A disease has hit a city. The percentage of the population infected t days after the disease arrives is approximated by p(t)equals7 t e Superscript negative t divided by 8 for 0less than or equalstless than or equals32. After how many days is the percentage of infected people a maximum? What is the maximum percent of the population infected?

(1) The percentage of infected people will be a maximum after 8 days.

(2) The maximum percent of the population infected is 20.60%.

Step-by-step explanation:

The percentage of the population infected t days after the disease arrives is approximated by:

(1)

The percentage of infected people will be a maximum when p' (t) = 0.

Compute the value of p' (t) and equate it to 0 as follows:

Thus, the percentage of infected people will be a maximum after 8 days.

(2)

Compute the value of p (8) as follows:

Thus, the maximum percent of the population infected is 20.60%.

b. x- 48 =120

step-by-step explanation:

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl