Acommon inhabitant of human intestines is the bacterium escherichia coli, named after the german pediatrician theodor escherich, who identified it in 1885. a cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. the initial population of a culture is 40 cells.
a) find the relative growth rate. i know how to do everything but the last part
k = 3ln(2) hr−1
(b) find an expression for the number of cells after t hours.
p(t) = 40e3tln(2)
(c) find the number of cells after 5 hours.
1310720 cells
(d) find the rate of growth after 5 hours. (round your answer to the nearest integer.)
2725566 cells/h
(e) when will the population reach a million cells? it has to be in the / form.
ln(20,000)ln(5)

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.