There is a relationship between a perceived corruption and human development in a country that can be modeled by H(x)=0.3+0.28lnx. In this formula, x represents the Corruption Perception Index, where 1 is very corrupt and 10 is least corrupt. The output gives the Human Development Index, which is between 0.1 and 1 with 1 being the best for for human development.

a) For country A, x=7. Evaluate H(7) and interpret the result.

b) The Human Development Index is 0.66 for country B. Find the Corruption Perception Index for country B.

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?