The sum of the first sixteen terms of an arithmetic sequence series is 632, and the eleventh term is 47. Determine the fifth term

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size.it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

Select the number of ways in which a line and a circle can intersect

Consider the sequence below. 3 , 1 , 1/3 , 1/9 , select the explicit function which defines the sequence.