Find all critical numbers for the function. State whether it leads to a local maximum, a local minimum, or neither.f(x) = -x3- 4.5x2 + 12x + 4
A. Local maximum at -4; local minimum at 1
B. Local maximum at -1; local minimum at 4
C. Local maximum at 1; local minimum at -4
D. Local maximum at 4; local minimum at -1
Answer: C
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At one high school, students can run the 100-yard dash in a mean of 15.2 seconds with a standard deviation of 0.9 seconds. The times are very closely approximated by a normal curve. Rounding to the nearest tenth of a percent as necessary, find the percent of times that are:Greater than 13.4 seconds
A. 97.5% B. 98% C. 84% D. 2.5%
Use a Venn Diagram and the given information to determine the number of elements in the indicated set.n(A ? B ? C) = 53, n(A ? B ? C) = 8, n(A ? B) = 18, src="https://sciemce.com/media/4/ppg__ttt0625191043__f1q209g6.jpg" alt="" style="vertical-align: -4.0px;" />
A. 5
B. 7
C. 4
D. 6
and 
Find
Solve the problem.The resistance of a wire varies directly as the length of the wire and inversely as the square of the diameter of the wire. A 20 foot length of wire with a diameter of 
has a resistance of 
What would the resistance be for a 
length, with diameter 
of the same kind of wire ?
A. 16.95 ohms B. -2.05 ohms C. 2.45 ohms D. 4.95 ohms
Solve the problem.A health shop owner made trail mix containing dried fruit, nuts, and carob chips. The dried fruit sells for $5.50 per pound, the nuts sell for $7.50 per pound, and the carob chips sell for $8.50 per pound. The shop owner mixed 50 pounds of the trail mix and sells it for $6.70 per pound. If the amount of nuts is five pounds more than the amount of carob ships, how much of each item was used for the trail mix?
What will be an ideal response?