Suppose you work at a shipping company, and it's your job to fill a large rectangular box with as many small rectangular boxes as possible. The large box measures one foot by two feet by three feet, while each of the small boxes measures four inches by five inches by six inches. What's the maximum number of boxes you can fit inside? Here are some things you have to take into consideration to solve this: - The boxes cannot change shape at all – they must have the dimensions given above.
- It's okay if the small boxes move around a bit inside the large box.
- Don't worry about how much space the boxes' material takes up – we're assuming here
it's too small to matter.
So can you figure out the maximum number? Try this over the weekend, and turn it in by Monday. Be sure to show all your work, and good luck!

2. (09.01 lc) a function is shown in the table. x g(x) −3 17 −1 −3 0 −4 2 13 which of the following is a true statement for this function? (5 points) the function is increasing from x = −3 to x = −1. the function is increasing from x = −1 to x = 0. the function is decreasing from x = 0 to x = 2. the function is decreasing from x = −3 to x = −1.

Jahdzia wears her winter coat when the temperature is colder than -4 degrees celsius. write an inequality that is true only for temperatures (t) at which jahdzia wears her winter coat.

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)