Formula For Finding The Hypotenuse Of A Right Triangle What Is Angle of Elevation?

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What Is Angle of Elevation?

Angle of Elevation Definition: Let us first define Angle of Elevation. Let O and P be two points such that the point P is at higher level. Let OA and PB be horizontal lines through O and P respectively. If an observer is at O and the point P is the object under consideration, then the line OP is called the line of sight of the point P and the angle AOP, between the line of sight and the horizontal line OA, is known as the angle of elevation of point P as seen from O. If an observer is at P and the object under consideration is at O, then the angle BPO is known as the angle of depression of O as seen from P.

Angle of elevation formula: The formula we use for angle elevation is also known as altitude angle. We can measure the angle of the sun in relation to a right angle using angle elevation.Horizon Line drawn from measurement angle to the sun in right angle is elevation.Using opposite, hypotenuse, and adjacent in a right triangle we can find finding the angle elevation. From right triangle sin is opposite divided by hypotenuse; cosine is adjacent divided by hypotenuse; tangent is opposite divided by adjacent. To understand angle of the elevation we will take some

Angle of elevation problems. Suppose if a tower height is 100 sqrt(3) metres given. And we have to find angle elevation if its top from a point 100 metres away from its foot. So let us first collect information, we know height of tower given is 100sqrt3, and distance from the foot of tower is 100 m. Let us take (theta) be the angle elevation of the top of the tower…we will use the trigonometric ratio containing base and perpendicular. Such a ratio is tangent. Using tangent in right triangle we have,

tan (theta) = perpendicular / adjacent

tan (theta) = 100sqrt(3)/100 = sqrt(3).

tan (theta) = tan 60

theta = 60 degree.

Hence, the angle elevation will be 60 degree

Example: The elevation angle of the top of the tower from a point on the ground, which is 30 metre away from the foot of the tower, is 30 degree. Find the height of the tower.

Solution: Let AB be the top A of tower height h metres and C be a point on ground such that the angle elevation from the top A of tower AB is of 30 degree.

In triangle ABC we are given angle C = 30 degree and base BC = 30 m and we have to find perpendicular AB. So, we use those trigonometrically ratios which contain base and perpendicular. Clearly, such ratio is tangent. So, we take tangent of angle C.

In triangle ABC, taking tangent of angle C, we have

tan C = AB/AC

tan 30 = AB/AC

1/sqrt(3) = h/30

h = 30/sqrt(3) metres = 10 sqrt(3) metres.

Hence, the height of the tower is 10 sqrt(3) metres.

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Formula For Finding The Hypotenuse Of A Right Triangle An Introduction to the Pythagorean Theorem

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An Introduction to the Pythagorean Theorem

Mathematicians have labored for ages to discover relationships within triangles along with other polygons. One of the famous and beneficial relationships ended up being uncovered by the Greek mathematician called Pythagorus. He found the sides of a right triangle are related in the following way:

When the lengths of each of the shorter two sides (the legs) of the right triangle are squared and the squares added together, the total is the same as the length of the 3rd side (called the hypotenuse) squared. So should you notice a right triangle, keep in mind that the lengths of the 2 smaller sides are related to the length of the longest side.

If an individual had time to form three external squares from each side of any right triangle, you will discover the smaller squares result in an interesting relationship as compared to the big square.

A triangle whose edges measure 3 units, 4 units, and then five units is one of the most well-known triangles in just about all of mathematics. Squaring each of the 2 smaller sides yields nine sixteen Equals 25 sq units. The longer side is five units, which means its square has an area of twenty-five square units. This arrangement holds true for each and every right triangle.

Many problems that deal with right triangles yield decimal answers. However, there are many examples of whole numbers combinations that are possible in right triangles. Some of these are:

three, four, five
six, eight, ten
five, twelve, thirteen
seven, twenty-four, twenty-five
eight, fifteen, seventeen

Each of the above combinations represent the three lengths of a right triangle. In class, teachers often begin to teach the concept of the Pythagorean Theorem using whole number examples. Later in class, many of the answers may contain one or more sides whose lengths are not whole numbers.

In a right triangle, the 2 smaller sides are legs and the longest side is known as a hypotenuse. Usually a stands out as the shorter of the two legs and b is usually the longer of the legs. In some cases, a is the identical length as b. All right triangles contain a lengthiest side that is directly across from the right angle. This longest side is represented by the variable “c” and it is referred to as the hypotenuse.

Frequently, major findings in science and math obtain distinctive names. Since this special relationship within right triangles was unearthed by Pythagorus, it has been referred to as Pythagorean Theorem in his honor.

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Formula For Finding The Area Of A Triangular Prism Geometry for Beginners – How To Find the Surface Area and Volume of Prisms

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Geometry for Beginners – How To Find the Surface Area and Volume of Prisms

Welcome to Geometry for Beginners. In this article, we are going to start looking at the 3-dimensional equivalents of the 2-dimensional relationships of perimeter and area. Perimeter of polygons refers to “the distance around” while the area of polygons refers to “the space inside.” For 3-dimensional figures, like prisms, “the distance around” becomes surface area; and “the space inside” becomes volume. We will be introducing the formulas for finding both surface area and volume of prisms and discussing applications of these concepts.

