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Posts tagged with astronomy

A Stable Solar System? Not According to Latest Math

May20

In 2009, a pair of astronomers at the Paris Observatory announced a startling discovery. After building a detailed computational model of our solar system, they ran thousands of numerical simulations, projecting the motions of the planets billions of years into the future. In most of those simulations — which varied Mercury’s starting point over a […]

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A Celestial Tug of War

March5

Throughout human history the Moon has been an inextricable, ghostly presence above the Earth. Its gentle gravitational tug sets the rhythm of the tides, while its pale light illuminates the nocturnal nuptials of many species. Entire civilisations have set their calendars by it as it has waxed and waned, and some animals – such as […]

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Never look directly at the sun, except now

January31

As a young child I can remember being told to never look directly at the sun, unless I had especially dark glasses on, such as those used for welding. This image is, therefore, more stunning when you realise that it is showing fine details across the heaving cauldron that is the sun’s surface. The darker […]

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Galloping Galaxies – Pt III – Mass vs Size

November20

“Size matters!” How often we hear that quote. But does it? Perhaps mass matters too? Jupiter is the largest planet in the solar system. In terms of mass, Jupiter dwarfs the other planets. If you were to gather all the other planets together into a single mass, Jupiter would still be 2.5 times more massive. […]

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Galloping galaxies – Pt II

November2

The universe doesn’t look right. It suddenly looks . . . out of whack. The universe is unimaginably big, and it keeps getting bigger. But astronomers cannot agree on how quickly it is growing – and the more they study the problem, the more they disagree. Some scientists call this a “crisis” in cosmology. A […]

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Math Prof wakes early to view black hole image

April11

Astronomers have captured the first image of a black hole, proving the University of Canterbury’s distinguished Professor Roy Kerr’s 56-year-old theory correct. Kerr said he set his alarm for 1am to see this exciting event. “The event horizon telescope photo is just the beginning of a new phase in the understanding of our universe. “The […]

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The Size of Space is Remarkable!

January3

Ultima Thule is more than a billion miles on the far side of Pluto. This snowman-like space rock is approximately twenty miles long by ten miles wide and seems to spin like a propeller through space. Why? It is two objects fused together in a strange motion. The object was discovered by the Hubble Space Telescope […]

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Racing at 2 million kms/hr!

February11

Hundreds of galaxies hiding on the other side of the Milky Way have been discovered by an international team of scientists. They were able to see through the stars and dust of the Milky Way, into a previously unexplored region of space using the Parkes radio telescope in New South Wales, Australia. Despite being just […]

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Flat out in 3 or 4 Dimensions…

August23

How many dimensions are there in our universe? From 2009 (http://phys.org/news/2009-02-fourth-dimension.html): “Creating a unified theory of quantum gravitation is often considered to be the “Holy Grail” of modern science. Daniel Grumiller (left) from the Institute of Theoretical Physics, Vienna University of Technology, Austria, can now at least unravel some of the mysteries of quantum gravitation. […]

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Calculus – the language of the stars!

June9

“Mathematics is the language of the stars! It was Sir Isaac Newton who worked out a way to mathematically calculate the changing motion of the planets, etc. Sir Isaac Newton, when pondering the motions of Halley’s Comet, came to the realization that the math that had been used thus far to describe physical motion of […]

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Post Support

Largest number between o and 1 million which does not contain the ‘n’ is 88

 

Rotation SAT Problem: Answer: 4 (see: https://www.youtube.com/watch?v=FUHkTs-Ipfg)

 

Which number has its letters in alphabetical order? Answer: F O R T Y

Hidden Rabbit? Clue: check the trees

How long for the stadium to fill? 45 minutes.

Where are you? the North Pole

Prize Object Puzzle: If Sue does not know where the prize is in the first question, it can’t be under the square. She must have been told it is under another shape. Apply this same logic to Colin. It is then obvious that the prize cannot be under a yellow object. That helps Sue eliminate her yellow shapes. Got the idea?

Algebra Puzzle: Answer = 1

Popular Math Problems Answers: 1, 1

Number of tabs? According to Lifehacker, the ideal number of tabs you should have open is nine. Yes, a single digit. To some, this is like playing a piano and only using a fraction of the notes!

Worst Graph? Where to start. What a visual mess and even some of the lines merge and are impossible to follow. A graph is a visual display of data, with the goal to identify trends or patterns. This is a spider’s web of information which fails to show a clear pattern at all. Solution? Well, different colors would help, or why not group in two or three graphs where trends are similar?

Number of different nets to make a cube is eleven – see this link

Homework Puzzle; The total value of the counters is 486, so halve this to get 243. Now, arrange the counters to equal this amount twice.

The graph on the left (Coronavirus) is for a time period of 30 days, while the one on the right (SARS) is for 8 months! Very poor graphical comparison and hardly relevant, unless it is attempting to downplay the seriousness of the coronavirus?

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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