Provide an appropriate response.An open box is formed by cutting a square piece out of each corner of a 8-inch by 12-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.Imagine a force field in which the force is always perpendicular to dr. What is special about the work done in moving a particle in such a field?
What will be an ideal response?
Write the slope-intercept form of the equation for the line passing through the given pair of points.(-8, 7) and (-4, 0)
A. y = - 
x - 7
B. y = 
x - 7
C. y = 
x + 15
D. y = - 
x + 15
Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers with 
and 
.
loga(p2q8) - 
loga(p5q2)
A. loga 
B. loga(p4q7)
C. loga 
D. loga 
Provide an appropriate response.Suppose that Jody drove 80 miles in 2 hours. Dividing 80 by 2 tells us how many miles Jody drove in each hour. The units for this rate are miles per hour (mi/hr). If we divide 2 by 80 what information would this give us? Give an interpretation of the rate 
= 0.025. What units would be used for this rate?
What will be an ideal response?