Answer:
In the episode "Krill," Captain Mercer and Lieutenant Juanita were stranded on a Krill ship and had to work together to survive. Over the course of the episode, Captain Mercer demonstrated his leadership skills, ingenuity, and courage in various situations, such as when he devised a plan to disable the Krill ship's shields and when he took on the Krill soldiers in hand-to-hand combat.
Additionally, throughout the episode, Captain Mercer and Lieutenant Juanita developed a bond and mutual respect for each other. They shared personal stories and experiences, and Captain Mercer showed compassion and empathy towards Lieutenant Juanita when she expressed her frustration with being treated unfairly as a female officer.
By the end of the episode, Lieutenant Juanita acknowledged that Captain Mercer had proven himself worthy of her respect and admiration. She even offered to buy him a drink, which he declined due to his duty as captain.
Overall, Captain Mercer was able to prove himself worthy of Lieutenant Juanita by demonstrating his leadership, bravery, and empathy, and by building a strong bond with her through their shared experiences.
Step-by-step explanation: