Final answer:
Nerve cells do not contain both actin and myosin, unlike muscle cells, which use these proteins for contraction.
Step-by-step explanation:
The cells that do not contain both actin and myosin are nerve cells. Muscle cells, which include skeletal, cardiac, and smooth muscle cells, all contain actin and myosin, which are essential for muscle contraction. In contrast, nerve cells, or neurons, are specialized for signal transmission and do not participate in muscle contraction, thus do not contain actin and myosin.