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For which of the following functions f(x) is the relation f(f(x)) = f(f(f(f(x)))) NOT true for at least some values of x not equal to zero?
If f is the function defined for all k by f(k) = $$\frac{k^5}{16}$$, what is f(2k) in terms of f(k)?
If f is the function defined by $${f}({x})={x}^{2}({1}-{x})^{2}$$ for all x, then f(1-x) =
200301 If f(x)=$$x ^ { 2 } * ( 1 - x ) ^ { 2 }$$, what is f(1-x)?
PREP07 Test 1 For which of the following functions is f(a + b)=f(a) + f(b) for all positive numbers a and b ?
190113 If f(x)=f(1-x), f(1+x)=?
190407 f(x)=$$x^{2}$$$$(1-x)^{2}$$. f(1-x)=?
If the function f is defined by $${f}({x})={x}^{2}+\frac{1}{x^2}$$ for all nonzero numbers x, then $$f(-\frac{1}{x})=$$
Over a period of 5 academic years from Fall 1999 through Spring 2004, the number of faculty at a certain college increased despite a decrease in student enrollment from 5,500 students in Fall 1999.In the given expressions, F and S represent the percent change in the number of faculty and students, respectively, over the 5 academic years,and R represents the number of students per faculty member in Fall 1999. The percent change in a quantity X is calculated using the formula$${\frac{X_{new}-X_o{ld}}{{x}_{o}{ld}}}(100)$$Select the expression that represents the number of faculty in Fall 1999, and select the expression that represents the number of students per faculty member in Spring 2004. Make only two selections, one in each column.
C13

     As understandings of the solar life cycle developed, scientists were confronted by a nagging question: If, early in the history of Earth's planetary formation, the sun was significantly dimmer than it is now, how do we explain evidence for the presence of liquid water on the planet's surface during this period? It is understood that during the early Earth period our sun would have shone at about 70 percent of its current luminosity, significantly below the level necessary to sustain the presence of liquid oceans on the planet's surface. But paleontological and geological records indicate with substantial certainty that liquid water was present on the Earth's surface during this time. If scientific models of solar development and the early geological history of Earth are to be reconciled, there must have been some other, intervening factor affecting surface temperatures during this early period of geologic history.

     Our method of reconciling these two apparently contradictory bodies of evidence has been to analyze the characteristics and chemical composition of Earth's atmosphere during its various periods of geological development. We have known for decades that the presence of certain vapors in the air, commonly known as “greenhouse gases,” increases the amounts of heat retained by an atmosphere to a degree proportionate to the concentration of greenhouse gases within it. If the Earth was warmer in the past than solar luminosity would suggest—and we have strong evidence that it was—then we can expect that the distribution of greenhouse gases in its atmosphere would be of paramount value in explaining that discrepancy. Heightened greenhouse gas levels would trap and magnify the sun's heat as it struck the atmosphere, enabling liquid water to exist on the surface of Earth. However, we have discovered little evidence that greenhouse gases during the early Earth period were present in larger quantities than previously assumed. These surprising findings indicate that the discrepancy between solar-astronomical and geological evidence related to the development of Earth's oceans cannot be explained by the presence of carbon in the atmosphere.

     One likely alternative is that another, non-solar source for atmospheric heat during the early Earth period. Earth and its moon were much closer together in the early geologic history of the planet, and tidal heating caused by the moon's rotation around Earth was likely much greater. While it is unclear how much influence this phenomenon might have exerted over atmospheric temperatures, scientists are increasingly convinced that it could play a part in explaining the unlikely presence of liquid water on our infant planet, perhaps in combination with indeterminate geological activity, solar flares, or irregularities in Earth's magnetic field.

Magoosh For which of the following functions is $$f(-\frac{1}{2})$$ $$\gt$$f(2)?
OG2022 判断以下文段中,哪些信息是事实,哪些信息是观点? 事实选F,观点选O The fastest growing part of the budget has been employee retirement benefits, which are exceptionally generous. (F/O)
PREP07 Test 1 For which of the following functions f is f(x) = f(1-x) for all x?
OG2022 判断以下文段中,哪些信息是事实,哪些信息是观点? 事实选F,观点选O The question has been raised whether it can be concluded that for a given level of output Delta's operation now causes less fossil fuel to be consumed than it did formerly.
OG2022 判断以下文段中,哪些信息是事实,哪些信息是观点? 事实选F,观点选O Unless the budget shortfall is resolved, transportation service will be cut, and many transportation employees will lose their jobs. (F/O)
Ready4

The movie’s fictional astronaut, stranded on Saturn’s moon Titan, would have had to endure a gravity that is approximately 14 percent that of Earth’s, experience a temperature that averaged about -290°F, breathing a dense and smoggy atmosphere, and perhaps even having to navigate a global methane ocean.

Ready4

For which of the following functions f is f (x) = f (1 - x) for all x ?

OG2022 判断以下文段中,哪些信息是事实,哪些信息是观点? 哪些是前提,哪些是结论? 事实选F,观点选O,前提选P,结论选C In countries where automobile insurance includes compensation for whiplash injuries sustained in automobile accidents, reports of having suffered such injuries are twice as frequent as they are in countries where whiplash is not covered.
OG2022 判断以下文段中,哪些信息是事实,哪些信息是观点? 哪些是前提,哪些是结论? 事实选F,观点选O,前提选P,结论选C Furthermore, among Candle viewers, the percentage of viewers 18 to 49 years old is increasing.
Over a period of 5 academic years from Fall 1999 through Spring 2004, the number of faculty at a certain college increased despite a decrease in student enrollment from 5,500 students in Fall 1999. In the given expressions, F and S represent the percent change in the number of faculty and students, respectively, over the 5 academic years, and R represents the number of students per faculty member in Fall 1999. The percent change in a quantity X is calculated using the formula $${\frac{X_{new}-X_o{ld}}{{x}_{o}{ld}}}(100)$$Select the expression that represents the number of faculty in Fall 1999, and select the expression that represents the number of students per faculty member in Spring 2004. Make only two selections, one in each column.
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