0.5

- High demand: 0.3

Step 2: Calculate the revenue for each demand level:

The revenue is now $1.32 for each unit of demand. In the original example, it was $1.50. Therefore, we'll multiply the revenue for each demand level by the new value:

- Low demand: 50,000  $1.32 = $66,000

- Moderate demand: 60,000  $1.32 = $79,200

- High demand: 70,000  $1.32 = $92,400

Step 3: Calculate the cash inflows for each demand level:

The cash inflows are the revenues minus the lease cost. The lease cost for the Fixed Lease Option is $500,000. Therefore, we subtract this cost from the revenue for each demand level:

- Low demand: $66,000 - $500,000 = -$434,000

- Moderate demand: $79,200 - $500,000 = -$420,800

- High demand: $92,400 - $500,000 = -$407,600

Step 4: Calculate the expected cash inflow:

The expected cash inflow is the sum of the cash inflows for each demand level, weighted by their probabilities:

Expected cash inflow = (0.2 (-$434,000)+ (0.5  (-$420,800) + (0.3  (-$407,600)

Expected cash inflow = -$86,800 + -$210,400 + -$122,280

Expected cash inflow = -$419,480

Step 5: Calculate the expected NPV:

The expected NPV is the expected cash inflow minus the initial investment, which is the cost of the fixed lease. In this case, the initial investment is $500,000 (as stated in the problem):

Expected NPV = Expected cash inflow - Initial investment

Expected NPV = -$419,480 - $500,000

Expected NPV = -$919,480

Therefore, the expected NPV of the Fixed Lease Option with the given changes is -$919,480.

Learn more about Cash Inflow here:

https://brainly.in/question/40742736

#SPJ11

Answer:

slope=2/3

Step-by-step explanation:

form is y=mx+b where m is the slope.

The gas used and miles are proportional for each scooter.

Proportional relationships are relationships between two variables where their ratios are equivalent.

A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:  

y = k x

for some constant k , called the constant of proportionality .

Therefore, let's check whether the scooter A and scooter B shows proportional relationships.

Hence,

For scooter A:

y = kx

where

Therefore,

2 = 150 k

k = 2  /150

k = 1 / 75

Hence,

y = 1 / 75 x

From the table of scooter A, the ratio is constant, therefore, the relationships of gas used and distance covered is proportional for scooter A.

For the Scooter B the graph is also proportional because the ratios of the variables are constant.

learn more on proportional relationship here: https://brainly.com/question/12917806

#SPJ1

Answer:

≈ 197 students

Step-by-step explanation:

Let's start by writing what we know.

150 students sampled

68 prefer soccer

59 prefer basketball

23 prefer swimming

Part A

If 59 students prefer basketball out of the 150 students sampled then we divide 59/150 in order to get the percentage of students that prefer basketball.

59/150 ≈ 39.33%       Remember this is only a sample of the students so it is approximate.

Now that we have the percentage, we can multiply it by the entire student body to get an approximate number of all students that prefer basketball.

39.33% = .3933

.3933 * 500 = 196.66  ≈ 197 students   (because we can't have a partial student we round up)

The best approximation of the number of students in the school who prefer basketball is 197.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

The results from a random sample of 150 students' after-school activities at a school are shown.

68 students prefer soccer. 59 students prefer basketball. 23 students prefer swimming.

The percentage of students who prefer soccer will be

\(\rightarrow \dfrac{68}{150} = \dfrac{34}{75}\)

The percentage of students who prefer basketball will be

\(\rightarrow \dfrac{59}{150}\)

The percentage of students who prefer swimming will be

\(\rightarrow \dfrac{23}{150}\)

If there are a total of 500 students in the school. Then the best approximation for how many students in the school prefer basketball will be

\(\rightarrow \dfrac{59}{150} \times 500 = 196.667 \approx 197\)

More about the percentage link is given below.

https://brainly.com/question/8011401

Answer:

5 or C

Step-by-step explanation:

when you plug in 5, you get -24 as the cost. Then you take that number with the amount of money you make selling 5 flowers and that would be $50 since they are $10/per bouquet. Then when you subtract you get a positive profit of $26.

Answer:

5

Step-by-step explanation:

For profit to be had, the selling price (represented by $10x, x being number of bouquets sold) must be greater than the cost to produce (here, -x^4 + 3x^3 + 5x^2 + 20x +1).

Set up an inequality such that 10x is greater than the cost to produce.

10x > -x^4 + 3x^3 + 5x^2 + 20x + 1

-Solving the inequality by subtracting 10x from both sides, we have:

0 > -x^4 + 3x^3 + 5x^2 + 10x + 1

-Using a graphing calculator, (the one they give you on Edgenuity) graph the new function and look for where the graph is below the x axis. (y is less than 0)

Looking at the graph, we see that when x is greater than 0, (you can't sell a negative amount of bouquets) y is greater than 0 up until x = 4.579. After 4.579, the y values become negative. (what we want to be looking at according to the inequality.)

You can't sell 4.579 bouquets, and even if you could, you'd be breaking even, with y=0. The answer isn't 4, because according to the graph and inequality, y would be greater than 0 (making the inequality false). Because of this, we have to find the next whole positive number that would make the inequality true, and that is 5.

