Describe the possible echelon forms of the following matrix. A is a 4times3 matrix, A = [1 By 3 Matrix 1st Row 1st Column Bold a 1 2nd Column Bold a 2 3rd Column Bold a 3 EndMatrix ], such that {Bold a 1, Bold a 2} is linearly independent and Bold a 3 is not in Span{Bold a 1, Bold a 2}.

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b? 1. define a variable for the situation. 2. write an inequality that represents the situation. 3.solve the inequality to find out how many months he needs to keep the website for site a to be less expensive than site b. 4. using words, describe how many months he needs to keep the website for site a to be less expensive than site b.

The table represents a function. what is f(-2)? a.-3 b. -1 c.1 d.3

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).