In a cylinder
height,h=40inches
diameter,d=16inches
radius,r=16/2
=8inches
so, by formula,
volume,v= πr^2h
=22/7*8*8*40
=8045.71 cubic inches
Both climbers rested on the wall at a constant height for 2 minutes.
<h3>How to determine the true statement?</h3>
The illustrative graph that represents the climbers' movement is added as an attachment
From the attached graph, we have the following observation
- The line of Abby's movement is horizontal from x = 4 to x = 6
- The line of Brynn's movement is horizontal from x = 5 to x = 7
The difference between the endpoints of both horizontal line is
Difference = 6- 4 = 2
Difference = 7 - 5 = 2
This means that both Brynn and Abby stopped for 2 minutes
Hence, the true statement about is that (d) Both climbers rested on the wall at a constant height for 2 minutes.
Read more about graphs at:
brainly.com/question/4025726
#SPJ1
Answer:
<u>A</u>
Step-by-step explanation:
Since it mentions g(x) is f(x) + 2, it means the y-intercept of g(x) is 2 more than that of f(x).
This basically means that :
<u><em>The graph of g(x) is shifted 2 units up.</em></u>
Sentence 2: left I don't know if that quailifys as a answer...
Split up the interval [1, 9] into <em>n</em> subintervals of equal length (9 - 1)/<em>n</em> = 8/<em>n</em> :
[1, 1 + 8/<em>n</em>], [1 + 8/<em>n</em>, 1 + 16/<em>n</em>], [1 + 16/<em>n</em>, 1 + 24/<em>n</em>], …, [1 + 8 (<em>n</em> - 1)/<em>n</em>, 9]
It should be clear that the left endpoint of each subinterval make up an arithmetic sequence, so that the <em>i</em>-th subinterval has left endpoint
1 + 8/<em>n</em> (<em>i</em> - 1)
Then we approximate the definite integral by the sum of the areas of <em>n</em> rectangles with length 8/<em>n</em> and height
:

Take the limit as <em>n</em> approaches infinity and the approximation becomes exact. So we have
