Explain the convergence or divergence of each series: A. sum from n equals 1 to infinity of fraction numerator (negative 1 )to the power of n plus 1 end exponent over denominator n cubed end fraction

In the 30-60-90 triangle below side s has a length of and side r has a length

What is the area of the original rectangle? 8 cm² 20 cm² 25 cm² 40 cm²

Mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.