For the answer to the question above, I'll show my solution for the answer below.
Area A = pi r^2
<span>The rate of change of area = d A/ d t = 2 pi r d r/d t </span>
<span>r= 2t, d r = 2 d t </span>
<span>This gives </span>
<span>d A/ d t = 2 pi 2t 2 d t = 8 pi t dt </span>
<span>Integrate it </span>
<span>A= 4 pi t^2. </span>
<span>After t=5, the area will be 100* 3.14 square= 314 square units.</span>
The answer is 29/34 your answer
Answer:
Continuous
Step-by-step explanation:
The rate of flow of water down the river is referred to as its speed. Thus the speed changes with respect to the distance covered. Which implies that there is a direct relationship between the distance covered (in miles) by the water flow and time taken (in hours).
The relationship between hours and miles the water traveled is continuous.
<h3>
Answer: f(x) = (-1/2)x+1, choice B</h3>
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Explanation:
The diagonal line passes through 1 on the vertical y axis. So the y intercept is b = 1. This means the location of the y intercept is (0,1).
Start at (0,1) and move down 1 and to the right 2 to arrive at (2,0). This is another point on the diagonal line. The motion of "down 1 and right 2" is effectively the slope
slope = rise/run = -1/2
rise = -1, run = 2
The rise being negative means we have gone downhill as we move to the right.
With m = -1/2 as the slope and b = 1 as the y intercept, we go from y = mx+b to y = (-1/2)x+1
The last thing to do is replace y with f(x) to get f(x) = (-1/2)x+1 as the final answer.
Answer: 7 gallons decrease per minute
Step-by-step explanation:
56 gallons / 8 minutes = 7 gallons per minute
to make sure do it backwards: 7 gallons x 8 minutes = 56 gallons :)
