Dean has decided to include an apology as part of an adjustment message he is writing. where in the message should he include it?

The leading producer of cell phone backup batteries, jumpstart, has achieved great success because they produce high-quality battery backups that are not too expensive. even so, another company that produces lower-quality batteries at the same price has also achieved some success, but not as much as jumpstart. also, in general, the price of backup batteries has declined because of economies of scale and learning. in addition, jumpstart has added complementary assets, such as a carrying case. considering all of these factors, the backup battery industry is most likely in the introduction stage. growth stage. shakeout stage. maturity stage.

Suppose that a worker in agland can produce either 10 units of organic grain or 2 units of incense per year, and a worker in zenland can produce either 5 units of organic grain or 15 units of incense per year. there are 20 workers in agland and 10 workers in zenland. currently the two countries do not trade. agland produces and consumes 100 units of grain and 20 units of incense per year. zenland produces and consumes 50 units of grain and no incense per year. if each country made the decision to specialize in producing the good in which it has a comparative advantage, then the combined yearly output of the two countries would increase by a. 30 units of grain and 100 units of incense. b. 30 units of grain and 150 units of incense. c. 50 units of grain and 90 units of incense. d. 50 units of grain and 130 units of ince

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.