given that the surface area of the moon is 37.9 million square kilometers, to cover the half of it which continuously faces Earth with a 0.1 millimeter coating would require 1,895,000,000,000 liters of paint. (thats 1.8 tera-liters)
Based on global production of "coatings" in 2009 of 27.2 billion liters it would take approximately 70 years to produce enough paint.
Edit: One slight difficulty is that it would take approximately 40 million Saturn V rockets to carry the paint into Lunar orbit. (Assumes paint is approximately the same density as water). At current prices each Saturn V launch would cost $1.1 billion so the total cost would be $40,000 trillion for transport, $6 trillion for the paint plus we'd need to develop some kind of orbital spray painting technology.
Oh, and assuming we wanted to do this in 70 years, we'd have to launch approximately 1600 Saturn V's every day ...
Edit 2: Thanks to phort99 and lysa_m for using Wolfram Alpha to find out that I've miscalculated somewhere (gah!) so my original estimates need to be increased by a factor of 10. Would have been most inconvenient to find this out after I'd secured funding. Luckily, as charlsekelkv points out, the actual coating wouldn't need to be 1mm thick so I've adjusted the thickness of the coating to 0.1mm so the figures remain the same.
Edit 3: Have worked out that this would require 91% of the Earths remaining oil reserves just to fuel the Saturn V's ! Unfortunately, as Teotwawki69 points out, paint is about 1.8 times denser than water so I think we would run out of fuel on Earth before the project was complete.
Reddit had maybe 10,000 accounts five years ago - or less than the current readership of /r/TheoryOfReddit. We've got like 800,000 now. I don't know how many pageviews a month Reddit had back then, but it sure wasn't a billion. Hell, I don't know if MySpace had a billion pageviews a month in 2006. Digg sure didn't. I wonder if Wikipedia did.
If Reddit comments aren't 1/80th what they used to be, we're actually coming out ahead. I agree with you that there's a fair amount more chaff to go with the wheat, but that's more of a sorting problem than anything else. Yeah, we didn't have f7u12 cartoons but we also didn't have /r/askscience or /r/randomactsofpizza.
Growth isn't necessarily bad - but you do have to account for it. I think the lightning growth Reddit has experienced over the past year has ended up making "size" more visible than "sorting" but it appears that the admins are actively working to make the Beast That Is Reddit more manageable and navigable.
Reddit is bigger than 4chan, Digg and SomethingAwful combined. Anything with that much versatility and reach is going to be a little unwieldy, particularly when the architecture wasn't really designed for something a tenth this big. The amazing thing is we've still got a place on here to bitch about it... and that the worst blowback we've had is the 2XC/MR skirmishes.
Be patient and take hold of your front page. The old Reddit you love is still there; it's just easily overshadowed by the new Reddit you hate.
According to Wolfram alpha, there are roughly 99 quinvigintillion, 999 quattuorvigintillion, 999 trevigintillion, 999 duovigintillion, 919 unvigintillion, 341 vigintillion, 824 novemdecillion, 829 octodecillion, 56 septendecillion, 121 sexdecillion, 428 quindecillion, 339 quattuordecillion, 363 tredecillion, 143 duodecillion, 596 undecillion, 233 decillion, 24 nonillion, 710 octillion, 494 septillion, 559 sextillion, 116 quintillion, 722 quadrillion, 176 trillion more atoms in the universe than there are permutations of a 52-card deck of cards.
Just to be accurate, the issue here is not in the order of same level expressions (the TI-85 also does left to right). The issue is that, for the parser of the TI-85, implicit multiplication (where you don't write the multiplication symbol) has priority over regular multiplication and division.
Before you discard it as the wrong way to do it, consider it actually makes sense for variables:
Is this 6/(2*x) or (6/2)*x ? Most would agree that it is the former, including WolframAlpha, even though according to pure PEMDAS, it should be the latter.
Now replace x with (1+2) and you have the OP's equation.
current distance from Earth: 394820 km
average distance from Earth: 385000 km
March 19: 357229 km
to find out the nutritional information for a cubic light year of fried chicken of course, isnt that what everyone uses it for?
Average distance to the moon 388 388 kms
Your height expressed in metres: 2.172 m
It will take 1.78816 x 10^8 of you to stack you to the moon.
>The U.S. has just shy of 9,000 MW solar installed. Germany has a bit under 18,000 MW. How does 18GW vs. 9GW = 6,000%?
Where are you pulling these numbers from?
According to 2008 numbers:
3,800,000,000 / 843,000,000 = 4.5 (approx.)
That means that Germany has 4 and a half times as much energy from solar than the US. That is around 450%.
The 6000% comes from simple arithmetic that US has 3900% more Sun available than Germany around the year which means that Germany produces 450% more utilizing 3900% less i.e. if Germany had US amount of Sun available they would be utilizing 39 times more Sun to produce 3.8 billion x 39 = 148.24 billion kWh per year / 843,000,000 = 175 (approx.) or 17,500% more than the US did in 2008.
