Reference no: EM131052983
Simplifying Algebraic Expressions Involving Radicals-
1. Arrange the following radicals in order from least to greatest.
4√6, 2√15, 3√5, 4√7, 5√3
2. Write the following radicals as mixed radicals in simplest form.
a) 5√8
b) 4√27
3. Write the following mixed radicals as entire radicals.
a) 2√10
b) 4√6
4. Simplify. Do not give the decimal approximation.
a) √25 - √16
b) 3√48 - 4√8 + 4√27 - 2√72
c) 2√2(3√6 - √3)
d) (2√7 + 3√5)(2√7 - 3√5)
e) √7/√8
f) -√25/12√5
5. State any restrictions on x, and then solve each equation. For your answer, do not give the decimal approximation.
a) 3√(25+x) = 21
b) 3+√(4x+1) = 9
c) 3√(9x-2) = 4
6. Some collectors view comics as an investment. The effective rate of interest, r, earned by an investment can be defined by the formula
R = n√(A/P) - 1
where P represents the initial investment, in dollars, that grows to a value of A dollars after is years.
Determine the initial price of a rare comic book that resold for $1139 after two years, earning its owner 18% interest.
7. The amount of energy, P, in watts (W), that a wind turbine with vanes 40 m long generates, is related to the wind speed, S, by the formula
S = 3√(2P/5026.5D)
where D represents the density of the air where the turbine operates. If a wind turbine is built in an area in which the air density is 0.9 kg/m3 and the average wind speed is 8 m/s, determine how much power this turbine can generate.
8. Melinda bought a circular table for her deck. When she placed it on the deck, she concluded that its area was about a quarter of the area of her 5 m by 5 m square deck. Determine the radius of the table to two decimal places. Justify your response.
9. A space station needs to rotate to create the illusion of gravity. A formula for determining the rotation rate to reproduce Earth's gravity is
N = 42/π √(5/r)
where N represents the number of revolutions per minute and r represents the radius of the station in metres.
A station rotates 6.7 times per minute, producing an effect on the interior wall equivalent to Earth's gravity. Determine the radius of the space station.
|
How much is your options investment worth
: Suppose you buy 10 contracts of the February 110 call option. How much will you pay, ignoring commissions. In part a, suppose that Macro soft stock is selling for $130 per share on the expiration date. How much is your options investment worth? What ..
|
|
Formulating a theory of reality
: How would you start a short 250 word essay in regards to formulating a theory of reality. Describe. How does your theory contribute to a meaningful life for you?
|
|
Exploiting security weaknesses social engineering
: An employee who needs permission to access an electronic workspace, database, or other information systems resource typically fills in a request form and obtains approval from the responsible manager. The manager then routes the request to one of ..
|
|
What expectations are presented in the policy
: Explain the company's capacity to be able to fulfill strategic missions while increasing profit margin
|
|
Determine the initial price of a rare comic book
: Some collectors view comics as an investment. The effective rate of interest, r, earned by an investment can be defined by the formula, Determine the initial price of a rare comic book that resold for $1139 after two years, earning its owner 18% int..
|
|
Approach crafting a research project
: This week, through our work, we have looked ahead at how we should approach crafting a research project and the steps we should take to prepare the best project we can in the time we have available to us. Additionally, we have begun to explore the..
|
|
Payments are made at the beginning of each year
: A saver wants $180,000 after 10 years and believes that it is possible to earn an annual rate of 10 percent on invested funds. What amount must be invested each year if the payments are made at the BEGINNING of each year?
|
|
Discipline areas-bodies of knowledge
: The following topic(s) will demonstrate what the discussion is about, but feel free to branch off or expand on the topics. At the end of the discussion, you will be asked to craft a 150 word reflection on what you have learned through this convers..
|
|
Question regarding the melissa martinez
: What is a sexual script? How is it formed? When is it called into play? What does it do for us? What assumptions do we make about others' scripts? In your answer, make reference to relevant research and researchers noted in your course materials.
|