The number of diagonals D for a polygon of n sides is given by . Find the numberof sides for a polygon that has 14 diagonals.

What will be an ideal response?


Answer: 7

Mathematics

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Solve the problem.Evaluatewhere R is the interior of the ellipsoid . Hint: Let     and then convert to spherical coordinates.

A. 90?2 B. 120? C. 120?2 D. 90?

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Solve the problem.At the two points where the curve x2 + 2xy + y2 = 25 crosses the x-axis, the tangent lines are parallel. Find the common slope of these tangents.

A. -1
B. 1
C.
D. -5

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Solve the absolute value inequality. Write the solution set using interval notation.|11x - 9| < -4

A. (-?, ?)
B.
C.  ? 
D. ?

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Solve the problem.An artifact is discovered at a certain site. If it has 67% of the carbon-14 it originally contained, what is the approximate age of the artifact to the nearest year? (carbon-14 decays at the rate of 0.0125% annually.)

A. 3204 years B. 1391 years C. 5360 years D. 2640 years

Mathematics