o Compare the parts of an exponential expression with a radical expression.

o Explain what a perfect square is and give some examples.

o Describe the process of rationalizing the denominator

|(1) Consider the exponential expression 3^(1/2). This has base 3 and an exponent 1/2. | |The denominator of the exponent is 2. This is the order. | | The equivalent radical expression is √3. Here, √ is called the radical sign. 3 is called the radicand. Since √3 means square root of 3, the order is 2. | | Another example is 10^(1/3). This has base 10 and an exponent 1/3. | |The denominator of the exponent is 3. This is the order. | | The equivalent radical expression is 3√10 (The 3 is over the radical sign). 10 is the radicand. Since 3√10 means cube root of 10, the order is 3. | | | |(2) A perfect square is a number whose square root is a whole number. For example, 25 and 64 are prefect squares since √25 = 5 and √64 = 8 are both whole numbers. | |On the other hand 15 is not a perfect square since √15 = 3.87 is not a whole number. | |In Algebra also, a perfect square expression is one whose square root will have no radical sign anywhere in it. For example, x^2 is a perfect square because its | |square root is x (no radical sign here). On the other hand, x^3 is not a perfect square because √(x^3) = x √x...

...Exponential Smoothing Forecasting Method with Naïve start
Formula: Ft = α (At-1) + (1 – α) (Ft – 1) where:
Ft Forecast for time t
Ft – 1 Past forecast; 1 time ahead or earlier than time t
At-1 Past Actual data; 1 time ahead or earlier than time t
α (read as alpha) as a smoothing constant takes the value between 0 and 1;
or has value of either 0.1 to 0.9.
With value more than 0 .5 (categorized as high), it gives more weight to
recent data;
with value less than 0.5 (categorized as low), it gives more weight to past
data.
With value equal to 0.5, forecast is giving emphasis on the past 3 periods;
With value equal to 0.1, there is little weight on recent data and more on
Past, about 19 periods in the past.
Naïve start is used in absence of forecast data. It is the actual prior period data to period t.
Sample Problem: Estimate the rate of increase in yield of mushroom for April...

...MAT 117 /MAT117 Course
Algebra 1B
MAT 117 /MAT117 Week 5 Discussion Question
Version 8
Week 5 DQ 1
1. What are the two steps for simplifying radicals?
2. Can either step be deleted?
3. If you could add a step that might make it easier or easier to understand, what step would you add?
4. Provide an example for your classmates. (It must be a simplifying radical example)
RESPONSE
When simplifying radicals, there are two steps that you should follow and it is important that you do not skip either step. The steps needed to simplify radicals are to:
1. Determine the largest perfect nth power factor of the radicand
2. Use the product rule to factor out and simplify this perfect nth power.
If I could add a step that might make it easier or easier for me to understand, that step would be to factor the radical expression. This would help me to visualize on paper rather than in my head what the largest perfect nth power factor of the radicand might be. I find that for me, it is easier to solve or simplify something if I have a visual or example in front of me, as I am a hands on learner.
My example for simplifying radicals for the class to solve would be:
√1296
RESPONSE 2
There are two steps for simplifying radicals. The first step is to determine the largest perfect nth power factor of the radicand. For example, 75 has several factors which are 1, 3, 5, 15, 25, and 75. The largest perfect...

...expressions
The Expressions Company began in 1988 as The Expressions Card and Stationery Shop, offering greeting cards and other paper products exclusively distributed by Sterling Paper.
Two decades later, The Expressions store has grown to over 40 branches nationwide and has expanded its merchandise to include complete lines of school and office supplies, gift and novelty items, computer supplies and reading materials, living up to its current positioning as "Your affordable school and office supplies store."
Guided by the Mission to provide convenient retail solutions and a happy shopping experience to customers across the nation, Expressions has made its stamp in the country with awards such as Outstanding School & Office Supplies Retailer at the 12th Annual Asia Pacific Excellence Awards, Most Outstanding Office & School Supplies Retailer at the 2005 Philippine Marketing Excellence Awards, and No. 1 Stationery Brand at the 2005 People's Brand Awards.
EXPRESSIONS
The flagship brand, Expressions, is more than your average school and office supplies shop. On top of basic finds, it offers customers an expanded collection focused on creative and personality-based merchandise, making it the country’s leading school and office express shop.
MART ONE
Born out of the provincial need for an urbanized shopping experience, Mart One offers the best of the Metro at...

...In mathematics, an algebraic expression is an expression built up from constants, variables, and a finite number of algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).[1] For example, is an algebraic expression. Since taking the square root is the same as raising to the power ,
is also an algebraic expression.
A rational expression is an expression that may be rewritten to a rational fraction by using the properties of the arithmetics operations (commutative properties and associative properties of addition and multiplication, distributive property and rules for the operations on the fractions). In other words, a rational expression is an expression which may be constructed from the variables and the constants by using only the four operations of the arithmetic. Thus, is a rational expression, whereas is not.
A rational equation is an equation in which two rational fractions (or rational expressions) of the form are set equal to each other. These expressions obey the same rules as fractions. The equations can be solved by cross-multiplying. Division by zero is undefined, so that a solution causing formal division by zero is rejected.
Algebra has its own terminology to describe parts of an expression:
1 –...

