Math Questions

If P = (-2, -1) and Q = (-6, -3) are the endpoints of the diameter of a circle, find the equation of the circle.

An angle whose measure is 92° is in standard position. In which quadrant does the terminal side of the angle fall? Quadrant I Quadrant II Quadrant III Quadrant IV

Assume the annual salaries of police officers are normally distributed with a mean of $41,000 and a standard deviation of $2000. Determine the percent of police officers with an annual salary of at least $41,000.

Cost, Revenue & Profit For these problems, will represent the number of items and y will represent the money. The fixed costs for a certain item are $170 per week. The cost to produce each item is $6 per item. Using this information, what is the cost equation? Give your answer in slope-intercept form: 6x + 170 y = The retailer intends to sell each item for $21/item. Using this information, what is the revenue equation? Give your answer in slope-intercept form: 21z y= If in this week 16 items are made, and all items are sold in the week, what are the total costs to the retailer? Cost = S 166 X What is the revenue from selling 16 items? Revenue S 336 = Finally, what is the profit for this retailer? Profit $ 170 = X

Suppose you choose four books to read from a summer reading list of 12 books. How many different combinations of books are possible?

On a bicycle, Amy rides for 3 hours and is 14 miles from her house. After riding for 5 hours, she is 22 miles away. What is Amy's rate over the last 2 hours?

Angelo makes x dollars for y hours of work. Sarah makes the same amount of money working 1 hour less. Which of the following expressions represents the positive difference between the two people's hourly wage? Enter a, b, c, d, or e.

Open the graphing tool from your tools and graph this system of equations. Then approximate the solutions to this system. y = 3x²+x-6 y = x - 4

Find the center and radius of this circle: (x-7)²+(y + 4)² = 49

Find the center and radius of this circle: (x + 13)2+(y + 2)² = 81

Find the equation for the following parabola. Focus (3, 4) Directrix y = 2 A. (x-3)² = 2(y-2.5) B. (x-3)² = 4(y-3) C. (x-3)² = (y-4) D. (y-3)² = 4(x-3)

Solve the equation x² - 4x+6=0 by completing the square.

If a car travels 130 miles on 6 gallons of gasoline, how many miles would it travel on 18 gallons? [?] miles Enter the number that belongs in the green box.

Find x if the distance between points L and M is 15 and point M is located in the first quadrant.. L = (-6, 2) M = (x, 2)

Find the absolute maximum value on (0, co) for f(x) = 9x - 5x In x. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute maximum is at x = (Round to two decimal places as needed.) B. There is no absolute maximum.

What is the vertex of this quadratic function? y = 4(x + 5)² + 7

For these problems, □ will represent the number of items and y will represent the money. The fixed costs for a certain item are $170 per week. The cost to produce each item is $6 per item. Using this information, what is the cost equation? Give your answer in slope-intercept form: y = 6T-170 The retailer intends to sell each item for $21/item. Using this information, what is the revenue equation? Give your answer in slope-intercept form: Y If in this week 16 items are made, and all items are sold in the week, what are the total costs to the retailer? Cost = $ 96 What is the revenue from selling 16 items? Revenue = $ 336 Finally, what is the profit for this retailer? Profit = $240 -

In how many ways can 10 runners finish first, second, and third in a foot race?

Solve the equation and check your solutions. If there is no solution, say so. 7 - 5/2x = 15/x

A bag contains 10 marbles. Four of them are red, three blue, two white, and one yellow. A marble is drawn at random. What is the probability that it is not blue?

In how many ways can a president, vice president, and treasurer be selected for a club if the club has 40 members?

The tuition costs, C, for a local community college are modeled by C(h) = 250 + 200h, where h represents the number of credit hours taken. The local state university has tuition costs, S, modeled by the function S(h) = 300 + 180h. How many credit hours will a student have to take for the two tuition costs to be equal? Round the answer to the nearest tenth of an hour. 1. 250+200h = 300 + 180h 2. 250 + 200h = 300 + 180h -180h -180h 3. 250+ 20h = 300 h = credit hours

Triangle XYZ is a right triangle with the right angle at vertex Y. Angle X must be Angle Z must be The sum of angles X and Z must be 90°.

Let p, q, and r represent the following simple statements. p: The temperature is below 35°. q: We finished eating. r. We go to the slope. Write the symbolic statement (q^p)-r in words. If the symbolic statement is given without parentheses, statements before and after the most dominant connective should be grouped. Translate into English. Choose the correct sentence below. OA. If we finished eating and the temperature is not below 35°, then we will not go to the slope. B. If we have finished eating or the temperature is below 35°, then we go to the slope. C. If we have finished eating, then the temperature is below 35° and we go to the slope. D. If we have finished eating and the temperature is below 35°, then we go to the slope.

If you rolled two dice, what is the probability that you would roll a sum of 11?

For the following polynomial function, find (A) the degree of the polynomial, (B) all x-intercepts, and (C) the y-intercept. f(x) = (3x + 2)4(x − 5)5 (A) The degree of the polynomial is.

