There are 975 birds in an aviary. each month, the number of birds decreases by 7%. there are 350 trees in the aviary. each month, 7 trees are removed. part a: write functions to represent the number of birds and the number of trees in the aviary throughout the months. (4 points) part b: how many birds are in the aviary after 12 months? how many trees are in the aviary after the same number of months? (2 points) part c: after approximately how many months is the number of birds and the number of trees the same? justify your answer mathematically. (4 points)

At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. the cyclic nature of wind and moving sand determines the shape and location of large dunes. at a test site, the prevailing direction of the wind did not change noticeably. however, the velocity did change. fifty-nine wind speed readings gave an average velocity of x = 1075 cm/sec. based on long-term experience, σ can be assumed to be 245 cm/sec. (a) find a 95% confidence interval for the population mean wind speed at this site. (round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec