It depends. If it is the name of a specific class, then it would be capitalized: American History 101. If it is in sentence that only generally speaks about American history, then only "American" would be capitalized: American history.
history
Yes. Since it is considered a historic event you have to capitalize it.
Yes; "American" is always capitalized.
Yes. African American should be capitalized.
Well, honey, when it comes to grammar, you better capitalize the "T" in "The American Dream" because it's a proper noun. So, show some respect to that dream, capitalize it, and make it stand out like a shining star in the night sky.
history
Yes, you should capitalize the word "Figure" when referring to a figure in a paper.
No
Yes, always capitalize a state.
You should capitalize "American" when referring to the nationality or citizenship of someone from the United States, as in "American citizen." However, you do not capitalize it when referring to general concepts or things relating to America, such as "the American culture."
Yes. Since it is considered a historic event you have to capitalize it.
Yes, the term "Black history" is typically capitalized as it refers to the history and experiences of Black individuals and communities. This acknowledges the importance and significance of Black history in the context of broader historical narratives.
No, but you should capitalize American. If the specific branch of the military is named, it should be capitalized.
If you are writing in APA style (and I assume you are), you do not capitalize the names of theories or hypotheses.
Yes; "American" is always capitalized.
Yes, because it is a specific type of history.
You would capitalize that word however you use it.