If ABCD is a square with area 625, and CEFD is a rhombus with area 500, then what is he area of the shaded region?

Note: Figure not drawn to scale
In a sequence, $$a_n=2*a_{n-1}$$ where n is greater than 1, and an cannot be divisible by 100. What could be the value of $$a_1$$?

Indicate all such values.
Anthropologist Jane Goodall was _____ in her determination to anthropomorphize the animals she observed with such empathy, and so resisted her editors` attempt to recast her descriptions in more dispassionate language.
Although New York exhilarated him, even at first Leger`s reaction to it was not _____: he was initially bothered by its stunning verticality.
While in their consideration of the unique way athletics and academics are combined in United States universities, Markovits and Rensmann do not (i)_____ Gumbrecht`s idealizing vision of the compatibility of college athletics with the intellectual missions of institutions of higher learning, neither do they regard college athletics as (ii)_____: they believe that big-time sports have a rightful place in university life.
The description of humans as having an internal clock is not a (i)_____. Or rather, it is-you do not have a tiny watch in your cerebellum-but it also refers to (ii)_____, a specialized bundle of cells that regulates cyclical processes.
Human-caused disturbances, such as habitat destruction and the introduction of nonnative species, are among the leading causes of plant and animal population declines. Most populations are affected by a combination of adverse human pressures, each of which is in itself insufficient to (i)_____ a population crash. Therefore, studies of population declines that (ii)_____ individual factors and thus (iii)_____ potential interactions may lead to improper management of declining species.
Movement from bottom to top, from poor to rich, was rare, even movement from poor to middle class was (i)_____. Statistical analysis of trends in occupation, income, and property ownership, Thernstrom wrote, "yielded rather (ii)_____ conclusions about social mobility in nineteenth-century America." So we might expect Thernstrom to be suspicious now of claims that differences in class could be (iii)_____ if only the public schools did a better job.
The ability to recognize specific individuals has profound implications for the evolution of complex social behaviors such as reciprocal altruism. Many researchers assumed that recognition of individuals, a phenomenon predominantly observed in laboratory studies of fish, might also operate extensively in free-ranging fish populations, where it could underpin these complex interactions. In fact, evidence of individual recognition in free-ranging fish populations is equivocal. The possibility exists that for many species, individual recognition observed in the laboratory might be an artifact of experimental designs, which enforce prolonged interaction between individuals and which prevent the diluting effects on social structure of immigration into and emigration from the shoal, factors that in nature would erode group stability and prevent the learning of individual identities.
Click on the sentence in the passage that speculates about the effect of human intervention on an observation.
The author would likely agree with which of the following statements about the prevalence of specific individual recognition that occurred in fish in the laboratory studies discussed?
For most of the twentieth century, scholars generally accepted the proposition that nations are enduring entities that predated the rise of modern nation-states and that provided the social and cultural foundations of the state. This perspective has certainly been applied to Korea: most historians have assumed that the Korean nation has existed since the dawn of historical time. In recent years, however, Western scholars have questioned the idea of the nation as an enduring entity. Both Gellner and Anderson have argued, in their studies of European, Latin American, and Southeast Asian cases, that the nation is strictly a modern phenomenon, a forging of a common sense of identity among previously disparate social groups through the propagandizing efforts of activist intellectuals and the homogenizing organizational activities of the modern state. In short, it was the state that created the nation, not the other way around.

Younger Koreanists, with Em prominent among them, have begun to apply this approach to Korea. These scholars, noting the isolated nature of village life in premodern Korea and the sharp difference in regional dialects, suggest that ordinary villagers could not possibly have thought of themselves as fellow countrymen of villagers in other regions. These scholars also note that elites, conversely, often had outward-looking, universalistic orientations, as did aristocracies elsewhere, such as in premodern Europe. Finally, they observe that the very word for "nation" in Korean, minjok, is a neologism first employed by Japanese scholars as a translation of the Western concept and that it was first appropriated by Korean activists in the early twentieth century. They argue, therefore, that a Korean "nation" came into being only after that time.

In short, in the case of Korea we have an argument between "primordialists," who contend that nations are natural and universal units of history, and "modernists," who assert that nations are historically contingent products of modernity. The positions of both groups seem problematic. It seems unlikely that in the seventh century the popes of the warring states of Koguryo, Paekche, and Shilla all thought of themselves as members of a larger "Korean" collectivity. On the other hand, the inhabitants of the Korean peninsula had a much longer history-well over one thousand years-as a unified political collectivity than did the peoples studied by Gellner and Anderson. Not only does the remarkable endurance of the Korean state imply some sort of social and cultural basis for that unity, but the nature of the premodern Korean state as a centralized bureaucratic polity also suggests the possibility that the organizational activities of the state may have created a homogenous collectivity with a sense of shared identify much earlier than happened in the countries of western Europe that provided the model for "modernist" scholarship.
The primary purpose of the passage is to
Select the sentence in the third paragraph that provides information that supports the position of younger Koreanist regarding the creation of the Korean nation.
The author would probably agree with which of the following statements regarding the work of Gellner and of Anderson?
A law has been proposed requiring the cargo boxes of trucks carrying gravel to be covered by a tarpaulin, because vehicles driving close behind open-topped gravel trucks can be damaged by gravel flying off these trucks. The law is unlikely to substantially reduce such damage, however: flying gravel is much less likely to come from the cargo box itself than from the grooves of the tires, in which gravel can become wedged during loading.
Which of the following, if true, provides the strongest support for the argument given?
Many researchers attribute the large number of physiological and behavioral similarities between birds and mammals, which have separate evolutionary histories, to endothermy (a thermoregulatory strategy whereby warm body temperature is maintained through internal heat sources). However, Farmer argues that parental care rather than endothermy is the key to understanding the similarities between mammals and birds. According to Farmer, while endothermy provides an explanation for a few similarities, such as the presence of body insulation, endothermy is just one characteristic among many related to parental care. The two purported advantages of endothermy that have been most frequently cited by researchers are an expanded range of inhabitable environments and the ability to sustain vigorous exercise. But metabolism has to increase substantially (at great energy cost) therefore conferring any significant thermoregulatory advantage in terms of the former, and there is no causal biological linkage to explain why endothermy would be essential to sustain exercise. Farmer argues instead that endothermy evolved as a means to control incubation temperature and that the ability to sustain exercise evolved separately, as a means to improve a parent`s ability to forage and provision its young.
The primary purpose of the passage is to


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