Recent content by lordvid

Can you show how to show G(4,4) exists, but G(4,3) does not? G(4,3) does exist, I think....1 + 4 + 4*3/3 or GROUP 1 is 1 person, GROUP 2 is 4 people, GROUP 3 is additional 4 people... If I'm doing something wrong, please correct...

Can people post solutions for questions without using LaTeX? Those of us with phones cannot see anything, and it's frustrating... Anyways, a non-algebraic counting method is as follows: This method shows the existence of a solution and (with no re-labelling) the construction shows the...

I think it is 100 also. I didn't use a graph/node method, I just counted, setting people up in groups and then reasoning for the need for new people, etc. but there is no way I am typing all of that up. suffice to say that Total = 1 + 22+ 21*22/6 = 100. I'm not sure though, and there must be a...

Hahaha...I would have thought something like this was from "Alice in Wonderland"... I can see the hookah-smoking caterpillar asking this question to Alice. Alice: "But what is the question?" Caterpillar: "That is the question." Alice: "I'm afraid I don't understand. What is the question?"...

Assuming the correct answer is one of the three possible answer (25%, 50%, 60%)....which are all equally probable at being the correct answer: If you choose an answer at random, you have prob. of 2/4 = 0.5 of choosing 25%, 1/4 of choosing 50%, 1/4 of choosing 60%. So the probability of...

Are you asking to prove this identity? If so, I think there may be a typo....the infinite series you have written down on the left hand side of that identity sums to 1/16...not 1/4 (you can check with MATLAB). The partial fraction sum you have written down sums to 4 times the fraction that...

Assuming you don't can break as many eggs as you want, you need to make a minimum of ceil(log_2_100) = 7 drops. But because you can only break 2...then you can get an exact floor height only for some cases.... For example, if the max height is 99...you break the egg dropped from the 50th...

I think you are supposing that the crows are landing one at a time on the wire. Even so, if a new crow lands between 2 old crows, it will choose the nearer old crow to crow at, and the other old crow will not be crowed at. The new crow need not necessarily land at the ends of the wire..... This...

Your solution seems to add to eight races---I do believe you can do it in seven. Assuming, of course, that you have no stopwatch to measure times and so you can only qualitatively see who is 1st, 2nd, 3rd, etc. in a five-horse race. Also assume no ties. (i) Organize into groups of five and...

yeah, you're right--it can also be followed by a question mark, exclamation point, etc etc. i should have said sentences written in present perfect (as in this case) are followed by a period--except simple sentences in present perfect but connatating commands, subjunctives, sarcsm, poetic...

Actually, I'd bet this is not from an actual SAT, but rather from an "SAT practice" book published outside the US. As others have told you, the answer is most probably A. I think they are just testing your knowledge of rudimentary grammar, and I don't believe the actual SAT tests grammar. "It...

yeah...but it didn't reach its dizzying height of glory until after the Revolution... you know better than me Cuba has such a great dance heritage of its own...why they sponsored ballet....

Over beers. :) Or Cuban ron if you have it :) edit: and don't forget the great social institution of the Cuban ballet! To celebrate the artistic beauty and high culture and good taste of the Revolution with the full blessing of Mother Soviet Union! The Cuban ballet even toured in Canada this...

For the most cited example, look up "Castrocare", especially the early development of Cuba's healthcare industry in the 1960s, in the decade following the Communist Revolution. (Not the sorry state to which it has sunk in the 21st century, 60 years after the Revolution and 20 years after the...

Allow me to explain exactly what I mean. Look up Misisones Bolivariones. http://es.wikipedia.org/wiki/Misiones_bolivarianas These were the much-celebrated programs to build up social infrastructure in Venezuela. The whole thing has turned into one big scam, one massive embezzlement scheme...