Ms. Patel and Mrs. Miles are starting a band. Ms. Patel wrote 8 fewer songs than twice the number of songs Mrs. Miles wrote. Together they wrote a total of 46 songs. Write and solve a system of equations for this situation. ENTER YOUR SOLUTION AS AN ORDERED PAIR WITH NO SPACES!!!

Which sum or difference identity would you use to verify that cos (180° - ∅) = -cos ∅? a. sin (α -β) = sin α cos β – cos α sin β b. cos (α -β) = cos α cos β – sin α sin β c. cos (α -β) = cos α cos β + sin α sin β d. sin (α + β) = sin α cos β + cos α sin β

Select the sequences that are geometric.

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. a vending machine will only accept coins weighing between 5.48 g and 5.82 g. what percentage of legal quarters will be rejected? round your answer to two decimal places.