Solve the problem.Follow the pattern in the first array to fill in the missing entries in the second array.
A. From upper left to lower right: 4, 15, 19
B. From upper left to lower right: 6, 7, 13
C. From upper left to lower right: 14, 9, 23
Answer: B
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Solve the problem.The temperature at the South pole was 4° at 8 am. At 3 pm, it was -26°. By how many degrees did the temperature drop?
A. -30° B. 22° C. 30° D. -22°
Solve the problem.When an alternating current passes through a series RLC circuit, the voltage and current are out of phase by angle ?. Here ? = tan-1[(XL - XC)/R], where XL and XC are the reactances of the inductor and capacitor, respectively, and R is the resistance. Find d?/dR for constant XL and XC.
A.
B.
C.
D.
An investor has $450,000 to invest in two types of investments. Type A pays 6% annually and type B pays 7% annually. To have a well-balanced portfolio, the investor imposes the following conditions. At least one-third of the total portfolio is to be allocated to type A investments and at least one-third of the portfolio is to be allocated to type B investments. What is the optimal amount that should be invested in each investment?
A. $160,000 in type A (6%), $290,000 in type B (7%) B. $0 in type A (6%), $450,000 in type B (7%) C. $450,000 in type A (6%), $0 in type B (7%) D. $300,000 in type A (6%), $150,000 in type B (7%) E. $150,000 in type A (6%), $300,000 in type B (7%)
Evaluate the expression, given x = -2, y = 3, and a = -4.
A. Undefined
B. -
C.
D. 0