For an integer n, consider the open sentences p(n) : n(n + 1)(2n + 1)/6 is even. q(n) : (n + 1)2 (n + 2)2/4 is even. determine whether the biconditionals p(1) ⇔ q(1) and p(2) ⇔ q(2) are true or false.

Write an inequality and solve each problem. for exercises 11 and 12, interpret the solution.

Val and tony get paid per project. val is paid a project fee of $44 plus $12 per hour. tony is paid a project fee of $35 plus $15 per hour. write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.

Which description is represented by a discrete graph? kiley bought a platter for $19 and several matching bowls that were $8 each. what is the total cost before tax? the temperature at 9 a. m. was 83° f and is heating up at an average rate of 6°f per hour. what is the temperature x hours later? juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast. what is the total amount of calories he consumed? a bottle contained 2,000 ml of liquid and is being poured out at an average rate of 300 ml per second. how much liquid is left in the bottle after x seconds?