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Welcome to 2015

January1

2015 (MMXV) is the 2015th year of Anno Domini (“in the year of the/our Lord”, abbreviated AD) designations, the 15th year of the 3rd┬ámillennium, the 15th year of the 21st┬ácentury, and the 6th year of the 2010s decade. Because the world is divided into Time Zones, we were able to celebrate the New Year first here in Auckland, New Zealand. As the earth rotated eastward, the sunrise progressed from Auckland to countries west of the city. The next celebration was in Sydney, Australia, then Perth and so on. This handy world clock app can be used to add several time zones:
world clock
So, time (pun intended) for a math question related to time zones:

“A satellite registers a major solar explosion that lasts from 3:15 PM to 4:26 PM Greenwich Mean Time. A solar scientist monitoring the satellite data decided to go to Starbucks for a quick coffee between 7:00 AM and 7:45 AM Pacific Standard Time.

e) How long did the explosion last?
f) Did the scientist know about the flare before he left for coffee?
g) How much of the flare event did the scientist get to see in the satellite data as it happened?
h) Should the scientist have gone for coffee?”

View answers here on spacemath.

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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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