Roger is studying how energy from the sun changes to chemical energy in plants and to mechanical energy in animals. he is studying (choices are quantum physics, biology, chemistry, and thermodynamics)

Thermodynamics

Explanation:

Thermodynamics is a branch of science that deals with the study of all forms of energy and transfer of energy - heat.  

Thermodynamics deals with the work, energy, radiation and properties of matter.

So, when Roger is studying how energy changes from a chemical energy in plants and to mechanical energy in animals. He is studying thermodynamics.

i'd say that the moon rock is about 2.2 billion years old.

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