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Magoosh In the revolutionary Scattering Experiment of 1911, in which alpha particles were shot at a thin gold fold, Rutherford, concluding that since most of the alpha particles passed through without deflecting, then most of the volume of the atom was empty space.
Magoosh Although Johannes Brahms lived longer than Beethoven, his collected works include only four symphonies, five fewer than those of Beethoven.
Magoosh Given that x $$\neq$$ 0, y $$\neq$$ 0, and (x+y) $$\neq$$ 0, is $$\frac{y}{x}$$ $$\gt$$ $${y}\over{x+y}$$?Statement #1: x > –1Statement #2: y > –1
Magoosh Compared to high school students, who readily understand the numerous theorems of Geometry, most of the theorems of Number Theory are sophisticated, with those with advanced degrees in mathematics only understanding them.
Magoosh If$${{w}\over{x+y}}=1$$ , what is the value of$${x+y}\over{y}$$ ?(1) $$\frac{x}{y}$$ = $$\frac{3}{2}$$(2) $$\frac{y}{w}$$ = $$\frac{2}{5}$$
Magoosh A box contains red and blue balls only. If there are 8 balls in total, how many red balls are in the box?(1) If two balls are randomly selected without replacement, the probability that both balls are red is $$\frac{5}{14}$$(2) If two balls are randomly selected without replacement, the probability is $$\frac{15}{56}$$ that the first ball is red and the second ball is blue.
Magoosh Mount Diablo, about 40 miles inland from San Francisco, CA, is not a very high peak, with an elevation under 4000 ft., more than 10,000 ft. shorter than the tallest peaks in California, but due to its being adjacent to such a large expanse of low flat land in California's Central Valley, its viewshed ranking as one of the largest in western United States, including not only the entire San Francisco Bay Area and also the whole of the Central Valley as well, clear across to the Sierra Nevada mountains on the eastern side of the state.
Magoosh If x and y are positive integers, is x - y > $${x+y}\over{2}$$ ?(1) y < x(2) x < 2y
Magoosh The Sherpa people, indigenous to the mountainous regions of eastern Nepal, are known to have their ability of performing with ease the demanding tasks of mountaineering at some of the highest known altitudes.
Magoosh Is x > 0?(1) $$({x+y})^2$$ < $$({x-y})^2$$(2) x + y < x - y
Magoosh Kepler's Third Law expresses the relationship between the semi-major axis of a planet's orbit and its orbital period: the further a planet's orbit is from the Sun, the longer the planet's period of revolution around the Sun.
Magoosh Given that x $$\neq$$ 0, is $$\sqrt[3]{x}\gt\sqrt[5]{x}$$?Statement #1: x < 1Statement #2: x > –1
Magoosh Patagonia, extending from the Rio Colorado in southern Argentina down to the Tierra de Fuego archipelago, and it boasts numerous dramatic views to alpine lakes surrounded by snowcapped peaks.
Magoosh The CEO of Ergon, a multi-million dollar company, asked the consultant for an economical forecast of the entire sector, so that he would be able to plan business strategy for the coming year.
Magoosh Among baseball's all-time fastest baserunners, perhaps it is none that was faster than James "Cool Papa" Bell, who is reputed to have rounded the bases in only 12 seconds on many occasions.
Magoosh The auk, because it exhibits a docile nature, it will typically not run from humans, and because it provided meat reputed by 19th century poachers to be delicious, was nearly driven to extinction, its numbers, at one point, down to a mere thousand.
Magoosh Ernst Haeckel held the individual development of biological organisms, from embryos to adult forms, to have passed through all the previous evolutionary stages from single cell organism to its species.
Magoosh Almost all motor vehicles on the road have a suspension system, that provides a smooth ride by allowing the road surface to have irregularities.
Magoosh What is the value of x?(1) $$\sqrt{x^4}=9$$(2) $$\sqrt{x^2}=-x$$
Magoosh Cosimo de' Medici, a great patron of the arts, sponsoring two of Donatello's most famous works, statues of David and Judith, while supporting Brunelleschi to complete the dome of the cathedral of Santa Maria del Fiore, which is known to be "Duomo.“
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