When a certain over the counter drug enters the bloodstream, it gradually dilutes, decreasing exponentially. you take a 200 mg dose at 8: 00pm, and by 11: 00pm, there is only 75 mg remaining.

a) if the drug is only effective with at least 65 mg in the blood stream, about what time should you take another dose?

b) assume you don’t take another dose after 8: 00pm, how much would be left in your blood stream after 10 days?

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?