A company projects that its total savings S (in dollars) by converting to a solar-heating system with a solar-collector area A (in m2) will be equal to the formula below. Find the area that should give the maximum savings and find the amount of the maximum savings. S= 420A-0.25A^3

What is f(3) for the quadratic functionf(x)=2x2 + x – 12? f -3g 3h 6i. 9

Aresearch study is studying the effects of a new drug for osteoporosis alzheimer's disease (ad) for women above the age of 65 years. a group of individuals with osteoporosis is randomized into two groups. one group is treated conventionally, and the second group is treated with the new medication. assessments are made at 3, 6, 12, 36, and 48 months. the conventionally treated group is assessed for ad using a serum blood test, and the treatment group is assessed for ad using a pet radiotracer that binds to beta-amyloid plaques. in comparing these 2 trial arms, the authors of the study may encounter which type of bias? a. selection bias on the risk of developing b. measurement bias c. confounding bias d. recall bias e. lead-time bias

Acylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. what is the radius of the cone? a) 3 cm b) 5 cm c) 7 cm d) 9 cm