Before we discuss the formulas, we need to make sure we are all picturing the same kind of figure. Let’s use a cereal box for our mental image. Our cereal box is an example of a right rectangular prism. RIGHT because the sides (lateral faces) are perpendicular to the top and bottom (bases). RECTANGULAR because the bases (top and bottom) are rectangles. PRISM because the figure has two identical polygonal bases that are parallel to each other and 4 lateral faces that are rectangles.

Note: If the sides were not perpendicular to the bases, the figure would be OBLIQUE–not right, and the lateral faces would be parallelograms rather than rectangles. An oblique triangular prism would have sides NOT perpendicular to the bases, the bases would be triangles, and the 3 lateral faces would be parallelograms.

Again, picturing our cereal box, surface area would refer to the packaging or the box itself. For package manufacturers, the amount of material needed for each box is extremely important. The cereal inside the box would represent the volume of the package, assuming the box is full. This is an equally important business concern.

The formulas for surface area and volume will look unusual because they use symbols we haven’t used before, but only the symbols are new. You already have the skills to use these formulas!

Formula for the Surface Area of Prisms: SA = 2B + LA, where SA is surface area, B is AREA of the base, and LA is lateral area.

Thus, to calculate the surface area of a prism, we must first calculate B, the area of whatever polygon forms the base, using the appropriate formula for the shape. Then, this value must be multiplied by two since there are 2 bases.

Next, we must calculate the lateral area which is the sum of the areas of the sides. Since the sides are either rectangles or parallelograms, we will use the formula A = bh. Then add the sides together for the lateral area. Caution! Be certain you are using the actual height and not a side if the sides are parallelograms.

The final step is to add your values of 2B and LA.

The best way to memorize and read the formula SA = 2B + LA is “The surface area of a prism is equal to two times the area of the base plus the sum of the areas of all the lateral sides.” Remember that area is always labeled as square units.

Formula for the Volume of Prisms: V = Bh, where, again, B is the AREA of the base and h is the height of the prism.

Caution! Remember that the edge of the prism is the height only if the figure is a right prism. If the prism is oblique, the height will have to be calculated just as is necessary in non-right triangles.

The formula V = Bh should be read as “The volume of a prism is equal to the area of the base times the height of the prism.” Remember that volume is labeled as cubic units.

I think you can tell that these formulas are actually rather simple to calculate IF you have mastered the terminology and the area formulas for 2-dimensional polygons. The secret to success in Geometry: Memorize! Memorize! Memorize!

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Formula For Finding The Area Of A Triangular Prism Famous Skyscrapers

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Famous Skyscrapers

Architectural design has advanced to a phenomenal stage where every modern city would like to boast having one of the tallest buildings. While criteria defining the tallest buildings or skyscrapers differ widely, listed below are the ten most popular architectural marvels of our time.

Empire State Building

A world famous New York City landmark and sky scaper, it rises above the island of Manhattan, about a quarter of a mile into the sky. The observatory is located on the 86th floor, 1050 feet above the ground and offers the most breathtaking and panoramic view of Manhattan and beyond from within a glass enclosed pavilion. Besides the observatory there are several tourist attractions, including, restaurants, shops and banks. It also has a New York SKYRIDE an independently owned and operated simulated helicopter ride and virtual-reality movie theatre. William Lamb, an architect at Shreve, Lamb and Harmon was chosen to design the Empire State Building in 1930

Petronas Towers

Petronas Twin Towers in Kuala Lampur lay claim to being the tallest twin towers of the 20th century, standing at a height of 1483 feet. They were designed by architect Cesar Pelli and completed in 1998. The 88-floor towers are constructed largely of reinforced concrete, with a steel and glass facade designed to resemble motifs found in Islamic art, a reflection of Malaysia’s Muslim religion. The towers feature a sky-bridge between the towers on the 41st and 42nd floors which is 170m high and 58m long.

Sears Tower

Architect Bruce Graham designed the Sears Tower of Chicago in 1974. At 1450 feet, and 110 stories, it is the tallest building in the United States of America. The construction system consists of steel fram with bronze tinted glass curtain wall. The Sears Tower Skydeck observation deck and tourist attraction is on the 103rd floor, 1353 feet above the ground.

Bank of China Tower

Located in Honk Kong, in addition to being one of the famous skyscrapers in the world, it is one of the most outstanding achievements of modern architecture. The construction was started in 1985 and completed in five years by the architects I. M. Pei & Partners and Sherman Kung & Associates. The building standing at 1205 feet, is a grouping of four triangular glass and aluminium towers of different heights, all emerging from a single granite podium. The changes rising from a square base to a single spire results in a magnificent façade of angles and profiles that reflect the light and seem almost crystalline in composition. On the 42nd floor is a sky-deck providing a panoramic view of the northwest Hong Kong.

