Tyler applied the change of base formula to a logarithmic expression. The resulting expression is shown below. log one-fourth Over log 12

Which expression could be Tyler’s original expression?
Log Subscript one-fourth Baseline 12
Log Subscript 12 Baseline One-fourth
12 Log one-fourth
One-fourth log 12

Is the orthocenter of a triangle on the inside ?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Ateacher wanted to buy a chair, a bookshelf, two tables and a desk. she spent $900 for all five items and the chair and the desk combined 70% of her total. if the bookshelf cost $50, how much did each of the tables cost?