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Magoosh Although offering a dynamic range simply absent on the harpsichord, the original fortepiano, invented in the early eighteenth century—indeed the name comes from the Italian <i style="font-style: italic;">fortei> ("loud") and piano ("soft")—the fortepiano would now sound dynamically limited compared to our modern grand pianos.
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Bertrand Russell carried on the fledgling tradition of the philosophy of logic in terms of both its goals and in methods, but he had been ultimately no more successful than his predecessor Gottlob Frege in attempts to ground arithmetic in the precepts of formal logic<i>.i>
OG20-语文分册 John: You told me once that no United States citizen who supports union labor should buy an imported car. Yet you are buying an Alma. Since Alma is one of the biggest makers of imports, I infer that you no longer support unions. Harry: I still support labor unions. Even though Alma is a foreign car company, the car I am buying, the Alma Deluxe, is designed, engineered, and manufactured in the United States. Harry's method of defending his purchase of an Alma is to
OG18-数学分册 A total of 20 amounts are entered on a spreadsheet that has 5 rows and 4 columns; each of the 20 positions in the spreadsheet contains one amount. The average (arithmetic mean) of the amounts in row i is $${R}_{i}$$ $$(1 \leq i \leq 5)$$. The average of the amounts in column j is Cj $$(1 \leq j \leq 4)$$. What is the average of all 20 amounts on the spreadsheet?(1) $${R}_{1}+{R}_{2}+{R}_{3}+{R}_{4}+{R}_{5}={550}$$(2) $${C}_{1}+{C}_{2}+{C}_{3}+{C}_{4}={440}$$
OG21 Pretzel Vendor: The new license fee for operating a pretzel stand outside the art museum is prohibitively expensive Charging typical prices. I would need to sell an average of 25 pretzels per hour to break even. At my stand outside City Hall, with about as many passers-by as at the art museum, I average only 15 per hour. So I could not break even running a stand outside the art museum, much less turn a profit. Which of the following, if true, most seriously weakens the pretzel vendor's argument?
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<i zoompage-fontsize="16">Dolomedesi> is one representative species of a number of the world’s semiaquatic spiders, spiders hunting in a thoroughly specialized and unusual environment where it feeds almost exclusively on drowning insects—arthropods without adaptations to liquid environments.
OG17 OG18 TA Each of the following options consists of a high-tech field and a quantity. For each option, select Less than median if, based on the given information, the value of the quantity for that field is less than the median for that quantity over the 9 fields. Otherwise, select <i style="font-style: italic;">Greater than or equal to mediani>
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If a+n=b, what is the value of <i>ni>?

  1. b=5
  2. b+5=a
300难题 If n is an integer, is $$\frac{n}{15}$$ an integer? 1. $$\frac{3n}{15}$$ i s an integer. 2. $$\frac{8n}{15}$$ is an integer.
PREP2012 Pretzel vendor: The new license fee for operating a pretzel stand outside the art museum is prohibitively expensive. Charging typical prices, a vendor would need to sell an average of 25 pretzels per hour to break even. At my stand outside city hall, I average only 15 per hour. Therefore, I could not break even running a pretzel stand outside the art museum, much less turn a profit.Which of the following, if true, most strongly supports the pretzel vendor's argument?
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     In <i zoompage-fontsize="14">Lemon v. Kurtzmani> (1971), the Supreme Court ruled that the state of Pennsylvania could not subsidize religious private schools through its Nonpublic Elementary and Secondary Education Act. Although the funds allocated in the Act were limited to the purpose of reimbursing the schools for textbooks, instructional materials, and the salaries of teachers who did not teach religion, the Court held that since the Act had the result of benefiting primarily Roman Catholic schools, it overextended the government's power on behalf of a religious organization. Later cases have referred to the benchmark three-part test established by <i zoompage-fontsize="14">Lemoni>, which states that a U.S. law violates the Establishment Clause of the Constitution if (1) the purpose of the law is not a secular purpose, (2) the law's primary effect is to inhibit or further the practice of religion, or (3) the law creates “excessive entanglement” between government and religious authority.

