. The of the Hubble Space Telescope is better for shorter (bluer) wavelengths of light than for longer (redder) wavelengths of light. 2. The large research observatories on Mauna Kea use giant . 3. separate the various colors of light, allowing astronomers to determine stellar composition and many other stellar properties. 4. The twin 10-m Keck telescopes can work together to obtain better angular resolution through a technique known as . 5. The Chandra X-ray observatory focuses X rays with mirrors. 6. A 10-meter telescope has a larger than a 4-meter telescope. 7. Galileo's telescope designs using lenses were examples of .

0.19 m/s and 0.45 m/s

i am pretty sure it is c because when people are closer together, they cannot move as freely. picture being in a mostly full elevator, for instance. the people are right next to you, and you can barely move.

thermal energy is the answer

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .