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Magoosh
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In the next decade, a large percentage of municipalities throughout the country will experience power failures if they do not modernize their electrical substations. The vast majority of substations in the country already handle currents between 60% and 80% of their maximum capacity, and currents are expected to rise, perhaps by as much as a factor of 3 in the next decade, because of population increase and the increased demand from both industry and electronics in individual homes. Which of the following is an assumption of the above argument?
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Magoosh
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 Rank those three in order from smallest to biggest.
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Magoosh
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2 - [1 - (1 - [2 - 3] - 2) + 3] =
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Magoosh
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x is betweenNote: Figure not drawn to scale
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Magoosh
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If $$4^{n} + 4^{n} + 4^{n} + 4^{n} = 4^{16}$$ , then n =
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Magoosh
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The Yorgorian people, many of whom still live in the jungle in traditional conditions, eat many meats of jungle mammals, resulting in a cuisine that is high in the protein RX7G, much higher than the cuisine of the industrial nation of Transpraxia. Medical research has shown a high correlation between the protein RX7G and coronary heart disease, and yet, the Yorgorian people have a much lower incidence of such disease than found in Transpraxia. Medical researchers have dubbed this the Yorgorian Paradox. Which of the following, if true, helps to explain the Yorgorian Paradox?
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Magoosh
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Colfax Beta-80 is a rare genetic defect found primarily in people of Scandinavian descent. Over 97% of known carriers of this defect are citizens of, or are direct descendants of immigrants from, Denmark, Norway, and Sweden. People who carry the Colfax Beta-80 defect are at substantially higher risk for contracting Lupus and related autoimmune diseases. Assuming the statements above are true, which of the following can be inferred from them?
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Magoosh
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Every person in a certain group is either a Dodgers fan or a Yankees fan, but not both. The ratio of Yankees fans to Dodgers fans is 5 to 3. If 22 Yankees fans change teams to become Dodgers fans, the ratio of Dodgers fans to Yankees fans will be 1 to 1. How many people are in the group?
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Magoosh
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If $$\frac{3}{4} $$of the number of women working at Company X is equal to $$\frac{2}{3}$$ of the number of men, what fraction of the employees at Company X are women?
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Magoosh
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Judge Brown has shown a marked preference over the past decade for sentencing criminals to make amends for their crimes—for example, by apologizing to the victim—rather than sending them to jail. He argues that the rate of recidivism, or the likelihood that the criminal will commit another offense, is only 15% when he does so, while the average rate of recidivism in the country as a whole is above 35%. Judge Brown thus argues that the criminal justice system is most effective when criminals make amends for their crime, rather than serving time.
Which of the following, if true, most strongly supports Judge Brown's claim?
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Magoosh
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What is the perimeter of ABCDE?
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Magoosh
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$$If{{8-x}\over{x+1}} = x, then x^{2} + 2x - 3 =$$
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Magoosh
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If f(x) = $$12-{x^{2}\over{2}}$$and f(2k) = 2k, what is one possible value for k?
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Magoosh
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 In the coordinate system above, which of the following could be the equation of line p?
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Magoosh
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The prevalence of a simian virus has been directly correlated with population density in gorillas. Recent fieldwork in the Republic of Dunaga, based on capturing gorillas and testing the gorillas for the virus, has shown that Morgania Plain gorillas are more than twice as likely to be infected than are the Koluga Mountain gorillas. Nevertheless, the population density of Koluga gorillas is significantly greater than that of Morgania gorillas.
Which of the following could best account for the discrepancy noted above?
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Magoosh
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Five years ago, the town of Bayside, in the Katonic River Valley, had catastrophic flooding one spring, and consequently, most insurers now refuse to write flood insurance for houses in Bayside. The town of Dryadia, in the Phemptic River Valley, is much like Bayside in its proximity to a similar river at an almost identical point in the river valley. We can conclude that the only reason the same insurers do not write flood insurance for houses in Dryadia either is its similarity to Bayside in terms of where it is situated in the river valley. Which of the following, if true, would most seriously undermine the argument?
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As to when the first people populated the American subcontinent is hotly debated. Until recently, the Clovis people, based on evidence found in New Mexico, were thought to have been the first to have arrived, some 13,000 years ago. Yet evidence gathered from other sites suggest the Americas had been settled at least 1,000 years prior to the Clovis. The “Clovis first” idea, nonetheless, was treated as gospel, backed by supporters who, at least initially, outright discounted any claims that suggested precedence by non-Clovis people. While such a stance smacked of fanaticism, proponents did have a solid claim: if the Clovis peoples crossed the Bering Strait 13,000 years ago, only after it had become ice-free, how would a people have been able to make a similar trip but over ice? A recent school of thought, backed by Weber, provides the following answer: pre-Clovis people reached the Americas by relying on a sophisticated maritime culture, which allowed them to take advantage of refugia, or small areas in which aquatic life flourished. Thus they were able to make the long journey by hugging the coast as far south as to what is today British Columbia. Additionally, they were believed to have fashioned a primitive form of crampon so that they would be able to dock in these refugia and avail themselves of the microfauna. Still, how such a culture developed in the first place remains unanswered.
