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Looking back on a project that they had approached with both great________ and considerable aspirations, they were amused to recognize that neither the fears nor the hopes had been at all realistic.
Recent discoveries suggest that mathematical techniques developed by ancient Babylonian astronomers________ those of medieval European scholars: Babylonian trapezoid procedures can be viewed as a concrete example of graphical methods devised by fourteenth-century philosopher Nicole Oresme.
Which of the following would it be most useful to establish in order to evaluate the argument?
Few topics engender more controversy among musicologists than the "authentic" performance of music of earlier periods. At issue are claims made by partisans of the early music movement that their performances represent a re-creation of history and that the historical information on which such performances are based provide a sure foundation for performances that accurately reflect the composer's original intentions. Taruskin has been the most powerful critic of this view, arguing that so-called authentic performances do not reveal any concrete truth of how the music of earlier times "should" sound. Instead, these performances reflect our contemporary taste for this repertoire's sound and offer a twentieth-century interpretation that, while based on certain historical facts, is encumbered with the unconscious biases inherent in any interpretive endeavor.

Yet, despite their flaws, historical investigations and interpretations remain an indispensable part of music scholarship. Indeed, Taruskin is not engaged in a wholesale crusade against the early music movement or against performance-practice research; rather, he is calling for intellectual honesty. His arguments are important because they help clarify the thin line between historical facts, on the one hand, and, on the other, musical interpretations based not only on those facts but also on imaginative, well-founded speculation.
The passage suggests that Taruskin would probably agree with which of the following criticisms regarding the partisans of the early music movement?
The passage indicates that Taruskin and the partisans mentioned would both agree with which of the following statements regarding "authentic" performances of early music?
Which of the following best describes the function of the highlighted sentence?
x and y are different positive integers

$$x^{2}y$$=180

Quantity A

x

Quantity B

y


In the xy-plane, lines l and m, with equations y+x+r=0 and y-x+s=0, respectively, intersect at the point (1, 2).

Quantity A

r+s

Quantity B

0


Quantity A

The area of a rectangle with a perimeter of 32

Quantity B

The area of a rectangle with a perimeter of 52


Amy wants to build a fence around her level, circular garden. If the maximum distance between any two points in the garden is 6 feet, what length of fence, in feet, will form the border of the garden?
Solution A contains x percent alcohol by volume. Solution B contains y percent alcohol by volume. If 3 liters of solution A are mixed with 5 liters of solution B to yield 8 liters of solution C, what percent of the volume of solution C is alcohol?
If $$8^{x}=16$$, then $$x$$=
z > 0

Quantity A

20% of z

Quantity B

10% of 2z


Of Amy`s four sisters, two are taller than Amy and two are shorter than Amy.

Quantity A

The average (arithmetic mean) height of Amy`s four sisters

Quantity B

Amy`s height




Quantity A

The length of line segment DF

Quantity B

12


Quantity A

$$((\frac{1}{10})^{10})^{10}$$

Quantity B

$$\frac{1}{10^{(10^{10})}}$$




A researcher recorded the amount of time, rounded to the nearest second, that it took each of 14 people to complete a certain task. The recorded times are summarized in the boxplot shown. Which of the following statements must be true?

Indicate all such statements.


The scatterplot shows the amount of time, in minutes, that it took a team of two people to mow each of 10 lawns, including a lawn with area 4,100 square feet. Also shown is a trend line that is used to predict the amount of time, in minutes, that it will take the team to mow a lawn based on its area. The amount of time that it took the team to mow the lawn with area 4,100 square feet is approximately what percent less than the amount of time predicted by the trend line?
Approximately how many days will it take for a space vehicle to travel $$5.5(10^{7})$$ kilometers at an average speed of 10 kilometers per second?

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