Last week, carlos had completed 5/8 of the world of math. this week, he worked hard earning energy points, and now he has completed 7/8 of the world of math. what fraction of the world of math did carlos complete this week?

What is the solution to the system of equations? (–2, –8) (–1, –5) (0, –2) (2, 4)

Two language majors, anna and megan, took exams in two languages. anna scored 85 on both exams. megan scored 74 on the first exam and 85 on the second exam. overall, student scores on the first exam had a mean of 82 and a standard deviation of 4, and the second exam scores had a mean of 71 and a standard deviation of 13. a) to qualify for language honors, a major must maintain at least an 85 average across all language courses taken. so far, which of anna and megan qualify? b) which student's overall performance was better?

Find the exact value of each of the following. in each case, show your work and explain the steps you take to find the value. (a) sin 17π/6 (b) tan 13π/4 (c) sec 11π/3