Acube rest inside a sphere so that each vertex touches the sphere the radius of the sphere is 6 cm . determine the volume of the cube

Given f(x) = 17-x^2what is the average rate of change in f(x) over the interval [1, 5]?

Which of the following values are in the range of the function graphed below? check all that apply ! - will give the answer "brainliest! "

(50 ) 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.