The spread of a fungal infection in an ant colony can be modeled by dy/dt =(y + 1)/(2√t)
where t is the time in hours and y is the percent of the ants infected. At t = 1 only three percent of the ants are infected.

(a) Write an equation for the line tangent to the graph of y at t = 1. Use the tangent line to approximate the percentage of the colony infected at t = 1.2.

(b) Find y explicitly in terms of t.

answer: y=4000x+14000

step-by-step explanation:

answer: -10

step-by-step explanation:

s(t) = 1 - 10t

s(x) = 1 - 10x

s(x + h) = 1 - 10(x + h)

            = 1 - 10x - 10h

s(x + h) - s(x) = 1 - 10x - 10h - (1 - 10x)

                      = 1 - 10x - 10h - 1 + 10x

                      = -10h

= -10

42.4 6th grade students prefer hip hop

step-by-step explanation:

40 percent of 106 = 42.4

good luck on ur quiz test or homework. have a good day : )