American-Public-University-System MATH 110 Homework Help (3)

Get help for American Public University System MATH 110 Homework help. 1. Give an example in everyday life of direct variation and write an equation as a mathematical model. 4. The pressure exerted by a certain liquid at a given point varies directly as the depth of the point beneath the surface of the liquid. The pressure at 50 feet is 19 pounds per square inch. What is the pressure at 160 feet? 5. The stopping distance d of a car after the brakes are applied varies directly as the speed r. If a car travelling 30 mph can stop in 40 ft, how many feet will it take the same car to sto when it is travelling 120 mph? 7. Last summer he price of gasoline changed frequently. One station owner noticed that the number of gallons he sold each day seemed to vary inversely with the price per gallon.

8. Every year on earth last day, a group of volunteers pick up garbage at hidden falls park. The time it takes to clean the beach varies inversely with the number of people picking up garbage last year, 36 volunteers took 4 hours to clean the park. If 59 volunteers come to pick up garbage this year, how long will it take to clean the park? 9. The weight that can be safely supported by a 2-by 6 inch support beam varies inversely with its length. A builder finds that a support beam that is 8 feet long will support 800 pounds. Find the weight can be safely supported by abeam that is 16 feet long. 10. The amount of time it take to fill a whirlpool tub is inversely proportional to the square of the radius of the pipe used to fill it. If a pipe of radius 1.5 inches can fill the tub in 5 minutes, how long will it take the tub to fill if a pipe of 3 inches is used?

8. Complete the square for the expression and then factor the resulting perfect square trinomial. 10. Add the proper constant to the binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial. 11. Find the perfect square trinomial whose first two terms are x2-1/5x, and then factor the trinomial. 12. Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. 19. The sides of the box shown are labelled with the dimensions in feet. What is the value of x if the volume of the box is 64 cubic feet? 2. Suppose that a basketball player has a vertical leap of 2 feet 3 inches find the hang time for this leap. 1. use the discriminate to find what type of solutions the equation has. Do not solve the equation. 2. use the discriminate to find what type of solutions the equation has.

3. use the discriminate to find what type of solutions the equation has. 4. solve by the quadratic formula and simplify. 6. solve the equation. 13. Write a quadratic equation having the given solutions. 8200x- 83402, where p is measured in dollars and x is the number of mountain bikes made per day. Find the number of mountain bikes that must be made each day to produce a zero profit for the company. 2. The time a basketball player spends in the air when shooting a basket is called the”hang time”. 4t22.suppose that a basketball player has a vertical leap of 3 feet 7 inches. Find the hang time for this leap. 4. Find the perfect square trinomial whose first two terms are x2-1/6x, and the factor the trinomial. 5. Write a quadratic equation having the given solutions. 6. Solve by the quadratic formula. 7. Solve the equation by completing the square. 8. A security fence encloses a rectangular are on one side of a park in a city.

Three sides of fencing are used, since the fourth side of the area is formed by a building. The enclosed area measures 2178 square feet. Exactly 132 feet of fencing is used to fence in three sides of this rectangle. What are the possible dimensions that could have been used to construct this area? 9. Solve the equation by completing the square. 13. Solve by the quadratic formula. 14. Solve the equation by using the square root properly. 15. Use the discriminate to find what type of solutions the equation has. Do not solve the equation. 17. Simplify the equation. 18. Solve by the quadratic formula. 20. Solve by the equation formula and simplify. 22. Solve by the equation by any method. 23. Simplify the equation. 24. Simplify the equation. 1. Solve for the variable specified. Assume that all other variables are nonzero. 2. Solve for the variable specified. Assume that all other variables are nonzero.