Explore the fact that for relatively small values of n, algorithms with larger orders can be more efficient than algorithms with smaller orders. Suppose that when run with an input of size n, algorithm A requires 10^6 n^2 operations and algorithm B requires n^3 operations. a. What are orders for algorithms A and B from among the set of power functions? b. For what values of n is algorithm A more efficient than algorithm B? c. For what values of n is algorithm B at least 100 times more efficient than algorithm A?

Adrawer contains 12 identical white socks, 18 identical black socks and 14 identical brown socks. what is the least number of socks you must choose, without looking, to be certain that you have chosen two socks of the same colour?

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. the right triangular prism has a height of 6 units, and the right cylinder has a height of 6 units. which conclusion can be made from the given information? the volume of the triangular prism is half the volume of the cylinder. the volume of the triangular prism is twice the volume of the cylinder. the volume of the triangular prism is equal to the volume of the cylinder. the volume of the triangular prism is not equal to the volume of the cylinder.

Which is f(5) for the function –2x2 + 2x - 3?