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For each new employee, a company gives a five-digit identification card. Each digit can be 0, 1, 2, or 3. If repetitions are allowed, how many different cards are possible.
A. 1024
B. 625
C. 25
D. 500
This problem comes from an old Indian folktale. A king is indebted to a young girl, and asks her what she wants as her reward. To the king's surprise, the girl asks for a single grain of rice on the first day of the month, two grains of rice on the n..
Please help me show that a positive integer k is prime if k is not divisble by any prime p, with:
The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all the stamps is $2.47. Find the number of 8 cent stamps in the collection?
Also, if you let B be a 6 x 6 invertible matrix, what would dim(N(BA)^orthogonal complement) and dim(C(A^TB^T)^orthogonal complement) be? (C( ) is the column space)
Suppose a = qb + r. Show that the set of common divisors of a and b is the set of common divisors of b and r.
Find explicitly Gal(x^3 - 2) over Q (the rationals). That is, explicitly give the automorphisms.
search the internet and the articles database in the library for a real-life example of simulation. for hint type the
Solve the unknown variable
Solve the following linear system.
A ball is thrown straight up from a rooftop 300 feet high. The formulah= -16t2+ 20t+ 300 describes the ball's height above the ground,h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually hits the groun..
A cafeteria offers 4 main menu selections, 5 salad selections, 3 fruit selections and 8 drink selections. How many ways can a student choose a lunch if
Assume that no vehicles park anywhere within the network. If possible, calculate the traffic flows f1 through f7. If not, determine how many more traffic sensors need to be installed (within the network) and obtain the expressions for the other tr..
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