Is this a thesis statement? - Misty Copeland gained recognition as the African American woman to become the principle dancer for the American ballet theatre

Yes

Explanation:

A thesis statement is the main sentence that expresses the main idea behind a research paper. It also expresses the main theme of an essay like any argumentative essay or the expository essay. It normally occurs at the conclusions of an introductory paragraph.

In the context, the sentence given is a thesis statement. Here the sentence concludes the idea that Misty Copeland became the main dancer for the American ballet theatre.

the answer is:

when will (v) the books (n) be (v) due?

nouns refer to people (other than pronouns), places and things, whereas verbs describe actions and are usually part of the predicate of a sentence. finally, pronouns can work as nouns and identify the participants in speech.

in the example sentence, "will" is a verb part or auxiliary verb, "be" is an infinitive verb and "books" is a plural noun.