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OG19-数学分册
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[img]https://img.kmf.com/kaomanfen/img/gmat/QQ图片20190406151649.png[img]
What is the radius of the circle above with center O?
(1) The ratio of OP to PQ is 1 to 2.
(2) P is the midpoint of chord AB.
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Ready4
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<p class="ng-scope"> A recent underwater survey has found clues in a Mayan cenote, a type of sinkhole, about the development of the Mesoamerican city of Mayapán (1150–1450 CE). The city wall curves to avoid this particular cenote, Sac Uayum, in which research divers found more than a dozen skeletal human remains. Normally cenotes are found within city limits, to provide water, so the location of the cenote and number of remains are notably atypical.p>
<p class="ng-scope"> Researchers are considering various possibilities to explain their findings. A theory that the cenote might have served as a general city cemetery was rejected, because most city residents were interred near or under their homes. A theory of ceremonial human sacrifice was dismissed because the bones were unmarked, showing no indications of rituals or cause of death. A theory of social elitism was eliminated, because shards of other artifacts discovered at the same site were mainly those of plain water pitchers, displaying no indications of wealth or high social rank. So far the most tenable interpretation under consideration is that the cenote may have served as an attempt at contagious-disease containment—a plague pit, kept deliberately beyond the city wall and apart from drinking water supplies. The persistence into modern times of local taboos and superstitions around Sac Uayum, threatening death if the gods are not appeased with rituals before the water is approached, lends further credence to the researchers' theory.p>
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OG18-数学分册
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What is the radius of the circle above with center O ?(1) The ratio of OP to PQ is 1 to 2.(2) P is the midpoint of chord AB?
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PREP07 Test 2
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Company P's cost c, in dollars, of producing n units of a certain product is c = 2.5n + 25,000. What is the greatest number of units that Company P can produce if the cost of producing these units cannot exceed $200,000 ?
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Ready4
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Which of the following statements regarding the author's solution to contain the illicit poaching of sharks is supported by the passage?
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Ready4
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<p>A bag holds 12 balls, each of which is colored white, black, gray, or green. If a person is to select a ball randomly from the bag, is the probability less than that the ball selected will be either white or green?p>
- The probability that the person will select a gray ball is .
- The probability that the person will select a green ball is .
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Ready4
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<p>If x and y are positive integers, is ?p>
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Ready4
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<p>Late fees for the return of a rental item past its deadline are equal to the regular hourly rental rate multiplied by the number of hours past the return deadline, counting only the hours between 9:00 am and 5:00 pm when the shop is open. The rental item does not accrue late fees outside of those hours, though it can be returned to a drop box. If the shop opens 7 days per week, what were the late fees for an item returned late?p>
- The regular hourly rental rate is $12.
- The item was 54 hours late.
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Ready4
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<p>A bag holds 12 balls, each of which is colored white, black, gray, or green. If a person is to select a ball randomly from the bag, is the probability less than that the ball selected will be either white or green?p>
- The probability that the person will select a gray ball is .
- The probability that the person will select a green ball is .
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OG12 OG15
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In the rectangular coordinate system above, if OP < PQ, is the area of region OPQ greater than 48 ?(1)The coordinates of point P are (6,8).(2)The coordinates of point Q are (13,0).
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Quadrilateral PQRS has PQ\\RS and QR\\P5. What is the area of PQRS?1.The coordinates of point P are (2.0), and the coordinates of point R are (8,2).2.The coordinates of point S are (6.0).
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Ready4
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<p>Angela and Maria each earn a different regular monthly salary. Each of them has a different percentage of that salary withheld every month by her employer. Is Angela's monthly salary after withholding greater than Maria's?p>
- Angela's monthly salary after withholding is 20 percent less than her regular salary; Maria's monthly salary after withholding is 25 percent less than her regular salary.
- Angela's monthly salary after withholding is $1000 less than her regular salary; Maria's monthly salary after withholding is $1200 less than her regular salary.
