The location of the obstacle course, Transformation Fitness Studios, often gets crowded. Therefore, the company opened a second location, Reflections of You, on the other side of town. The obstacle course at Reflections of You is the same as the one at Transformation Fitness Studios, except it is a horizontal reflection. This means all the checkpoints have been reflected in the y-axis. Using the checkpoints at Transformation Fitness Studios, A(0,5), B(−9,5), and C(−4,5), find the coordinate locations of their respective checkpoints, A′, B′, and C′, at the Reflections of You obstacle course.

A′(0,5), B′(−9,5), C′(−4,5)
A′(0,−5), B′(−9,−5), C′(−4,−5)
A′(0,5), B′(9,5), C′(−4,5)
A′(0,5), B′(9,5), C′(4,5)

Acylinder has volume 45π and radius 3. what is it’s height?

How is the number of vertices for a prism related to the name of the prism

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )