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In a ring R, an idempotent is an element x ? R such that x * x = x (where * denotes the ring multiplication). Show that if R is an integral domain, then R has exactly two idempotent elements.
How do you interpret the solution of a system of equations by the corresponding graph? Is there a basic difference between solving a system of equations by the algebraic method and the graphical method? Why?
There are two small cities, Santa Clara and Santa Rosa. Santa Clara has 20 houses and Santa Rosa has 15 houses. An inspector must randomly choose 5 houses in Santa Clara and 7 houses in Santa Rosa to inspect.
A firm is faced with the attractive situation in which it can be obtain immediate delivery of item it stocks for retail sale. The firm has, therefore, not bothered to order the item in any systematic way.
Find the prime of function
The problem that I'm having is that there is a nonconstant factor of (x^2+y^2+z^2)^(-1/2) appearing on the RHS of this equation, making it non-trivial to solve.
The population of a community is known to increase at a rate proportional to the number of people present at time t
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
Identical twins must be the same sex, but the sexes of fraternal twins are independent. Find What is the probability of fraternal twins
Choose the largest subset for cover, and then remove all its elements from universal set. Repeat by adding subset consisting of largest number of uncovered elements until all is covered.
State whether it is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.
Review Chi Square analysis & create an example of how you would use the tool to help make a business decision.
At the first tri-city meeting, there were 8 people from town A, 7 people from town B, and 5 people from town C
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