Solve the problem.The population (in hundred thousands) for the Colonial United States in ten-year increments for the years 1700-1780 is given in the table. (Source: 1998 Information Please Almanac)
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State whether the data can be more accurately modeled using an exponential function or a logarithmic function. Using a graphing utility, find a model for population (in hundred
thousands) as a function of decades since 1700.
What will be an ideal response?
exponential; y = 252.68 ? 1.36x
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Calculate the arc length of the indicated portion of the curve r(t).r(t) = (8cos3 9t)j + (8sin3 9t)k; 
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A. 0 B. 12 C. 24 D. 4
Match the given graph with its equation.
A. 16x2 + 9y2 = 144 B. 9x2 - 16y2 = 144 C. 16x2 - 9y2 = 144 D. 9x2 + 16y2 = 144
Solve the problem.The distribution of B.A. degrees conferred by a local college is listed below, by major.MajorFrequencyEnglish2073Mathematics2164Chemistry318Physics856Liberal Arts1358Business1676Engineering 8689313What is the probability that a randomly selected degree is not in Mathematics? Round to the nearest thousandth.
A. 0.303 B. 0.768 C. 0.232 D. 0.682
Factor the expression completely. If the polynomial is prime, state this as your answer.w8 - 16z4
A. (w2 + 4z)(w2 - 4z)(w2 + 2z)(w2 - 2z) B. (w4 + 4z2)(w4 - 4z2) C. (w4 + 4z2)(w2 + 2z)(w2 - 2z) D. (w4 + 4z2)(w2 + 2z)(w - 2z)(w + 2z)