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Magoosh	Gen. Joseph Hooker initially seized the advantage at the Battle of Chancellorsville, but despite having an army twice the size of Gen. Lee's confederates, he lost his nerve and settled into a more defensive posture, with the result that his army would suffer a humiliating defeat.
Magoosh	If $$p ={ {1}\over{\sqrt{14}-\sqrt{13}}} $$and q = $${ {1}\over{\sqrt{14}+\sqrt{13}}} $$ then $$p^{2 }+ 2pq + q^{2} =$$
Magoosh	Dante Rossetti and his colleagues, in calling their group the Pre-Raphaelite Brotherhood, sought a return to the classical ideals of painting that held sway before Raffaello, to what governed the work of 15th century artists such as Sandro Botticelli.
Magoosh	Ⅰ.$${49！}\over{({7^{49})}^{2}}$$Ⅱ.$${49！}\over（{7！）^{2}}$$Ⅲ.$${49！}\over（{42！）（7！）}$$Rank these three quantities from least to greatest.
Magoosh	Daniel Bernoulli (1700 – 1782) derived the famous fluid equation named after him, to explain an airplane's wing's generation of lift, and made a discovery that lead to an early method of measuring blood pressure.
Magoosh	Consider the three points in the x-y plane: P = (8, 4), Q = (6, 7), and R = (9, 0). Rank these three points from closest to the origin, (0, 0), to furthest from the origin.
Magoosh	The ability of neuroscientists to pinpoint the exact locations in the brain where complex sensory responses to a variety of stimuli occur, such as a logic-based board game or a series of violent images, have become ever more precise.
Magoosh	In the xy-coordinate system, a circle with radius $$\sqrt{30}$$ and center (2,1) intersects the x-axis at (k ,0). One possible value of k is
Magoosh	It takes 1 pound of flour to make y cakes. The price of flour is w dollars for x pounds. In terms of w, x and y, what is the dollar cost of the flour required to make 1 cake?
Magoosh	If k is an integer, what is the smallest possible value of k such that 1040k is the square of an integer?
Magoosh	Consider these three quantities:Ⅰ$$.\frac{49！}{48！}$$Ⅱ.$${49！}\over({7！})^{2}$$Ⅲ.Ⅱ.$${49！}\over({42！）（7！})$$Rank these three quantities from least to greatest.
Magoosh	In a group of 100 adults, 75 percent of the women are left-handed. If there are 12 right-handed women in the group, how many men are in the group?
Magoosh	If $5,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?
Magoosh	If the area of the outer square is $$4x^{2}$$, then the area of the inner square is
Magoosh	The probability is 0.6 that an “unfair” coin will turn up tails on any given toss. If the coin is tossed 3 times, what is the probability that at least one of the tosses will turn up tails?
Magoosh	Solution Y is 40 percent sugar by volume, and solution X is 20 percent sugar by volume. How many gallons of solution X must be added to 150 gallons of solution Y to create a solution that is 25 percent sugar by volume?
Magoosh	If the circle with center O has area 9π, what is the area of equilateral triangle ABC?
Magoosh	What is the value of w in terms of x and y?Note: Figure not drawn to scale
Magoosh	There are 13 hearts in a full deck of 52 cards. In a certain game, you pick a card from a standard deck of 52 cards. If the card is a heart, you win. If the card is not a heart, the person replaces the card to the deck, reshuffles, and draws again. The person keeps repeating that process until he picks a heart, and the point is to measure how many draws it took before the person picked a heart and, thereby, won. What is the probability that one will pick the first heart on the third draw or later?
Magoosh	If a right triangle has area 28 and hypotenuse 12, what is its perimeter?