Let S = {0, 1} and consider the partial order relation R defined on S ✕ S as follows: For all ordered pairs (a, b) and (c, d) in S ✕ S, (a, b) R (c, d) ⇔ a ≤ c and b ≤ d, where ≤ denotes the usual "less than or equal to" relation for real numbers. Find a chain of length 2 for R.

The length of a rectangle is x times the square root of 100. the width is one-half y more than three-halves x. given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y? a) 5xy − 15x = 125 b) 5xy + 15x = 125 c) 15x2 − 5xy = 125 d) 15x2 + 5xy = 125

You buy 4 items that cost 2.69 14.45 8.05 13.95 what is the estimated total round to the nearest dollar

Robin spent 25% more time on his research project than he had planned he’s been an extra h ours on the project which of the following expressions could represent the number of hours rob actually spent on the project