Abstract Algebra Answers

semi circulat region and square region have equal perimeter area of a square exceeds area of semicircular by 7 cm find the perimeter and area

describe all homomorphisms f: Z4 - Z6. describe their kernels and ranges.

Let G be a finite group. Let f and g be prime numbers. Assume that there exists elements in G a and b of orders p and q respectively. Prove that order of G is a multiple of pq

Let G be a group, let H be a normal subgroup. Prove that a is an element of G the order of Ha in G/H is a divisor of order a in G.

a small barrel of grape juice is mixed using 12 parts grape concentrate and 30 parts water. A large barrel of apple juice is mixed using 16 parts apple concentrate and 36 parts water. Which barrel is fruitier

If you have 11 letters, assuming any combination of the letters makes a word, and letters can be used more than once, how many 1 letter words? 3 letter words? 4 letter words? 6 letter words? 11 letter words?

line p contains points A(0,-9) and B(-1, 2) line q is parallel to line p line r is perpendicular to line q what is the slope of line r?

Prove that the set of all the non zero elements in a field is a multiplicative group. Use Lagrange's Theorem to prove that in a finite field of m elements x^m = x for every x.

the cash price for a drill is $240, when bought on hire purchase an interest of 20% of the cash price is added. find the hire purchase price

24 people were traveling and brought 24 loaves of bread. Each man brought 2 loaves, each woman brought half a loaf, and each child brought a quarter of a loaf. How many men were traveling? How many women were traveling? How many children were traveling?