The circumference of a circle is 36 x feet. What is the length of the radius of this circle?

5.732484076 =r

Step-by-step explanation:

The circumference is 36 ft

We know the circumference is given by

C = 2 * pi *r

36 = 2 * pi *r

Divide each side by 2 pi

36/ 2pi = 2 *pi*r/2*pi

18/pi = r

Letting pi be approximated by 3.14

18/3.14 =r

5.732484076 =r

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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b. 153 students do not participate in sports and seventy-five 12th graders were surveyed