Chrysler Building

Rising at 1046 feet, it was considered to be an engineering marvel and the tallest building in 1931. However, it still remains the tallest brick building in the world. The tower is a beautifully tapered stainless steel crown supporting the famous spire at its peak. A quintessence of skyscraper design, the Chrysler Building is a perfect example of Art Deco and has a lobby clad in different marble, onyx and amber.

Taipei 101

At a height of 1671 feet, this high-rise building has surpassed all to become the tallest skyscraper today. Taipei 101 holds the world record in three of the Council on Tall Buildings and Urban Habitat’s height categories: tallest to the structural top, tallest to the roof, and highest occupied floor. The 89th floor has an indoor observation area while the 91st floor has an outdoor observation deck, known as the highest in the world. The pagoda shaped design of this building is inspired by traditional Chinese architecture. The sectioned tower is also symbolic of the bamboo plant characterizing strength, resilience and elegance. The tower’s design specifications are based on the number 8, considered lucky in the Chinese culture.

Jin Mao Building

This building in Shanghai symbolizes the progress and advancement made by the Chinese. It boasts of being the first tallest sky scrape in the country and the third tallest in the world. A great blend of East-West architecture it denotes aptly the emergence of Shanghai as a modern global city. It follows the versatility model by offering retail at it base, offices above and the Grand Hyatt’s World’s highest Hotel occupying the upper 38 floors. The magnificently designed building combines the elements of traditional Chinese architecture and a vastly Gothic influence.

Burj Al Arab

The Burj Al Arab rises to a level of 1053 feet, and is known as one of the world’s tallest structure with a membrane façade, 24-meter wide helipad. This is the tallest operating hotel building in the world and the design is influenced by the profile of an Arabian sailing ship. The Al Muntaha restaurant is located 200 meters above the Persian Gulf offering a panoramic view of Dubai while the atrium is situated at a height of 180 meters.

CN Tower

At a height of 1815 feet, the CN Tower in Toronto is the tallest building and freestanding structure in the world. It is considered to be the signature icon of the city and hosts almost two million visitors a year. The view from the exterior glass floored observation deck located 342 meters above ground is breathtaking as it is exciting. It also has the Space Deck at 447 meters, the world’s tallest observation deck with a 160 km view and the revolving 360 Degree Restaurant.

Hancock Place

A reflective obelisk sky scrape at Boston is an architectural marvel. It is regarded as ‘icily magnificent’ wherein the surface changes as the day changes, each side reflecting the color of the sky it faces. Moreover, this dramatic effect is highlighted by the parallelogram shape of the prism, which provides uniquely differing reflections on adjoining surfaces.

The architectural buildings mentioned above are famous creations and literally considered architectural works of art today.

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Formula 1 Drive To Survive Season 3 Release Date Analytics in Football – A Double Edged Sword

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Analytics in Football – A Double Edged Sword

Sports as we know it today has come a long way. There were times when watching sports on television was considered a massive step forward in terms of technology. Fast forward 60 years, watching sports on television has become the most basic thing. Today we watch sports on the go on our mobile phones or any device with a screen and internet connectivity. Proud of how far we’ve come, aren’t we? Hopefully I can change your opinion on that by the end of this article.

What is sports all about? Sports is a bunch of people getting together to play a game with pre defined rules and a referee to ensure that these rules are adhered to during the passage of play. I am a sport lover and play sports all time. My love for tennis and soccer in particular cannot be defined. My issue when it came to technology and advanced analytics was with the game of soccer in particular. Soccer is such a beautiful game. The strategies that the coaching staff come up with and the way it is executed on field by the players, it actually is a thing of beauty. I was a soccer player myself (just an average one at that) and have been part of various teams. I know firsthand how strategies are built, how much thought goes into one single run of play.

Enter -> Advanced Analytics

Most of you would’ve seen the movie Moneyball. The movie was based on the book Michael Lewis wrote in 2003. It talks about how a jock turned luminary uses advanced statistics to gain a competitive edge over his better funded opponents. This book brought about a revolution is sports. Fans and boards of soccer clubs didn’t want to settle for subpar statistics or analytics anymore. What Moneyball did is, it took an old cliché – “sports are businesses” and made us move on to the next logical question – “how do we do things smarter?”

Now let’s talk about advanced analytics. Advanced analytics in today’s world plays a massive role in every business sector. Advanced analytics has been a boon for us. Moving from descriptive analytics to prescriptive analytics, we actually have come a long way. In various businesses, where the requirement is demanding, advanced analytics are of utmost importance.

When we look at soccer, its a game that does not require too much machine intelligence, it is a game that needs the human element. When you bring in analytics and technology and try to reduce the human element in the sports, it simply just crushes the spirit of the game.

