A rectangular rug is a third as long as it is wide. If its area is 45 square feet, then its dimensions in feet are

In the -coordinate plane, which of the following points must lie on the line for all values of ?

In the -plane, what is the slope of the line ?

In the -plane, what is the slope of the line ?

In a rectangular coordinate system, point lies on the -axis and has coordinates . If point lies on the negative -axis and the area of the triangle formed by connecting the origin, , and is , what is the -coordinate of ?

Many speech disorders do not involve physical disabilities, but rather are the result from minor neurological dysfunctions.

One pocket of a backpack contains only pencils, pens, and highlighters. If a writing utensil is selected at random from this pocket, what is the probability that the chosen writing utensil is either a pen or a highlighter?

(1) The probability of choosing a highlighter is .

(2) The probability of choosing a pencil is

The figure above indicates the Quadrant labels for a rectangular coordinate system. In which two quadrants does the equation lie if ?

If lines and are perpendicular to each other, is the slope of line negative?

(1) line passes through the point

(2) the slopes of lines  and are negative reciprocals of each other

An early participant in the Scientific Revolution, Francis Bacon’s most significant works are to methodological empiricism what Newton’s Mathematical Principles of Natural Philosophy is to classical mechanics.

Many car dealers provide leasing services that allow an individual uninterested in purchasing a car to be able to use one when needed and to put an initial payment toward a purchase should the consumer later decide to buy the car once the contract has expired.

Despite the fact that they are selling their microprocessors at a deficit, Computers North America will further lower their retail prices next month. The company expects the price drop to increase sales by twenty percent. Because the revenue from those additional sales will more than compensate for the revenues lost from the price drop, the company thinks that their microprocessors will turn a profit as soon as next year.

Which of the following, if true, provides the most support for Computers North America’s expectation of making a profit after further lowering the price of their microprocessors?

Vast areas of suburban sprawl, sustained and expanded when urban housing is too expensive, damage the environment. Analysts therefore urge real estate developers to construct denser, taller urban housing to increase its supply and lower its cost.

To receive building permits in most major cities, real estate developers must show that the buildings they construct do not obstruct or transform existing city skylines.

The statements above, if true, best support which of the following conclusions?

Regional Manager: Several of our stores have recently implemented a new method of taking daily inventory that uses less of our warehouse employees’ time by using more automated processes than the previous system. It is thus clear that the new, more automated system better optimizes these stores’ use of human resources than the older method did.

Which of the following, if true, most strengthens the argument above?

Keeping with the findings of most contemporary economic analysis of investment and savings programs available to the public, standard savings accounts have less financial benefit than do mutual fund investments managed by professionals and more of a quality they believe is detrimental to long-term savings growth.

Metamorphosis, a period within the lifecycles of certain species of animal, a process in which changes in the organism and its behavior coincide allowing the immature animal that has survived its environment to reach a stage of reproductive maturity.

August is typically the weakest month for purchases of heavy jackets, but purchases this August, even when compared with purchases in past Augusts, constituted an exceptionally low percentage of all garment purchases.

The 24-year-old novelist and poet released her latest novel all over the United States, Canada, and Great Britain last year, earning glowing reviews in both New York as well as Vancouver for her exceptional stylistic grace, and she is expecting to return to writing once she has completed her book tour.

The few things known about the Eleusinian mysteries come from ancient sources who either participated in the cult’s rites and secrets or merely pretended to be privy to such things.

Swifterbant pottery, as with the La Hoguette people, features pointed bases, although the lack of a spatial coincidence between these two pottery traditions makes direct influence difficult to establish.