Apopulation of bacteria is treated with an antibiotic. it is estimated that 5,000 live bacteria existed in the sample before treatment. after each day of treatment, 40% of the sample remains alive. which best describes the graph of the function that represents the number of live bacteria after x days of treatment? f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0 f(x) = 5000(0.6)x, with a vertical asymptote of x = 0 f(x) = 5000(1.4)x, with a horizontal asymptote of y = 0 f(x) = 5000(1.6)x, with a vertical asymptote of x = 0 mark this and return

The correct option is A.

Step by step explanation:

The exponential function is defined as

Where, a is initial value and b is growth factor or decay factor.

The initial population of bacteria is 5000.

After each day of treatment, 40% of the sample remains alive. It means the growth factor or decay factor is

Therefore the required function is

The horizontal asymptote is y=0 because

Therefore option A is correct.

Step-by-step explanation:

i do not know the answer i am sorry

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.