Relying on analytics heavily killed the Premier Leagues long ball game and brought in the pressing, continual passing tiki-taka. Each league for that matter had its own style of play. The Premier League had the brash and brazen style of football that was termed “The way real men play football”. There were beautiful long balls, harsh tackles but all the players just sucked it up, walked it off and it was all up to the referee on the pitch to penalize the offender or not. There were arguments and fights, the passion from the fans was crazy, that was the football that screamed of passion, when players got in the face of other players not fearing punishment. The Eric Cantona’s, the Ivan Genaro Gattuso’s, the Jaap Stam’s of the football world went missing soon enough and the diving and the biting began. Then there was the tiki-taka style of football that was played in the Spanish La Liga, the silky style of play that caught everyone off guard. The legendary Pep Guardiola and his army at Barcelona were the masters of the tiki-taka. There was Real Madrid who were always a star studded line-up with excessive parts of their play relying on lightning quick counters which most often than not left the opponents stunned. There was Manchester United who had their own brand of football being managed by the legendary Sir Alex Ferguson. That United team was a team of sheer grit and character. Each of these leagues had their own beauty and the teams had their own style of play.

When you bring in excessive technology and analytics, there emerge sorry technologies like VAR (Video Assistant Referees).

There are 3 stages as to how the VAR works:

Step 1

Incident occurs

The referee informs the VAR, or the VAR recommends to the referee that a decision/incident should be reviewed.

Step 2

Review and advice by the VAR

The video footage is reviewed by the VAR, who advises the referee via headset what the video shows.

Step 3

Decision or action is taken

The referee decides to review the video footage on the side of the field of play before taking the appropriate action/decision, or the referee accepts the information from the VAR and takes the appropriate action/decision.

Now the referee can consult with VAR for basically any doubts he wants clarified. What does this do?

• Removes the human element from the game.

• Takes up excess time and brings too many stoppages within the game, a game that was previously free flowing and continuous.

This makes it similar to Formula 1 racing. The analytics which brought about the fuel weight management systems and the numerous pit stops took the continuity out of the race and viewership reduced with the increase in technology. A pretty similar trend might occur in football if this implementation becomes mandatory.

The Positive Side of Advanced Analytics in Soccer:

Analytics are not all that bad in football. Let’s take the case of when Simon Wilson joined Manchester City in 2006. Simon Wilson was a consultant for an analytics startup called Prozone initially. He joined City to start a department of analytics and hired the best data analysts under him. He wanted to change the way how data was used by football teams. He saw that, after a defeat there was no introspection as to why they had lost and what needed to be done next time. City were a mid table club at that time. In September 2008, when the club was acquired by the Abu Dhabi United Group for Development and Investment, a private-equity outfit owned by a member of the Abu Dhabi royal family, the team suddenly found itself with the resources necessary to mount a challenge for the Premier League. Today, Wilson is Manchester City’s manager of strategic performance analysis. He has five departments under him, including the team of performance analysis, which is now led by a sports scientist named Ed Sulley.

After each match, the team’s performance data would be examined. The list is extensive. Line breaks (a rugby term), ball possession, pass success rates, ball win/loss time ratio were what used to be analyzed. “Instead of looking at a list of 50 variables we want to find five, say, that really matter for our style of play,” says Pedro Marques, a match analyst at Manchester City.

“With the right data-feeds, the algorithms will output the statistics that have a strong relationship with winning and losing.” Wilson recalls one particular period when Manchester City hadn’t scored from corners in over 22 games, so his team decided to analyze over 400 goals that were scored from corners. It was noticed that about 75 percent resulted from in-swinging corners, the type where the ball curves towards the goal. The next 12 games of the next season saw City score nine goals from corner.

Teams are investing heavily in analytics today and it is working in their favor. Look at where Manchester City are today, sitting atop the Premier League table and not being threatened at all. Look at Manchester United this season, their game has been such where their possession percentages are low but their goal conversions are high. The Manchester Derby on 7th April 2018 saw United have only 35% of the possession but they managed to trump City 3-2. Each team has their set of analysts who provide inputs as per the strength of the team.

Advanced analytics is like the coin Two Face in Batman has, “Heads you die, Tails you survive!”

It can reap crazy rewards from a team’s point of view but at the same time can disrupt the lovely game by bringing in unnecessary stoppages, replays and by taking the human element out of it. The numerous replays and the different angles, show the fans if the referee has made an error or not. Let the error happen, after all to err is human. Refereeing in soccer is not an exact science and it’s all real time. Let there be arguments about a decision, let the passion in the argument come through. Do you want to watch a football match like the El Classico or the Manchester Derby and sit with your bunch of friends and say “it was a very clean game, the best team won!” Hell NO! Don’t drive the passion out of soccer with technology and analytics. Let soccer be soccer and let technology stay away!

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Find The Formula For The Exponential Function With Points Understanding Marketing – An Overview of Strategies, Costs, Dangers and Risks

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Understanding Marketing – An Overview of Strategies, Costs, Dangers and Risks

What is Marketing?

Marketing is a business discipline through which the targeted consumer is influenced to react positively to an offer. This can relate to the purchase of a product or a service, the joining of an organization, the endorsement of a candidate or ideology, the contribution or investment in a cause or company, or a variety of other choices of response.

The marketer can use a number of techniques to reach the consumer which can be based on artistic or scientific strategies, or a combination of the two.

