Archive for the ‘algebra’ Category
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!!!!!
Posted in algebra, Dog Age in Human Years, Logarithms | Tagged 7, age, Aging, American Kennel Club, calculate, chart, DNA, dog, dogs, formula, human, multiply, research, years, your | 1 Comment »
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.
Posted in algebra | Leave a Comment »
February 26, 2024
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.
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)
You can test your reaction time on THE REACTION TIME CLOCK HERE.
Posted in algebra, Fun with Algebra, Junior School, Middle School, Year 7 mathspig, Year 9 Mathspig | Tagged activity, algebra, calculation, challenge, class, formula, Fun, gravity, HOmework, Maths, Middle school, pen, project, trick | 1 Comment »
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.
Posted in AI, algebra, Arithmetic, Fractions, Uncategorized, Year 7 mathspig | Tagged algebra, CHAT GPT, exercise, fractions, HOmework, Maths, Middle school, Quadratic Equation, subtract | Leave a Comment »
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.
Posted in 10 Movie Cliches Debunked with Maths, algebra, Decimals, Hollywood Maths, Middle School, Movie Math, units length, units speed | Tagged 10 Movie Cliches Debunked with Math, bomb, car, Cliche, explosion, fireball, Mad Max, Middle school, movie, outrun, Predator, Shock wave, speed, velocity | Leave a Comment »
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.
Posted in algebra, Titan Submersible | Tagged Atlantic, calulation, depth, disaster, Maths, Middle school, pressure, simple, size, Submersible, Titan, Titanic | Leave a Comment »
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!
Posted in AI, algebra, Algebra Promo, Middle School, Year 7 mathspig, Year 9 Mathspig | Tagged AI, algebra, ChatGPT, counts, great, important, matters, Middle school, Pro, promo, Why algebra | Leave a Comment »
May 14, 2023
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 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
Posted in 10 Movie Cliches Debunked with Maths, algebra, Middle School, units speed, Year 9 Mathspig | Tagged break bones, debunked, Die Hard, Fast & Furious, fatalities, Fight club, Film Cliche, hand, Hollywood, kill, king hit, movie cliches, punch, reality vs fiction, What's the Impact of a punch? | Leave a Comment »
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 cellphone.
Is this real?
Now mathspigs, if you are interested in a career in stage/film lighting or even architecture you will need this maths.
60Watt light globe tells us how much power it uses. But some 60W globes are brighter than others. Light is measured with weird units.
USA 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
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!!!!!!
Posted in 10 Movie Cliches Debunked with Maths, algebra, Area, Hollywood Maths, Hyperbolas, Inverse Functions, units speed | Tagged birthday cake, brightness, calculate, cave, how do you measure, how many candles do you need, how many light bulbs, light, light bulbs, lighting, Lux, Math %, movie cliche debunked, room, Unit of brightness | Leave a Comment »
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) withPierce 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.
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.
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!!!!
Posted in 10 Movie Cliches Debunked with Maths, algebra, graphs, Hollywood Maths, Simultaneous Equations, units speed, Year 12 mathspig, Year 9 Mathspig | Tagged 10 Movie Cliches, algebra, Can you out run a lava flow?, Dante's peak, Fun math, Hollywood Maths, lava flow, out run a lava flow, Real Life Maths, Simultaneous equations, speed, straight line graph | Leave a Comment »