An element of material in a thin plate experiences two stress systems superimposed upon each other as follows: (i) uniaxial tension of 60 mpa in the x-direction, and (ii) uniaxial compression of 40 mpa along a line which makes an angle of 60º counter-clockwise to the x-direction.

Awoman has 14 different shirts: 10 white shirts and 4 red shirts. if she randomly chooses 2 shirts to take with her on vacation, then what is the probability that she will choose two white shirts? show your answer in fraction and percent, round to the nearest whole percent.

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.

Graph each quadratic function and identify its key characteristics. f(x) = x^2 - 2x - 3