number theory, Mathematics

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#mathematics induction, how many numbers must be selected from the set A={1...

how many numbers must be selected from the set A={1, 3, 5, 7, 9, 11, 13, 15}to guarantee that at least one pair of these numbers add up to16? Explain and justify your answer

Fractions, how do you multiply fractions

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Which expression below is equal to 5, Which expression below is equal to 5?...

Which expression below is equal to 5? The correct order of operations must be used here. PEMDAS tells you in which you should do the operations in the subsequent order: Pare

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Proof of various limit properties, PROOF OF VARIOUS LIMIT PROPERTIES In...

PROOF OF VARIOUS LIMIT PROPERTIES In this section we are going to prove several of the fundamental facts and properties about limits which we saw previously. Before proceeding

Find the length of the boundary and the area of the shaded, The boundary of...

The boundary of the shaded portion in the adjoining figure consists of our half-circles and two quarter-circles.  Find the length of the boundary and the area of the shaded portion

Finite difference method, Two reservoirs of equal cross sectional areas (31...

Two reservoirs of equal cross sectional areas (315 m 2 ) and at equal elevations are connected by a pipe of length 20 m and cross sectional area 3 m 2 . The reservoir on the left (

Personal assistance needed, I have an original finding on the subject of pr...

I have an original finding on the subject of prime distribution and would like expert help in my endeavors. I have written a paper describing everything in detail and demonstration

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