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$$k$$ is a positive even integer.

Quantity A

$$(-1)^{(2k-3)}$$

Quantity B

$$(-1)^{(3k+7)}$$


Which of the following statements are true for all integers $$a$$ and $$b$$?
Indicate all such statements.
$$3n+1$$ is an even number.

Quantity A

$$(-1)^{(n+1)}$$

Quantity B

$$1$$


Which of the following numbers are positive?
Indicate all such numbers.
$$x$$, $$y$$, and $$z$$ are integers such that $$1 \lt x \lt y \lt z$$ and $$xyz=105$$.

Quantity A

$$x+z$$

Quantity B

$$2y$$


In his article, Bazerman highlights Edison' s _________ manipulation of the press, including gifts of stock to friendly reporters.
Those who had once been his ________ within the bureaucracy, responsive to his every string-pulling maneuver, were now distressingly prone to independent judgment, and amicable enough but with an infuriating, vaguely superior manner.
The great divide between science and the humanities appeared during the last decades of the nineteenth century: before then, most people had seen those realms of human thought as (i)________. It would therefore be (ii)________ us to study early- or mid-nineteenth-century science as something completely separate from the art of the time.
In her analysis of Jane Austen' s Mansfield Park, Emily Auerbach plays up the symbolic importance of many details of the story. Although Auerbach' s compelling close reading may (i)________ us of the notion that Austen was the (ii)________ author we would prefer, Auerbach often exceeds the boundaries of (iii)________ to the point of wistful hope.
Much honored for her work in both theater and film, the director was prolific—too much so, according to some critics who thought she sometimes took on projects ________.
The character whose fate dominates the film' s plot appears only briefly onscreen, a bit of narrative slyness that we might welcome as ________ the sensory overload more characteristic of this director.
This is a ________ book: it takes up and defends a position to which the current intellectual climate is generally hostile.
At the core of science fiction is the notion of ________, of asking, "If this phenomenon continues, where will it lead?"
Though acknowledging the unstated assumptions that commentators on her paper had identified, the geologist pointed out that such assumptions were (i)_______ the context of her research, and therefore their existence did not (ii)_______ her conclusions.
Hilton discusses the well-developed capacity among the most influential and talented Victorians for writing on a wide range of topics, thus highlighting their lordly ________ specialization.
Software makers typically write licensing agreements disclaiming responsibility for any negative consequences of using their products, but as computers become integrated into everything from cars to medical devices, that stance will become _______.
Although individuals sometimes smile when they are alone, smiling behavior is most plausibly understood as a form of ________.
In their cool and self-effacing design, Dutt' s new galleries for the museum (i)_______ their contents completely. For example, Dutt is best known for creating effects with natural light, but in these galleries this light is purposefully (ii)_______, as protection of the fragile exhibits is a primary design (iii)________.
Because the term "memoir," unlike the term "autobiography," can suggest subjectivity rather than objectivity, Barton, in choosing to call his book a memoir, (i)_______ the accusation that his story may be (ii)_______. As Barton himself has noted, memoir promises only to give the reader an account of the author' s memory, and no one but the author can therefore (iii)_______.
The firm's startling admission of bookkeeping irregularities called into question the _______ of the oversight that government exercises over the financial health of private businesses.

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