Explanation:

- Implore: To beg earnestly or desperately for something. It involves an element of urgent pleading or request.

- Refuse: To decline or reject something. It’s the opposite of accepting or agreeing to a request.

- Answer: To respond to a question or request. This doesn’t carry the emotional or pleading tone associated with imploring.

- Plead: To make an emotional or earnest appeal. This is very similar to implore as both involve begging or asking with sincerity.

- Apologize: To express regret or sorrow for an action. It involves saying sorry, not necessarily begging or pleading.