How long of a ladder is needed to reach a window sill 50 feet above the ground if the ladder rests against the building making an angle of 75∘ with the ground? Round your answer to the nearest foot and do not include units.

Colin listed his assets and liabilities on a personal balance sheet. colin’s balance sheet (august 2013) assets liabilities cash $1,500 credit card $500 stocks $800 rent $800 car $5,000 car loan $1,200 coin collection $1,200 student loan $5,000 total total which statement is true about the total assets and the total liabilities? the total of the assets and the liabilities are the same. the total of the assets is greater than the total of the liabilities. the total of the assets is less than the total of the liabilities. the total of the assets cannot be compared to the total of the liabilities.

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.

Find the directions in which the function increases and decreases most rapidly at upper p 0p0. then find the derivatives of the function in these directions. f(x, y)equals=x squared plus xy plus y squaredx2+xy+y2, upper p 0p0left parenthesis 1 comma negative 4 right parenthesis