Mathematics and Algebra: Radicals Application Practice

Radicals - Application Practice

Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.

Hint for this assignment: Pay attention to the units of measure. You may have to convert from feet to miles several times in this assignment. You can use 1 mile = 5,280 feet for your conversions.

1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: w = Cr^-2 , where C is a constant, and r is the distance that the object is from the center of the earth.

a. Solve the equation for r.

b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the earth.)

c. Use the value of C you found in the previous question to determine how much the object would weigh in

i. Death Valley (282 feet below sea level)

ii. The top of Mt McKinley (20,320 feet above sea level)

2. The equation D= 1.2 x sqare root h gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet.

a. Solve this equation for h.

b. Long's Peak in the Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long's Peak? Can you see Cheyenne, Wyoming (about 89 miles away)? Explain your answer.

(Please see attachment for complete description of questions)

What are the steps for simplifying radicals? Can either step be deleted? If you could add a step that might make simplifying radicals easier or easier to understand, what step would you add?

Look what stress does. I submitted the wrong problems to you for help. Please help me with the following 18 problems - I submitted the incorrect problems.
#17)
2x + 3
--------
x^2 - 16
#33)
w^2 - 49
---------
w + 7
#77)
2x^12
-------
4x^3
#87)
-2x - 4
-----------
x^2 - 5

What law of radicals allows you to treat radical expressions as exponential expressions? How would you explain this to someone else and how would you explain adding like radicals? Include an example with your explanation. Use the following notation for square root: sqrt(3).

Radical Expressions. See attachment for equations
1. Find the square root of 8100
2. Find the square root that is the real number
3. Find each function value, if it exists
4. Find the following. Assume that variables can represent any real number.
5. Rewrite without exponents =
6. Rewrite with ra

Should algebra be taught to everyone? Who should study algebra? The statements below serve as possible answers to these questions and are only 'food for thought.' I welcome your constructive ideas and comments on one or several of them.
Whether you agree or do not agree, the study of algebra is good for the brain. The b

Intermediate Algebra problems in radicals, radical functions, and rational exponents.
(See attached file for full problem description)
These algebra problems all relate to radicals, radical functions, and rational exponents.
Simplify the expression. Include absolute value bars where necessary.
4√t4

1. Rewrite with rational exponents
2. Simplify by factoring
3. In the right triangle, find the length of the side not given. Give an exact answer and an approximation to three decimal places
What is the exact value of c, what is the value of c approximated to three decimal places?
4. Multiply and simplify by

Please see the attached file for the fully formatted problems.
1) Multiply and simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers.
2) Simplify by removing factors of 1.
3) Simplify.
7) Solve.
8) Divide and simplify.
9) Use the quadratic formula to solve the equ