To compare the chemical energy of coal to its gravitational potential energy we nee to calculate the height to which 1 kg of coal can be lifted using the chemical energy released by burning 1 kg coal

Given Data:

The Chemical energy released by burning 1 kg of coal 

E = 3 x 10^6 Joules 

The mass of coal that is being lifted 

m = 1 kg 

acceleration due to gravity,

g = 9.81 m/s^2

The formula for gravitational potential energy (GPE)

GPE = mgh 

Let's solve for h

h = GPE/mg

h = 3 x 10 ^6 /1 x 9.81

h = 3035812.69 meters 

So, using all the chemical energy released by burning 1 kg of coal,  we could lift another 1 kg of coal to a height of approximately 305,813 meters.

This comparison demonstrates the huge amount of energy that coal contains since it can raise its own weight to a height that is much higher than the Earth's atmosphere.

To solve the expression $||x+3| - 4|$ piecewise, we need to consider the cases when $x+3$ is positive and when it is non-positive.

1. When $x+3 \geq 0$: In this case, $|x+3| = x+3$. Therefore, $||x+3| - 4| = |x+3| - 4 = (x+3) - 4 = x - 1$.

2. When $x+3 < 0$: In this case, $|x+3| = -(x+3)$. Therefore, $||x+3| - 4| = |-(x+3) - 4| = |-x-7| = x + 7$.

So, the piecewise definition for $||x+3|-4|$ is:

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An odd number is an integer that is not divisible evenly by 2, meaning that when you divide an odd number by 2, there is a remainder of 1.