The density of a substance can be determined
by finding the unit rate that compares mass to
volume. A nugget of gold has a mass of
463.2 grams and a volume of 24.0 milliliters.
What is the density of gold?

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)

Given the quadratic function f(x)=3x^2-24x+49 a. use “completing the squares” to convert the quadratic function into vertex form b. state the vertex c. find the x and y intercepts d. graph the function

Jon’s weight loss for each week of the month is 5 lbs., 2.5 lbs., and 2.5 lbs. he gained 3.5 lbs. the last week. if jon originally weighed 198 lbs., how much does he weigh now?