Solve the problem.An open-top box is to be made by cutting small identical squares from each corner of a
sheet of tin and bending up the sides. If each corner square is x inches on a side, the volume of the box (in in.3) is given by: V(x) = 100x - 40x2 + 4x3Find V(2).
A. 76 in.3
B. 72 in.3
C. 152 in.3
D. 74 in.3
Answer: B
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Factor completely.15(a + 5)2 + 19(a + 5) + 6
A. (5a + 27)(3a + 18) B. (5a + 3)(3a + 2) C. (5a + 8)(3a + 7) D. (5a + 28)(3a + 17)
Solve the variation problem.The intensity of a radio signal from a radio station varies inversely as the square of the distance from the station. If the intensity is 8000 units at a distance of 2 miles, what will it be at a distance of 6 miles? Round to the nearest unit.
A. 915 units B. 853 units C. 889 units D. 872 units
Determine whether the sequence is arithmetic.3, 9, 27, 81, 243, . . .
A. Arithmetic B. Not arithmetic
Fill in the blank with the correct inequality symbol, < or >, to make a true comparison statement.-9 _____ 0
A. -9 < 0 B. -9 > 0