The area of a rectangle whoose perimeter is a fixed 80 feet is given by a=40w-w^2, where w is the width of the rectangle. determine the width of the rectangle that gives the maximum area. what type of special rectangle ia necessary to produce this maximum area? justify.

Match each equation with the operation you can use to solve for the variable. 1 subtract 10 2 divide by 10 3add 18 4add 10 5 subtact 18 6multiply by 5. 7multiply by 10. a 5 = 10p b p + 10 = 18 c p + 18 = 5 d 5p = 10

Write each of the following numerals in base 10. for base twelve, t and e represent the face values ten and eleven, respectively. 114 base 5 89t base 12

In 2000, for a certain region, 27.1% of incoming college freshman characterized their political views as liberal, 23.1% as moderate, and 49.8% as conservative. for this year, a random sample of 400 incoming college freshman yielded the frequency distribution for political views shown below. a. determine the mode of the data. b. decide whether it would be appropriate to use either the mean or the median as a measure of center. explain your answer. political view frequency liberal 118 moderate 98 conservative 184 a. choose the correct answer below. select all that apply. a. the mode is moderate. b. the mode is liberal. c. the mode is conservative. d. there is no mode.