The heating and cooling therapies that require an electrical outlet are cooling blankets and K-pads.
Here's a breakdown of the options provided:
1. K-pads and ice packs: K-pads require an electrical outlet for heating, but ice packs do not.
2. Ice packs and compresses: Ice packs do not need an electrical outlet, and compresses do not either.
3. Cooling blankets and K-pads: Both cooling blankets and K-pads need an electrical outlet for operation.
4. Compresses and cooling blankets: Compresses do not require an electrical outlet, but cooling blankets do.
Therefore, the correct answer is cooling blankets and K-pads. These two therapies rely on an electrical outlet for their heating and cooling functions.