The number of hours, t, that bacteria spread 10-fold can be modeled by the equation b(t) = b0(10)2t. there are 15 bacteria present initially and a biologist wishes to find out how many hours will elapse until there are 1,845 bacteria present. what is the exact value for the number of hours elapsed, t, in the equation 1,845 = 15(10)2t?

65 8 7 4 5 6 8 4 3 2 1 9 5 6 4 2 1 6 5 1 5 1 3 2 3 5 multiply the third number in the first row by the seventh number in the third row. add this result to the fifth number in the second row. add to this total ten times the fourth number in the third row. subtract the eighth number in the first row from the result.

Given the two similar triangles, how do i find the missing length? if a=4, b=5, and b'=7.5 find a'

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)