Agardener makes a new circular flower bed. the bed is fourteen feet in diameter. calculate the circumference and the area of the circular flower bed.
a. circumference= 14pi feet, area = 196pi square feet

b. circumference = 14
feet, area = 14pi
square feet

c. circumference = 14pi
feet, area = 49pi
square feet

d. circumference = 7pi feet, area= 49pi square feet

Evaluate the expression for the given value of the variable. 5×(h+3) for h=7

Given the equation y − 4 = three fourths(x + 8) in point-slope form, identify the equation of the same line in standard form. −three fourthsx + y = 10 3x − 4y = −40 y = three fourthsx + 12 y = three fourthsx + 10

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i. e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)