Solve the problem.The repeating decimal 0.27272727. . . can be expressed as infinite geometric series 0.27 + 0.27
+ 0.27
2 + 0.27
3 + . . . .By finding the sum of the series, determine the rational number whose decimal expansion is 
A.
B.
C.
D.
Answer: C
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The following data show the diameter D and the height H, both in feet, of certain mature trees. Tree Cottonwood Hackberry Weeping willow Ponderosa pine Douglas fir D 2.4 5.06 6.07 8.06 14.08 H 80.87 113.1 95.05 164.81 223.23? A: Use power regression to model the height as a function of the diameter. Use two digits of accuracy for the coefficient and for the power.B: According to the model, what is the diameter of a mature tree that is 7.89 feet tall? Round your answer to two decimal places.C: If one mature tree has 4 times the diameter of another, how do their heights compare? Round your answer to two decimal places.
What will be an ideal response?
Decide whether the statement is true or false.All squares are rectangles, but not all rectangles are squares.
A. True B. False
The scores on a 30-point multiple-choice exam are given in the following frequency table:What is the mode of the scores on the exam?
A. 26 and 30 B. 24, 28, and 29 C. 26 D. 23
Simplify. Write your answers in the form of a+bi, where a and b are real numbers.(3 + 2i)(3 - 7i)
A. 23 - 15i B. -5 + 27i C. 23 + 15i D. -14i2 - 15i + 9