The average rate of change for this is the slope of the secant line that connects those 2 points (3, y) and (15, y). What we need for the slope formula of change in y over change in x are the y values which are unknown as of right now. We can find them though! Don't worry! The equation is y = .01(2)^x. Using that equation, let's sub in both the 3 and the 15 and find the corresponding y values. Subbing in first a 3 gives you y = .01(2)^3, and y = .08. Subbing in a 15 gives you y = .01(2)^15 and y = 327.68. Now we have the coordinates we need to find the slope of the secant line connecting those 2 points: (3, .08) and (15, 327.6). Fitting those into the slope formula gives us (327.68-.08)/(15-3). Simplifying that is 327.6/12 which divides out to 27.3
Answer:
The correct answer is option B.
Step-by-step explanation:
Two point form of the equation:
A line passing through the point (-1,6) with slope ,m = -3.
The equation of the line will be: y-6= (-3)(x-(1))=(-3)(+1)
Answer:
15/2
Step-by-step explanation:
Answer:
-42
Step-by-step explanation:
The objective is to find the line integral of 
around the perimeter of the rectangle with corners (4,0), (4,3), (−3,3), (−3,0), traversed in that order.
We will use <em>the Green's Theorem </em>to evaluate this integral. The rectangle is presented below.
We have that
Therefore,
Let's calculate the needed partial derivatives.
Thus,
Now, by the Green's theorem, we have
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<em>-</em><em> </em><em>BRAINLIEST</em><em> answerer</em>
