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When the positive integer $$k +2$$ is divided by $$7$$, the remainder is $$3$$. What is the remainder when $$k$$ is divided by $$7$$ ?
The operation $$\triangle$$ is defined for all numbers $$x$$ and $$y$$ by $$x \triangle y=(x+y)^2$$

Quantity A

$$r \triangle s$$

Quantity B

$$r \triangle (-s)$$


A piece of metal is in the shape of a solid, right circular cylinder with diameter $$10$$ millimeters and height $$h$$ centimeters. The cylinder will have some of its material removed so as to leave a smaller solid, right circular cylinder with diameter $$6$$ millimeters and height $$h$$ centimeters.

Quantity A

The volume of the smaller cylinder

Quantity B

The volume of the material removed


$$y$$ is an integer between $$6,000$$ and $$15,000$$

Quantity A

The thousands digit of $$y$$

Quantity B

$$4$$


A sewing basket contains several pieces of ribbon, each of which is either $$8$$ inches long or $$13$$ inches long. The total length of all of the pieces is $$100$$ inches.

Quantity A

The number of pieces of ribbon in the basket that are $$8$$ inches long

Quantity B

The number of pieces of ribbon in the basket that are $$13$$ inches long


A string of length $$n$$ inches was cut into equal pieces of length $$\frac{3}{2}$$ inches, and no string remained after the cutting was completed. If $$n$$ is a positive integer, what is the least possible value of $$n$$?
Which of the following is the graph of the inequality $$|x + 1| ≤ 3$$ ?


Greg' s income last year was $$$45,000$$. The graph above shows the distribution of his income, by income source. Based on the information given, which of the following statements about his income last year are true?
Indicate all such statements.
Blood and Wolfe' s relative resources theory has been cited as an explanation for the well-documented finding that women have typically performed and continue to perform far more domestic labor in their households than men do. This theory holds that power in a family accrues to the spouse contributing the most resources to the household. Such power can be used to withdraw from monotonous housework. Where husbands specialize in income generation, while wives work part-time or are unpaid homemakers, the theory might explain the domestic division of labor. Yet Atkins and Boles found that wives who earn more than their husbands often do most of the domestic labor in their households, and Brayfield found that women whose husbands are unemployed also do most of the housework.
The findings of Atkins and Boles suggest which of the following?
It can be inferred from the passage that the relative resources theory would predict which of the following?
In his essay "Classical Jazz and the Black Arts Movement," Lorenzo Thomas argues that the Black Arts movement of the 1960s grew out of the Harlem Renaissance of the 1920s, during which African American artists produced work consciously grounded in their cultural heritage. Both movements hoped to advance African Americans' social position through cultural expression. Yet Black Arts movement scholar Larry Neal pronounced the Harlem Renaissance, which produced enduring works in many genres, "essentially a failure." According to Thomas, Neal' s statement reflects a difference in the two movements' political and aesthetic philosophies. Whereas leaders of the Harlem Renaissance championed the cause of African Americans by demonstrating their achievements in "high art" as defined by European tradition, the Black Arts movement' s leaders celebrated an African American aesthetic conceived as openly oppositional to that tradition. This is evident in the status held by jazz within the two movements. Commentators of the Harlem Renaissance cited, as evidence of the sophistication of jazz, the adaptation of jazz elements by European classical composers such as Antonin Dvorák. Some hoped that jazz musicians themselves would develop jazz into forms resembling European orchestral music. By contrast, asserts Thomas, Black Arts movement participants celebrated jazz as a musical form grounded in African Americans' historical experience that could not be evaluated using European aesthetic values.
The author of the passage introduces the subject of jazz primarily in order to
It can be inferred from the passage that, according to Thomas, the leaders of the Harlem Renaissance would probably agree with which of the following statements about the European artistic tradition?
It can be inferred from the passage that proponents of the Black Arts movement did not view jazz in the same way as the commentators of the Harlem Renaissance primarily because proponents of the Black Arts movement
This passage is adapted from material published in 1996.
Hip-hop music has emerged as a powerful African American cultural form addressing a broad spectrum of social issues. Yet hip-hop' s breadth is belied by hip-hop criticism, which has focused primarily on controversies about the antisocial content of some of its lyrics. Such discussions have almost preempted more sophisticated critical analysis. For example, little has been written about hip-hop' s relationship to its artistic precursors. Critics might examine parallels between hip-hop and the Black Arts Movement of the 1960s. Both movements produced art expressing the alienation felt by many African Americans. Furthermore, like the Black Arts Movement, hip-hop artists have collided with the profit-oriented nature of institutions of cultural production. Black artists continue to face restrictive conventions that the writers Zora Neale Hurston and Langston Hughes faced in the Harlem Renaissance of the 1920s: commercial publishers' tendency to favor particular themes, subjects, or treatments for Black artists' work. The Black Arts Movement dealt with this dilemma by seeking outlets for autonomous cultural production, including theater companies and publishing houses. Hip-hop is similarly threatened by mainstream commercialism. As Palmer notes, many commercialized hip-hop lyrics are light and innocuous. Committed hip-hop artists have therefore sought out alternatives to mainstream commercial venues.
The primary purpose of the passage is to
The passage suggests which of the following about "committed hip-hop artists" ?
At first glance, the place of Henry James among Modernist writers remains somewhat problematic. His dozen or more novels and scores of short stories obey the classic rules. Unlike Modernist novels, whose focus on characters' inner lives provoked critics' complaints that "nothing happens," James' s plots move forward at a relentless pace, with denouements occurring where convention has put them, at the end. Their dialogue, if at times high-flown, is naturalistic; their author appears as an all-knowing presence. Despite these literary orthodoxies, though, James' s works, especially his late novels, show something amazingly new and unexpected. His explorations of consciousness shy at no complexity and lend his otherwise conventional novels the focus on interiority that characterizes the Modernist project in fiction.
The passage suggests that compared to Modernist novels, novels by Henry James tend to

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