The growth of Mycobacterium tuberculosis bacteria can be modeled by the function N ( t ) = a e ^ { 0.166t }, where N is the number of cells after t hours and a is the number of cells when t = 0.

a.) At 1:00 P. M. there are 30 M. tuberculosis bacteria in a sample. Write a function that gives the number of bacteria after 1:00 P. M.

b.)Use a graphing calculator to graph the function in part(a).

C)Describe how to find the number of cells in the sample at 3:45 P. M

I NEED ALL 3 PARTS:))

If 50% of a number is 14 then 100% of the number is

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

In δabc, m∠acb = 90°, cd ⊥ ab and m∠acd = 45°. find: a find cd, if bc = 3 in