The Solutrean theory has been influential in answering this question, a fact that may seem paradoxical--and startling--to those familiar with its line of reasoning: the Clovis people were actually Solutreans, an ancient seafaring culture along the Iberian peninsula, who had--astoundingly given the time period--crossed into the Americas via the Atlantic ocean. Could not a similar Siberian culture, if not the pre-Clovis themselves, have displayed equal nautical sophistication? Even if one subscribes to this line of reasoning, the “Clovis first” school still have an objection: proponents of a pre-Clovis people rely solely on the Monte Verde site in Chile, a site so far south that its location invites yet another question: What of the 6,000 miles of coastline between the ice corridor and Monte Verde? Besides remains found in network of caves in Oregon, there has been scant evidence of a pre-Clovis peoples. Nonetheless, Meade and Pizinsky claim that a propitious geologic accident could account for this discrepancy: Monte Verde was located near a peat bog that essentially fossilized the village. Archaeologists uncovered two wooden stakes, which, at one time, were used in twelve huts. Furthermore plant species associated with areas 150 miles away were found, suggesting a trade network. These findings indicate that the Clovis may not have been the first to people the Americas, yet more excavation, both in Monte Verde and along the coast, must be conducted in order to determine the extent of pre-Clovis settlements in the Americas.
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Magoosh
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In saying that environmental regulation in the United States is more “prescriptive,” the author of the passage implies that
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Originally, scientists predicted small asteroids to be hard and rocky, as any loose surface material (called regolith) generated by impacts was expected to escape their weak gravity. Aggregate small bodies were not thought to exist, because the slightest sustained relative motion would cause them to separate. But observations and computer modeling are proving otherwise. Most asteroids larger than a kilometer are now believed to be composites of smaller pieces. Those imaged at high-resolution show evidence for copious regolith despite the weak gravity. Most of them have one or more extraordinarily large craters, some of which are wider than the mean radius of the whole body. Such colossal impacts would not just gouge out a crater—they would break any monolithic body into pieces. In short, asteroids larger than a kilometer across may look like nuggets of hard rock but are more likely to be aggregate assemblages—or even piles of loose rubble so pervasively fragmented that no solid bedrock is left. The rubble hypothesis, proposed decades ago by scientists, lacked evidence, until the planetologist Schumaker realized that the huge craters on the asteroid Mathilde and its very low density could only make sense together: a porous body such as a rubble pile can withstand a battering much better than an integral object. It will absorb and dissipate a large fraction of the energy of an impact; the far side might hardly feel a thing. At first, the rubble hypothesis may appear conceptually troublesome. The material strength of an asteroid is nearly zero, and the gravity is so low one is tempted to neglect that too. The truth is neither strength nor gravity can be ignored. Paltry though it may be, gravity binds a rubble pile together. And anybody who builds sandcastles knows that even loose debris can cohere. Oft-ignored details of motion begin to matter: sliding friction, chemical bonding, damping of kinetic energy, etc. We are just beginning to fathom the subtle interplay of these minuscule forces. The size of an asteroid should determine which force dominates. One indication is the observed pattern of asteroidal rotation rates. Some collisions cause an asteroid to spin faster; others slow it down. If asteroids are monolithic rocks undergoing random collisions, a graph of their rotation rates should show a bell-shaped distribution with a statistical “tail” of very fast rotators. If nearly all asteroids are rubble piles, however, this tail would be missing, because any rubble pile spinning faster than once every two or three hours fly apart. Recently, several astronomers discovered that all but five observed asteroids obey a strict rotation limit. The exceptions are all smaller than about 150 meters in diameter, with an abrupt cutoff for asteroids larger than 200 meters. The evident conclusion—that asteroids larger than 200 meters across are rubble piles—agrees with recent computer modeling of collisions. A collision can blast a large asteroid to bits, but those bits will usually be moving slower than their mutual escape velocity (the lowest velocity that a body must have in order to escape the orbit of a planet). Over several hours, gravity will reassemble all but the fastest pieces into a rubble pile.
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Magoosh
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The reason that graphs of asteroid rotation rates lack the expected statistical tail associated with high rotational rates is that
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