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Ready4
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<p class="ng-scope">If a is an integer, is ?p>
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C13
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<p class="ng-scope" zoompage-fontsize="14"> A new discovery adds another element to the complex relationship between humans and felines in the prehistoric Americas. Archaeologists recently realized that a skeleton discovered at the Illinois Hopewell Burial Mounds had been misidentified as a dog. The bones actually belonged to a bobcat, probably between four and seven months old when it perished almost two thousand years ago. The bobcat burial was striking in its similarity to human interments, and is possibly the first decorated wildcat burial ever discovered.p>
<p class="ng-scope" zoompage-fontsize="14"> In considering the implications of this discovery, the researchers dismissed the possibility that the bobcat had been sacrificed, because the skeleton did not show signs of any trauma. They decided it was not an intrusive burial because it so closely mirrored the style of Hopewell human burials. They also do not believe the cat was venerated as a wild predator, because its grave did not contain the ceremonial adornments present in coyote burial sites. The conclusion the researchers have drawn is that the bobcat had a much closer relationship to the humans who buried it—that is to say, it may have been domesticated, occupying a place within the residential sphere. Such a conclusion, according to the researchers, is further supported by two Hopewellian artifacts, an effigy pipe and a ceramic figurine, adorned with human-bobcat imagery.p>
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Ready4
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<p class="ng-scope" zoompage-fontsize="14"> A new discovery adds another element to the complex relationship between humans and felines in the prehistoric Americas. Archaeologists recently realized that a skeleton discovered at the Illinois Hopewell Burial Mounds had been misidentified as a dog. The bones actually belonged to a bobcat, probably between four and seven months old when it perished almost two thousand years ago. The bobcat burial was striking in its similarity to human interments, and is possibly the first decorated wildcat burial ever discovered.p>
<p class="ng-scope" zoompage-fontsize="14"> In considering the implications of this discovery, the researchers dismissed the possibility that the bobcat had been sacrificed, because the skeleton did not show signs of any trauma. They decided it was not an intrusive burial because it so closely mirrored the style of Hopewell human burials. They also do not believe the cat was venerated as a wild predator, because its grave did not contain the ceremonial adornments present in coyote burial sites. The conclusion the researchers have drawn is that the bobcat had a much closer relationship to the humans who buried it—that is to say, it may have been domesticated, occupying a place within the residential sphere. Such a conclusion, according to the researchers, is further supported by two Hopewellian artifacts, an effigy pipe and a ceramic figurine, adorned with human-bobcat imagery.p>
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Ready4
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<p class="ng-scope"> In eighteenth-century Britain, industrial production and domestic consumption of cheap goods rose precipitously. To understand both the cultural causes and impacts of this trend, historians have increasingly turned to analysis of its incipience in the seventeenth century. According to this method, evidence from material culture—the mass of objects that makes up the setting and the tools of a people's everyday lives—demonstrates that seemingly smaller, slower changes to people's goods and their attitudes about them laid the groundwork for the rapid and sweeping change that followed. The availability of extremely cheap tobacco pipes and sewing thimbles, for example, made these the first truly disposable goods to be widely consumed in Britain. Moreover, households began to change shape as fireplaces and cookware came to accomodate the warmer, more convenient coal that began to replace wood as fuel.p>
<p class="ng-scope"> However, there were new additions to British material culture that can be properly assigned to the eighteenth century. In one example, the widespread acceptance of conspicuous consumption outside of London was slow to materialize. Prior to the Industrial Revolution, excessive material wealth and especially gaudy displays of it were considered to be not only uncouth but also immoral; as average household wealth increased and goods became more widely available throughout the country, consumption for its own sake became normalized in every region.p>
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Ready4
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<p> p>
<p>In the figure above, if the area of square region B is 4, what is the area of triangular region D?p>
- The area of square region C is 9.
- The area of square region A is 13.
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Ready4
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<p>If x is a positive integer, is the value of at most twice the value of ?p>
- and
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Ready4
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<p> p><p>What is the circumference of the circle above with center ?p>
<p>(1) The perimeter of is .p>
<p>(2) The length of arc is .p>
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C13
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<p class="ng-scope"> A recent analysis has yielded information about the decline of megafauna (giant animals) in modern-day New Zealand. Evolutionary biologists compared DNA from fossils of nine species of moa, large flightless birds that lived for millions of years on the country's South Island. The birds' genetic information suggests that their populations were stable for at least 4,000 years before declining with extreme rapidity only after the arrival of humans on the New Zealand archipelago, 600 years ago.p>
<p class="ng-scope"> In reviewing possible causes for this phenomenon, the scientists dismissed the climatic explanation that accounts for the decline of other megafauna because the extinction happened long after other megafauna had disappeared at the end of the last Ice Age. They ruled out sampling bias because a sample selection impact would not have allowed for the different results observed between the nine species. They rejected the possibility of major impacts by disease or volcanic activity because consistent genetic diversity indicates that no population diminishment occurred prior to the arrival of humans to New Zealand. The lack of population decline prior to human arrival suggests that the moa extinction was caused entirely by human hunting—a hypothesis corroborated by the remains of moa at every life stage found in rubbish piles from the earliest decade of human occupation of the islands. Such evidence leads the researchers to believe that the earliest Polynesian arrivals to New Zealand engaged in indiscriminate hunting of moa and moa eggs because their large size made them attractive as easily obtained food.p>
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