Search 81,119 tutors

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)...

This is a standard physics question.  The acceleration (g) will be nearly constant.  Technically, g will change as a function of distance from the center of the Earth, but change in 'g' for a ball toss on Earths surface will be extraordinarily negligible.  If you were near a black...

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...

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 typically...

Phyllis:   As Vivian points out, graphing is ONLY useful in 2-dimensions (2D).  A computer application (Matlab or other), can plot things in 3D for visual analysis, but manual plotting only makes sense in 2D.  Why?  Because you are plotting on a 2D surface.  Perhaps...

Phyllis,   Just to add a bit more information, "Elimination" Can have a variety of other interpretations.  Elimination techniques typically refer to 'row reduction' to achieve 'row echelon form.'  Do not worry if you have not heard of these terms.  They are...

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...

Robotics utilize several disciplines.  The answer to your question is a function of what you are interested in.  If you are interested in hardware, you will want to pursue courses in logic design, power systems, servo control, Firmware design and Microprocessor programming.  Programming/debugging...

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...

1) A=LW = 28 in 2) L = 3W + 8   Substitute L = 28/W into the 2nd equation   28/W = 3W + 8 28 = 3W^2 + 8W 3W^2 + 8W - 28 = 0 (3W+ 14)(W - 2) = 0   Note that the answer must be positive therefore the second 'zero' is the answer   W=2...

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...

Not at all!  You may be dealing with a process that has a large SD.  The type of distribution (uniform, Normal, lognormal, exponential,etc) will also dictate SD.  Some processes simply have greater SD than others even when it is the SAME PROCESS.   Take for example the...

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...

This is very standard stuff.  Any standard calculus text will demonstrate the techniques and provide very nice graphical depictions.  The circumference is more straightforward while the Area can be achieved in (polar, rectangular or parametric variables).  Polar coordinatess are the...