Suppose and u(x) = 5x^3 - x^2 - 3x + 9, v(x) = 3x^2 - x - 7, w(x) = 3x^3 + x^2 - 4, f(x) = u(x) + v(x) - w(x) Select from the available choices to make the following sentence true. is a polynomial function with a degree of
-4
1
2
3
6
a constant term of
-4
1
2
3
6
and a leading coecient of
-4
1
2
3
6

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?