Which expression is not equivalent to −3/8⋅(−4+1/ 2)

1. -3/8 * -3 + -3/8 * -1/2
2. -3/8 * -4 + 3/8 * 1/2
3. -3/8 * -4 - 3/8 * 1/2
4. -3/8 * -31/2

2. -3/8 * -4 + 3/8 * 1/2

Step-by-step explanation:

The given expression is

When we rewrite -4 as -3-1

We get

Now add the -1 and the ½ to get:

Expand now to get:

...This gives the first option.

Again, we expand the parenthesis of the original directly using the distributive to obtain;

......This gave us the third option.

We could also simplify the expression in the parenthesis first to get;

....This is the fourth option.

Hence the second options is NOT equivalent to the given expresion.

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!