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Answers by Tom D.

Monty Python addressed this excellent question in a movie by the same title.     But all kidding aside the actual answer is 42.

Factor the number to its prime constituents.   Begin by reducing even numbers (divide by 2) Continue by recognizing other factors that have multiples   648=(2)(2)(2)(81)    (just keep dividing by 2 until you can no longer do it 648=(2)(2)(2)(9)(9)...

Yes.  Conservation of mass is a fundamental conservation law in Science for most processes.     Energy is always conserved when Mass-Energy equivalence is taken into account.  Mass, however, is not always conserved since it can be transformed to energy.  The only...

Let .8[7] be defined as .8777.... where SQUARE brackets are used to denote repeating quantities   .8[7]= .8 + [.07] = .8 + [.7]/10   Let x= [.7]   10x= 7 + x    <----think about that for awhile (it's a recursion relation)   x=7/9   Now...

Word Problem (answer)

Hi Alyssa,   I can't see the equations, but I bet one of them looks something like this:   H = 7hr + ($410-$210)/($20/hr) = 17 Hours

Hi L, We think you meant that Amber was rowing 1 mph faster while rowing UPSTREAM. 1) The Distance they both row is presumably 6miles 2) Rate * Time = Distance 3) However Rate is the (Signed) sum of the rowers rates (Va,Ve) and the current rate (Vc) 4) Va=Ve+1 (Amber...

ln(ex) = x   By definition where the base is 'e' and ln() is the 'natural logarithm'   Typically 'log()' is reserved for base=10 logarithms.   e=∑(1/n!) (n=0-->infinity) = lim(n-->inf) of (1+1/n)n   'e' is the most fascinating number that exists (IMHO)...

Typically a triangle is presented with certain common or congruent sides and angles. Additional information may also be given (∠1 ≅∠2), (midpoints), (angle bisectors). The student is then asked to prove that the triangles are congruent using SSS, SAS, AAS or (ASA) congruency tests. This will...

1) F + W = 80,000 2) F/6 = W/4    (A quarter of Winstons income is equal to one sixth of Frans income) 3) F=3/2W  (rearranging 2)   Plug 3) into 1)   5/2W = 80,000 W = 32,000 F  = 48,000    (Using 3)

nQ+mD = 13.80 (n Quarters and m Dimes). Written differently: 1) .25n+.1m = 13.80 2) n = 2m (Twice as many quarters than dimes) Substitute 2) into 1) .25(2m)+.1m=13.80 .6m = 13.80 m= 23 (23 Dimes = $2.30) n = 46 (46 Quarters = $11.50) Total...

This is an important lesson of the "time value of money." It's VERY important to start investing as early as possible. Of course timing is also important, but you don't have any control over that. There is a bit of luck involved with your initial entry to the marketplace. The best case...

maths help (answer)

Jyothi,   You posed this question yesterday.  I am confused by the rules.  Tell me if I am understanding you   Lets choose k=4.  Then each side can play 2k=8 moves at a time.  White can start out with    1)N-a3 2)N-c4 3)N-d6 4)N-h3 5)N-g5 6)N-e4 7)N-f6 8)Any...

It's typically a cultural tradition.  Water is invariably served with ice in the USA.  I just did a search and find Hong Kong serves hot water while charging extra for ice.  I find that amusing.  I suppose ice DOES cost more to maintain than straight water from the tap.  Americans...