Answer:
The value of x = 2
Step-by-step explanation:
Given the equation

- Expand 12(x-2) = 12x - 24
- Expand 1/2(x+6) = 1/2x + 3
so the equation becomes

simplifying


multiplying both sides by 2

subtracting x from both sides


divide both sides by 29

simplifying

Therefore, the value of x = 2
Answer:
8%
Step-by-step explanation:
The maximum change happens when all 500 people moves form outer surface to the station center. When all of them are at the surface, the total moment of inertia is:

When they are at the axis, the total moment of inertia is only the station's, which is 
By the law of angular momentum conservation:


So the angular speed changes by 0.08 of itself, or 8%
Answer:
all real numbers
Step-by-step explanation:
As the graph goes up, it keeps going up and to the right. There is nothing telling us it will stop moving to the right at a certain point. It goes up much faster than it goes right, but it keeps going right and up forever. That makes the domain reach positive infinity. The same happens on the left side. As it goes down to the left, it keeps going left forever to negative infinity. That makes the domain all real numbers from negative infinity to positive infinity.
Domain: all real numbers
This question was posted almost a week ago, and I am not sure if you still need the answer, but I'll explain it.
The total number of all of the shapes were placed in the bag are equal to 100. The number comes from adding 32+20+48=100.
This is our total number and will be the denominator.
There are a total of 32 cards which have a hexagon, this number will be our numerator.
So far we have 32/100 , but this is not simplest form.
Next to reduce the fraction, the GCF must be found.
32: 1, 2, 4, 8, 32
100: :
Height is 18 for question 3.