A lawn cutting service offers two monthly plans:
Plan A: $15 per lawn cutting, plus a
flat rate of $20 per month.
Plan B: $25 per lawn cutting.
Write an inequality to determine
when the cost of cutting x lawns
using Plan A is less than the cost of
cutting x lawns using Plan B.

In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ah=4 and hc=1, find bh.

Ascientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to live for one week without producing any additional offspring. each replicated organism also replicates at the same rate. at hour one, there is one organism. at hour two, there are five more organisms. how many total organisms are there at hour seven? 2,801 19,531 19,607 97.655

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). sketch the curves.