Solve the problem.If n(B) = 36, n(A ? B) = 7, and n(A ? B) = 63, find n(A).
A. 27
B. 32
C. 36
D. 34
Answer: D
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The following table shows the average rice yield Y, in tons per hectare, on Asian farms t years after 1980. Based on the regression equation, what would you expect to be the average rice yield in 2012? t 5 10 20 25Y 3.39 3.64 3.97 4.13? ?
A. 5.19 tons per hectare B. 4.99 tons per hectare C. 5.18 tons per hectare D. 4.52 tons per hectare
Find the indicated matrix.Let A = 
, B = 
and C = 
. Find A + B - C.
A. 
B. 
C. 
D. 
An elderly rancher died and left her estate to her three children. She bequeathed her 71 prize horses in the following manner: 1/2 to the eldest, 1/3 to the second child, and 1/9 to the youngest.
? The children decided to call in a very wise judge to help in the distribution of the rancher's estate. The judge arrived with a horse of his own. He put his horse in with the 71 belonging to the estate, and then told each child to pick from among the 72 in the proportions stipulated by the will (but be careful, he warned, not to pick his horse). The first child took thirty six horses, the second child took twenty four, and the third child, eight. The 71 horses were thus divided among the children. The wise judge took his horse from the corral, took a fair sum for his services, and rode off into the sunset. ? The youngest son complained that the oldest son received 36 horses (but was entitled to only 71/2 = 35.5 horses). The judge was asked about this, and he faxed the children the following message: "You all received more than you deserved. The eldest received 1/2 of an 'extra' horse, the middle child received 1/3 more, and the youngest, 1/9 of a horse 'extra.'" Apportion the horses according to Adams', Jefferson's, and Webster's plans. Which plan gives the appropriate distribution of horses? ? A. Adams' plan and Jefferson's plan B. Webster's plan and Jefferson's plan C. None of the plans D. Adams' plan E. Adams' plan and Webster's plan
Factor completely. State that the polynomial is prime if it cannot be factored.48x2 + 28xy + 4y2
A. (12x + 4y)(4x + y) B. 4(3x + y)(4x + y) C. 4(3x - y)(4x - y) D. prime