If the product of 7 consecutive integers is equal to the median of the integers, what is the least of the 7 integers?
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A box at a yard sale contains 3 different china dinner set, each consisting of 5 plates. A
customer will randomly select 2 plates to check for defects. What is the probability that the 2 plates
selected will be from the same dinner set?
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If n and m are positive integers and m is a factor of $$2^{6}$$, what is the greatest possible number of integers that can be equal to both 3n and $$\frac{2^{6}}{m}$$?
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If n is a positive odd integer and $$k=n^{3}+2n$$, what is the value of $$ (-1)^{k}-(-1)^{k+1}$$?
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Although many hypotheses have been proposed to explain why some plant communities are more susceptible than others to invasion by nonnative species, results from field studies have been inconsistent and no general theory of invasibility has yet emerged. However, a theory based on fluctuating resource availability could integrate most existing hypotheses and successfully resolve many of the apparently conflicting and ambiguous results of previous studies. The suggested theory is that a plant community becomes more susceptible to invasion whenever there is an increase in the amount of unused resources.
The diversity in the range of resource-release mechanisms could partly explain the absence of consistent ecological correlates of invasibility. In particular, the theory predicts that there will be no necessary relationship between the species diversity of a plant community and its susceptibility to invasion, since near-complete exploitation can each occur in both species-rich and species-poor communities. Though Lonsdale found a positive association between species richness and invasion, this may arise from the tendency of diverse plant communities to be nutrient poor and therefore more responsive to the effects of human-caused influxes of nutrients.
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The passage is primarily concerned with
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An Irish newspaper editorial encouraging women to participate in the non-importation movement launched in Ireland in 1779 appears consistent with a perception that the political use of the consumer boycott originated in North America and spread eastwards across the Atlantic to Ireland. This is a view that most historians have concurred with. For example, T.H. Breen argued that the consumer boycott was a brilliantly original American invention. Breen did acknowledge that a few isolated boycotts may have taken place in other countries. However, Mary O'Dowd argues that from the late seventeenth century, Irish political discourse advocated for the nonconsumption of imported goods and support for home manufactures by women in ways that were strikingly similar to those used later in North America.
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The passage is primarily concerned with
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