Final answer:
Information for protein production passes from the nucleus, where it originates as DNA and is transcribed into RNA, through nuclear pores, and then to the ribosomes in the cytoplasm where proteins are synthesized.
Step-by-step explanation:
In a cell, information that controls the production of proteins must pass from the nucleus to the ribosomes. This process begins in the nucleus, where DNA is transcribed into RNA. The RNA then exits the nucleus through the nuclear pores within the nuclear envelope and enters the cytoplasm.
Once in the cytoplasm, the RNA is used by the ribosomes, either free-floating or attached to the rough endoplasmic reticulum (ER), to create proteins in a process called translation. This relationship between the nucleus and ribosomes is crucial for the synthesis of proteins needed by the body.