Answer:
It looks like the sentence is correct; all you need is capitalization.
"Do you think a rainbow is beautiful?" is correct.
A dependent clause is a group of words with a subject and a verb, but doesn't make much sense on its own. A lot of times, especially in a sentence with a comma, you can split the sentence and see if it makes any sense.
6. "Before we hiked"
7. "When we go on nature field trips."
8. "Since John was an expert of volcanoes"
9. "If you want to see something closer."
10. "After a volcano erupts"
None of those answers make sense as independent sentences, which is how you can tell they're dependent clauses; they depend on the other part of the sentence.
First of all, you need to know what an appositive is.
It is a noun or a noun phrase that is used to modify, or refer to another noun which is usually located next to the appositive. In this case, the appositive phrase is Lucinda Gonzalez, because it modifies the noun <em>student.</em>
