Given matrices A = 
, B = 
, and C = 
, decide if the statement is true or false.(A + B)2 = A2 + 2AB + B2, where A2 = AA and B2 = BB.
A. True
B. False
Answer: B
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Solve the problem.A conical tank is resting on its apex. The height of the tank is 
, and the radius of its top is 
. The tank is full of gasoline weighing
How much work will it take to pump the gasoline to the top? Give your answer to the nearest ft ? lb.
A. 18,473 ft ? lb B. 4,033,713 ft ? lb C. 147,781 ft ? lb D. 337,784 ft ? lb
Solve the problem.Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. The total income from all 3 investments is $1600. The income from the 5% and 6% investments is the same as the income from the 8% investment. Find the amount invested at each rate.
A. $8000 at 5%, $10,000 at 6%, $7000 at 8% B. $10,000 at 5%, $5000 at 6%, $10,000 at 8% C. $10,000 at 5%, $10,000 at 6%, $5000 at 8% D. $5000 at 5%, $10,000 at 6%, $10,000 at 8%
Find the difference. Simplify the result.
- 
A. 
B. 
C. 
D. 
Find a and b.If 1 < x < 7, then a < 3x + 7 < b.
A. a = -4, b = 14 B. a = 8, b = 14 C. a = 10, b = 28 D. a = 11, b = 17