Basic Math Questions and Answers

Suppose a bounty hunter captures a certain type of fugitive 62% of the time. On average the apprehension of this type of criminal costs him $9,000 in expenses, but if he captures the criminal he receives a bounty(monetary reward) of $50,000. Based on this information, should the bounty hunter take the job? The expected value is -$27,580, so the bounty hunter should not take the job. The expected value is $22,000, so the bounty hunter should not take the job. The expected value is $27,580, so the bounty hunter should take the job. The expected value is $22,000, so the bounty hunter should take the job.

Analyze the polynomial function f(x) = − 3(x + 2)(x-4)³ using parts (a) through (e). (a) Determine the end behavior of the graph of the function. The graph of f behaves like y =__for large values of |x|

Imagine that you work for a company that sells hardware to various businesses. You receive a commission based on your monthly sales, and your goal for commissions this month is $1,500. You receive a $10 commission for every tablet you sell, and $30 for every computer you sell. Part A Write a linear inequality to model this situation.

The formula for the volume of a pyramid is A.h/3 where A is the area of the pyramid's base and h is its height. The base of the Great Pyramid of Giza is about 53,000 square meters, and its height is about 150 meters. What calculation will give us the estimated volume of the Great Pyramid of Giza in cubic meters?

The total amount of money (in cents) in x nickels, (x + 3) dimes, and 2x quarters. (Hint: The value of a nickel is 5 cents, the value of a dime is 10 cents, and the value of a quarter is 25 cents.)

Determine which of the equations, y = 2x + 4 or y=0.5x+4, is the better fit for the data points. (0,4), (1,6.5), (2,8), (3,10.5) Which equation is a better fit for the data points? A. y=0.5x+4 B. y = 2x+4

Jamaal ran 6 miles in 30 minutes. Which expression shows how to correctly determine his speed in miles per minute? 6 miles 30 minutes 30 minutes = 6 miles 6 miles 1 minute 30 minutes + 1 mile

Solve the system using the substitution method. If there is exactly one solution, write as an ordered pair. If not, choose one of the other options.

A grocer stacks oranges in a pyramidke pille. If the bottom layer is rectangular with 5 rows of 20 oranges and the top layer has a single row of oranges, how many oranges are in the stack? There are ___oranges in the stack

A box, with rectangular sides, base and top is to have a volume of 2 cubic feet. It has a square base. a. Express the surface area A of the box in terms of the width w of the base. b. If the material for the base and top costs 20 dollars/ft² and that for the sides costs 30 dollars/ft², express the total cost C as a function of the width.

Suppose f(x) represents the total number of children that have bought a defective product, and x is the number of days since it came out. Step 2 of 2: Interpret the meaning of f'(42) = 12. 12 is the rate of change in children who have bought a defective product after 42 days. 12 is the total change between the first day and 42 days later. 12 is the average change in the number of children who have bought a defective product between the first day and 42 days later. After 42 days 12 children have bought a defective product.

There is a 60% chance that your math teacher will give a pop quiz tonight, and due to the fact that you have a soccer game, there is a 85% chance you will not be able to do your math homework. You decide that you will not do the homework if the probability of their being a pop quiz and your not doing the home is greater than 80%. What is the probability of there being a pop quiz and your not doing your homework? 0.51 0.34 0.06 0.09

If the density of New York City is 26,403 people per square mile, and the city is 302 square miles, how many people are living in New York City? 7,973,706 people 6,723, 874 people 880,000 people 1,346,395 people

Solve the following system of equations with the Write your answer as an Ordered Pair. on Hele If infinitely many solutions exist, enter ∞ (00). If no solution exists, enter DNE

Solve the equation for all values of x. -3(100x² - 49)(x² - 2) = 0

A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1 hour 12 minutes. What is his speed in still air, and how fast is the wind blowing?

An airplane takes 7 hours to travel a distance of 6468 kilometers against the wind. The return trip takes 6 hours with the wind. What is the rat in still air and what is the rate of the wind?

