Two wires support a utility pole and form angles alpha and beta with the ground. Find the value of tan open parentheses alpha minus beta close parentheses if tan alpha equals negative 3 over 5 on open parentheses straight pi over 2 comma space straight pi close parentheses and tan beta equals negative 5 over 13 on open parentheses straight pi over 2 comma space straight pi close parentheses.

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.

What is the expression equivalent to (3x^2-7)

Ahyperbola centered at the origin has a vertex at (-6,0) and a focus at (10,0). what are the directrices?