Find the thirty-second term of the following sequence. 9, 15, 21, ... 199 195 186

If a line has an x-intercept at x = -10 and a y-intercept at y = 9, find its equation in the form y = mx + b.

Describe how the graph of g(x) =1/x+6 - 2 can be obtained from the graph of f(x) = 1/x. How can the graph of g(x)= 1/x+6 -2 be obtained from the graph of f(x) = 1/x ? A. Shift the graph left 6 units and up 2 units. B. Shift the graph right 6 units and up 2 units. C. Shift the graph left 6 units and down 2 units. D. Shift the graph right 6 units and down 2 units.

The width of a rectangle is 3 less than its length. Find the width of the rectangle if its perimeter is 26 ft.

Laura can finish payroll in 3- hours. It takes Ben 5 hours to do the same job. If they work together, how long should it take them?

A red die is tossed and then a green die is tossed. What is the probability that the red die shows an even number or the green die shows an even number? Make sure your answer is reduced. Hint: The two events are not mutually exclusive. So to the find the probability of the union, use: P(A or B)=P(A) + P(B) - P(A and B)

In how many ways can a person select 3 golf shirts for vacation from a selection of 10 golf shirts?

Using the following values, find the mean, median, mode and midrange. 58, 51, 38, 49, 59, 46, 62 The mean is (Round to the nearest tenth as needed.) The median is Select the correct choice below and fill in any answer boxes within your choice. A. The mode is (Use a comma to separate answers as needed.) B. There is no mode. The midrange is

John can finish a certain job in three hours and Chris can finish it in two hours. How many hours will it take them to finish the job if they work together?

Suppose that the probability that your mail is delivered before 2 pm is.90. What is the probability that your mail will be delivered before 2 pm for two consecutive days? Give your answer as a decimal.

It takes Destiny 4 hours to file all the daily paperwork. It takes Susan 5 hours to file the same paperwork. If they work together, how long will it take them?

A mother gives birth to a 9 pound baby. Every 4 months, the baby gains 3 pounds. If z is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y=mx+b that describes the baby's weight.

What is the vertex of this function? f(x) = -4(x - 2)² +9 ([?], []) Hint: Vertex form, y = a(x-h)2 + k, helps us quickly identify the vertex of a quadratic.

Graph n(x) = |x| on the Cartesian plane to the right. The domain of n(x) is: The range of n(x) is: If any of the above do not exist, leave the answer box blank.

The length of a rectangle is 5 less than twice its width. Find the perimeter of this rectangle if its area is 273 yd².

Solve the system of equations by the addition method. x - 2y = -3 -x+6y=-1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is B. There are infinitely many solutions. C. There is no solution. (Simplify your answer. Type an ordered pair.)

Let p, q and r represent the following simple statements: p: I get an A. q: The play is boring. r: The stove is hot. Write the following compound statement in its symbolic form. If I get an A or the play is not boring, then the stove is hot. Write the symbolic form of the statement below.

The revenue (in dollars) from the sale of x car seats for infants is given by the following function. R(x)=56x -0.020x² 0≤x≤2800 (A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. (B) Use the four-step process to find R'(x). (C) Find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, and interpret the results. (A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. 15 (Round to one decimal place as needed.) (B) R'(x) =

The line graph shows the goals per game average for a sporting series during the years shown. Find the average number of goals per game in 1981. The average number of goals per game in 1981 was (Round to the nearest tenth as needed.)

If 3 gallons of paint covers 925 ft², how many gallons would be needed to cover 2775 ft²? [?] gallons Enter the number that belongs in the green box.

Select all the correct answers. Grey's Labs is testing a new growth inhibitor for a certain type of bacteria. The bacteria naturally grows exponentially at a rate of 4.7% each hour. The lab technicians know that the growth inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. The current sample contains 90 bacteria. Once a standard tube contains more than 270 bacteria, the sample will stop growing. So, to analyze the effect of the inhibitor over longer spans of time, the lab technicians move the bacteria to larger containers, essentially increasing the container size at a constant rate. This adaptation accommodates 100 more bacteria each hour. The research team wants to track the number of bacteria over time given these two conditions. Select the two inequalities they can use to model this situation. P ≥ 90e0.047t P ≤ 270 + 100t P ≤ 270 - 100t P≤ 0.047e90t P≤ 90e0.047t

By inspecting the graph of the function, find the absolute maximum and absolute minimum on the given interval. n(x)=3√x - 1 on [8,27] Choose the correct graph below.

What is the minimum number of x-intercepts that a polynomial of degree 6 can have? Explain. The minimum number of x-intercepts is 0. (Type a whole number.) Explain. With a positive leading coefficient, an .... polynomial will start .... Vand end ... With a negative leading coefficient, an .... polynomial will start ... and end ...

Joan has received scores of 64%, 79%, and 75% on the first three tests in a class. What score does she need to get on the fourth test to have an average of 75%? [?]%