Sphere Volume = 4/3 • π • r³

Small Balloon = 4/3 • 3.14 • 3^3

Small Balloon = 37.68 cc

Large Balloon = 4/3 • 3.14 • 6^3

Large Balloon = 904.32 cc

 Difference = (904.32 -37.68) = 866.64 cc

The larger balloon has 866.64 cc more water than the small balloon.

4 0

3 years ago

Please help!!! I don’t understand it at all and I need it ASAP!

Ivenika [448]

9514 1404 393

Answer:

$\textbf{D.}\quad g(x)=\sqrt{x+6}+4$

Step-by-step explanation:

A lot of math is about matching patterns.

For example, ...

g(x) = f(x -h) +k

means g(x) is the function f(x) translated right by h units and up by k units. This will be true for any expression of f(x).

In this problem, f(x) = √x. We want to translate it left 6 units (h=-6)*, and up 4 units (k=4).

The notation above means that we will replace x with (x-h) = x+6. and we will add k = 4 to the result.

f(x) = √x

g(x) = f(x+6) +4

g(x) = √(x+6) +4 . . . . . . matches choice D

_____

* Left is the opposite of right, so left 6 units is the opposite of right 6 units. h=6 for right 6 units, so h=-6 for left 6 units. Then x-h = x-(-6) = x+6.

Comment on the graph

I find it useful to see a picture with these things. In the attached graphing calculator output, the blue curve is left 6 and up 4 from the red curve. The blue curve is g(x); the red one is f(x).