Identify an equation in point-slope form for the line perpendicular to y = 3x + 5 that passes through (4, –1). a. y-4=-1/3(x+1) b. y+1=3(x-4) c. y-1=-3(x+4) d. y+1=-1/3(x-4)

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 (%).

Afamily has five members. a mom, a dad, two sisters, & a brother. the family lines up single file. what is the probabillity that the mom is at the front of the line

Ebert used to make $22 an hour, but got a 10% raise. how much more will he make in a 40 hour work week with raise?