Usually, the consumer is identified as a member of a particular segment of the populace, known as a market. For example, markets can be defined by age, income, area of residence, home value, interest, buying habits, industry or profession, etc., which facilitates and simplifies the marketing process. Knowing to whom the marketing effort is appealing greatly assists the marketer in developing appropriate language, reasoning and incentives to find success in its marketing efforts.

Choosing to target a particular market as opposed to the entire universe also greatly controls marketing expenditures but also may limit response. If anyone anywhere can be a customer, sales expectations may be higher but marketing costs will certainly also need to be higher as well with such a huge target as its goal.

To address this dilemma, more creative means of marketing are sometimes utilized to assist with marketing message delivery. If what is being marketed is considered newsworthy and of public interest, editorial coverage in the media can greatly assist marketing efforts. Since this usually is not reliant on major marketing funds other than what is needed to support the development, distribution, and yes, marketing of press releases to editors and publishers, the advantages of such publicity can be priceless, albeit usually miraculous on such a large scale.

Marketing is everywhere!

Everywhere we turn, everything we do is somehow connected to marketing, whether we have been induced to participate in some activity because of it or develop an interest in some idea as a result of it. Whether we realize it or not, there are personal, political or commercial agendas cloaked as news we read in the paper, behind the books, movies and music we experience as part of our culture, and within the confines of our stores and supermarkets where we shop. Of course, we easily recognize the blatant marketing efforts that reach us through direct mail, media advertising, and all over the Internet including the spam we receive ad nauseum. Marketing has become one of the most all-pervasive elements of life and we are fools if we do not question the validity or innocence of everything we read, see and hear.

Marketing is communication and education!

In order to be successful in business marketing, the customer must be reached in a variety of ways. First of all, not every customer gets the daily paper or listens to local radio. We have limited knowledge of which TV station they may watch, where they shop, what roads they travel or where they dine. Depending on what we are marketing, we may have to utilize a whole assortment of avenues of marketing to get their attention. And, if we reach them just once, that is hardly enough to make a lasting impression. Marketing is necessary on a repeated basis in a diverse number of ways in an ever-changing presentation to assure that every customer can relate to it in some way, learn what we are offering and understand how it can benefit them. To achieve long-term customer loyalty, the targeted consumer needs to be coddled into familiarity with what we are selling so they feel it is something they truly want as opposed to having it forced upon them as something they desperately need, only to find out later they were tricked!

Marketing Sounds Expensive!

Yes, marketing can get pricey particularly if it is done on a consistent basis. But in today’s world, we have marketing options we never had even twenty or thirty years ago. Now, instead of paying for expensive printing and postage to mail a brochure or postcard to a targeted consumer, we can utilize email marketing, website presentations or online banner ads to reach the same market, usually at a fraction of the cost. Today, instead of buying expensive print advertising, we can work on improving our website’s SEO (search engine optimization) – (something we can do for free, if we are so inclined) so that people in need of what we offer can find us through Internet searches, rather than our trying to find them at an astronomical expense.

What About Social Media Marketing?

In addition to alternative marketing options already mentioned, there is the latest craze for Facebook, Twitter, LinkedIn, and other incredibly popular social media where people, young and old, spend hours developing relationships with “friends” they may never have met or ever will meet. Yet they share intense secrets of their deepest thoughts and desires as well as actual photographic representations of the same which sometimes land people in trouble with the law, or at the very least, their employer, school or parents.

Whether social media marketing is a worthwhile endeavor for businesses remains to be seen since businesses rarely accumulate millions of followers the way celebrities do. But as a way for customers to interact with a business for which they may have developed a fondness cannot be disputed. Can this translate into more sales for the business? We’ll have to wait and see, while continuing to devote precious time to composing meaningful 140-character tweets and building a Facebook “persona” for the business. From this writer’s standpoint, the only worthwhile social medium for business is that of LinkedIn since it provides a serious platform on which to create a business résumé where anyone interested in your professional stature can quickly summarize your capabilities, experience and accomplishments.

Marketing Can Be Intuitive

Much of what becomes marketing strategy is based more on common sense than on some mysterious scientific formula. As we see on a daily basis in stock market gyrations as well as political leanings, the herd mentality rules. On any particular day, if the Japanese or European stock or bond markets are selling off for one reason or another, you can safely bet that the U.S. markets will follow suit. And in any political race, as we are witnessing in the U.S. presidential primaries, the more one candidate gains ground, baby step by baby step, the more likely that candidate will become the Party nominee. Today’s world is governed by a minute-by-minute opinion survey measured by the endlessly publicized polls where people see what other people are thinking and use those results to form their own opinions. Monkey see, monkey do. The same holds true for marketing.

If we are told that a certain brand of coffee is the leading brand in America, we will probably believe what we are told, assume it tastes best, perhaps buy it ourselves regardless of cost, and perhaps adopt it as our own favorite. All because we were told everyone else was doing it. Safety in numbers, as they say.

It is ironic that those who become successful marketers usually dwell on the outskirts of the herd, have a more astute grasp of mass psychology, and approach business and life in a more innovative, creative and unique way, a mindset they use to formulate the next marketing phenomenon. The world is made up of leaders and followers: a few choice leaders and a glut of followers. It takes a lot more gumption to become a leader than it does to join the herd. That’s why marketing is a profession based in psychological control by a choice few over the mindless masses who have no initiative or courage to decide for themselves.

