Which of these details supports the central idea?
central idea: new ideas or inventions are not always planned.
the mechanical peeler was invented in the 1920s.
george crum worked at a resort in saratoga, new
york
george crum called his new invention "saratoga
chips."
potato chips, a very popular snack food, were
created by accident.

  plan: i will begin with a quotation about the importance of unity in a community. then, i will state my claim that an activity will unite our school by creating a shared vision, purpose, and direction. in the body, i will use three main points that describe the different avenues the students can take: through a variety of clubs, through a special event, or through an awareness week. i will provide evidence about other towns that have unity activities and the kinds of events that they include. pictures will illustrate my three main points in action. for the ending, i will restate the main idea in a new way and pose a question to keep the audience thinking. 

themselves

an intensive pronoun is a pronoun that ends in self or selves, such as himself, herself, themselves, yourself, ourselves. since band members is a third person plural, the correct intensive pronoun would be themselves. if the band was talked about as a collective noun, itself would be the appropriate intensive pronoun. intensive pronouns are used to add emphasis to the noun it's modifying which is why it directly follows it.

the boy's acceleration toward the girl is 2.08 m/s^2.

explanation:

according the newton's third law, the force causing the girl accelerate towards the boy will be me with equal counter-force causing the boy to accelerate towards the girl. these forces will be of equal magnitude and allows us to determine the boy's acceleration:

the boy's acceleration toward the girl is 2.08 m/s^2.