Why Do People Steal Hotel Towels, When Hundreds of People Have Used Them to Dry Their Never Regions?

Because they are free. Plus a lot of people get a thrill out of stealing something but not everyone is brave enough to take something major, so they steal little thing knowing they wo not really get in trouble for it

1. what are the two regions of an atom?

The nucleus and the electron cloud

2. How hard is it to drive a U-Haul truck? I'm most concerned about the mountainous regions between the Midwest and both coasts.

If you understand about downshifting into a lower gear, and staying off the brakes on the downhill stretches to avoid overheating the brake pads, then the rest should be very straightforward.If you do not understated about downhill driving in a truck then Google it, learn it, and be damn sure you do it

3. What does "gravitational waves can penetrate regions of space that electromagnetic waves cannot" mean?

At present the universe is transparent to light, but it wasn't so in the early universe just after big bang. The early universe was opaque to light and our telescopes cannot penetrate this region at present. But gravitational waves can penetrate this opaque region and bring us some knowledge about earlier universe.

4. Which regions of the US are best suited for residential geothermal heating and cooling?

Almost anywhere in the US is well suited for geothermal heating and cooling! I found a nice visual map that I am linking to in resources. Temperatures will always be more moderate beneath our feet

5. calculate the frequency of light & finding regions of electromagnetic spectrum?

For an ideal (harmonic) quantum oscillator, the vibrational energy levels are given by: E_v = (v 0.5)* nu * h where E_v is the energy of the v'th vibrational level (v = 0, 1, 2....) nu is the natural frequency (Hz) of vibration of the corresponding classical harmonic oscillator, and h is Planck's constant = 6.626 * 10^-34 m^2 * kg / s The classical natural frequency of vibration of a diatomic molecule is given by: nu = (1/(2*pi)) * sqrt(k/M) where k is the force constant and M is the "reduced mass": M = m1*m2/(m1m2), where m1 and m2 are the masses of the two atoms in the molecule. For 1H 35Cl, we have that m1 = 1.0078 gm/mol and and m2 = 34.9688 gm/mol, so M = (1.0078 * 34.9688)/(1.0078 34.9688) = 0.9796 gm/mol = 1.627*10^-24 gm (per molecule - found by dividing by Avogadro's number)). Using this value plus the value for the force constant you were given, we have that the natural frequency is: nu =(1/(2*pi)) * sqrt((516 N/m)/1.627*10^-24 gm) = 8.964*10^13 Hz For the transition between the v = 0 to v = 1 states: delta-E(0->1) = E_1 = E_0 = nu*h The frequency, f, of a photon corresponding to this energy is given by f = E(0->1)/h (remember that E = h*f), so the frequency of light with energy corresponding to the energy of this transition is simply f = nu = 8.964*10^13 Hz. The wavelength of this photon is c/nu = 3.345 microns. This is in the infrared portion of the electromagnetic spectrum. For a quantized rigid rotor, the energy levels are: E_J = J*(J1)*(h^2)/(8 * pi^2 * I) Where E_J is the energy of the J'th rotational state (J = 0, 1, 2 ....) I is the moment of intertia and the other symbols are as above For the transition from the J= 0 to the J=1 state, we have that: delta-E(0->1) = 2 * (h^2)/(8 * pi^2 * I) This corresponds to a photon with frequency: f = (delta-E(0->1))/h = 2*h/(8 * pi^2 * I) Plugging in the values for h and I yields: f = 6.348*10^11 Hz, which corresponds to a wavelength of c/f = 0.472 mm, which is in the far infrared (almost microwave) portion of the electromagnetic spectrum.

6. Identify the regions (North, South, East and West) dominated by the Roman Empire at its height ???

As far North as England and Wales, as far South as when the Nile breaks to become the Blue and the White Nile rivers, as far East as the Caspian Sea, and as far West as where Portugal is now

7. What makes Southern Africa different from other Sub-Saharan regions?

The climate is different. It is cooler and drier in some areas. The cool climate helped to prevent Bantu-speaking farmers from establishing themselves in some areas. This allowed Khoisan-speaking hunter/gatherers and herders to avoid being absorbed by Bantu farmers and helped European farmers to establish themselves in some areas (because the climate is similar to Europe). That is why South Africa has a large white population.