What is the difference between marketing and selling?

Selling is one aspect of the greater process of marketing. Marketing begins long before the product or service is even ready to sell. Marketing encompasses the concept, naming, branding and promoting of the offer while selling is the much more individualized effort to convince a lead who has possibly responded to the marketing offer to make the purchase. You can’t have one without the other, at least not easily. Marketing is a process by which we strive to reach the final goal of making the sale. Without marketing, the sales process is extremely difficult because the entire onus of educating the consumer about the offer is on the shoulders of the sales representative. On the other hand, if marketing has been successful, the sales rep can waltz in knowing the consumer is well apprised of the offer and can work his magic to convert the prospect into a satisfied customer.

What are some of the instruments of marketing?

There are many ways to market an offer, some of which are expensive, and others of which can be free. The methods we use that cost us dearly may not work as well as some of those we receive as a gift. Among the costly ways are media advertising, direct mail, conference presentations, distribution of printed literature, online advertising, email marketing, etc. Of those that are free are efforts referred to as guerrilla marketing, which are things we do ourselves to spread the word, network and publicize what we are offering. This can include posting flyers on bulletin boards in supermarkets, libraries, delis, small shops, and government offices, etc. Every time we add a tag to our emails where people can click to go to our website, we are using guerrilla marketing at no cost. Making sure we are easily found in Internet searches through search engine optimization of our website or other online presence, is an excellent way to achieve free marketing. One way to do this is to register your company or organization on every possible free online directory in your industry, region or interest group which translates into exponential growth as time passes.

What is viral marketing?

Viral marketing (as it relates to the word “virus,” meaning contagious and capable of spreading) is another means of free promotion facilitated by shrewd decisions we can make to further our cause. The easiest way to define viral marketing is that which is communicated via “word-of-mouth.” Related to the herd mentality discussed above, if a friend or business acquaintance mentions a product or service in a favorable light, we will be much more inclined to remember it and check it out. This can happen in a business meeting, at a mall, at a soccer game or over lunch. However, since most of us spend so much time on the Internet, it can happen practically everywhere we turn by clicking on the “like” buttons on Facebook or the “1” button on Google, among others. These are our personal endorsements where we give a “thumbs up” to something we have experienced and want to share with our friends so they too can enjoy it. Getting your offerings out with such buttons attached can result in viral marketing in your favor.

Viral marketing can have powerful repercussions as experienced by one client with an online auto accessories store. Many of his customers frequent online special interest forums related to the model of car they drive where members discuss products they have installed and the source of their purchase, followed by a link to his referenced website. Such referrals are repeated in other ensuing discussions, multiplying the number of links back to his site, increasing the power of his SEO and catapulting him to the tops of Internet searches for what he sells. He paid nothing for this phenomenon of parlayed good fortune except the daily effort he consistently expends to offer top quality merchandise and equally excellent customer service.

Do you need marketing?

If you are in business, of course you do. While you can attempt to do as much of it as you can on your own, it is advised that you begin with a reliable base of professional name, logo, website and search engine optimization to get started on the right foot. From there, you can work on promotion via guerrilla marketing and seek professional marketing services as needed for special needs, like a strong, effective ad to run, the development of professional sales literature to distribute at an upcoming show, or a direct mail promotion to your list of repeat customers, for example. Some business people choose to handle their own taxes to save on the cost of using an accountant for such critical functions at the risk of getting audited. Likewise, you can certainly attempt to produce marketing tools yourself but for long-term branding purposes and best return on investment, it is advisable to leave marketing development to the professionals.

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Find The Formula For The Exponential Function With Points Alcohol, Aging, and Curing Cancer

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Alcohol, Aging, and Curing Cancer

Recent media coverage has been devoted to the ability of alcohol to extend human life span. A rather insolent statement considering the historical barrage of disparaging findings regarding alcohol and its secondary ill health effects. However, if we isolate this one finding without examining the broader context of alcohol’s adverse health effects, in the long run, we probably do more harm than good.

Using Albert Einstein’s famous equation,

E=MC2

I have formulated the Time Longevity equation. By replacing the velocity of light coefficient with its equivalent velocity variables (distance/time), I have generated the Time or Longevity equation. Time equals the square root of distance squared times mass times the inverse of energy. I have proclaimed this formula, The Rainer Time Longevity Equation.

Rainer’s Time Longevity Equation

T=√D2x M x 1/E

Rainer’s Time Longevity Equation states that an organism’s life span is interdependent on three variables. Those three variables are Distance (D), Mass (M), and Energy (E). Animals of various species, including man, may alter these three variables in order to prolong life. Since time is relative to movement through space, animals may slow the aging process by forward movement through space. The greater the distance covered, the greater the positive impact on longevity. Animals that have the capacity to fly have an increased (D) variable compared to their non flying counterparts. Likewise, animals that typically fly or swim large distances will have a similarly increased life span. In short, caging migratory animals equates to a death sentence. The Galapagos Tortoise for example, has capitalized on all three variables of Distance (D), Mass (M), and Energy (E) in order to maximize its average life span of 150 years. The tortoise shuttles through the ocean’s currents (Increased D); It possesses a large inert shell that requires no metabolic maintenance (Increased M); Tortoises possess exceedingly slow movement with a similarly decreased metabolic rate (Decreased E).

