Prove that a nonidentity element of a group has order 2 iff it is its own inverse

Physics: Principles with Applications 6
Problem 49P The rings of Saturn are composed of chunks of ice that orbit the planet. The inner radius of the rings is 73,000 km, while the outer radius is 170,000 km. Find the period of an orbiting chunk of ice at the inner radius and the period of a chunk at the outer radius. Compare your numbers wi

Elementary Statistics: A Step by Step Approach 8th ed. 8
Determine whether these events are mutually exclusive. a. Roll a die: Get an even number, and get a number less than 3. No b. Roll a die: Get a prime number (2, 3, 5), and get an odd number. No c. Roll a die: Get a number greater than 3, and get a number less than 3. Yes d. Select a student in your c

Principles of Economics 2
Why do economists use the ceteris paribus assumption?

Biology 2e by Openstax
The building blocks of nucleic acids are ________. a. sugars b. nitrogenous bases c. peptides d. nucleotides

Biology: The Dynamic Science 5
The number of individuals per unit area or volume of habitat is called the populations: a. geographical range. b. dispersion pattern. c. density. d. size. e. age structure.

Experimental Psychology 7
Design a correlation-based study or a quasi-experiment to test each of the following: a. Hot weather is associated with higher rates of violence in the streets. b. Rap music causes people to become more sexist (rather than the other way around). c. Childhood schizophrenia can be predicted from cognit

Biology: The Dynamic Science 5
Is learning always superior to instinctive behavior? If you think so, why do so many animals react instinctively to certain stimuli? Are there some environmental circumstances in which being able to respond correctly the first time would have a big payoff?

Plant Systematics 3
What is a primary tenet of phylogenetic systematics with respect to apomorphies?