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Svetlana is trading her car in on a new car. The new car costs $31,025. Her car is worth $2998. How much more money does she need to buy the new car?
If Robin Hood and Little John each shoot one arrow at the target, what is the probability that they both miss?: *
Define the decision variables (and give them names like x, y, z, etc. using as many variables, and names, as you need; also provide units for each).
Should Player 1 start towards Atlanta or Nashville? Which routes should Player 2 block?
Use the euclidean algorithm to find the greatest common divisor of 981 and 1234.
Let X = {a, b, c}. Recall that P(X) is the power set of X. Define a binary relation R on P (X) as follows: for all A, B ? P (X).
Determine whether or not the given binary relation is reflexive, symmetric, transitive, or none of these. Justify your answers.
What is the maximum number of jobs that can be performed at the same time?
Let {an} and {bn} be the sequences defined, for n > 0, by: an = n + 2n, bn = (-1)n. Find c0, c1, c2, and c3 when cn = (an)(bn).
The sentence below is a theorem of predicate logic. Show that it is by deriving it from the null set of premises.
Every mental state is identical with some brain state or other. All mental states are introspectable.
How many cameras must be sold to have a revenue of at least $400,000,000?
A traveler owing a gold chain with 7 links is accepted at an inn on condition that he pay one link of the chain for each day he stays.
In a situation where the players don’t know each others’ preferences, is it better to be the cutter or the chooser? Why?
The game in part a. is a repeated game in the sense that several turns are possible. In a repeated game there is an opportunity to build or erode trust.
If H and K are disjoint closed point sets, then there exist open point sets U and V containing H and K respectively such that cl(U) and cl(V) are disjoint.
A function f(x) is defined on a set of real numbers x not equal to 0 as: f(x) = (2x +1)/x. Is f(x) one to one?
Determine whether the binary relation R on Z, where aRb means a^2 = b^2, is reflexive, symmetric, antisymmetric, and/or transitive.
A contractor for a Paradise city on the XYZ planet has to order traffic lights for the city. All streets in the city are straight and infinitely long.
Characterize the set of all real numbers with the discrete metric as to whether it is compact, complete, or totally bounded.
Prove that this recursive definition of "sorted list" is equivalent to our original, nonrecursive definition, which is that the list consist of integers.
For each of the following properties, find a binary relation R such that R has that property but R^2 (R squared).
The Action Sports Network surveyed 265 of its viewers to determine which sports they watched most often.
Use a venn diagram to determine wheather (A U B') U C= (A' U B) U C' for all sets A, B, and C. Show your work.
Consider the following axiom system. The undefined terms are point, line, and on. Definition: two lines are parallel if there is no point on both of them.