Man has achieved greater longevity through modernization which includes amongst other things, more rapid travel modalities (Increased D). Air travel has helped push man’s life span to higher limits. Space travel shows even greater promise in extending man’s life span. Increased Mass allows larger mammals to extend their life span by increasing the (M) variable. Man may also alter time by manipulating the Mass (M) variable. Ancient Egyptians brilliantly utilized this fact by spending time residing in pyramids. Bear in mind, that a pyramid by virtue of its construction, is virtually entirely mass. Modern French researchers were astounded when they placed a dead cat and raw fresh meat in the interior of the Great pyramid, only to find both items exquisitely preserved days later. Likewise, Dinosaurs improved their life span by virtue of their enormous mass.

Lastly, this brings us to Energy (E), the final variable of the Rainer Time Longevity Equation. Given that time or longevity has an inverse relationship to energy (E), all things that decrease Energy will invariably increase time. However, I would like to point out that items that decrease the (E) variable and therefore increase longevity, may not necessarily improve the quality of life. Items that decrease the Energy (E) component and cause a decrease in Basal Metabolic Rate and secondarily increase longevity, include the following: love, marriage, hibernation, sleep, coma, stupor, caloric reduction, prayer, meditation, medicinal substances that suppress the central nervous system.

This brings us to the discussion of alcohol. Alcohol is a central nervous system depressant. Furthermore, it decreases brain endorphin production. Alcohol may increase longevity by decreasing the Energy (E) variable thus reducing Basal Metabolic Rate. However, we must not overlook the obvious ill effects that alcohol has on our overall health. Alcohol causes brain atrophy, liver cirrhosis, and promotes the formation of various types of cancer. Alcohol in a broader context has damaging effects on the body. Additionally, by reducing endogenous brain endorphin levels, alcohol robs our subconscious mind of its creativity and severs our link with God. Alcohol steals our ambition which, many may argue, is our chief purpose for existence.

Invariably, future studies will likely support findings that opiates such as heroin and codeine increase longevity by inducing a comatose state. But few would claim that periodic heroin use is beneficial in improving one’s life. Let’s not be seduced into accepting isolated research findings as virtuous advances. Embracing a morally sound lifestyle shows the most promise in extending and improving the quality of life. Enhancing endogenous brain endorphin production by routine exercise and meditation, facilitates a quality lifestyle. Naturally, man desires a longer life span. Likewise, an associated increase in life span will occur as man adopts the following lifestyle and behavior modifications: swifter travel modalities (increased D); decrease in obesity(decreased E); acquire more sleep (decreased E); prayer (decrease E);universal love (decrease E); consumption of minimal amounts of wine (decrease E); reside in structures composed of denser building materials (increase M) such as granite high rises.

I would like to add a caveat while on the topic of Energy (E). Contrary to current popular belief and aside from acute injury, a lower bone density contributes to a longer life span. High bone masses require increased metabolic rates to maintain. Likewise, an increased Basal Metabolic Rate shortens life span. As Man evolves, he sacrifices the development of high bone density for superior brain development. Asian ethnic groups, known to have the lowest bone density, likewise have the longest life span. Hence, lower bone density promotes longer life. This may ultimately encourage the use of medicinal agents targeted to enhance osteoclast activity (cells that reabsorb bone tissue) in order to improve life span. Additionally, this may discourage the use of aggressive medicinal treatments used to build bone in order to prevent osteoporosis.

The human body, given its fine tuning due to an extensive evolutionary process, capitalizes on the energy (E) component of the Time Longevity equation. The body utilizes fever as a weapon to combat bacterial and viral offenders. By raising the body’s core temperature when faced with a crisis, effectively increasing Energy (E), the body’s immune system selectively shortens the life cycle of the offending bacterial or viral agent. Hence, fever can assist the body in its effort to destroy infecting organisms. However, the body must precipitously drop the temperature once the offending threat has been thwarted in order to circumvent its own demise. Fever, although an effective defensive tool, can also prove extremely hazardous if left unchecked. Severe systemic infections may increase the basal metabolic rate (E) beyond limits compatible with life.

We must also avoid the temptation to implement detrimental behavior patterns in an effort to extend life span. This is particularly true if newly adapted practices jeopardize the quality of life or blunt the creativity of the human mind. Our minds are our cherished tools that serve as the link to connect us to our higher power. Our minds resonate with one another allowing us to share our creativity and inspiration which may then develop into a material equivalent. No substance, compound, or medicinal agent should ever compromise this higher cerebral function. Our minds empower our capacity to connect to one another, our environment, and with God. We live to promote our thought capacity for now and beyond. Our bodies merely serve as our mind’s temporary housing. Alcohol excess can evoke the brain’s capacity for addiction, a biological disease. In all fairness, two glasses of red wine consumed on a weekly basis may have some positive health benefits. Red wine with its antioxidant properties coupled with relaxants, may enable us to cope with life’s rigors. But stronger types of alcohol such as whiskey, bourbon, rum, and vodka often tax the capacity of our liver’s detoxification capabilities and therefore cause systemic illness.

