(r-8)^5 find the coefficient of the given term r^3 98 points max

Step-by-step explanation:

Apply binomial theorem to expand (a+b)^n where a = r, b = -8 n n = 5

the r^3 term is (5!/(2!*(5-2)!)*r^3*(-8)^(5-3)

=(5*4*3*2*1/1*2*1*2*3)*r^3*(-8)^2

=640*r^3

So the coefficient is 640.

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.