Identify the transformation that carries the figure onto itself.

a) rotate 90° clockwise about (8, −6) and reflect across the line y = 6

b) rotate 270° clockwise about (8, −6) and reflect across the line x = 8

c) rotate 270° clockwise about (8, −6) and reflect across the line y = 6

d) rotate 360° clockwise about (8, −6) and reflect across the line x = 8

If 10 men take 18 days to mow 60 acres of grass, how long will 15 men take to mow 80 acres?

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.

1. what expression would be the same as 6x+x+0 2. find the prime factorization of 60 3. write the expression for 6 + x in words.