So if the US has managed to increase it's kWh per year since 2008 then it would have to have increased it 3 fold to bring it up to at least 2.47 billion kWh in order to be utilizing solar power only 6000% less efficiently than Germany does.
And Germany doesn't have Southern California, Arizona, Nevada, Texas, New Mexico, Louisiana or Florida. They have 4 month long winters there.
What this means is the equivalent of one northern US state (Washington, Colorado) producing 4.5 times as much solar energy as the rest of the US combined in 2008. Do the math on that.
I don't think this is right:
>First calculate how many balloons you pop, falling 1m:
>V = 1,8m * 0,5m * 1m = 0,9m³
> >Vb = 0,05³m = 125*10^-6 m³
> >N = V / Vb = 7200 balloons
>The force would be:
>F = 0,15N * 7200 = 1080N
>With your weight of 80Kg you calculate the deceleration:
>a = F / m = 1080N / 80Kg = 13,5m/s²
The 1080 N is not a constant force on your body, but the total force exerted during 1 m of fall, so you wouldn't be decellerated at 13,5 m/s^2.
Think about it. During a fall of 10 meters you exert a total force 10 times higher, but your acceleration won't be 10 times higher.
I'm not sure what the correct way would be though, I suppose something with Kinematic energy and power.
EDIT: So I tought about it a bit, I think this is the way to solve it:
Impuls = Change in momentum
Momentum = mass * velocity
Impuls needed = Change in momentum needed = Current momentum - 0 = 80kg * 50m/s = 4000
Impuls = Force * duration
Impuls = 0.15 N * 1e-4 s (I could be way off on this duration) = 0.15e-4 Ns
Total balloons that need to be popped = 4000 / 0.15e-4 = 266 666 667 balloons
With 7200 balloons per meter this is about 37000 m or 37 km
EDIT2: Forgot about the gravity, so what I wrote is wrong as well.
EDIT3: Impuls in time interval dt = v(t) * 7200 * 0.15e-4 * dt - 9.81*80*dt +0.5*1.2*1.2*1.8*0.5*v(t)^2*dt
The last term is for the drag resistance. Calculus class has been a while so i put this into Wolfram alpha
Your velocity will never reach 0/ms. Which makes sense I guess, because if you would just lie on balloons in your needle suit the balloons would pop just because of your weight on the balloons.
4L of whole milk has 139 grams of protein. A 4L of milk where I live is about $4. So you get 1390 grams of protein for $40.
The protein that I currently have was $40 for 4 lbs. Each scoop is 39 grams so that works out to about 46 servings. At 26 grams of protein each that is 1200 grams of protein for your $40.
When I started writing this I thought it was to prove you wrong. It turns out you were right. Kudos.
I've not heard of that stereotype before. It is recognized that many Americans are hard workers
"Americans take vacations so they can work more. Europeans work so the can have vacations." is a phrase I've read.
Are you confusing it with the Fat American stereotype? That is because you are fat.
Finite amount of throwaway accounts? Seriously?
Let's do some math...A reddit username can be up to 20 characters long (p) and can consist of any mix of 36 different characters A-Z and 0-9 (n). By summing n^p from p=1 to 20, we discover that the number of accounts available is 1.37 x 10^31 **, or **1.98 x 10^21 accounts per person in the world. So yes, finite. I guess.
But yeah, anonymous accounts would be stupid.
1/speed of sound ~ 4.689 seconds/mile. So for every 4.7 seconds, sound travels 1 mile. Granted the actual rate is dependent on air pressure, humidity, temperature, I'd say roughly for every 9 seconds, sound travels 2 miles. So when you see the lightning, that's so fast we'll say it's instantaneously at you, and if you hear the thunder 9 seconds later, then the sound has traveled 2 miles to get to you.
Actually, there are in fact 1000 MB in a Gigabyte. What most people think of as a Gigabyte is actually called a Gibibyte, and it's not 1024 Megabytes, it's 1024 Mebibytes. Windows lies and says that it measures data in Gigabytes (GB) and Megabytes (MB) but it is actually measuring in Gibibytes (GiB) and Mebibytes (MiB). So windows basically displays the wrong units. That's why when you buy a hard drive that says its 1TB for example, it is actually 1 TB, or 1000 GB, but its only 931 GiB, which is what windows shows as 931 GB.
Don't believe me? http://www.wolframalpha.com/input/?i=1TB+to+Gibibytes
China's GDP is only 36% of that of the US though--people individually earn significantly less money. So on a per-GDP basis, China is spending 0.64% of their GDP on 'clean technologies' whereas the US is spending 0.12%.