Time travel is also implicit to this discussion. As we photograph a tennis player strike a ball without the aid of a freeze frame lens, we see that motion is composed of a sequence of independent movements separated by distance and time. Likewise, photographing our solar system gives us the same effect. Photos of seemingly independent planets appear separated only by distance. But, however, this is effectively one of the same. Our solar system is the evolution of one planet only– Earth. Mars is earth’s future and Venus is earth’s past. The volcanoes on Mar’s surface are merely eroded Great Pyramids of Egypt. The eerie face peering at us from Mar’s surface is our own Great Sphinx looking towards the heavens. However, the dimension of time is well into our future. Time travel is before our eyes. What appears as a seemingly array of independent objects separated by various distances is merely one of the same. Given the temperature variation of Mars, global warming then becomes a moot point.

Let’s turn our sights to one of our most challenging issues, cancer. Is there a cure in sight? We race to find a cure but we must force ourselves to look beyond the narrow scope of our lens. Increasing distance (D) and mass (M) while decreasing energy (E) will not only increase life span but also may hold the definitive key to cancer’s cure. If we focus on energy (E), from a metabolic standpoint, we make reference to Basal Metabolic Rate. Whatever variable decreases basal metabolic rate likewise decreases the incidence of cancer. Current medical standards must be revised. At best, our attempts to preserve bone mass by medicinal means is in fact an absolute route to promoting the formation of cancer. Raising bone density increases metabolic rates. An increase in Basal Metabolic rate increases energy (E) which in turn shortens longevity (T). Hence, increasing bone density increases cancer. An increase in metabolic rate is an increase in energy (E) which causes a decrease in time longevity (T). Medicinal agents that increase bone density in post menopausal years directly shorten life span. God’s naturally occurring hormonal transition has been correct all along. The production of progesterone in women’s twilight years with the corresponding decline in bone mass potentiates the duration of life. Cancer is merely the byproduct of stimulating basal metabolic rates to an extreme thus creating a cellular replicating, self perpetuating vortex. We cannot eliminate this vortex by applying more energy such as radiation. In fact, we must do the very opposite. Hence, the promise for an absolute cure for cancer lies in the basal metabolic reductive capacity of cryogenics and frigid cold baths.

The following items below decrease energy (E) or Basal Metabolic Rate and therefore help PREVENT CANCER and increase Life Span:

– Decrease in Basal Metabolic Rate

– Decrease in Bone Density

– Osteoblast inhibitor

– Antibiotics

– Sleep

– Hibernation

– Estrogen Blocker (Tamoxifen)

– Osteoclast activator

– Meditation

– Coma

– Prayer

– Exercise

– Sex

– Love

– Classical and Jazz Music

– Relaxation

– Laughter

– Caloric Reduction

– Fasting

– Progesterone

– Depo Provera

– Excessive Cold

– Moderate Wine

– Lupron

– Decreased Body Mass Index

The items listed below increase Mass (M) and therefore help PREVENT CANCER and increase Life Span:

– Residing in the Great Pyramid of Egypt

– Residing in Stone House

– Residing in a Cave

– Burrowing and residing underground

The items listed below increase Distance (D) and therefore help PREVENT CANCER and increase Life Span:

– Space travel

– Flying

– Migration

– Forward Movement

– Swimming

The items listed below increase energy (E) or Basal Metabolic Rate and therefore CAUSE CANCER and decrease Life Span:

– Increase in Basal Metabolic Rate

– Increase in Bone Density

– Osteoclast Inhibitor

– Cigarettes

– Infection

– Fever

– Carcinogenic exposure

– Excessive Heat

– Genetic Predisposition

– Bacterial exposure

– Viral exposure

– Obesity

– Osteoblast Activator

– Sleep Deprivation

– Hate

– Anger

– Stress

– Fosomax

– Androgenic Steroids

– Unopposed Estrogen

– Cocaine

– Excessive Sun

– Mifepristone (RU486)

The items listed below decrease Mass (M) and therefore CAUSE CANCER and decrease Life Span:

– Residing in a trailer

– Residing in a tent

The items listed below decrease Distance (D) and therefore CAUSE CANCER and decrease Life Span:

– Sedentary lifestyle

– Stasis or staying still

*Some items listed above are currently theoretical and require case-control study to be regarded as scientific fact

Optimizing the physical laws of nature will assist us as we make progress in increasing longevity and eradicating cancer as a health menace. We must carefully observe and analyze many of nature’s obvious examples of perfection and harmony. These examples in nature all have purpose and intent and have required exponential years of evolutionary trial and error. As man universally harmonizes in the spirit of love, all things will ultimately be achieved.

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