Random trivia

Triskaidekaphobia means fear of the number 13. Paraskevidekatriaphobia means fear of Friday the 13th (which occurs one to three times a year). 

If you sneeze too hard, you can fracture a rib. If you try to suppress a sneeze, you can rupture a blood vessel in your head or neck and die. If you keep your eyes open by force, they can pop out. (DON'T TRY IT)

Every three seconds a baby is born somewhere in the world. 

On average, 12 newborns will be given to the wrong parents every day. 

Most lipstick contains fish scales 

The most common name in the world is Mohammed. 

When you die your hair still grows for a couple of months. 

The most money ever paid for a cow in an auction was $1.3 million. 

The sound of E.T. walking was made by someone squishing her hands in jelly. 

There are 10 human body parts that are only 3 letters long (eye hip arm leg ear toe jaw rib lip gum). 

A skunk's smell can be detected by a human a mile away. 

The human heart creates enough pressure to squirt blood 30 feet (9 m). 

When snakes are born with two heads, they fight each other for food. 

The average person makes about 1,140 telephone calls each year. 

Stressed is Desserts spelled backwards. 

If you had enough water to fill one million goldfish bowls, you could fill an entire stadium. 

Charlie Brown's father was a barber. 

Dentists have recommended that a toothbrush be kept at least 6 feet (2 m) away from a toilet to avoid airborne particles resulting from the flush. 

You burn more calories sleeping than you do watching TV. 

A lion's roar can be heard from five miles away. 

The average person spends about 2 years on the phone in a lifetime.

The largest number of children born to one woman is recorded at 69. From 1725-1765, a Russian peasant woman gave birth to 16 sets of twins, 7 sets of triplets, and 4 sets of quadruplets. 

The roar that we hear when we place a seashell next to our ear is not the ocean, but rather the sound of blood surging through the veins in the ear. Any cup-shaped object placed over the ear produces the same effect 

The United States has never lost a war in which mules were used. 

Children grow faster in the springtime. 

On average, there are 178 sesame seeds on each McDonalds BigMac bun. 

7.5 million toothpicks can be created from a cord of wood. 

The plastic things on the end of shoelaces are called aglets. 

About 200,000,000 M&Ms are sold each day in the United States. 

There are no clocks in Las Vegas gambling casinos. 

The numbers "172" can be found on the back of the US 5 dollar bill, in the bushes at the base of the Linc 

Women blink nearly twice as much as men. 

Every year approximately 2,500 left-handed people are killed by using object or machinery designed for right-handed people. 

Turtles can breathe through their butts 

It’s estimated that at any one time around 0.7% of the world’s population is drunk. 

More people are kill by falling coconuts every year then sharks attack 

Mel Blanc (the voice of Bugs Bunny) was allergic to carrots 

The only 15 letter word that can be spelled without repeating a letter is uncopyrightable. 

Forty percent of Americans iron their clothes while wearing their underwear or being completely naked. 

If you eat enough carrots, your skin will eventually turn orange. 

Porcupines float in water. 

Bookkeeper is the only word in the english language that has 3 letters that consecutively repeat. 

Ants do not sleep. 

Between 1902 and 1907, the same tiger killed 434 people in India. 

315 entries in Webster’s 1996 dictionary were misspelled. 

The winter of 1932 was so cold that Niagara Falls froze completely solid. 

I am. is the shortest complete sentence in the English language. 

Annually Americans eat 45 million turkeys at Thanksgiving. 

Los Angeles’ full name is “El Pueblo de Nuestra Senora la Reina de los Angeles de Porciuncula.” 

The Ramses brand condom is named after the great pharoh Ramses II who fathered over 160 children. 

There are 66 million different possible pizza combinations on the Domino's pizza menu. 

Americans, on average, spend 18% of his or her income on transportation as compared to only 13% spent on food. 

A giraffe can lick it's own ears. 

Ketchup was sold in the 1830s as medicine. 

The most overdue book in the world was borrowed from Sidney Sussex College in Cambridge, England and was returned 288 years later. 

A giraffe's heart weighs an incredible 24 pounds. 

Walt Disney was afraid of mice. 

The word “lethologica” describes the state of not being able to remember the word you want. 

The original Coca Cola was green in color. 

It would take 1.2 million mosquitoes biting you simultaneously to drain all your blood. 

No piece of paper can be folded in half more than 7 times. 

Donkeys kill more people annually than plane crashes. 

Canadians drink more coffee than anyone else in the world. 

Evaluating Limits

A limit is the point at wich two lines will intersect and stop or a point wich a line will no longer increase or decrease. They can neither continue on because both lines are in eachothers way. Limits tell us where we can start a graph but we need to know how to find them. That is where 3 simple rules come into play. 

These all tell us how to find our limits. But wait there is a trick. You must start with substitution to begin with. Trust me it will make you life much easier. If you plug in a number and get a nember that is not 0/0 then that is your limit. If it is 0/0 then that is the intermediate form and you have to use the other two methods. 

CANCELLLATION TECHNIQUE

This is where you try to cancle out a part of an equation from either the top or bottom so it will no longer equal 0. This is just factoring and solving. Here are two examples

The next technique is more confusing and harder. 

RATIONALIZATION TECHNIQUE

This is when there is a radical in the equation. First check to make sure there is an intermediate form. If there is then you must find the conjugate of the rational. If it is 4+rad8 then the conjugate is 4-rad8. Here are a couple examples. 

Now there is a tech ique to find out what the limit is if two lines are approaching one another and either have a pont for a limit or do not have limits. This is where one uses the one sided limit form. 

Here is an example of this. 

Distance, midpoint, and sphere formulas

Today we will learn about the formulas for Distance, Midpoint, and Spheres. 

The distance is quite simple because you take your points and you take the square root of all the points (x2-x1)^2+(y2-y1)^2 and so on. You the. Take the square root of the entire equation. That easy kinda of the same with midpoint. Here are the two formulas.

Pretty simple now into spheres. The equation is simple if all points are known. The center is (h,k,j)

You then put it into the formula (x-h)^2+(y-k)^2+(z-j)^2=r^2. That is it. Just plug you points and find the answer. Simple

Cross products

A cross product is used to find the cross between two matrices. It is written as UxV. The cross product is used to find the area of parallelograms. 

Cross products are quite simple but you can make it even simpler. How? By taking the determinant of the matrix instead of all that other work. Much easier. 

Lastly is the area of parallelograms and triple scaler or vollume of parallelpiped

Squaring numbers between 60 & 40

Here's a quick way to square numbers between 40 and 60. You know the squares of 40, 50, and 60, right?

So let's show what to do for N=51 through 59. Write N as (50+R) for R between 1 and 9. Then N² will have first two digits (25+R) and last two digits R². Thus:

52²= 2704,

58²= 3364,

since 27=25+2 and 33=25+8.

The rule for N=41 through 49 is similar. Write N as (40+R) for R between 1 and 9. Then N² will have first two digits (15+R) and last two digits (10-R)². So:

42²= 1764.

48²= 2304.

3D Graps