1 mole of carbon roughly = 6.02 x 10^23 atoms = 5.31 ml The size of the internet is estimated to be 5 billion gigabytes of data, which is 40 billion billion bits (4x10^19 bits). Thus 4 x 10^19 / 6.02 x 10^23 = 6.64 x 10^-5 ml or a cube of 0.405 mm edge. ~ 1.1 × volume of a medium grain of sand (~~ 62 nL ) (edited: formatting)
Indeed, speaking in terms of expected value, we can expect about 4.8 million people to die, and thus fully warrants attention and investigation.
I approve of the message, but this stats seem dubious.
The easiest one to disprove is that three billion people are illiterate. We have roughly seven billion people on the earth, so 3 billion is about 42% of the population. That means that the article is saying the world's literacy rate is about 58%. However it is much higher than that.
1 million yen, actually. At the time of its Japanese release, this was equivalent to $9581.30 Extortionate, yes but far more affordable than the price put forward
(1+0.9Cos(8t))(1+0.1Cos(24t))(0.9+0.05Cos(200t))(1+Sin(t)), when plotted as a polar function over 0 <= t <= 2pi, looks like a marijuana leaf
Nice, I like the way Wolfram represents the equation! I also like how it can tell me the amount of carbohydrates in a cubic light year of bananas, too.
There are 2.27 popes per square kilometer in the Vatican.
Also, the last time I was pulled over for driving at 108 km/h in a 80 km/h zone, I was asked, "Do you know how fast you were going?" to which I replied, "10^-7 c" (where c is the speed of light)
Either the twelve oranges problem or the red cap black cap problem.
You have twelve oranges, one of which is either heavier or lighter than the rest, which are all of equal weight. You have three chances to use a scale, which can balance some set of oranges to another set of oranges and tell you which side is heavier. How do you determine which orange is the special one and whether it's heavier or lighter?
There are at least two (apparently) distinct solutions I know of.
20 prisoners are told that they will be lined up the next day in a line such that each prisoner can see all those in front of him but none of those behind him. Each prisoner will be given either a red cap or a black cap. They will be able to see the cap of those in front, but not their own nor those of the prisoners behind them. The prisoners are to be asked one by one from the back of the line what color they think their cap is. Prisoners who answer incorrectly are shot and prisoners who answer correctly are set free. Prisoners can hear all the other prisoners' answers and whether they got shot or set free.
There is a strategy that, assuming proper execution, saves both the maximum expected and maximum guaranteed number of prisoners. What is it?
Clarifying point: prisoners are allowed to fully conspire the night before, but on the day they are lined up, they are no allowed to communicate to one another beyond the extent to which they can see people in front of them and hear calls and outcomes behind them.
HINT: The expected number of prisoners saved is found HERE. The maximum number is found HERE.
Nice! My only comment would be, why do the moons look unnaturally large? Ganymede is the largest and it's only a fraction of Jupiter's size. That photo makes them look deceptively big when they should be just pin points compared next to the giant.
Edit: In response to a question I was sent, WolframAlpha has a nice comparison and illustration to give you a better idea of the sizes involved
~~Do you have any idea how many combinations you have~~ Think about it this way: how many combinations do you need to try to get dictionary to the power of 4? According to this sketch, that's (2^11)^4. With a dictionary attack of 1000 per second you need >500 years to try all combinations. The order in which you do your attack does not make ANY difference here. I would argue that even dictionary^3 is still safe enough for a typical consumer.
with the captcha above there is a 1 / 5 chance of guessing correct or 20%. If a bot is trying to set up 1000 fake accounts ~200 will be successful. With your normal captcha you're dealing with a large group of words to choose from so about 1 / 600,000, probably less, but the probability approaches 0%. I'm sure someone will correct my math, but I'm hoping you get the picture.
this is dealing with a captcha attack that only uses guesses, there are other ways to break a captcha
I've taken the liberty and estimated the energy of this impact. I only did this using a bit of Google and WolframAlpha, so excuse any mistakes:
The meteor seems to be about 32 blocks in diameter (counted), so d=32m and its volume V would be ca. 17157m³. Using these numbers for density ρ=7.8g/cm³, it would have a mass of ρ*V=m=1.34E8kg.
Using the same source for the speed v=20km/s, the meteorite's kinetic energy would be m*v²/2 = 1.34E8kg * 0.5(20km/s)² = 2.68E16J. This is equivalent to about 427 Hiroshima bombs.
Oliver didn't really take until 2000 I'll just blame John Oliver because I can.
If you had a monitor with a resolution such that there were 34 pixels in total (17x2 would be an example of such a resolution), you'd have roughly the same number of different possible combinations as there are atoms in the visible universe (10^80)
If the moon were made of blue cheese, it would be enough food to feed the world's population for about 50 billion years.
calories in moon's mass of blue cheese / population of earth / rda calories / 365
It can do a huge amount of stuff that many people don't know about. For example, want to find out how drunk you are? Wolfram Alpha can tell you.
> I can only imagine how much larger that number would be if we were to spend $30,000 annually per student.
No problem with have math.
