Discrete Mathematics Answers

If A is the set of triangles in a plane then prove that the relation R defined by “a is similar to b ” is an equivalence relation?

i need someone to calculate CPI starting from £0.25 all the way to £2.00 over 1000views starting from £0.25 all the way to £2.00 for example if you charge 1p for one impression and receives 1000 impressions you will receive £1 i want you to start with as low rate of £0.25p for 1000 impression all the way up to how much i will earn with £0.25 for 1000000000000000 impressions and the same for 26p 27p 28p all the way to £2 can this be done on excell aswell please

Let E = {2, 4, 6, …}. Then prove that (E, +) is a semigroup, where + is usual addition.

prove that the any restaurant bill of $n,n>or=5 be paid exactly using only $2 and $5 bills

Prove by principle of Mathematical induction that sum of squares of first n natural
number is {n(n+1)(2n+1)}/6

If A is the set of triangles in a plane then prove that the relation R defined by “a is
similar to b ” is an equivalence relation?

If K is a constant, show that K(x-a) = o(x-a) [yes that is a "o" not a "0"] if and only if K=0.

Let a,b, c be integers. Prove that if a|b and a|(b+c) then a|c.

Use the sigma notation to indicate the sum of all odd integers from 3 through 7643 inclusive

The nine employes of the Ellington Dance Studio each earn $600 per week. A new employee is hired who earns $1500 per week.
Describe how the new employee's earnings will affect the mean and median earnings of Ellington Studio's employees. Use mathematics to support your answer