Given the functions, f(x)=30x4+9x3+27x2−21x−17 and g(x)=6x+3, divide f(x) by g(x) and simplify. Question options:

a.5x3−x2+5x−6+16x+3

b.5x3−x2+5x−6−36x+3

c.5x3−x2+5x−6+66x+3

d.5x3−x2+5x−6+86x+3

At a kentucky friend chicken, a survey showed 2/3 of all people preferred skinless chicken over the regular chicken. if 2,400 people responded to the survey, how many people preferred regular chicken?

Question 1 of 10 2 points different groups of 50 graduates of an engineering school were asked the starting annual salary for their first engineering job after graduation, and the sampling variability was low. if the average salary of one of the groups was $65,000, which of these is least likely to be the average salary of another of the groups? o a. $64,000 o b. $65,000 o c. $67,000 o d. $54,000

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?