Which is correct? The list contains a plural item, but it also contains singular items. So would I use "are" in this sentence?   "An applicant with an undergraduate degree in business is supposed to qualify for the one-year program if their grades, resume, and GMAT score are good enough." "An applicant with an undergraduate degree in business is supposed to qualify for the one-year program if their grades, resume, and GMAT score is good enough."
Simple question:     My apples and orange are wrong   or     My apples and orange is wrong   I am not a native English speaker, and I am having some trouble choosing between plural are or singular is for that kind of example.
How can I figure out what's slowly eating my HD space? What is the equation for the scale factor of the universe, a(t), for the best fit of data to the $\Lambda CDM$ Model of Cosmology? Ideally I like a single formula or multiple formulas for different time ranges that would cover the time from the end of inflation through 100+ billion years after the big bang using  the $\Lambda CDM$ Model.  I know that from the end of inflation back to the time of the big bang would be much more speculative, but some wild estimate would be appreciated for that time range also!  The Friedmann–Lemaître–Robertson–Walker metric defines the scale factor, a(t), from the metric: $$-c^2d\tau^2 = -c^2dt^2+a(t)^2d\Sigma^2$$ where $d\Sigma^2$ ranges over the 3 dimensional space of the universe and does not depend on time. Usually the scale of the scale factor is set by defining  $a(t_{now}) = a(13.78 B yr) \equiv 1$ I'd like to know if the following problem of elementary linear algebra is already solved / solvable.  For two (singular) $n\times n$ matrices $P$ and $Q$, if $\det(\lambda P+\mu Q)=0$ for any $\lambda,\mu\in\mathbb{R}$, what are conditions on $P$ and $Q$? If $\gcd (a,b) = 1$, what can be said about $\gcd (a+b,a-b)$? Suppose $a, b \in \mathbb{Z}$, $a &gt; b$, and $\gcd (a,b) = 1$.  What can be said about $\gcd (a+b,a-b)$?  Is it true in general that $\gcd (a+b,a-b) \leq 2$? Group $G$ of order $p^2$: $\;G\cong \mathbb Z_{p^2}$ or $G\cong \mathbb Z_p \times \mathbb Z_p$ If the order of $G$ is $p^2$ then how do I show that $G$ is isomorphic to $\mathbb Z_{p^2}$ or $\mathbb Z_p\times\mathbb Z_p$. What is numeric promotion? I've gone into the Nether and seemed to have lost my portal out of it, I also can't die in lava or by mobs attacking me, I'm appear to be invincible and can't die.  This is Single Player by the way.  Why is this happening? How do I move Ubuntu dock to bottom on Ubuntu 17.10 and later? What makes scaling pixel art different than other images? Recently I was coaching a developer who's new to making pixel art games, and realized there's some "conventional wisdom" around scaling pixel art that's not obvious to a newcomer, and might not be well documented. So, here's an attempt to fix that....     I've heard I should only scale pixel art by 200%, 300% etc. not in-between sizes like 120%   Why is that? Shouldn't scaling "just work" the way it does with other images? What if I really need to make my character just a fraction larger or smaller to get the right gameplay or look? How do I fix this?  I'm told it's "bad" to use pixel art at different scales in one game - why?    For example, if I scaled up my character so each sprite texel is 4x4 screen pixels, while my background art is scaled up so each sprite texel is 6x6 screen pixels. Isn't a pixel a pixel at the end of the day? How to copy all files from a directory to a remote directory using scp? py2exe - generate single executable file What is "cloning a hard drive" and how does one go about doing it? What does cloning a hard drive mean? Is it just simply copying over all the "CONTENT" of the hard drive EXCLUDING the operating system, drivers, all the installed programs? or is it copying the ENTIRE hard drive BIT for BIT? Is the cloned hard drive bootable?  I have an external USB hard drive and trying to make a exact copy of my computer system by cloning, so that I can connect the cloned hard drive to another machine and boot into it, or install the cloned disk on another computer system and boot into it. Is this possible? Or am I going about this totally wrong?  What is ghosting a hard drive? sys.dm_db_index_physical_stats is extremly slow I have a database that is around 4.5TB, since we have parallel inserts (to reduce daily load time) on one table (partitioned by month) the clustered index on this table tends to be heavily fragmented. When I do a select from sys.dm_db_index_physical_stats (Limited) on this table it takes ages (> 4-5 hours). Is there a faster and better way to check the fragmentation levels on the partitions of this table, the current time this takes is completely inacceptable. Is $\cot(z)-\frac1z$ bounded on a given circle? Probability that two random numbers are coprime is $\frac{6}{\pi^2}$ This is a really natural question for which I know a stunning solution. So I admit I have a solution, however I would like to see if anybody will come up with something different. The question is     What is the probability that two numbers randomly chosen are coprime?   More formally, calculate the limit as $n\to\infty$ of the probability that two randomly chosen numbers, both less than $n$ are coprime. Disallow downvoting other answers if I've posted my own Possible Duplicates:        As Dan Dyer mentioned in his comment on , there is a conflict of interest when you have posted your own answer and are allowed to downvote other answers.  Despite the vote editing window being drastically reduced, the fundamental problem remains: I can downvote the other answers permanently and still benefit - my answer gets upvoted ONCE and wham, I have just made up the rep loss for my 10 other downvotes. The vote editing window fixes part of the problem, but there is a more complete fix that has the extra benefit of not preventing legitimate vote changes: to disallow downvotes on competing answers when you have posted one yourself.  The temptation to wrongfully downvote competing answers is huge. The rep loss is tiny in comparison. It has to be in order for people to continue to legitimately downvote.  Details:   If I have previously voted and then post my own answers, delete my downvotes. Continue to allow me to remove the upvotes - I think this is fully legitimate. If I delete my answer it's probably best to continue to deny downvotes (perhaps even including the question), but I don't have a strong opinion either way. Variance of dot product When reading a proof I came across the following step:  $$\operatorname{Var}(x^Ty) = x^T\operatorname{Var}(y)x$$ $x$ and $y$ are column vectors. How can you derive this? Stop suggesting Microsoft Edge browser in start menu when typing "internet" I use Chrome as my primary browser but must use Internet Explorer to be able to remote in to my work via Remote Desktop web client (since it uses ActiveX plugins). To start an app, I would often type out the name from the start menu unless I had a pinned link or shortcut handy. But if I type &quot;internet&quot; as if I were trying to start Internet Explorer, I will always be recommended Edge and have it highlighted by default.  I will never be able to use Edge here so stop recommending it... can this behavior be disabled somehow? Not even pinning the Internet Explorer link to the start menu prevents this. If I had any other shortcuts that started with the word &quot;internet,&quot; it still offers Edge and is preselected. At least if I type in &quot;chrome,&quot; Chrome is selected first. Windows 10 Pro 1909 (18363.900) When a land becomes creature, can you kill it? Some lands have an ability to become a creature, but they usually say they are still a land. If a land is a 3/3 creature and a land, can you target and kill it with a  to send it to the graveyard, or does it remain in play as a land? "Use self" doesn't work? I'm currently working with drivers in Blender 2.81 and want to use self but it doesn't work.   For example drive the rotation by the location, I'm adding a driver to the rotation, check the Use Self box and write self.location.x  Blender return the message: ERROR Invalid Python expression.  Have I missed something, is it a bug?  edit: