A rectangular storage container with an open top is to have…

A rectangular storage container with an open top is to have a volume of 16 cubic meters. The length of its base is twice its width. Material for the base costs $3 per square meter and material for the sides costs $2 per square meter. Find the dimensions of the cheapest such container, and state its cost.

READ CAREFULLY! For the next 4 questions (11–14), work out t…

READ CAREFULLY! For the next 4 questions (11–14), work out the problems on a clean piece of paper, showing all your work and putting boxes around your final answers. In Question 15, you will be asked to scan your work and upload it as a single PDF file. Scan the pages in order, one problem per page. Do NOT use your phone for scanning until you get to Question 15 — once you reach it, you may use your phone to scan and submit your work.

Assume the gene encodes a 300-amino-acid enzyme, no alternat…

Assume the gene encodes a 300-amino-acid enzyme, no alternative start codon is used, and the catalytic residue is essential. Classify the predicted functional disruption using all information in each row.A synonymous change occurs in the final third of the coding region and does not alter splicing. [row1]A one-nucleotide deletion occurs at codon 2. [row2]Three nucleotides are inserted into a flexible, nonconserved tail, and activity falls to 60 percent. [row3]A missense mutation changes the catalytic residue and leaves less than 5 percent activity. [row4]A conservative surface substitution leaves 85 percent activity. [row5]A nonsense mutation at codon 240 removes a regulatory tail but preserves the catalytic domain. [row6]