In the lab, Josh has two solutions that contain alcohol and is mixing them with each other. Solution A is 40% alcohol and Solution B is 10% alcohol. He uses 600 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 20% alcohol solution? Number of milliliters of Solution B:

Answer the questions about the following function. f(x)=3x²-x-2 (a) Is the point (-1,2) on the graph of f? (b) If x=2, what is f(x)? What point is on the graph of f? (c) If f(x) = -2, what is x? What point(s) are on the graph of f? (d) What is the domain of f? (e) List the x-intercept(s), if any, of the graph of f. (1) List the y-intercept, if there is one, of the graph of f.

P is on the interior of ∠QMR. R is on the interior of ∠PMT. T is on the interior ∠RMS. m∠QMP = m∠TMS. Ray MR bisects ∠PMT. If m/QMP = 2x, m∠PMR = 3x + 8, and m∠QMS = x² + 13x - 12, find the m∠QMS.

Nicole bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $450, more than the desktop. She paid for the computers using two different financing plans. For the desktop the interest rate was 9% per year, and for the laptop it was 6% per year. The total finance charges for one year were $300. How much did each computer cost before finance charges?

The medians of a triangle have an intersection point in a triangle called the point of concurrency. This point of concurrency is called the Incenter Circumcenter Inscribed Centroid

Graph the polynomial function f(x) = -2(x - 3)²(x² - 16) using parts (a) through (e). (a) Determine the end behavior of the graph of the function. The graph of f behaves like y = for large values of |x|.

A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 1 cm more than the shorter leg and the hypotenuse 2 cm more than the shorter leg. How long should the sides of the triangle be?

6. What is the equation of a sphere, with center at the origin, that passes through the point (2,3,4)? (x - 2)² + (y - 3)² + (z-4)² = 9 b. (x - 2)² + (y - 3)² + (z - 4)² = 29 c. x² + y² +2²= 9 d. x² + y² + z²= 29

Nick and Adam workout together. Nick weighs 160 pounds and is gaining about 3 pounds per week. Adam weighs 195 pounds and is losing about 2 pounds each week. Write an equation that can be used to find the number of weeks that it will take them to weigh the same amount. a. Equation: b. Solution: c. How much will Nick and Adam weigh?

Suppose a circle has a radius of 21 cm and central angle is 4.5 radians. What is the length of the arc intercepted by the central angle? 1.65 cm 44.1 cm 94.5 cm 22.1 cm

Line segment AB with endpoints A (2, 2) and B (4, 2) is translated 4 units up and 3 units right. Identify the coordinates of the endpoints of the translated line segment. A' (6,-5) and B' (8,-5) A' (5, 6) and B '(7,6) A' (-6, 5) and B' (-8,5) A' (-6, -5) and B' (-8,-5)

Out of 5000 policies for cell phones, a company received 585 claims. The average amount paid on the claims was $80. If the annual cost of the policy was $48, what was a customers expected value of the cell phone insurance policy?

Central park is a rectangle with an area of 840 acres. It is 1/2 a mile wide. One acre is 43,560 square feet. Two people start at the southwest corner at 1:30 pm and start walking round the park in opposite directions. One walks at 9 mph, the other walks at 2 mph. How long until they meet again? It may help to remember that a mile is 5280 feet.

Which is the possible length of the base of a parallelogram If the area is given by 20x^5 23x^4-41x³ +35x^2 + 40x-70 and the height is given by 4x-7 Select the correct answer below: 5x^4+3x³ +5x² + 10 5x^4-3x³-5x² + 10 5x^4+3x³ - 5x² + 10 5x^4 - 4x³ + 10x³ +8x² + 10x - 15 5x^4-4x³-10x³ + 8x² + 10x - 15

A and B are supplementary angles. If m A = (3x – 17)° and m B = (2x - 23)°, then find the measure of B.

State A and state B are among the states with the most remaining drive-in movie screens. State A has 6 more screens than state B, and there are 58 screens total in the two states. How many drive-in movie screens remain in each state?

