Section 11 1 list the elements of za x ze. find the order of each of the elements. is this group eyclic? 2 repeat exercise 1 for the group z4 x zs. in exercises 3 though 5, find the order of the given element of the direct product. 3 (4,4) in z12 x z16 4 (6, 10, 7) in z21 x z2s x z14 5 (2,4,5, 6) in z7 x z1o x zas x z2

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Convert the mixed numbers into improper fractions. convert the improper fraction to mixed numbers.

9.4.34  question   to estimate the height of a stone  figure, an observer holds a small square up to her eyes and walks backward from the figure. she stops when the bottom of the figure aligns with the bottom edge of the  square, and when the top of the figure aligns with the top edge of the square. her eye level is 1.811.81 m from the ground. she is 3.703.70 m from the figure. what is the height of the figure to the nearest hundredth of a  meter?