What is the nth term rule of the quadratic sequence below? −
5
,
−
4
,
−
1
,
4
,
11
,
20
,
31
,
.
.
.

Rectangle abcd is translated to get rectangle a’b’c’d’. rectangle abcd moves units along the x-axis to get rectangle a’b’c’d’. rectangle abcd moves units along the y-axis to get rectangle a’b’c’d’. the algebraic rule that describes this translation is t(x, y), where x = and y = .

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

Find the quotient with the restriction.