$17.9 billion / $7000 per student = 2.6 million students
This jives with the number of people under 18 in Michigan according to Wolfram Alpha. So at $30,000 per student you would spend $77 billion total on education which is $59 billion more than they are spending right now or an increase by 330%. The total state and local budget for Michigan is $80.4 billion (KalamMekhar's link) increasing education spending to this level would require a 73% increase in revenue, or elimination of every other function of government in including pensions, health care, law enforcement, and public transportation.
The answer is approximately 4.29733.
Use this image:
We've got two similar right triangles.
ABC is similar to EFC
BCD is similar to BFE
So using this and the Pythagorean formula we can come up with enough equations to eliminate our variables:
10^2 = x^2 + y^2
12^2 = x^2 + z^2
u^2 = w^2 + 5^2
v^2 = (x-w)^2 + 5^2
u/10 = w/x = 5/y
v/12 = (x-w)/x = 5/z
And it's a straightforward, but long, solution from there. So I just plugged it into Wolfram Alpha:
Distance from earth to moon < Roche limit of jupiter
Even if it corrected for angular momentum, earth would be broken apart under Jupiter's gravity. It'd probably form some pretty rings, too.
Consider the ocean. When you're near it, you notice the waves and the movement of the water, etc. When you view the ocean from far away, it looks relatively still.
That's the difference between Quantum and Classical. Particles never stop behaving with quantum rules, you just don't notice it from up here.
If you're better with math, look at the functions y = sin(x) and y = x here. Now, look what happens when you look at it from far away.
Classical Mechanics is like using y = x as an approximation for y = sin(x) + x because sin(x) is always going to be between -1 and 1 which isn't significant when you're dealing with large numbers, but makes a significant difference when dealing with smaller numbers.
For some reason, I imagine a lost episode of Arrested Development.
On the next episode of Arrested Development:
Gob lost his job as a Magician (again) and somehow ends up in China. Wondering where to find a job as he walks down a busy business district, he is grabbed by a desperate Chinese business man who yells he needs a white man and will pay good money. Confused, Gob says he is flattered but he is only interested in the fairer sex. Suddenly, more businessmen appear and start grabbing Gob and pulling him towards a luxury car.
Next scene: As he is being fitted, groomed, and fussed over by people, Gob is being explained to by the businessman that he is to pretend to be the new CEO of the company to prevent their stock to devalue after the last one has disappeared due to mysterious circumstances.
One of the maids asks him if he would like a drink. A strange light glints in Gob's eye as he looks at his clothes fit for a CEO reflecting off the mirror.
Close up to Gob's face as a murmur escapes from his mouth: "no...I wanna spill booze all over my fucking forty thousand three hundred ninety Yuan suit, COME ON!"
Oddly enough, the bending stiffnesses of the two beams are exactly the same. The bending stiffness comes from this quantity: http://en.wikipedia.org/wiki/Area_moment_of_inertia and the calculations of that quantity for the two shapes are here: diamond and square. Basically, the diamond shape has more stuff out at the tip, while the square shape has more stuff away from the center at the left and right edges. Hooray math!
As for your project, I suspect you're going to find it much easier to drill holes into the flat side than the point. In fact, I suspect that's exactly why you've never seen the diamond config. Good luck with your hammock!
All politics and opinions on the wars aside, YSK the Lancet figures are extremely controversial and tend to be higher than most other estimates.
As a statistician I am insulted by the way they calculate their averages. For example, they claimed the excess deaths in 2003 in Iraq was 98K. To get this figure they estimated a range of 8,000 to 194,000 and then averaged the two. This is a total abuse of statistics. When you have a huge range like that, you are basically saying "I don't know". If you want to average the numbers, you shouldn't do it in linear space like that, you should do it in log space. Intuitively this is because the relative error between 15K and 10K deaths is the same as the relative error between 150K and 100K.
If they averaged in log space, their figure would have been 31,600
I got this. Start with the Stefan-Boltzmann law and call j*=dE/dt *1/Area. Use dE = c *m *dT, where c is the specific heat. Plugging in, integrating both sides from Tinitial to Tfinal we get:
t = c* r* rho/(9 sigma)(1/Tf^3 -1/Ti^3 ), which for a 1m ball of iron gives 2.3 days. This is of course assuming pure radiation cooling. No conduction.
No your middle class has a higher median disposable income, but you also have to "voluntarily" pay for things that we don't - like health care.
Australia has a higher:
GDP per Capita: http://www.wolframalpha.com/input/?i=gdp+per+capita+australia+vs+us
Life Expectancy: http://www.wolframalpha.com/input/?i=life+expectancy+australia+vs+us
Human Development: http://en.wikipedia.org/wiki/Human_Development_Index
We also don't screw over poor people so that our mega-rich can have another couple of million.
Much smaller than a basketball.
More marble sized. A black hole of the moon's mass would only have a radius of about .004 inches.
(/c16 "Believe me, I've studied the moon a fair bit.")
