The sentence that begins with an independent clause and ends with a dependent clause is:
AJ can run faster than anyone.
However, it's important to clarify that while "AJ can run faster than anyone" is indeed an independent clause, it does not end with a dependent clause. The correct answer from the provided options that fits your requirement is:
Because it is my birthday, my mom made a cake.
Here, "my mom made a cake" is the independent clause, and "Because it is my birthday" is the dependent clause that starts the sentence.