Mina is testing different types of heat lamps to determine which type is most effective for growing strawberry bushes. She purchases two different types of lamps from a local store. Mina applies brand A to one area of the yard and brand B to another area of the yard, both of which receive full sunlight. She waters the area with brand B daily; she waters the area with brand A every other day. At the end of the study, Mina concludes brand B is more effective in growing strawberry bushes. Is Mina's conclusion valid? Explain why or why not.

Suppose there is a simple index of three stocks, stock abc, stock xyz, and stock qrs. stock abc opens on day 1 with 4000 shares at $3.15 per share. stock xyz opens on day 1 with 5000 shares at $4.30 per share. stock qrs opens on day 1 with 6000 shares at $4.60 per share. the price of stock abc on day 8 begins at $3.50. the price of stock xyz on day 8 begins at $3.90. stock qrs opens on day 8 with a price of $4.50 per share. assume that each stock has the same number of shares that it opened with on day 1. what is the rate of change of this simple index over 1 week?

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Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.