Find the nth term of the geometric sequence.4, 2, 1, 
, 
A. an = 4 ? 
n
B. an = 4 ? 
n-1
C. an = 4 ? 
n-1
D. an = 4 ? 
n + 1
Answer: B
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An open box is to be constructed from a piece of cardboard 24 cm by 35 cm by cutting squares of side length x from each corner and folding up the sides, as shown in the figure.
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(a) Express the volume V of the box as a function of x.
?
__________
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(b) What is the domain of V? (Use the fact that length and volume must be positive.)
?
__________ 
__________
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(c) Draw a graph of the function V and use it to estimate the maximum volume for such a box. Please round the answer to the nearest whole number.
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__________ cm3
What will be an ideal response?
Provide an appropriate response.The length of a screw is 4.275 in. Represent this length as a mixed number.
A. 
B. 
C. 
D. 
The volume of a right circular cone of radius r and height h is 
Suppose that the radius and height of the cone are changing with respect to time t.
a. Find a relationship between 
b. At a certain instant of time, the radius and height of the cone are 12 in. and 13 in. and are increasing at the rate of 0.2 in./sec and 0.5 in./sec, respectively. How fast is the volume of the cone increasing?
Find the expected value for the random variable x having this probability function.
A. 15.6 B. 15.9 C. 20 D. 19.5