     Other states have also faced questions concerning whether or not a government policy or activity violates the Constitution's prohibition on the establishment of religion. For example, in Pawtucket, Rhode Island, the inclusion of a religious symbol among secular holiday decorations in a display sponsored and maintained by the city, at minimal expense, was declared constitutionally permissible. Although the religious symbol was erected on government property, it was both a longstanding tradition in the town and appeared among other, purely secular, symbols of the holiday season; it had gone unchallenged in the courts for more than 40 years. This, however, did not prevent application of the “<i zoompage-fontsize="14">Lemoni> test.” Indeed, as the Supreme Court has interpreted it, the question of establishment of religion is often a matter of perception and context as much as it is of clear divisions. This flexible approach is illustrated by <i zoompage-fontsize="14">Lynch v. Donnellyi> (1984), in which the Court demonstrated that differing circumstances could indeed lead to different results of application of the “<i zoompage-fontsize="14">Lemoni> test.” Therefore, the Court ruled that, in Pawtucket's context, the appearance of a religious symbol amid various secular ones in a government-sponsored display did not violate the Constitution.
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How quickly heat transfers through an insulating layer depends on that insulator's thermal resistance. If two insulators are used together, the inverse of the combined thermal resistance is the sum of the reciprocals of each layer's thermal resistance. If the thermal resistances of two insulators are <i> i>and , what is their combined resistance?
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The diagram above shows the path of a projectile fired from raised platform A at a target at point C, which lies 100 feet from the base of the platform. The projectile fell short, impacting at point B. If <i>AB i>= 90 feet, by what distance, in feet, did the projectile fall short of its target?
OG19-数学分册 A total of 20 amounts are entered on a spreadsheet that has 5 rows and 4 columns; each of the 20 positions in the spreadsheet contains one amount. The average (arithmetic mean) of the amounts in row i is $$R_i$$ ($$1 \leq i \leq 5$$). The average of the amounts in column j is $$C_j$$ ($$ 1\leq j \leq 4$$). What is the average of all 20 amounts on the spreadsheet? (1) $$R_1 + R_2 + R_3 + R_4 + R_5 = 550$$ (2) $$C_1 + C_2 +.C_3 + C_4 = 440$$
If $1,000 will be deposited in a bank account and I is the dollar amount of interest earned from the original deposit, represented as $${I}={1000\{{({1}+\frac{r}{100})^{n}-{1}}}\}$$, and the annual interest rate is r percent, is $$r > 8$$ percent?(1) The deposit earns a total of $210 in interest in the first 2 years.(2) $$({1}+\frac{r}{100})^{2} >{1.15}$$
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In the <i>Surgeon General's Report: The Health Consequences of Smoking: 50 Years of Progress,i> researchers claim that new regulations requiring that any movie depicting smoking receives an adult rating drives rates down further.
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In quadrilateral ABCD above, <i>CD i>is parallel to and is longer than <i>ABi>. What is the area of <i>ABCDi>?

  1. EC=75 meters
  2. BC=3010 meters

 
Information i n the passage suggests that which of the following may be a possible way to eliminate bias in the editing of life stories?
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If <i>ni> is an integer, is n\left |n \right |>3^n ?

(1) n<-1

(2) n=-11
The historical basis for the King Arthur legend has long been debated by scholars. One school of thought, citing entries in the History of the Britons and Welsh Annals, sees Arthur as a genuine historical figure, a Romano-British leader who fought against the invading Anglo-Saxons sometime in the late 5th to early 6th century. The other text that seems to support the case for Arthur's historical existence is the 10th-century <i style="font-style: italic;">Annales Cambriaei>. The latest research shows that the <i style="font-style: italic;">Annales Cambriaei> was based on a chronicle begun in the late 8th century in Wales. Additionally, the complex textual history of the <i style="font-style: italic;">Annales Cambriaei> precludes any certainty that the Arthurian annals were added to it even that early. They were more likely added at some point in the 10th century and may never have existed in any earlier set of annals. This lack of convincing early evidence is the reason many recent historians exclude Arthur from their accounts of post-Roman Britain. In the view of historian Thomas Charles-Edwards there may well have been an historical Arthur, but that a historian can as yet say nothing of value about him. These modern admissions of ignorance are a relatively recent trend; earlier generations of historians were less skeptical. Historian John Morris made the putative reign of Arthur the organizing principle of his history of post-Roman Britain and Ireland. Even so, he found little to say about a historical Arthur. Partly in reaction to such theories, another school of thought emerged which argued that Arthur had no historical existence at all. Morris's <i style="font-style: italic;">Age of Arthuri> prompted archaeologist Nowell Myres to observe that no figure on the borderline of history and mythology has wasted more of the historian's time. Arthur is not mentioned in the Anglo-Saxon Chronicle or named in any surviving manuscript written between 400 and 820. He is absent from Bede's early-8th-century <i style="font-style: italic;">Ecclesiastical History of the English Peoplei>, another major early source for post-Roman history. Some scholars argue that Arthur was originally a fictional hero of folklore—or even a half-forgotten Celtic deity—who became credited with real deeds in the distant past. They cite parallels with figures such as the Kentish totemic horse-gods Hengest and Horsa, who later became historicized. Bede ascribed to these legendary figures a historical role in the 5th-century Anglo-Saxon conquest of eastern Britain. Historical documents for the post-Roman period are scarce. Of the many post-Roman archeological sites and places, only a handful have been identified as "Arthurian," and these date from the 12th century or later. Archaeology can confidently reveal names only through inscriptions found in reliably dated sites. In the absence of new compelling information about post-Roman England, a definitive answer to the question of Arthur's historical existence is unlikely.