7a subgroup h is conjugate to a subgroup k of a group g if there exists an inner automorphism i, of g such that h -k prove that conjugacy is an equivalence relation on the collection of subgroups of g. 8 prove that an intersection of normal subgroups of g is again a normal subgroup of g

The difference between two numbers is one. three times the larger number minus two times the smaller number is 9. what are the two numbers

Ian is in training for a national hot dog eating contest on the 4th of july. on his first day of training, he eats 4 hot dogs. each day, he plans to eat 110% of the number of hot dogs he ate the previous day. write an explicit formula that could be used to find the number of hot dogs ian will eat on any particular day.

Identify one charcteristic of exponential growth