Provide an appropriate response.An open box is formed by cutting a square piece out of each corner of a 8-inch by 8-inch piece of metal. If each side of the squares cut out is x inches long, the volume of the box is given by 
This problem only makes sense when this volume is positive. Find the values of x for which the volume is positive.
Fill in the blank(s) with the appropriate word(s).
0 < x < 4
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Solve the problem.You are sitting in a classroom next to the wall looking at the blackboard at the front of the room. The blackboard is 13 ft long and starts 3 ft from the wall you are sitting next to. Show that your viewing angle is ? = cot-1 
- cot-1 
.
What will be an ideal response?
Express the radical in simplified form. Assume that all variables represent positive real numbers.
A. 3k18 B. 3k5 C. 27k5 D. -3k5
Simplify each side of the equation and then solve. Check your solution.9x + x = 75 - 5
A. -7 B. -10 C. 10 D. 7
Find the probability.Suppose we select, without looking, one marble from a bag containing 8 red marbles, 3 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue?
A. 0
B. 9
C. 
D. 