12. using the constructions described in the proof of kleene 's theorem, find nondeterministic finite-state automata that recognize each of these sets. a) 01* b) (0u1)1 c) 00(1* u 10)

David and alton are training for a race. they spend 35 minutes stretching and then go on a 5 mile practice run. david runs at a pace of 7 min/mile. alton runs at a pace of 8 min/mile. write an equation for each runner that shows the total length of their workout. then solve each equation showing your work

Which is an equivalent equation solved for r? the circumference of a circle can be found using the formula c = 2πr. r=cπ r=c(2π) r= c over 2π r= 2π over c

Simplify each expression for 18, 20, and 21