Answer:
The sentence "You have nesting dolls" is a simple sentence.
No, "He showed the officers a hotel receipt and an airplane ticket as proof of his time in Buenos Aires" is not a compound sentence.
Explanation:
1. "You have nesting dolls" is a simple sentence as it has just one subject and one verb. Moreover, it also states a simple sentence, and completes a thought. Therefore, it is a simple sentence.
2. "He showed the officers a hotel receipt and an airplane ticket as proof of his time in Buenos Aires" This is not a compound sentence. Compound sentences have at least two independent clauses joined by coordinating conjunction along with a comma. In the given sentence, there is no comma and also contains just one independent clause. Therefore, the correct answer is no, it is not a compound sentence.