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If
x
+
y
= 5 and
xy
= 6, find the value of
x
3
+
y
3
.
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More Old MCQ
Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
If a certain soccer game ended 3:2, what is the probability that the side that lost scored first? Assume that all scoring scenarios are equiprobable.
Solve for the value of x if | x + 2 | > 2
Find the sum of the arithmetic sequence 2, 4, 6, 8, 10, 12.
A farmer owned a square field measuring exactly 2261 yards on each side. 1898 yards from one corner and 1009 yards from an adjacent corner stood a beech tree.
A combination lock has 60 different positions. To open the lock, the dial is turned to a certain number in the clockwise direction, then to a number in the counterclockwise direction, and finally to a third number in the clockwise direction.
In a gambling game a man is paid \$50 if he gets all heads or all tails when 3 coins are tossed, and he pays out \$30 if either 1 or 2 heads show. What is his expected gain?
If the power of an engine grows by 10% when the number of its cylinders is increased by one, which of the following is closest to the ratio of the power of a 9-cylinder engine to that of a 12-cylinder engine?
A mechanical device which when installed in the pipe will extract energy from the system.
Closed right circular cylinder 2 meter in diameter and 2-meter tall is partially filled with water. When lying in a horizontal position, the depth of water is 2/3 the diameter. When the cylinder is in the vertical position, what is the depth of water?
Express the following statement mathematically: 5 less than four times a certain number is 12.
A man and his wife invite 8 of their friends to a dinner. They are to be seated around a round table. How many arrangements can be made if the man and his wife are to sit side by side?
Solve for x if $e^{\ln (2x - 1)} = 5$.
Find the product of the roots of the quadratic equation $4x^2 + 2x - 1 = 0$.
vSk9ZBx-1 Find the uv-coordinates of the y-intercept of the given line.
Find the volume generated by revolving the area on the 1st and 4th quadrants by the ellipse y^2 / 9 + x^2 / 4 = 1 about the line x = 3.
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