Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2, 1),A(−2,1),A, left parenthesis, minus, 2, comma, 1, right parenthesis, comma B(3, 1)B(3,1)B, left parenthesis, 3, comma, 1, right parenthesis, C(3, 4)C(3,4)C, left parenthesis, 3, comma, 4, right parenthesis, and D(-2, 4)D(−2,4)D, left parenthesis, minus, 2, comma, 4, right parenthesis.

What is 32+4 x (16 x 1/2) -2 show your work}

The step function g(x) is defined as shown.what is the range of g(x)? ***answer choices in picture.

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.