Nine increased by the product of a number and 2 is at most -19

Evaluate the integral. (sec2(t) i t(t2 1)8 j t7 ln(t) k) dt

Identify a1 and r for the geometric sequence an= -256(-1/4) n-1

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?