I didn't check the rest of the numbers, but there are 3.785 liters per gallon, not 4.54. That's going to affect your bigger numbers. An easy way to remember (for an American male) is that most urinals have a note on them saying they're 1 gallon (3.8 liters) per flush.
(Edit) Source: http://www.wolframalpha.com/input/?i=1+us+gallon+in+liters
According to wikipedia the radius of the event horizon is 2Gm/c^2. A large stellar black hole, let's say 10 times the mass of the sun, will therefore have a radius of 2 * 6.67e-11 N m^2/kg^2 * 2e31 kg / 3e8 = 29530m.
At 29530m, the gravitational attraction between a 10kg mass and the singularity is 30615229520301.633N. The gravitational attraction between a 10kg mass 2m lower, at 29528m and the singularity is 30619376941913.746N. The tidal forces are comparable to your head having 330 times the thrust of the space shuttle and your feet being anchored to the ground.
But this is a relatively small black hole; consider a supermassive black hole of about 10^8 solar masses. (I actually have no idea what the math will yield)
At the event horizon, 295300000000m up, the gravitational force is 3061522.9520301633N. Two meters lower, 295299999998m up, the gravitational force is 3061522.952071633N; a mere 40 micronewton difference. You probably wouldn't notice the tidal forces, unless you were in a sufficiently large craft; in which case you're have 'gravity' at the top and bottom, pulling you very, very gently towards the ceiling and floor, respectively.
Of course, this is all for a non-rotating, non-magnetic black hole. The article assumes a rotating black hole or one with a large electric charge.
For those of you who think this is easy, Jeopardy's question format isn't always that straightforward- they usually have categories with a theme, and the answer only makes sense in context of that category's themes. Often there's an entire category in which the clues are just one or two words, or a category of nothing but puns.
I'd expect the AI to be very good at clues like "This actress won the Oscar for Best Actress in 2003", but not so much finding "things you jump" as the response to the clue "A battery, a claim, a checkers piece" (in a category called COMMON BONDS).
Actually 5 feet 9 inches is an average for many countries. The US is abnormally tall.
I'm 6 feet 1 inches and only in the US am I considered average.
Like this?: http://www.wolframalpha.com/input/?i=us+national+debt/gdp*100
edit: or this rather: http://www.wolframalpha.com/input/?i=us+federal+deficit/gdp*100 ? (edit, nvm, see Reductive's comment below - go with federal debt)
You get a vertical asymptote wherever the denominator equals zero. You can do that arbitrarily.
The real trick is getting two horizonal asymptotes. The quickest way to do that is to use the absolute value function on either the top or the bottom of a rational function, where both are of the same degree.
Sooo...without actually checking (I'll do that shortly), I would guess that y = |x^3 | / (x + 1)(x + 2)(x + 3) would do the trick.
EDIT: And it works!
Your maths-biased competitor has it undefined: http://www.wolframalpha.com/input/?i=0^0
:D Awesome, though, that you just stumble upon the person who actually programmed the thing for Google. Very reddit...
Well, the estimated surface area of the Earth at ground level is 510,072,000 km^2, so that would be 1.992 times 10^12 chunks (1,992,000,000,000 chunks), which in the Beta format would be 20.01 KiB plus the number of bytes to store 1,992,000,000,000 chunks' worth of blocks, which varies upon the compression level. Assuming no compression at all, and one byte per block (x,y,z,and id; I know it's undersizing significantly), then the maximum size of the world would be 24.48 petabytes, which would be in one file. A non-complete list of filesystems that support files that large is: HFS+, ReiserFS, ZFS, XFS, Veritas File System, Btrfs, SquashFS, Tux3, CXFS, UDF, and NILFS.
Of course, the file would be split into smaller amounts, increasing the total storage volume by 20.01 KB per file, plus filesystem overhead, but you'd still need 24.48 PB + (20.01 KB * n) of storage.
I spend a lot of time in BC Parks and I'm AGAINST getting rid of parking fees. This is a great PR move for Clark, it sounds great, but Parks needs that money. I haven't heard anything about the government stepping up funding for parks to offset the loss of revenue.
Garibaldi Park's staff, for example, has been slashed over the years so that they now have only a small handful of awesome, dedicated Rangers who are tasked with patrolling a park larger than 58 countries.
If the government wants to step up funding AND make parking free, then hey, that's awesome, but personally, I'm perfectly happy paying parking knowing that it goes to helping Parks do the awesome job they do considering how cripplingly underfunded they are.
There should a be contest for finding the most absurd challenge Wolfram can handle
I think he forgot a zero, i.e. is off by a factor of 10.
Volume of the observable universe: 3e80m^3
Volume of earth/volume of the universe: 3.6e-60
The number in the red-button comic is 3e-59, though.
edit: wolframalpha has it directly, nice http://www.wolframalpha.com/input/?i=volume+of+earth%2Fvolume+of+the+observable+universe
Just some perspective:
It's 5 weight watchers points (on the old system) You're allowed 20 - 25 per day (depending on weight).
