The diameter of the ripple changes by the following equation =
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<u>Explanation:</u>
When a pebble or a rock is dropped in the water then the ripples or waves are formed which starts moving radially outward. As the time passes, the radius of the circle increases.
Let D be the diameter of the circle.
will be the rate of change of diameter of the circle with respect to time.
Let A be the area of the circle.
will be the rate of change of area of the circle with respect to time.
Area of the circle = 
So,
![\frac{dA}{dt} = \frac{d [\frac{\pi }{4} D^{2}] }{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%20%3D%20%5Cfrac%7Bd%20%5B%5Cfrac%7B%5Cpi%20%7D%7B4%7D%20%20D%5E%7B2%7D%5D%20%7D%7Bdt%7D)
![\frac{dA}{dt} = \frac{\pi }{4} \frac{d[ D(t)^{2}] }{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%20%3D%20%5Cfrac%7B%5Cpi%20%7D%7B4%7D%20%5Cfrac%7Bd%5B%20D%28t%29%5E%7B2%7D%5D%20%7D%7Bdt%7D)
<u>Using chain rule,</u>
![\frac{dA}{dt} = \frac{\pi }{4} X \frac{d[D(t)^{2} ]}{d[D(t)]} X \frac{d[D(t)]}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%20%3D%20%5Cfrac%7B%5Cpi%20%7D%7B4%7D%20%20X%20%20%5Cfrac%7Bd%5BD%28t%29%5E%7B2%7D%20%5D%7D%7Bd%5BD%28t%29%5D%7D%20%20%20X%20%20%5Cfrac%7Bd%5BD%28t%29%5D%7D%7Bdt%7D)



Thus, the following equation determines the change in area in terms of diameter with respect to time : 
Both of these answers make sense.
C. two hawk populations utilize the same scorpion population as their main food source
D. two fox populations utilize the same rabbit population as their main food source
Hope this helps!
I’m not exactly sure what you mean, but the diaphragm is a muscle that aids in the breathing process.
I’m pretty sure the answer is A or c
I hope this helps narrow down choices