UW Smokestacks has a chimney which needs cleaning regularly. Soot builds up on the inside of the chimney at a rate of 1cm per month. The cost of cleaning when the soot has thickness x cm is 13 + x2 hundred dollars. Cleaning can occur at the end of any month. The chimney is clean at present (i. e. at the start of month 1). According to the contract with the cleaners, it must be cleaned precisely nine times in the next 48 months, one of which times must be at the end of month 48. Also, at least three cleanings must occur in the first 15 months.
It is needed to determine which months the cleaning should occur, to minimize total cost. Formulate a nonlinear mathematical program to solve this problem, such that all constraints are either linear or integrality constraints.

Amanda needs to create an informative print brochure for her local library’s fundraiser dinner. what critical detail must she have before she starts designing the brochure?

My has been slow anyone else’s ?

Read this excerpt from helen keller’s autobiography, the story of my life. have you ever been at sea in a dense fog, when it seemed as if a tangible white darkness shut you in, and the great ship, tense and anxious, groped her way toward the shore with plummet and sounding-line, and you waited with beating heart for something to happen? i was like that ship before my education began, only i was without compass or sounding-line, and had no way of knowing how near the harbour was. "light! give me light! " was the wordless cry of my soul, and the light of love shone on me in that very hour. . the morning after my teacher came she led me into her room and gave me a doll. the little blind children at the perkins institution had sent it and laura bridgman had dressed it; but i did not know this until afterward. when i had played with it a little while, miss sullivan slowly spelled into my hand the word "d-o-l-l." i was at once interested in this finger play and tried to imitate it. when i finally succeeded in making the letters correctly i was flushed with childish pleasure and pride. running downstairs to my mother i held up my hand and made the letters for doll. i did not know that i was spelling a word or even that words existed; i was simply making my fingers go in monkey-like imitation. in the days that followed i learned to spell in this uncomprehending way a great many words, among them pin, hat, cup and a few verbs like sit, stand and walk. based on this excerpt, which words best describe helen keller?