Answer:
The average rate of change of f(x) over the interval 1 ≤ x ≤ 4 is -1.
Step-by-step explanation:
We are given the function:
And we want to determine its average rate of change over the interval:
The average rate of change is synonymous with the slope. So, to find the average rate of change, we simply need to find the slope between the two endpoints.
Evaluate each endpoint:
So, our endpoints are (1, -1) and (4, -4).
The slope between them is:
So, the average rate of change of <em>f(x)</em> over the interval 1 ≤ <em>x</em> ≤ 4 is -1.
40 mi² is your answer
They are 4 equal rectangle.
Area rectangle = w * l
5 * 2 = 10 mi² (area 1 rectangle)
then you multiply by 4
10 * 4 = 40 mi²
or
5 * 2 * 4 = 40 mi²
Answer: x=90° y=43°
Step-by-step explanation: Right away you may be able to tell that x is a right triangle, which is 90°. Now, look at the two small lines cutting through some of the triangle. That means the sides are congruent, and that the bottom two angles are the same. So if angle C is 47°, then so is D. A triangle has 180° in total. So since we already have 47° and 90°, subtract 47 and 90 from 180 to get angle y.
Answer:
1.y = -5/3 = -1.667
2. y = -3/2 = -1.500
Step-by-step explanation:
90 + -1 = -91
-45 + -2 = -47
-30 + -3 = -33
-18 + -5 = -23
-15 + -6 = -21
-10 + -9 = -19
-9 + -10 = -19
-6 + -15 = -21
-5 + -18 = -23
-3 + -30 = -33
-2 + -45 = -47
-1 + -90 = -91
1 + 90 = 91
2 + 45 = 47
3 + 30 = 33
5 + 18 = 23
6 + 15 = 21
9 + 10 = 19
Answer:
#3) (4/3) pi r^3
(4/3) pi 4^3
(4/3) pi 64
volume = 21.333pi cm^3
#4) (4/3) pi r^3
(4/3) pi 14^3
(4/3) pi 2744
volume = 3658.666pi cm^3
Step-by-step explanation:
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