The reverse of a string, introduced informally above, can be defined more precisely by the recursive rules ar = a, (wa)r = awr, for all a ∈ σ, w ∈ σ*. use this to prove that (uv)r = vrur, for all u, v ∈ σ+.

Ramon is graphing the function  f(x) = 3(4)x. he begins by plotting the initial value. which graph represents his initial step?

Check my work the microprocessor is a(n) circuit, which is designed to process data based on a set of instructions. most desktop and laptop devices contain a microprocessor based on the standard. most tablets and smartphones contain processors based on technology. a microprocessor's circuitry is designed to perform a limited number of tasks contained in its set. during processing, an instruction is loaded into the processor's unit. data is loaded into registers in the processor's where arithmetic and logic operations are performed. microprocessor performance can be measured by its speed. other factors affecting overall processing performance include word size, cache size, and instruction set complexity. most digital devices contain only one microprocessor chip, but today's multi- processors contain circuitry that supports parallel processing. computers contain various kinds of memory. random memory is a special holding area for data, program instructions, and the system. it stores data on a temporary basis until the processor makes a data request. ram is different from disk storage because it is , which means that it can hold data only when the computer power is turned on. computers also contain read- memory, which is a type of non-volatile memory that provides a set of "hard-wired" instructions, called the loader, that a computer uses to boot up.

Awell-diversified portfolio needs about 20-25 stocks from different categories is this true or false?