Most of the sugars come from fruit (raisins, cranberries, apples). Assuming they don't add sugar to it, that's fine.
300 calories for breakfast? That really not even enough.
Theres a solid amount of fiber. A snicker's bar has 1 g of fiber versus 5g for this oatmeal.
Using wolframalpha I compared Quaker instant oatmeal with some of the added toppings and mcdonald's oatmeal
It's really not that bad....
Since no one can know when the rapture will happen, and there are nearly 7 Billion people in the world, if each of them would pick a day that no one has previously picked we could postpone the rapture for 19.18 Million years.
I learned to control this with a sort of meditative exercise where I visualize thinking. I start by imagining a pitch black infinitely large space, with a black object shaped like the graph here in the middle. I visualize each word that I think as a short blue stripe that moves toward the object and goes up along its surface, disappearing out of view. I think exclusively in words so this works for me.
I then concentrate on reducing the amount of stripes that appear until the scene is pitch black again (and I'm no longer thinking of anything.) It took some practice, but now I can always fall asleep within five minutes of getting into bed.
The circumference is fixed at 1, so each side of the polygon has length a = 1/N. A regular polygon can be broken up into N isosceles triangles with one angle of alpha = (2pi/N) and two angles of (pi - 2pi/N)/2. The side opposite the angle of alpha = 2*pi/N will have length a. Break each of these isosceles triangles again into two right triangles, such that tan(alpha/2) = (a/2) / b, where b is the height of the right triangle. Then b = (a/2) / tan(alpha/2). The area of each isosceles triangle is then A = (1/2) * a * b = a^2 / 4 / tan( alpha/2 ). Putting a = 1/N into this gives:
A = 1 / (4N^2 ) / tan( pi / N ).
Edit: Left off the total area: The total area is then N * A = 1 / (4N) / tan( pi/N ).
Also, note that as N goes to inf, the above approaches 1/(4pi), the area of a circle with circumference 1.
Still annoys me that I can ask who is the director of ET and how old is steven spielberg but not how old is the director of ET.
i live in canada and am canadian. i have 2 brothers that moved to the usa years ago and are living there now... very happily. they both went to further their careers.
this daily circlejerk of how canada or the usa is superior is getting fuking annoying. both countries have pros and cons but for the most part the countries are extremely similar with the exception that the usa is 10x as big. context.
as for political ideals... seems like everyone on reddit dislikes their pm or pres. the laws suck... healthcare sucks... blah, blah, blah. it's really just a lot of the same. i suspect the top comment on this thread will be about someone's ideology which really has little practical implication regardless on which side of the border one chooses to live.
They've got a decent protein, fiber, and vitamin profile. Plus, carbs are good for you, you shouldn't be afraid of them. You need more than just protein to build muscles - you need excess calories as well. Oats are an easy, cheap way of getting those calories.
I'm guessing he's trying to say that at sunrise you're moving towards the sun, and away from it at sunset. The velocity of the Earth's surface (at the equator) due to its rotation is about 465m/s. At sunrise/sunset, this velocity is directed towards/away from the sun. From the equation for the Doppler shift, we get that the sunlight's frequency will change by 31 parts in 20 million, or about 0.00015%. This is so small as to be immeasurable. The reason it is so small is because 465m/s is so much less than the speed of light.
This calculation does not take into account the tilt of the Earth on its axis, this would change the answer by some amount, but definitely not change the answer's order of magnitude.
So, the concept in edifus's comment is not wrong, but it's a very small effect, and they admitted that they're just guessing, so its still against the askscience guidelines.
Perhaps they switched to a log scale, one possible conversion function which would put warp 13 at 0-10 warp scale 9.7. Honestly, this would make sense once you build warp drives that are pushing more decimal places.
edit: that function goes above 10, this is better, w13 = w9.3
I live in a country where bicycling is disproportionately much more common than other places, particularly the US. Our traffic laws are adapted for a traffic system with bikes everywhere (it's illegal to ride a bike without lights at night), and bike lanes are plentiful and almost certainly present even on smaller city roads.
And yet, when Americans drive in my city, they still tend to be incapable of paying the right amount of attention to bicyclists, even though the bicyclists mostly follow the same traffic rules as everyone else.
I tend to think that it's much less a question of some "death wish" and much more a question of knowing what you have to be aware of. If you're used to never seeing bicyclists, it's not that weird if you suck at driving around them.
On top of that, it's significantly harder to get a driver's licence here — you have to attend actual classes, and it takes longer. The US has around 3 times more fatal road accidents per year per capita than my country (Denmark).
So yeah, do with that what you want. :)
I'm guessing you live somewhere with moderate electricity prices and 'several thousand dollars' means at least 3000 and that you had two 4870X2s and a C2Q running. So the whole PC had a power drain of no more than 1kW. You stopped in 2009 latest (at least that's how I interpreted it), so you must have used a different setup before, as the 4870X2 was only released in August 2008. Wolfram Alpha says, that that amount of money could power your system for 2 years, 3 months nonstop.
