24,000/8= 3,000 balls
The machine produce 3,000 balls per hour.
Hope that helps!
Answer:

Step-by-step explanation:
we know that
<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.
To calculate combinations, we will use the formula

where
n represents the total number of items
r represents the number of items being chosen at a time.
In this problem

substitute

simplify



As the problem states, to solve this, we are going to use the equation

where

is the loudness in dB

is the intensity of a sound

<span>is the minimum intensity detectable by the human ear
</span>
We know for our problem that

; we also now that the minimum intensity detectable by the human ear is

, so

. Lets replace those values in our equation to find

:


Qe can conclude that since the explosion is under 100dB, it does not violates the regulation of the town. We used tow physical values to calculate the answer: the intensity of the sound of the explosion,

, and the minimum intensity detectable by the human ear

.
Answer:
{x| –2 ≤ x < 5}
Step-by-step explanation:
There is a box function plotted on the graph.
The function is g(x) = –⌊x⌋ + 3.
Now, we know that a box function represents a step graph having horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle.
It is given that the left-most segment of the given graph goes from (-2,5) to (-1,5) and the rightmost segment goes from (4,-1) to (5,-1).
So, for the left most segment the domain is -2 ≤ x < -1
And for the right most segment the domain is 4 ≤ x < 5
Therefore, the total domain of g(x) will be {x| –2 ≤ x < 5} (Answer)