A soap maker manufactures bars of soap in three different sizes: 3. 15-ounce, 4-ounce, and 6-ounce bars. The company randomly surveyed people at a number of supermarkets across the country about which size bar they typically buy. Survey results showed that 40% buy the 3. 15-ounce bar, 50% prefer the 4-ounce bar, and 10% purchase the 6-ounce bar. If the company sells 62,500 bars of soap each day, approximately how many 3. 15-ounce bars should they sell per day across the country?.

Find the x-intercepts of the parabola withvertex (1,1) and y-intercept (0,-3).write your answer in this form: (x1,if necessary, round to the nearest hundredth.

The square root of 9x plus 7 plus the square rot of 2x equall to 7

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?