The earth subsystem that represents the circulation of earth's water throughout the hydrosphere, atmosphere, biosphere, and geosphere is know as the:

Water cycle

Explanation:

The Earth subsystem that represents the circulation of Earth's water throughout the hydrosphere, atmosphere, biosphere, and geosphere is know as the water cycle.

The water cycle, also known as hydrological cycle describes the continuous movement of water on, above and below the surface of the Earth and It is made of five steps which are; Evaporation, Condensation, Sublimation, Precipitation, Transpiration, Runoff and Infiltration.

This process circulates water throughout the hydrosphere, atmosphere, biosphere and geosphere.

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the factors that the economies of the muslim empires prosper were:

1- land trade routes-located between three continents  

2- sea trade routes

trade contributed to the spread of muslim empires, and with that islamic culture led to a growing feeling of internationalism resulted in the transfer of technology, science, and other cultural forms.