Provide an appropriate response.The total number of reported cases of AIDS in the United States has risen from 372 in 1981 to 100,000 in 1989 and 200,000 in 1992. Does a linear equation fit this data? Explain.
What will be an ideal response?
No, the data cannot be modeled by a linear equation because the reported cases are not increasing at a constant rate. Assume a linear equation, and examine the slope of the two line segments. The slope of the segment from (0, 372) to (8, 100,000) is 12,453.5 while the slope of the segment from to
is 33,333.
.(Explanations will vary.)
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Write the number in scientific notation.2,800,000
A. 2.8 × 10-6 B. 2.8 × 105 C. 2.8 × 10-5 D. 2.8 × 106
Write the answer to the problem as an algebraic expression.A theater ticket for adults is a dollars and the price of a child's ticket is c dollars. If 30 adults and 21 children attend the theater one night, how much money did the theater make?
A. 630ac dollars B. 21a + 30c dollars C. 30a + 21c dollars D. 30c + ca dollars
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log3(3x)
A. 1 B. 1 + log3x C. 3 D. x
Use DeMoivre's Theorem to find the following. Write your answer in standard form.
?
?
?
A. ?64
B. ?-16 + 16?i
C. ?-8111i?1
D. ?-16+ 16?i?1
E. ?-8 - 8i?