Provide an appropriate response.The function P(x) = 2x +
, 0 < x < ? models the perimeter of a rectangle of dimensions x by
.(a) Find the extreme values for P.(b) Give an interpretation in terms of perimeter of the rectangle for any values found in part (a).
What will be an ideal response?
(a) The only critical point in the interval (0, ?) at x = 14.1. The minimum value of P(x) is at
(b) The smallest possible perimeter of the rectangle is units and it occurs at
which makes the rectangle a 14.1 by 14.1 square.
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Solve the problem.A bacteria colony doubles in 5 hr. How long does it take the colony to triple? Use N = N0 2t/T, where N0 is the initial number of bacteria and T is the time in hours it takes the colony to double. (Round to the nearest hundredth, as necessary.)
A. 7.5 hr B. 15 hr C. 7.92 hr D. 2.03 hr
Provide an appropriate response.A 1000-milliliter standard measuring device produces a reading of 998 milliliters for a calibrated device. What is the percent of error?
A. 0.002% B. 2% C. 0.02% D. 0.2%
Write the ratio as a fraction in lowest terms.8 to 8
A.
B.
C.
D.
Write the logarithmic equation in exponential form.log2 (8) = 3
A. 28 = 3 B. 83 = 2 C. 23 = 8 D. 32 = 8