Archive for the ‘algebra’ Category

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Dog Age in Human Years  … Forget the FANCY FORMULA

April 11, 2024

Scientists have compared dog and human DNA for signs of aging to devise a more accurate way of calculating DOG AGE in HUMAN YEARS.

A Vetmed article How to Convert Dog Years to Human Years gives research details.

The researchers provide a graph and a formula:

Original study pdf

ERROR 1

The formula does not work for a dog below the age of 1 year.

The results are ridiculous in the early weeks and extreme in the first year.

 The times 7 rule:

 

Human yrs 1 yr old dog = 7 years

 

Formula:

 

Human yrs 1 yr old dog = 31 years

 

Even if you are not familiar with the Natural Log … ln … you can plug the numbers into the Google Calculator to get the answer.

ERROR 2

The American Veterinary Medical Association (AVMA) and the American Kennel Club (AKC) use the same study to devise a Dog Age in Human Years chart, which doesn’t force a formula onto the results. Here is a graph using their chart numbers.

Kennel Club Dog age in human years link

Compare a dog at 1 Year:

 

Formula Human AGE = 31 yrs

 

Kennel Club Human Age = 15 years      (12 years for large dogs)

The researchers just made the human ages for dogs fit the formula. The formula is not accurate. It just looks smart!!!!!

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The Middle School Math Q that broke ALGEBRA!

February 26, 2024

The following Q was given to a Year 9 student as an EXTENTION EXERCISE.

Year 9!

The trouble with this algebra problem is it is soooooo tedious. Half-way through the calculations you start to lose the will to live.

Mid-calculation MATHPIG found herself confused like the chicken above. She kept going round in circles.

So Mathspig called in her friend Roger to solve the problem.

 

Thanks, Roger.

Meanwhile, IN THE REAL WORLD…

No YEAR 9 STUDENT will ever use ALGEBRA to work out their FAMILY GIFT LIST. 

For some REAL WORLD FUN with Algebra go to post below or here.

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Best Ever Fun with Algebra

February 26, 2024

Mathspig gravity plane

We all know about gravity. We worry about gravity.

GRAVITY CHALLENGE

If someone holds a pen in your hand like the gif below, then drops it,

I bet, if you keep your hand in the one position, that you can’t grab it!!!!

The maths is soooo beautiful.

www.GIFCreator.me_OLwVWU

All objects and bodies drop at the same rate of acceleration, g = 9.8 m/sec2

d = distance travelled by falling object (m)

t = time taken (sec)

pen drop formula 1

pen drop formula 2

You can test your reaction time on THE REACTION TIME CLOCK HERE.

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AI solves Middle School Math

August 11, 2023

I asked CHAT GPT to solve some Middle School Math Problems. The good news is it showed the working. 

The bad news is that if you get CHAT GPT to do your homework you will be clueless in the exam.

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2.You can out run a fireball?

July 10, 2023

In nearly every Action Movie our hero possibly holding hands with his love interest will run and jump ( just in time ) out of the way of explosion. eg. Man on Fire (2004) with Denzel Washington, The Marine (2006) with John Triton, Mad MAX FURY ROAD (2015) with Charlize Theron and Predator 2 (1990) with Danny Glover .

We will use car bomb stats that come from the U.S. Bureau of Alcohol, Tobacco and Firearms. (We in Australia can only assume this bureau exists because, um , there are many exploding cigars in America.) You will find these at Car Bomb Response.

 

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The Simple Math of the Titan Submersible Disaster

June 24, 2023

The air pressure at the sea level is 1 ATM (Atmosphere). The air you breathe is at the same pressure as your lungs.

At 10m 

( ~ 30ft ) depth water pressure is 2 ATM.

You have DOUBLED the pressure on your lungs and even if you had a 10m snorkel you could not breathe. More here.

Below 10m

( ~ 30ft ) you need SCUBA tanks – Self-Contained Underwater Breathing Apparatus – AND a regulator to deliver air at a pressure equal to the water pressure on your lungs. 

At 40m

( ~ 120ft ) water pressure is 5 ATM.

Your body will struggle. You may be crushed depending on your fitness and gear.

More here.

The Titanic Wreck

The Titanic lies about 600km or 370 miles off the coast of Newfoundland, Canada, in the Atlantic Ocean.

The Titan Submersible

The Titanic Wreck rests at a depth of

3.8 km

~ 3,840 metres

2.4 miles 

~ 12,600 feet 

The Titan Submersible is small.

More on the ABC News WEBSITE.

The Titan submersible didn’t explode.

It IMPLODED!!!!

It was crushed.

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OMG! The Best Ever ALGEBRA Promo and it’s written by AI

May 19, 2023

So Mathspig asked Chat GPT to:…………..

Describe algebra in the style of Mathspig

Alrighty then, buckle up your math belts and get ready to rock the world of algebra! Algebra, my math-hungry amigos, is like the ultimate superhero of mathematics. It’s all about unleashing the power of unknowns and solving the most mind-boggling puzzles known to humanity.

In the realm of algebra, we ditch the boring old numbers and bring in the big guns: variables! These sneaky little devils represent unknown quantities that are just begging to be discovered. They’re like the Sherlock Holmes of math, always on the hunt for clues to crack the case.

