The park ranger explained that the rangers spend some of their time removing invasive plant life, such as kudzu, from the park, because it is taking over and killing the native plant life. they removed 76 ponds of kudzu everyday for a week. the ranger told the students that 1/4 of the kudzu was removed by hand. write an equation that will find the amount of kudzu the rangers removed by hand that week.

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)

Two corresponding sides of two similar triangles are 3cm and 5cm. the area of the first triangle is 12cm2. what is the area of the second triangle?

In 2000 the average price of a football ticket was $48.28. during the next 4 years, the proce increased an average of 6% each year.a) write a model giving the average price (p), in dollars, of a ticket (t) in years after 2000.b) graph the model. estimate the year when the average ticket price was about $60