My, my, you racked up quite some computations there :O
Long story short, about 1350km across.
Wolfram Alpha can actually calculate any of these relationships:
http://www.wolframalpha.com/input/?i=cousins+daughter (your cousin's kid's relationship to you)
http://www.wolframalpha.com/input/?i=mothers+cousin (your relationship to your cousin's kid)
http://www.wolframalpha.com/input/?i=mothers+cousins+daughter (your kid to your cousin's kid)
As naughtius pointed out, it's not actually heading towards Alpha Centauri. The first star it will pass "close" to (close = 1.6 light years) is AC+79 3888 . This will happen in 309,600 years.
edit My value disagrees with the value on the Wiki page of the star, because the star is actually moving towards us. Taking this into account it will be much less, around 40,000 years according to Wiki. Someone who's not supposed to be doing real work could check this.
Can somebody help me out here? I don't quite understand that counter. For starters, it's at 99.5%, which is less than 99.95%. Secondly, 0.05% of downtime in a year is about four and a half hours right?
(a*b)^n =a^n * b^n is only a property when you have positives (technically nonnegative reals), as the "primary" solution to these problems is always positive (ex. square roots of positive numbers are always positive).
When a and b can be nonpositives, then your solutions can start branching out in different directions, which causes some trouble when you multiply them back together.
Consider, for example, that (-1 * -1)^(1/2) != (-1)^(1/2) * (-1)^(1/2), as the former is just the square root of 1 (which is 1) and the latter is i^2 = -1.
Since WolframAlpha uses a nonreal principle branch for radicals of negative numbers (there are reasons why this makes sense), you end up getting a similar phenomenon with your inputs.
A black hole with the mass of the earth would have an event horizon radius of 8.87 mm.
Actually, it'd be free at 62,700 likes.
You'd have about a 133% discount at 0 people, which means they'd be paying you to buy the game.
We Americans have shit for infrastructure for trains / public transport and our nation is larger than your continent. And less populated in the central areas.
The video states at 1:41 that the star is 2.8 billion kms in diameter.
Wolfram Alpha states that Uranus is approximately 20.1 AU in distance from our Sun which works out to be about 3 billion kms, give or take a poofteenth.
Dropping VY Canis Majoris where our Sun should be will put Uranus about 200 million kms out and make it noticeably warmer.
To drain all the energy in one AA battery, you'd have to completely convert its mass to energy. A AA battery weighs about 23 grams, which via E=MC^2 is equal to 574.2 Gigawatt Hours.
A very extreme form of death results.
HA I got it, 2764.6015 / (2 Pi) == 440 which is the standard tuning for an A!
EDIT: BTW 2pi comes from the wave formula y = a * sin(2 pi f x)
EDIT: BTW A 440 is the sort of core note that sort of defines the tuning, not just a random note http://en.wikipedia.org/wiki/A440_(pitch_standard)
Assuming that we can accelerate uniformly at +/-1g for the whole trip, a little over 7 years ship time.
Step 1: Pick any city that has guns available to the general population.
Step 2: Compare it with London. Say, on Wolfram Alpha
Step 3: Compare crime rates. The data for London over the past 12 months is available here.
I'd love for you to find three cities that have guns available, with similar populations, that have 'less crime' than London.
Go on, I'll wait.
No, pressure becomes important at low temperatures as well. Take Helium for example:
We call this chart a phase diagram. It shows pressure on the up and down axis, and temperature on the left and right. You can see that He is a liquid below ~1 mega pascal at absolute zero, but above a solid. This means you have to cool, and compress helium for it to solidify.
Taking your line of thinking a little further VY Canis Majoris has an average density of .000002077 times that of the air we breathe! That's something like 15% the density of the air 50 miles above the surface of the earth!!
Actually, it's a thermistor.
> PTC thermistors are used as timers in the degaussing coil circuit of most CRT displays and televisions. When the display unit is initially switched on, current flows through the thermistor and degaussing coil. The coil and thermistor are intentionally sized so that the current flow will heat the thermistor to the point that the degaussing coil shuts off in under a second. For effective degaussing, it is necessary that the magnitude of the alternating magnetic field produced by the degaussing coil decreases smoothly and continuously, rather than sharply switching off or decreasing in steps; the PTC thermistor accomplishes this naturally as it heats up. A degaussing circuit using a PTC thermistor is simple, reliable (for its simplicity), and inexpensive.
So, if you do it again straight away, the thermistor is still hot and won't pass as much current.
Edit: To degauss the monitor you need to use a big oscillating field. So you have a sine wave, and using a thermistor causes the amplitude to decrease over time, like this.
Black coffee. Just suck it up for now. It gets better. It's an acquired taste, like beer.
