For each of the following primes p and numbers a, compute a−1 mod p in two ways:
(i) Use the extended Euclidean algorithm.
(ii) Use the fast power algorithm and Fermat’s little theorem.
a. p = 47 and a = 11.
b. p = 587 and a = 345

The distance between two cities is 368 miles. if the scale on the map is 1/4 inch=23 miles, what is the distance between the cities on the map?

An energy drink company claims that its product increases students' memory levels. to support its claims, the company issues advertisements claiming that 8 out of 10 people (chosen randomly from across the country) who tried their product reported improved memory. the missing component in this study is a .

The vertices of a triangle are a(7.5), b(4,2), and c19. 2). what is