Determine whether the pair of vectors is orthogonal.

A. Yes
B. No


Answer: B

Mathematics

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Multiply, then simplify the product. Assume that all variables represent positive real numbers.(4 + )(9 - )

A. 36 - 5 + b
B. 36 + 5 + b
C. 36 - 5 - b
D. 36 + 5 - b

Mathematics

Solve the problem.Two pipes can be used to fill a pool. Working together, the two pipes can fill the pool in  The larger pipe can fill the pool in 4 hours less time than the smaller pipe can alone. Find the time to the nearest tenth of an hour it takes for the smaller pipe working alone to fill the pool.

A. 8.7 hr B. 4.7 hr C. 4.6 hr D. 8.6 hr

Mathematics

Solve the problem. A reasonable quadratic model for the population of a certain city is found to be    where B(t) is the population (in thousands) of the city in the year that is t years since 2012. A reasonable quadratic model for the number of residents of that city who were born outside the United States is  where F(t) is the number (in thousands) of foreign-born residents of the city in the year that is t years since 2012. Let P(t) be percentage of residents of the city who were born outside the United States in the year that is t years since 2012. An

equation for P is P(t) =  . Use P to predict when the city will have 13.4% foreign-born residents.

A. 2026
B. 2028
C. 2025
D. 2027

Mathematics

Find the reference angle for the given angle.

A.
B.
C.
D.

Mathematics