Three wishes from a genie-of-the-lamp
3 wishes from the genie in the bottle
3 wishes from the genie in the bottle
pb to a t y
water oil gas
3 wise men
Number 1 1st Branch: P(G) 1/3 P(W) 2/3 2nd Branch P(G) 1/5 P(W) 4/5 Total Probability P(G) 1/15 P(W) 4/15
We assume W is the weight of the boat and w < W is the weight of the pontoon. So the total boat/pontoon weight that must be buoyed in order to float is W + w. To float, the boat and pontoon must displace W + w weight of water. The density of water is about rho = 1000 kg/m^3; so the boat has to displace W = rho V g or V = W/(rho g) and the pontoon v = w/(rho g) m^3 of water. g = 9.81 m/sec^2 is the average acceleration of gravity EX: If w = 100000 N, the pontoon must displace about v = w/(rho g) = 100000/(1000*10) = 10 m^3 of water to buoy that pontoon. (I used g ~ 10 m/sec^2 for ease in calculation)
Concentration can be expressed in different ways. For 3 g NaCl (salt) in 97 g water, it could expressed as 3% (w/w), or it could be 0.51 molal. Without knowing the density of the solution, you cannot reliable estimate the molarity.
6 strings on Mr Weedon's guitar
The heat lamp's heat will travel to the holder and it will be damaged, melt, or cause a slight fire!
Because the filament of a 25-W lamp has a higher resistance than that of a 60-W lamp and, therefore, will experience a greater voltage drop -the lamp with the voltage drop closer to its rated voltage (in this case, the 25-W lamp) will be the brighter.
There are 6 white cubes and 3 green cubes. Algebraically, the equations are W = white cubes, G= green cubes W+G = 9 and W = 2G so substituting we have 2G + G = 9, and 3G = 9, so G=3 and W=6.