Consider this sequence
1(8-7), 2(10-8), 3(12-9), 4(14-10), .
(i) write down the next term and the 10th term of this sequence in the form a(b-c) where a, b and c are integers.
(ii) write down the nth term in the form a(b-c) and then simplify your answer.

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.

Let hh represent the number of hummingbirds and ss represent the number of sunbirds that must pollinate the colony so it can survive until next year. 6h+4s > 746h+4s> 74 this year, 88 hummingbirds pollinated the colony. what is the least number of sunbirds that must pollinate the colony to ensure that it will survive until next year?

The midpoints of the sides of the large square are joined to form a smaller square. what is the area of the smaller square