...On the outside you would think that a blizzard would be very different than a hurricane. They are quite similar in their makeup and destructive powers. They are just two of the natural disasters that our planet has to offer and seem to becoming more common. Hurricanes and blizzards are two of the worst natural disasters that are like twisted sisters in Mother Natures destructive family. I will show how they are so closely related from their startup to finish.
Blizzards are heavy snowstorms with very frigid temperatures. The temperatures can reach to a 32 degrees to a staggering – 42 degrees, when that happens there more effects on the body. Visibility can be zero to 25 miles. The winds along with the low temperatures combine with the snow to create a blizzard. Blizzards usually last only few hours but you get everything at once. Blizzards bring wind, snow, and ice all at once; the blizzards are more spontaneous because there is not very much of a warning because the storm does not show how it is going to be until it arrives.
Hurricanes are intense, rotating oceanic weather system that processes maximum sustained winds. Temperatures in a hurricane range from 50 degrees or higher. Hurricanes generally are smaller than storms in the mid-latitudes. The winds spiral inward in a counter clockwise position. Hurricanes tend to last for four days and are a gradual build-up of elements before the actual storm arrives. Hurricanes give a little warning...

... (Desiree)
EAP Compare and contrast essay, Week 10 (28-31 July 2014)
Compare learning English in Mexico to learning English in Australia.
Paragraph 1: Introduction
What do you think about learn English in your country compared to learn in Australia? Is a question that everyone ask when choosing where study English. The class structure, teachers and the environment outside class are 3 areas that relate to studying at home or overseas. All has an important influence when studying English. In the first place, there are many similarities and differences between choosing study English in your country to study English in other country, but in general there are more differences. Both options can be beneficial when you decide study English. In this essay will be discuss all the similarities and differences between learn English in Mexico to learn English in Australia, mention the class structure, teachers and the environment outside class.
Paragraph 2: Sub topic 1 – Compare (‘Class Structure’)
To begin with classes with 15-20 students in a classroom, this can be change all the time is not exactly always but it is the common number of students. Secondly, the teachers teach grammar, speaking, writing, listening and reading. There are exams or tests every week and it is important to pass them. Thirdly, everyone can learn English in a private school or in English courses. You need to take a course to present the TOEFL or IELS....

...
Arun Jaitley has turned out to be the most important person in the new government after Prime Minister Narendra Modi, with three heavy portfolios of finance, defence and corporate affairs, it was announced Tuesday.
The Rashtrapati Bhavan released the portfolio allocation of 46 ministers, including 24 cabinet ministers, of the government sworn in Monday evening. Sushma Swaraj is the new foreign minister and Rajnath Singh will head the home ministry.
Modi has kept with him, like some of his predecessors, the portfolios of personnel, public grievances and pensions as well as the departments of atomic energy and space besides any other department not allocated to any minister.
He will, as the presidential communique states, be in charge of "all important policy issues".
Rajnath Singh, the BJP president who is likely to hand over the party baton to someone else, gets the important portfolio of home (interior) and Sushma Swaraj gets both external affairs and overseas Indian affairs.
M. Venkaiah Naidu, a former BJP president, also gets a lot of responsibility with urban development, housing and urban poverty alleviation as well as parliamentary affairs.
Nitin Gadkari, another former BJP president, takes charge of road transport and highways as well as Shipping while D.V. Sadananda Gowda will the railway minister.
V.K. Singh, a former army chief, is the minister of state for external affairs, overseas Indian affairs and development of north eastern region...

...1 Compare, contrast and evaluate the contribution made by Solomon Asch and Muzafer Sherif to our understanding of conformity.
Conformity is one’s tendency to tweak his own perception, opinions or behaviour in ways that are consistent with group norms which are patterns of action which people feel compelled to subscribe to because they appear to be appropriate, moral or ethical (Kassin et al, 2014). Muzafer Sherif and Solomon Asch conducted two classic studies that dramatically contributed to the current understanding of social conformity: this essay will compare, contrast and evaluate the contribution made by the two researchers.
In 1936, Sherif reported a concern for the dramatic worldwide changes in social life associated with the '30s (great depression, rise of totalitarian regimes, post-war situation); Sherif was preoccupied with the important tensions in society that arose during this period. When the normal historical patterns of interaction break down, people spontaneously evolve their own norms.
Sherif attempted to re-produce in a laboratory experiment how norms could be seen to be evolving in society. In his classical study participants were placed in a darkened room; fifteen feet in front of them a pinpoint of light that will move around was shown: participants were required to estimate how far it moved. Sherif noticed that when the subjects performed alone, they established a subjective range of response limits which remains...