Review of Factorials. use the skills covered in the Brief
Review on p. 458 to evaluate the following quantities without using
the factorial key on your calculator (you may use the multiplication
key). Show your work.
11. 6!
12. 12!
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
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EBK USING AND UNDERSTANDING MATHEMATICS
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- A boat is 15 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 65° angle is formed between the closest point to the boat, the person, and the boat. How far is the person from the boat? Round your answer to the nearest tenth of a foot. Show your work. boat 15 ft d 65° personarrow_forward2. Find the value of x in the triangle. Round your answer to the nearest tenth of a degree. Show your work. 8 15arrow_forwardUse the equation x+2= √3x+10 to answer these questions. (a) What is the solution to the equation? (b) What is the extraneous solution? Why? (c) In general, what is an extraneous solution?arrow_forward
- A utility pole is 35 ft tall. The pole creates a 50 ft shadow. What is the angle of elevation of the sun? Round your answer to the nearest degree. Show your work. nswer:arrow_forwardLet θ = - 11π/4Part A: What is a coterminal angle of θ such that 0 ≤ θ ≤ 2π?Part B: What are the exact values of all six trigonometric functions evaluated at θ?arrow_forwardWrite the expression as a simplified rational expression. Show your work. 1 6 + 5 1 x + 1arrow_forward
- The population of a town was 5655 in 2010. The population grows at a rate of 1.4% annually. (a) Use the exponential growth model to write an equation that estimates the population t years after 2010. (a) Estimate the population of the town in 2022. Show your work.arrow_forwardSimplify the expression (x³ - 5x² + 7x - 12) ÷ (x − 4) using long division. Show your work.arrow_forwardx² + 3x - 28 Simplify the expression x² - 7x+12. Show nswer: your work.arrow_forward
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