Final answer:
All species with cells containing membrane-bound organelles, such as a nucleus, are classified in Domain Eukarya, which encompasses a variety of life forms including animals, plants, fungi, and protists.
Step-by-step explanation:
Species that have cells containing membrane-bound organelles, such as a nucleus, mitochondria, and various other specialized structures, belong in Domain Eukarya. This domain includes all forms of life that are composed of eukaryotic cells. Eukaryotic cells are characterized by a true nucleus, which holds the cell's genetic material and is surrounded by a membrane. In addition to the nucleus, these cells feature other membrane-bound organelles that perform various functions vital to the cell's life processes.
Domain Eukarya is diverse and includes organisms across multiple kingdoms, including Animals, Plants, Fungi, and Protists. All these organisms may differ greatly in form and function, but they share the fundamental cellular architecture of eukaryotic cells. In contrast, the other domains, Archaea and Bacteria, comprise organisms with prokaryotic cells, which lack these membrane-bound structures.