(1 point) You wish to pack a cardboard box inside a wooden crate. In order to have room for the packing materials, you need to leave a 0.5 \ \mbox{ft} space around the front, back, and sides of the box, and a 1 \ \mbox{ft} space around the top and bottom of the box. If the cardboard box is x feet long, (x 3) feet wide, and (x-1) feet deep, find a formula in terms of x for the amount of packing material, M, needed. M(x)

The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a mean of $235 and a standard deviation of $20. according to the standard deviation rule, how much did almost all (99.7%) of the students spend on textbooks in a semester?

Awater truck is filling a swimming pool. the equation that represents this relationship is y=19.75x where y is the number of gallons of water in the pool and x is the number of minutes the truck has been filling the pool.

Examine the paragraph proof. which theorem does it offer proof for? prove jnm – nmi according to the given information in the image. jk | hi while jnm and lnk are vertical angles. jnm and lnk are congruent by the vertical angles theorem. because lnk and nmi are corresponding angles, they are congruent according to the corresponding angles theorem. finally, jnm is congruent to nmi by the transitive property of equality alternate interior angles theorem gorresponding angle theorem vertical angle theorem o same side interior angles theorem