Equations are the name of the game in algebra. They’re like the secret codes that hide the answers to life’s greatest mathematical mysteries. We tinker and tamper with these equations, using super cool math moves to bring order to the chaos. We combine like terms, simplify expressions, and rearrange the pieces of the puzzle until we uncover the truth.

More rules here

But wait, there’s more! Algebra isn’t just about solving equations; it’s about exploring patterns and relationships. It’s like a math treasure hunt where we unearth the underlying structure of the universe. We create graphs, plot points, and analyze the data to reveal the secrets that numbers and formulas hold.

Algebra is all about flexing your math muscles and honing your problem-solving skills. It’s a mental workout that strengthens your logical thinking and boosts your brainpower. It’s like math aerobics for your mind, keeping you sharp and ready to tackle any mathematical challenge that comes your way.

So, my math-loving amigos, embrace the power of algebra. Let your curiosity run wild, and let your mathematical genius shine. Unlock the hidden mysteries, unravel the enigmas, and conquer the world of numbers with confidence and style. Algebra is your superpower, and with it, you can conquer the mathematical universe! Mathspig, out!

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8. You can survive any amount of beating in a fight.

May 14, 2023

Lethal_Weapon_4_PosterDie_Hard_With_A_Vengance

 

 

 

 

Every action hero gets into a fistfight. James Bond, Jason Bourne, Indiana Jones. Then there are all the stars known for their fight scenes. Sylvester Stallone ( Rocky),  Arnold Schwarzenegger (True Lies), Jackie Chan (Any movie), Bruce Willis (Die Hard 1,2, 3 etc), Mel Gibson (Lethal Weapon I, II, III etc), Jean Claude Van Damm (Blood Sport, Street Fighter), Brad Pitt (Fight Club), Fast & Furious 1,2,3 and so on.

But can the human body take this punishment?

We can work it out. Measurements taken at The University of Manchester have shown that local boxing hero Ricky ‘The Hitman’ Hatton really does live up to his name. (DailyScience)

ricky 'the hitman" hatton

Ricky ‘The Hitman’ Hatton can pack a punch!!!!! 

Similar results were found at Uni Manchester BBC (Force of boxer’s punch measured)

So one punch is equal to being hit by a car …… if only for a split second!!!!!!!!!!! Nevertheless you can be killed by this one punch.

You’ll find some great punching physics here

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9. A single match or candle will light a room the size of a football stadium.

May 4, 2023

 

This is the rework of a previous post.

Action heroes such as Indiana Jones or even film kids like Tom Sawyer or The Goonies who go into a cave, anabandoned house, a crypt or a catacomb light the entire place with one match, one candle, a lighter or a cellphoneIndiana jones 1tm sawyer.

Is this real?

 

Now mathspigs, if you are interested in a career in stage/film lighting or even architecture you will need this maths.light globe_tns

 

60Watt light globe tells us how much power it uses. But some 60W globes are brighter than others. Light is measured with weird units.

candle_tnsUSA uses Foot-candles. Can you imagine the pickup line ‘You brighten up my world like a footcandle’? A foot-candle is the brightness of a candle 1 foot away. Now think of a bubble around the candle. Brightness is mostly measured using one square foot or one square metre of that bubble:

1 LUMEN = 1 Footcandle/ft squared

1 LUX = 1 footcandle/m squared

Don’t get too hassled by these units.  As a rough rule:

1 candle = 1 LUX

candle 1 Correction

candle 2 Correction

candle 3 Correction

From graph you can see by 3m a Birthday Cake is not very bright even in a haunted house or crypt.

Challenge: Draw a graph of the brightness of your own Birthday Cake!

Big Challenge:Draw a graph of your Teacher’s Birthday Cake!!!!!! Ahhhh!!!!

We know:

1 candle = 1 LUX

Now compare the brightness of 1 candle to the brightness of other sources of light:

If you want sufficient light to live your everyday life you’d need:

80 candles just to go to the toilet!!!!!!

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10. You can out run a lava flow … METRIC

May 1, 2023

This is a rework of a previous post with full calcs.

Every volcano disaster movie from Volcano (1997) with Tommy Lee Jones to Dante’s Peak (1997) withDantes_peak_ver2Pierce Brosnan someone somewhere tries to out run a lava flow. Is this possible?

The answer is maybe. You will find everything you want to know about lava flows here.Volcano_ver2

On January 10,1977, at Nyiragongo lava sprang from the sides of the volcano moving at speeds up to 40 miles per hour (60 km/hr). About 70 people were killed.

lava temp Measuring the temperature of lava. Photograph by R.L. Christiansen, U.S. Geological Survey, January 9, 1973.
The fastest Lava flows recorded were in Hawaiiin 1950 when Mauna Loa erupted. The lava traveled at 10 kilometers per hour through thick forest. But once the lava flows became established and good channels developed, the lava in the channels was flowing at up to 97 kph.

Speed of average sprinter = 16 – 24 kph

 

Can you out run a lava flow?

You would be scorched after 3 minutes!!!!