Answer: The answer is 30 sq.ft/min and 25 sq.ft/min.
Step-by-step explanation: Given that there are two spray paint machines. The first machine (nicknamed "Paint Pro") is used for two hours and the second machine (nicknamed "Goldilocks") is used for an hour and a half. When they are working at the same time, they can paint 55 square feet per minute and together they painted 5850 square feet of wall.
Let 'x' and 'y' sq.ft/min be the portion of the wall painted by Paint Pro and Goldilocks respectively.
Then, according to the question, we have
Multiplying first equation by 4 and subtracting the second equation from it, we have
and
Thus, Paint Pro will paint 30 sq.feet per minute and Goldilocks will paint 25 sq.ft per minute.
The explicit formula of the sequence is given by a_n = -4n(n-1).
We have to find the first five terms of the sequence.
The first term:
The second term:
The third sum:
The fourth term:
The fifth term:
Thus, option D is correct.
