Title: Chapter 11 Radical Expressions and Equations
Course: quiz duplicate error

Q: Simplify the radical expression.

[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Simplify the radical expression.

[Image]
- [Image]
- [Image]
- [Image]
- _ [Image]
A: [Image]

Q: Simplify the radical expression.

[Image]

factor 1: 1
factpr 2:  11
common factor:  2
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: A student visiting the Sears Tower Skydeck is 1353 feet above the ground. Find the distance the student can see to the horizon. Use the formula [Image] to approximate the distance d in miles to the horizon when h is the height of the viewer’s eyes above the ground in feet. Round to the nearest mile.
- 45 miles
- 601 miles
- 36 miles
- 1010 miles
A: 45 miles

Q: Simplify the radical expression by rationalizing the denominator.

[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: A square garden plot has an area of 24 ft^2.
a. Find the length of each side in simplest radical form.
b. Calculate the length of each side to the nearest tenth of a foot.
- [Image]; 2.45 ft
- [Image]; 4.9 ft
- [Image]; 6 ft
- [Image]; 5 ft
A: [Image]; 4.9 ft

Q: Simplify the expression.

[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Simplify the expression.

(6 – [Image])(6 + [Image])
- [Image]
- [Image]
- –85
- 25
A: 25

Q: Find an exact solution for [Image]. Then find the approximate solution to the nearest tenth.
- [Image]
- [Image]
- –2; –2
- [Image]
A: [Image]

Q: The formula [Image] gives the interest rate r that will allow principal P to grow into amount A in two years, if the interest is compounded annually. Suppose you have $425 to deposit into an account. Find the interest rate you would need to have $470 in the account at the end of the second year.
- 5.2%
- 105%
- 0.052%
- 5.4%
A: 5.2%

Q: Find the exact perimeter of the triangle.
[Image]
- [Image]
- [Image]
- [Image]
- 68x
A: [Image]

Q: Determine whether [Image] is sometimes, always, or never true.
- never
- sometimes
- always
A: sometimes

Q: Solve the equation. Check your solution.

[Image]
- 6
- 144
- [Image]
- 12
A: 144

Q: Solve the equation. Check your solution.

[Image]
- 126
- 6
- 17
- 116
A: 116

Q: Solve the equation. Check your solution.

[Image]
- –3
- 5
- –5
- [Image]
A: 5

Q: The velocity of sound in air is given by the equation [Image] where v is the velocity in meters per second and t is the temperature in degrees Celsius. Find the temperature when the velocity of sound in air is 369 meters per second. Round to the nearest degree.
- 507º
- 6,535º
- 7,081º
- 67º
A: 67º

Q: Solve the equation. Identify any extraneous solutions.

[Image]
- 8 is a solution to the original equation. The value –5 is an extraneous solution.
- 5 and 8 are both extraneous solutions.
- 5 is a solution to the original equation. The value –8 is an extraneous solution.
- 5 and –8 are solutions.
A: 5 is a solution to the original equation. The value –8 is an extraneous solution.

Q: Solve the equation. Identify any extraneous solutions.

[Image]
- 0 and 7 are solutions of the original equation.
- 0 is a solution of the original equation. 7 is an extraneous solution.
- 7 is a solution of the original equation. 0 is an extraneous solution.
- –7 is a solution of the original equation. 0 is an extraneous solution.
A: 0 and 7 are solutions of the original equation.

Q: The formula [Image] can be used to find the velocity v in feet per second of an object that has fallen h feet. Find the velocity of an object that has fallen 25 feet. Round your answer to the nearest hundredth.
- 800 feet per second
- 320 feet per second
- 200 feet per second
- 40 feet per second
A: 40 feet per second

Q: Find the domain of [Image].
- x [Image] [Image]
- x [Image] [Image]
- x > [Image]
- x [Image] [Image]
A: x [Image] [Image]

Q: Graph the function [Image].
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Match the function with its graph.

[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Find the value of cos 64°. Round to the nearest ten-thousandth.
- 0.4384
- 2.0503
- 0.3919
- 0.8988
A: 0.4384

Q: Find the value of x to the nearest tenth.

_ [Image]
- 2.9
- 3.3
- 9.2
- 5
A: 9.2

Q: Find the value of x to the nearest tenth.

[Image]
- 12.9
- 6.3
- 11
- –10
A: 11

Q: Suppose you live 4.4 miles from a hill. From your home you see a plane directly above the hill. Your angle of elevation to the plane is 30°. What is the plane’s altitude?
- –28.2 miles
- 3.8 miles
- 2.2 miles
- 2.5 miles
A: 2.5 miles

Q: A ranger spots a forest fire while on a 45-meter observation tower. The angle of depression from the tower to the fire is 12°. To the nearest meter, how far is the fire from the base of the tower?
- 212 meters
- 10 meters
- 216 meters
- 71 meters
A: 212 meters

Q: An airplane over the Pacific Ocean sights an atoll at an 13° angle of depression. If the plane is 648 m above the water, how many kilometers is it from a point 648 m directly above the atoll?
- 2806.8 km
- 2.81 km
- 1399.5 km
- 149.6 km
A: 2.81 km

Q: a. Find the value of each variable to the nearest tenth.
b. Find the perimeter of the triangle to the nearest tenth.
[Image]
- a = 30, c = 36.6, perimeter = 87.6
- a = 36.6, c = 30, perimeter = 87.6
- a = 36.6, c = 17.2, perimeter = 74.8
- a = 17.2, c = 36.6, perimeter = 74.8
A: a = 30, c = 36.6, perimeter = 87.6

Q: Use [Image] to find the value of cos A.
[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Simplify [Image] by rationalizing the denominator. Show your work.

The sales of a certain product after an initial release can be found by the equation [Image], where s represents the total sales (in thousands) and t represents the time in weeks after release.
a. Make a table of values.
b. Graph the function.
c. Use the graph to estimate the sales 7 weeks after release.

Make a table of values and graph the function.
[Image]

Use a trigonometric ratio to show that c = 2a in the triangle below.
[Image]

Simplify [Image]. Show your work. Justify each step

Solve [Image]. Check your solution. If there is no solution, write no solution. Show your work.

Given: [Image] and [Image] are in simplest radical form.
[Image] and [Image] is in simplest radical form.
Explain how c and d relate to a and b. Give an example.

Describe how to translate the graph of [Image] to obtain the graph of [Image].

A student simplifies [Image] as shown below. What error did the student make?

[Image]