Alexa uses the binomial theorem to correctly expand (x+2)^4. which is one of the terms in alexa's answer?

2 answers:

8 0

^0 ...............1
^1..............1 1
^2............1 2 1
^3...........1 3 3 1
^4..........1 4 6 4 1

(x+2)^4 = 1(x)^4(2)^0 + 4(x)^3(2)^1 + 6(x)^2(2)^2 + 4(x)^1(2)^3 + 1(x)^0(2)4
= $x^{4} + 8 x^{3} + 24 x^{2} + 32x + 16$

Aloiza [94]2 years ago

6 0

The first term is x^4.
The second term is 8x^3

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A sphere has a radius of 16 in. Which statements about the sphere are true? Check all that apply.

Wewaii [24]

Answer:

The sphere has a diameter of 32 in. CORRECT: the diameter of a sphere doubles its radio, so if the radio equals 16,the diameter measures the double, in this case, 32.
The radius' lenght is one half the length of the diameter. CORRECT: , by definition, the diameter is the maximum distance between two opposite points on the surface of the sphere, and its lenght equals twice the radius because the radius is the distance between the center of the sphere and any point of the frontier of the sphere (then, one colud imagine that the distance between two opposite points in a sphere can be united by two radius, or a diameter).
The volume (V) of a sphere can be calculated as $\frac{4\pi r^3}{3}$ , where r is the radio. In this case, the volume of the sphere will be $\frac{4\pi\times16^3}{3}=\frac{4\pi\times4096}{3}$ , which is also equal to $\frac{16384\times\pi}{3}$ .