John thunderhawk is making furniture. he finds that to design a particular cabinet and set up his shop to produce it costs $1,800. then the labor and supplies to build each one are $400. so his cost, y, for x items is represented by y=1,800 + 400x. he can sell the cabinets for $600. so his revenue, y, is represented by y=600x. the solution to this system of equations is his break-even point, the point beyond which he starts making a profit. how many cabinets must he sell to break-even?

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true

Which is the focus of a parabola with equation y2=4x

The coverage of a base station of a telecommunication company forms a disk with a radius of (kilometers). let be the distance of a cellphone from a base station. assume that the location of cellphones in use are randomly uniformly distributed within the disk. calculate the mean and variance for the random variable.