Factor completely.x4 - 81
A. (x2 + 9)(x + 3)(x - 3)
B. Prime
C. (x + 3)2(x - 3)2
D. (x2 - 9)(x + 3)(x - 3)
Answer: A
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As a certain animal grows, its length increases toward a maximum of 17 inches. At age t years its length is 
measured in inches. The difference 
between the maximum length and the current length is shown in the table below.
t 0 1 2 3 D 12.00 10.68 9.51 8.46? A: Make a table of successive ratios to show that D can be modeled by an exponential function of time. Round your answer to two decimal places.B: Find an exponential model for the data. Round your answer to two decimal places.C: Plot the graph of the data points along with the exponential model. Include up to 10 years.D: Find a formula that gives the length L after t years. Round your answer to two decimal places. What will be an ideal response?
Solve the problem.The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. If 
in.3 when 
and 
what is the volume when 
and 
(Round to the nearest tenth.)
A. 207.5 in3 B. 177.5 in3 C. 217.5 in3 D. 227.5 in3
Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.B = 53.2°C = 100.6°b = 31.5
A. A = 24.2°, a = 40.7, c = 19.4 B. A = 26.2°, a = 17.4, c = 38.7 C. A = 26.2°, a = 19.4, c = 40.7 D. A = 24.2°, a = 38.7, c = 17.4
Solve the problem.How many ways can a president, vice-president, and secretary be chosen from a club with 12 members?
A. 6 B. 220 C. 36 D. 1320