(a) Simplify (A B) 2 [(A B) B] A by using (3.9). (b) Prove Lagranges identity

Introductory Chemistry 5
Determine the electron and molecular geometries of each molecule. (Hint: Determine the geometry around each of the two central atoms.) (a) \(\mathrm{C}_{2} \mathrm{H}_{2}\) (skeletal structure HCCH) (b) \(C_{2} H_{4}\) (skeletal structure \(\mathrm{H}_{2} \mathrm{CCH}_{2}\)) (c) \(C_{2} H

Introductory Chemistry 5
What is the difference between a strong acid and a weak acid?

University Physics 13
Problem 61P For a string stretched between two supports, two successive standing-wave frequencies are 525 Hz and 630 Hz. There are other standing-wave frequencies lower than 525 Hz and higher than 630 Hz. If the speed of transverse waves on the string is 384 m/s, what i

Principles of General Chemistry 2
Problem 17P Use condensed electron configurations and Lewis electron-dot symbols to depict the ions formed from each of the following atoms, and predict the formula of their compound: (a) Cs and S (b) O and Ga (c) N and Mg (d) Br and Li

Physics: Principles with Applications 6
A heavy rainstorm dumps 1.0 cm of rain on a city 5 km wide and 8 km long in a 2-h period. How many metric tons (1 metric ton = 103 kg) of water fell on the city? [\(1\ \text{cm}^3\) of water has a mass of \(1\ \text{gram}=10^{-3}\ \text{kg}\).] How many gallons of water was this?

OpenIntro Statistics 3
Assortative mating. Assortative mating is a nonrandom mating pattern where individuals with similar genotypes and/or phenotypes mate with one another more frequently than what would be expected under a random mating pattern. Researchers studying this topic collected data on eye colors of 204 Scandina

University Physics with Modern Physics (1) 14
A flat piece of glass covers the top of a vertical cylinder that is completely filled with water. If a ray of light traveling in the glass is incident on the interface with the water at an angle of ua = 36.2, the ray refracted into the water makes an angle of 49.8o with the normal to the interface. W

Principles of Economics 6
Why do economists make assumptions?