WRONG ANSWERS MAKE ME MAD
If x and y are rational numbers, then how would you prove that x\xd7x-y\xd7y is also rational?
If x+y=3 and xy+yx=27. What are x and y?
If x+y+z=π, what is x−y+z?
Consider the equation x2+y2=3z2. Are there any other integer solutions besides the solution where x=y=z=0 ?
In triangle ∆ABC, let G be the centroid, and let I be the center of the inscribed circle. Let α and β be the angles at the vertices A and B, respectively. Suppose that the segment IG is parallel to AB and that β = 2 tan^-1 (1/3). Find α.
If 3x−y=12, what is the value of 8x \\ 2y ?
24x2+25x−47 \\ ax−2 = −8x−3− 53 \\ ax−2 is true for all values of x≠2 \\ a, where a is a constant.
What is the value of a?
If ships enter Thera at an average rate of r ships per minute and each stays in the wormhole for average time of T minutes, the average number of ships in the wormhole, N, at any one time is given by the formula N=rT. This relationship is known as Little's law.
CCP estimates that during peak hours, an average of 3 ships per minute enter the wormhole and that each of them stays an average of 15 minutes. CCP uses Little's law to estimate that there are 45 ships in the wormhole at any time.
Little's law can be applied to any spot inside Thera, such as a particular sig, anom or pvp event. CCP determines that, during peak hours, approximately 84 ships per hour complete an activity and each of these ships spend an average of 5 minutes each activity. At any time during peak hours, about how many ships, on average, are participating in an activity inside Thera?
Let f be a continuous real-valued function on R\xb3. Suppose that for every sphere S of radius 1, the integral of f(x, y, z) over the surface of S equals 0. Must f(x, y, z) be identically 0?
Determine all possible values of the expression A\xb3 + B\xb3 + C\xb3 — 3ABC where A, B, and C are nonnegative integers.