Simplify (7x - 1)³ (7x + 1)³
Each of six teachers, J, K, L, M, N and O, have their classes on six different days of a week starting from Monday and ending on Saturday of the same week, but not necessarily in the same order. Only two teachers have classes before M’s class. J has the class on Tuesday, and O has the class on Saturday. Only one teacher has the class after the class of K. N’s class is not between the classes of K and M. Who among the following has the class on Monday?
Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.
Series:
2 : 18 :: 4 : 74 :: 9 : ?
A sphere and a cube have the same surface area. The ratio of the volume of the sphere to that of the cube is:
\(\sqrt{π}\):\(\sqrt{6}\)
\(\sqrt{6}\) : \(\sqrt{π}\)
\(\sqrt{π}\) : 4\(\sqrt{3}\)
4\(\sqrt{3}\) : \(\sqrt{π}\)
Determine the positive value of k for which the equations x2 + kx + 64 = 0 and x2 - 8x + k = 0 will both have real roots.