If the perimeter of the isosceles right triangle shown is 1 + √2 , what is the area of the triangular region?

The sequence a1, a2, . . . , an, . . . is defined by a1 = 1, a2 = 1, and an = a(n-1)+a(n-2) for all integers n ≥ 3.Which of the following values are terms of the sequence? Indicate all such values.

What is the remainder when 3^35 is divided by 5?

The average (arithmetic mean) of the weights of a father and mother is twice the average of the weights of their 4 children. If the average weight of the 6 family members is 128 pounds, what is the average weight,in pounds, of the 4 children?

The dollar amount of losses due to financial fraud was what percent greater, to the nearest whole percent,than the dollar amount of losses due to virus attack?

Which of the following is closest to the amount by which the average (arithmetic mean) dollar amount of losses due to the actions cited exceeds the median dollar amount of the losses?

For the seven actions listed in the table, what is the range of the numbers of companies that cited the action?

In a group of 10 people, the median height is 70 inches, the average (arithmetic mean) height is 70.5 inches, and the range of the heights is 12 inches. If an additional person who is 74 inches tall joins the group, which of the three statistics must change?

P=23^25-23. What is the units digit of P?

The weekly sales commission at Company X is 2 percent of the first $2,000 of weekly sales plus 15 percent of the weekly sales in excess of the first $2,000. The weekly sales commission at Company Y is 5 percent of the first $2,000 of weekly sales plus 10 percent of the weekly sales in excess of the first $2,000. In a given week, what is the amount of weekly sales at Company Y that would earn the same weekly sales commission as $5,000 in weekly sales at Company X?

Joshua Gisemba Bagaka found that the pedagogical results of group projects and other engaged learning activities in Kenyan mathematics classroom were _____; such activities, then, may not be the best way of improving mathematics education.

Her _________ should not be confused with miserliness; as long as I have known her, she has always been willing to assist those who are in need.

Instead of demonstrating the _____ of archaeological applications of electronic remote sensing, the pioneering study became, to some skeptics, an illustration of the imprudence of interpreting sites based on virtual archaeology.

Appreciating that mathematical notation presents a major roadblock to many students, some well-meaning educators (i)_____ them by (ii)_____ the use of notation; but this is an unfortunate detour, since practice with notation (iii)_____ the important skill of reasoning.

Excessive focus on what might have been can cause in us feelings of restlessness and regret, but some scientists are beginning to think that fancying an alternative reality might have _____ effects as well.

The notion of film producers as the ogres of the movie business has proved an (i)_____ one, but according to The Producers by Tim Adler, it is not always grounded in reality. Attacking what he calls the “auteur myth”—the idea of the director as the single purveyor of art in an industry otherwise peopled with (ii)_____—he places at the heart of his book an image of the producer, not the director, as the primary (iii)_____ force in the development and production of a movie.

Barker’s account of how mores have evolved over time is illuminating. It reveals as (i)_____ and (ii)_____ some values that have often been regarded as (iii)_____, while uncovering other values that do indeed seem to be universal.

For decades, economic ideas have been (i)_____ political purpose. Economists, for example, have peddled their theories as a way of gaining public prominence or political appointment, while politicians have (ii)_____ economic doctrines as possible solutions to the nation’s social problems.

The author’s best-selling book on Virginia Woolf is not (i)_____ treatment of her subject; on the contrary, it presents (ii)_____ portrait of the novelist, faults and all.

AI only BII only CIII only DI and III EII and III

Apparent flaws in the sculptor’s work have not _____ its respectful reception by most modern critics.

Convinced of the gravity of her poetry, Voigt must have found the reviews of her most recent collection (i)_____ reading: one amused reviewer thought that it was unrecognizable as poetry but decidedly (ii)_____.

23.Which of the following statements about Nevelson’s sculptures can be inferred from the passage?

Contrary to those who fear the impact of invasive species on native plants, the biologists contend that the threat posed to biodiversity by nonnative species is often (i)_____. For instance, a study of garlic mustard, a nonnative plant now thriving in Minnesota’s oak forests, found that garlic mustard abundance in forest plots was not (ii)_____ the number of other plant species there.

Viewing people as 'social atoms' that obey rather simple rule (which are not unlike the laws of physics), one may discover certain (i)_____. Take, for example, the way channels emerge when people move in crowds. In the midst of initially (ii)_____ movements, one person begins to follow another—in an effort to avoid collisions—and streams of movement emerge. As more people join in, there is greater pull on others to join the flow, and the particular channels become (iii)_____.

Memory-prompt technology such as online birthday reminders does more than enhance our recall abilities; it induces us to (i)_____ ever more behaviors to automated processes. Witness the (ii)_____ a program that allows us to create computer greeting cards for the entire year in one sitting.

The (i)_____ nature of the candidate’s comments is calculated. As a long-standing target of critics who regard him as radical, he understands that he needs to be as (ii)_____ as possible if he is to overcome those critiques and appear as a (iii)_____ leader.

The meandering journey across the soundscape of the Internet can be (i)_____. Listening to music in this medium often generates anxiety fulfillment: no sooner has one experience begun than the thought of what else is out there intrudes. Putting an old-fashioned disk and letting it play to the end restores a measure of (ii)_____.

In order to cultivate new repertoire, the music industry is providing a hearing for previously _____ composers.

Marie Tharp’s mapping of the ocean floor, which was based on a mass of previously unanalyzed measurements of ocean depth, did not depend on (i)_____ but on (ii)_____: she (iii)_____ the sea floor’s contours by marring the voluminous but incomplete data with her knowledge of geology.