Also, to put it in perspective: 400 calories is 3 POUNDS of broccoli
it's more likely an ISP thing. most ISPs provide a quarter or less upload speed than download speed based on the assumption that most users are only receiving content. 35GB in 48hrs is about 1.5Mbps which roughly matches the upload speeds I've seen on many 5-20Mbps down cable connections.
trust me, if you could upload at 100Mbps, Google could receive it.
It has to do with the order of operations. People arguing over whether the answer is 288 or 2. (48/2)(9+3)=288, but 48/(2(9+3))=2. The question is whether you divide 48 by 2 or multiply 2 by (9+3) first.
Following the formal rules of the order of operations, the answer is 288.
There was a link on reddit the other day in which someone had two different Texas Instruments graphing calculators that gave two different answers for the question.
I hope that answered your question.
Yeah, one of the comments on the page is about a user's frustration with not getting the expected results for "which has the greater area, the atlantic or the pacific?",but you can easily get the answer a number of ways, such as "Is the area of the atlantic ocean greater than the area of the pacific ocean" or "area of the pacific and atlantic".
There's an art to formulating questions that Wolfram Alpha can process correctly.
Using this query http://www.wolframalpha.com/input/?i=us+federal+deficit+in+2010%2Fgdp+in+2010*100 I created this table. I'm at work, so I didn't put every year in there. Hopefully I did it right.
In short; Pluto is very small and very far away. For comparison, spotting Pluto from Earth is comparable to spotting a full stop on a sheet of paper from 1km (0.6214mi) away (assuming a full stop is 0.5mm in diameter). Making out any sort of detail would be like trying to distinguish the paper fibres that make up the full stop from that distance.
I almost jumped on megaplanet, but had to go with the safe pick in the soup. Too many questions about the Earth + Mars merger.
Sure, we get a much needed 56 million square miles in increased surface area coverage, but how is Mars going to integrate into the Earth's consistent defensive schemes, especially with veteran play- and tide-maker, The Moon? Can the Earth safely fit Mars under its atmosphere cap without breaking the bank or causing 90% of all terrestrial life to suffocate to death? And last I heard, Mars would be showing up to camp way overweight at 1.4152×10^24 pounds; possibly causing all manmade structures to collapse under the increased gravity.
Source. But seriously bro, it's all in the technique, you have a lot more than just that to work with. If size was all that mattered, we would all be second place to vibrating 12inch dildos
nope it doesnt work that way. It also has been growing like crazy since the 70's when the us started to cut their taxes like crazy while raising crap like payroll taxes which put more burden on the lower classes. ANd if you look other nations like luxenburg have a higher per capita income and yet dont have the gini problem
western europe has most millionaires per capita
All it takes is a tiny bit of research and you will see things are getting worse in the US. The american dream is disappering, freedoms are disappearing.
You do know we used to use the gini to attack south american countries? the right used to use it tall the time to explain what was wrong with socialism and how capitalism actually produced a more fair distribution. But since the 70's those south american countries have lowered theri gini, while ours exploded.
and you dont ever see right wingers on tv, pointing out the gini of ven, or chili or columbia anymore, cause we are worst than all of them down there now.
Interesting the same people who used to use this tool as an attack on socialism, now say it is totally meaningless, I guess kinda like exit pollls
Let's say that the jumbo-jet is 3/4 the angular width of the moon. And let's say that's a Boeng 767 (I'm not good at Jet Identification (this is a very ironic statement if you know my research ;-) )). Using this picture, and the fact that the angular width of the moon is about half a degree, we can actually figure out how far away the plane is from the camera.
[The jet is 7639 meters away](http://www.wolframalpha.com/input/?i=sin\((90-3%2F16\)degrees\)*25%2Fsin\(\(3%2F16\)degrees\)&t=crmtb01)
And in the amount of time it took me to make this surely someone's already answered it :-p
The total mass of all the humans in the world is 4.2x10^11 kg. The mass of the Earth is 6x10^24 kg. So humans weigh less than the Earth by a factor of roughly 10^13 . That's 10 trillion. This is the same ratio as the masses of a grain of sand (10^-10 kg) and a small car (~1000 kg). So all the humans running at once only amounts to the effect that a grain of sand would have on a car, i.e. so little as to be immeasurable.
Whoa, Wolfram|Alpha speaks TeX! Not just the super-light version, either! Example (another one)
Ternary computers are more efficient (Or they would be given equal development efforts to binary computers). They used to be popular within the CCCP, and even now some of their computers hooked up to their cold war era radios still use trinary.
Trinary is the most efficient. You can calculate this yourself by taking an arbitary number (bigger is better), lets say 1,000,000. Take the base and multiply it by how many digits are needed to represent 1,000,000. The lowest number wins(Eg is most efficient).
so x=ln(1000000)y/ln(y), e is the most efficient but you can not have a computer using a non integer base.So 3 is the best choice.
EDIT: Why the hell am I being downvoted? My post is mathematically correct and logically correct.