Some studies find that the yearly growth rate of a certain wildflower can be modeled by the equation Y=1000(1.08)^x. Use the properties of exponents to show an equivalent equation that represents the monthly growth of the wildflowers. Find the values of a, b, c, and d. Round to the nearest thousandth as needed.
y=1,000(1.08)x

=1,000((1.08)1/a)^bx
a=
b=
=1,000(c)^dx
c=
d=

Driving 75 mph, it takes alicia 2 hours to reach the airport to go on a vacation. it then takes her 4 hours to get to her destination with the jet traveling at a speed of 400 mph. how many miles does alicia travel to get to her destination?

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)

What is the distance from (–3, 1) to (–1, 5)? round your answer to the nearest hundredth. (4 points) a. 3.60 b. 4.12 c. 4.47 d. 5.66