A commercial fisherman fishes for haddock, sea bass, and red snapper. He is paid $1.25/lb for haddock, $0.75/lb for sea bass, and $2.00/lb for red snapper. Yesterday he caught 500 lb of fish worth $575. The haddock and the red snapper together are worth $320. How many pounds of each fish did he catch?

The volume of a great pyramid is 91,636,272 ft. If the height of the pyramid is 481 feet and the base is a square what is the length and width of the base? 571,536 feet 756 feet 436 feet 481 feet

A boat travels 15 miles upstream in 3 hours. Going downstream, it can travel 45 miles in the same amount of time. Find the speed of the current and the speed of the boat in still water. mph What is the speed of the current? What is the speed of the boat in still water?mph

A new roller coaster at an amusement park requires individuals to be at least 4' 8" (56 inches) tall to ride. It is estimated that the heights of 10-year-old boys are normally distributed with u=54.0 inches and o=4 inches. a. What proportion of 10-year-old boys is tall enough to ride the coaster? b. A smaller coaster has a height requirement of 50 inches to ride. What proportion of 10-year-old boys is tall enough to ride this coaster? c. What proportion of 10-year-old boys is tall enough to ride the coaster in part b but not tall enough to ride the coaster in part a?

A sports ball has a diameter of 19 cm. Find the volume of the ball. Round your answer to 2 decimal places. Volume=

If 1 yard = 3 feet and 1 mile 5,280 feet, how many yards are there in 2 miles? 2,640 yards 3,520 yards 10,560 yards 31,680 yards

Solve the system of equations by graphing. - 3x + 3y = 15 2x2y = - 10 Graph the system of equations and write the solution as an ordered pair. Write "DNE" if the solution does not exist, or use the infinity symbol if the system has infinitely many solutions. If the two equations graph as the same line, plot only one line on the graph. The graph will not be scored correctly if you try to plot two lines on top of each other.

The transformation that has translation and a reflection across a line parallel to the direction of translation is called as parallel reflection glide reflection regular reflection diffused reflection

Solve the inequality and write your answer in interval notation. 20x-8 ≥ 16+ 2x

Aria has a points card for a movie theater. • She receives 85 rewards points just for signing up. • She earns 12.5 points for each visit to the movie theater. • She needs 185 points for a free movie ticket. How many visits must Aria make to earn a free movie ticket?

Mandy is making stationery sets from 16 sheets of paper and 12 envelopes. If she wants all the sets to be identical without any paper or envelopes left over, what is the greatest number of sets Mandy can make? Answer: sets.

You have a cylindrical pond that has a diameter of 30 feet and has a depth of 5 feet. If you need to fill the pond one-quarter of the way up with water and water costs $3.25 per cubic foot, how much will you need to spend to fill the pond? $5,643.70 $11,480.63 $382.67 $2,870.16

Select the values that make the inequality 5k < 45 true. Then write an equivalent inequality, in terms of k. (Numbers written in order from least to greatest going across.)

Select the values that make the inequality y/5≤-8 true. Then write an equivalent inequality, in terms of y. (Numbers written in order from least to greatest going across.) Equivalent Inequality: y

Off-Campus Housing. A university's housing and residence office wants to know how much students pay per month for rent in off-campus housing. The university does not have enough on-campus housing for students, and this information will be used in a brochure about student housing. They obtain a list of the 12,304 students who live in off-campus housing and have not yet graduated and mail a questionnaire to 200 students selected at random. Only 78 questionairres are returned. (a) What is the population in this study? Be careful: about what group do they want information? (b) What is the sample? Be careful: from what group do they actually obtain information? The important message in this problem is that the sample can redefine the population about which information is obtained.

The line segment PQ with endpoints P (4, 3) and Q (8, 3) is rotated 180° clockwise. Find the endpoints of the new line segment. P (4, 3) and Q (8,3) P (4, -3) and Q (8, -3) P'(-4, 3) and Q' (-8, 3) P' (-4,-3) and Q' (-8, -3)

Use the rule of order of operations to simplify as much as possible: - ( − 1)² + 4( − 1) =