The growth of Mycobacterium tuberculosis bacteria can be modeled by the function N(t) = ae0.166t, where N is the number of cells after t hours and a is the number of cells when t = 0.At 1:00 pm, there are 30 M. tuberculosis bacteria in a sample. Find the number of hours (rounded to the hundredths)for there to be 75 cells. Show all work using logarithms to solve

If f(x) = 4x – 3 and g(x) = 8x + 2, find each function value a.f[g(3)] b.g[f(5)] c.g{f[g(-4)]}

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

Me its important ! marge runs an ice cream parlor. her speciality is triple chocolate sundaes.she can prepare 1 sundae every 2 minutes, and she earns $1.20 for each sundae she makes . if she just makes sundaes for a single shift of at most 4 hours and at least 2 hours , which function relates her earnings to the number of minutes she works?