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Mathematics

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Write one or more inequalities that describe the set of points.The closed region bounded by the spheres of radius 9 and 10, both centered at the origin, and the planes  and 

A. 81 ? x2 + y2 + z2 ? 100 and 1 ? x ? 9 B. 9 ? x2 + y2 + z2 ? 10 and x = 1 and x = 9 C. 9 < x2 + y2 + z2 < 10 and x = 1 and x = 9 D. 81 < x2 + y2 + z2 < 100 and 1 < x < 9

Mathematics

Find the circumference of the circle whose radius or diameter is given. Use  or  as indicated. d = 9 mi. Use ? ? 3.14.

A. C ? 63.59 mi B. C ? 28.26 mi C. C ? 56.52 mi D. C ? 14.13 mi

Mathematics

The helix (t)= 2costi+sintj+tk intersects the curve (t) = (2+t)i+10t²j+9t³k at the point (2, 0, 0). Find the angle of intersection.

What will be an ideal response?

Mathematics

Solve the problem.The table shows the number of new cases of a certain disease among women in six consecutive years. Data are in thousands rounded to the nearest hundred.YearNew Cases (thousands)20053.020063.420074.620085.420096.0201016.1Let x = 1 correspond to 2005 and let y be the number of new cases (in thousands) among women in year x. Find a quadratic function to model the data. Round to three decimal places if necessary.

A. y = 0.623x2 - 5.645x + 8.69 B. y = 6.69x2 - 3.645x + 0.823 C. y = 0.945x2 - 5.212x + 8.921 D. y = 0.823x2 - 3.645x + 6.69

Mathematics