Final answer:
The statement provided is true; the nucleus functions as the control center of the cell, containing the DNA and the nucleolus, and is surrounded by a double-layered nuclear envelope with pores for material transport.
Step-by-step explanation:
The statement provided by the student is true. The nucleus is indeed considered the command center of the cell. It houses the cell's DNA, which contains the genetic instructions essential for all of the cell's functions, including the synthesis of molecules necessary for life. Furthermore, the nucleus is enclosed within the nuclear envelope, a double membrane consisting of two lipid bilayers that control what enters and exits the nucleus. This nuclear membrane contains nuclear pores that facilitate the transport of materials. The nucleolus, located within the nucleus, is responsible for ribosome synthesis, a critical process in protein production. In summary, the nucleus plays a pivotal role in maintaining the life and functionality of the cell by regulating gene expression and orchestrating protein synthesis.