A bacterial culture grows according to the formula 
. If it takes 9 days for the culture to triple in size, how long will it take to double in size? Round your answer to the nearest tenth of a day.
?
A. 6.4 days
B. 6.1 days
C. 6.9 days
D. 5.7 days
E. 5.4 days
Answer: D
Mathematics
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Express the symbolic statement ~p in words.p: Everyone is asleep.
A. Nobody is awake. B. Not everyone is asleep. C. Nobody is asleep. D. Everyone is awake.
Mathematics
Solve by any method. If there is not one solution to a system, state why. x - 4y = -28-4x - 5y = -56
A. (4, 8) B. (-4, 9) C. (3, 9) D. (3, 8)
Mathematics
For the piecewise function, find the specified function value.f(x) = {
f(7)
A. 7 B. -28 C. 46 D. 49
Mathematics
State the dual of the linear programming problem.Maximize5x1?+ 6x2+ 6x3 subject to2x1?+ 3x2? 444x1?+x3?? 22??2x2?+ x3? 20and x1 ? 0, x2 ? 0, x3 ? 0
A.
| Minimize | 44y1? | + 22y2 | + 20y3 |
| subject to | 2y1? | + 4y2 | ? 5 |
| 3y1? | + | 2y3? | ? 6 |
| ? | ? | y2? | + y3? 6 |
B.
| Minimize | 44y1? | + 22y2 | + 20y3 |
| subject to | 2y1? | + 3y2 | ? 5 |
| 4y1? | + | 2y3? | ? 6 |
| ? | ? | y2? | + y3? 6 |
C.
| Minimize | 5y1? | + 6y2 | + 6y3 |
| subject to | 2y1? | + 4y2 | ? 44 |
| 3y1? | + | 2y3? | ? 22 |
| ? | ? | y2? | + y3? 20 |
D.
| Minimize | 44y1? | + 22y2 | + 20y3 |
| subject to | 2y1? | + 4y2 | ? 5 |
| 3y1? | + | 2y3? | ? 6 |
| ? | ? | y2? | + y3? 6 |
Mathematics