Alfador produces gear for a racquetball league. it costs him $0.005 per square centimeter to produce racquetballs for the league. in the past, the league used racquetballs with diameter 4 cm, and he produced 30, 000 racquetballs. however, league regulations now require racquetballs to have diameter 4.05 cm. use differentials to estimate the increase in cost that alfador must suffer in order to produce 30, 000 racquetballs under its new regulations. should this be an overestimate or an underestimate? you may use the fact that the surface area of a ball satisfies s = πx2 , were x is the diameter of the ball.

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

Jessica and martha each have a bag of cookies with unequal quantities. they have 30 cookies total between the two of them. each of them ate 6 cookies from their bag. the product of the number of cookies left in each bag is not more than 80. how many more cookies will jessica have martha? if x represents the number of cookies jessica started with, complete the statements below.the inequality that describes the relationship between the number of cookies each one of them has is x^2 - x +224 > = 0.jessica has at least cookies more than martha.

Graph the equationy= x+3[tex]y = x + 3[/tex]