The chemistry class of 28 students could prepare m solutions in t hours. If 8 students were absent, how long would it take them to prepare 45 solutions?

Determine whether the described scatter plot is possible. sketch a graph of the scatter plot if you believe it is possible. give an explanation if it is not possible (a) can a scatter plot show a nonlinear and a positive association? (b) can a scatter plot show a nonlinear and a negative association? (c) can a scatter plot show a linear association but neither a positive nor a negative association!

Let v be the vector space p3[x] of polynomials in x with degree less than 3 and w be the subspace w=span{1−5x−4x^2,−(1+x+5x^2)}. find a polynomial q(x) in v∖w. q(x)=

Alice is paying her bill at a restaurant. the tax on the cost of her meal is 5%. she decides to leave a tip of 20% of the cost of the meal plus the tax. write an expression for her total bill if the cost of her meal is m dollars. write your answer in simplified form.