A student is watching a remote-controlled helicopter land atop a tree stump that is 9 m away. Using a motion sensor, the student calculates the helicopter is falling at a rate of 18 m/s when it is 5.2 m above the stump. At this moment, how fast is the angle of elevation changing relative to the student’s line of sight?

–1.50°/s

–1.73°/s

–1.98°/s

–2.00°/s
I know the answer is -1.50 degrees/s, but could someone help me understand why? I tried myself but I got 0.21 degrees/s.

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

What are the coordinates of the point that is 1/3 of the way from a to b? a (2,-3) b (2,6)

How is the equation of this circle written in standard form? x2 + y2 - 6x + 14y = 142 a) (x - 3)2 + (y + 7)2 = 200 b) (x+ 3)2 + (y - 7)2 = 200 (x - 6)2 + (y + 14)2 = 142 d) (x+6)2 + (y- 14)2 = 142