The velocity of a particle moving along the x-axis is v(t) = cos(2t), with t measured in minutes and v(t) measured in feet per minute. To the nearest foot find the total distance travelled by the particle from t = 0 to t = π minutes.

Sheri likes to study in the school library, but it is usually full of chatting students. it's a great place to study because her friends can always drop by when they want to talk to her. sheri should seek a new study space with a. more light c. less distractions b. less people d. more access to a restroom select the best answer from the choices provided a b c d

Arecent strip mall land development project included large amounts of paved surfaces. as a result of this project, groundwater levels in the developed area will most likely a. increase due to sealed artesian wells b. decrease as aquifers are not recharged c. decrease due to decreased surface runoff d. increase due to loss of unconfined aquifers e. increase due to a decrease in demand for fresh water

The following table lists the birth rate, death rate, and net migration rate for egypt over the past 20 years. on a coordinate plane, plot the birth rate data and death rate data for egypt. clearly, show each data point and label each curve. be sure to label the graph and axes. save a copy of your graph. then answer the following questions: (14 points) a. what was the annual growth rate for egypt in 1990? what is the estimated annual growth rate in 2010? be sure to show your work for each answer. b. where does egypt most likely fall on the demographic transition model? explain your answer using data from the table. describe two changes within egyptian society that would likely be necessary for egypt to transition to the next stage in the model. c. assuming egypt’s current birth rate, death rate, and net migration rate trends continue, what will the country’s annual growth rate likely be in 2030? if this growth rate is accurate, what would its doubling time be in 2030?