Find tan 69° by using either the table or a calculator. Round your answer to four decimal places, if required.
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Fill in the blank(s) with the appropriate word(s).
2.6051
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Evaluate the polynomial.P(x) = 2x5 + 6x4 - 3x3 - x2 , P(-3)
A. 67 B. 68 C. 101 D. 72
A chair company produces two models of chairs, the Sequoia and the Saratoga. The Sequoia model takes 3 hours to assemble and hour to paint. The Saratoga model takes 2 hours to assemble and 1 hour to paint.The maximum number of hours available to assemble is 24 per day and the maximum number of hours available to paint is 8 per day.
(a)If the company earns a profit of $20 per Sequoia model and $30 per Saratoga model, find the number of models produced per day in order to maximize profit. (b)If the company earns a profit of $30 per Sequoia model and $15 per Saratoga model, find the number of models produced per day in order to maximize profit. (c)Suppose the company decides to upgrade the two models so it takes an additional 2 hours to detail the Sequoia and 2 hours to detail the Saratoga. The maximum number of hours available to detail is 18 per day. If the company earns a profit of $45 per Sequoia model and $35 per Saratoga model, find the number of models produced per day in order to maximize profit. (d)Suppose the company decides to upgrade the two models so it takes an additional 2 hours to detail the Sequoia and 2 hours to detail the Saratoga. The maximum number of hours available to detail is 18 per day. If the company earns a profit of $30 per Sequoia model and $40 per Saratoga model, find the number of models produced per day in order to maximize profit.
Solve the problem.In 2010 a certain county recovered 22% of its municipal wastes through recycling, up from 17% in 2005. Let P represent the percentage recycled and t the number of years since 2005. Find a linear function P(t) that fits this data. Use this function to predict the percentage recycled in 2016.
A. 26.1% B. 28% C. 29.7% D. 24.4%
Multiply and simplify. ?
A. 5m
B.
C.
D. 10