Answer:

9,797

Step-by-step explanation:

98 x 100 = 9,800

9,800 + 5 - 9,805

9,805 - 23 = 9,782

9,782 + 15 = 9,797

Answer:

A)

B)

D)

Step-by-step explanation:

Answer:

2xy+2x

Step-by-step explanation:

Answer:

-12x+7

Step-by-step explanation:

combine the like terms

The solutions for the equation \(y=-4(x-2)^2+6\) are as follows \(x = 2 + \sqrt{(6 - Y) / 4}\) or \(x = 2 - \sqrt{(6 - Y) / 4}\).

The given equation is in standard form for a quadratic equation, where the coefficient of \(x^2\) is negative. This means the graph of the equation is a downward-opening parabola, and the vertex of the parabola is (2, 6).

To solve the equation, we can first isolate the variable Y on one side:

\(Y - 6 = -4(x - 2)^2\)

Then we can divide both sides by -4:

\((Y - 6) / -4 = (x - 2)^2\)

Next, we can take the square root of both sides:

\(\sqrt{[(Y - 6) / -4] }= x - 2\)

\(\pm \sqrt{(Y - 6) / -4}= x - 2\)

So the solutions are:

\(x = 2 + \sqrt{(6 - Y) / 4}\) or \(x = 2 - \sqrt{(6 - Y) / 4}\)

These equations give the x-coordinates of the points on the graph of the equation for a given value of Y.

Learn more about parabola :

https://brainly.com/question/21685473

#SPJ1

Answer:

90

Step-by-step explanation:

Answer:

the missing angle or the missing exterior angle is 90

Step-by-step explanation:

180-90=90

Answer:

14

Step-by-step explanation:

Make the two function equal to eachother and then, bring -8 to the right which will be added with 20 to get 28. Now you left with 2x on the left side, divide both sides by 2 to solve for (x). Thus x= 14.

Answer:

c. 14

Step-by-step explanation:

Answer:

11 quarters and 4 nickels

Hope this helps! :3

Please mark brainliest! <3

To set up the payoff matrix for this problem considering the cost of the jewelers, we need to calculate the cost for each combination of the number of watches sold and bought.

Let's denote the number of watches sold as S and the number of watches bought as B. The payoff matrix will have rows representing the possible values of S (15, 25, 35, 45) and columns representing the possible values of B (10, 20, 30, 40, 50).

The cost for each combination can be calculated as follows: If S = B, the cost is 50S since they can sell all the watches at the regular price.

If S > B, the cost is 50B + 6(S - B) since they sell B watches at the regular price and have S - B customers leaving with a goodwill cost of $6 each.

If S < B, the cost is 50S + 24(B - S) since they sell S watches at the regular price and have B - S unsold watches that they need to get rid of at $24 each.

(ii) To set up the payoff matrix considering the profit, we need to subtract the cost from the revenue for each combination. The revenue is calculated as the number of watches sold multiplied by the selling price of $50. The payoff matrix will have the same structure as in part (i), but the values will represent profits instead of costs

Please note that without the specified probability for selling 45 watches, it is not possible to provide specific numerical values for the payoff matrix. However, the structure and calculation method remain the same as described above.

To learn more about matrix click here : brainly.com/question/29132693

#SPJ11

Answer:

271600

Step-by-step explanation:

divide 84 by which equals 4
Then multiply 4 by 67,900

Answer: About 15 feet off the ground

The more accurate value is 14.6167273222817 but even this value is not fully exact.

======================================================

Work Shown:

Refer to the diagram below.

sin(angle) = opposite/hypotenuse

sin(66) = x/16

16*sin(66) = x

x = 16*sin(66)

x = 14.6167273222817

x = 15

The ladder reaches roughly 15 feet off the ground, when rounding to the nearest whole number.

I'm rounding to the nearest whole number since the other length (16 ft) is a whole number. Round however you need to if your teacher instructs otherwise.

What could best be described as threatening according to "The Last Dog" is 'a hissing rattlesnake'.

The correct answer choice is option D.

At the beginning of "The last dog", Brock was at the gates of a sealed dome. He was nervous about going outside the dome because he had heard that people who leave never return.

Brock found a puppy and takes the puppy named Brog inside the dome. There were scientists inside the dome who wanted to experiment on Brog. But, the scientist could not experiment on Brock and Brog because they thought they had dangerous diseases.

Hence, they allowed them to leave the dome.

Complete question:

Which of the following could best be described as threatening according to "The Last Dog"?

Read more on animals:

https://brainly.com/question/25897306

#SPJ4

1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.

2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.

3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.

4. A graph of the function with intercepts is shown below.

5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;

2x + 3y = 1,470

By subtracting 2x from both sides of the equation and dividing by 3, we have:

2x + 3y - 2x = 1,470 - 2x

y = -2/3(x) + 490

Therefore, the slope is -2/3 and the y-intercept is 490.

Part 2.

In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.

Part 3.

Next, we would write the equation in function notation as follows;

f(x) = -2/3(x) + 490

where:

The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.

Part 4.

In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.

Part 5.

Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:

2x + 3y = 1593; y = -2/3(x) + 531.

2x + 3y = 1,470; y = -2/3(x) + 490.

In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

Read more on slope-intercept here: brainly.com/question/7889446

#SPJ1

Complete Question:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.