9514 1404 393
Answer:
180 days
Step-by-step explanation:
The formulas for the volume of a cone and a cylinder are ...
V = πr²h . . . . . volume of a cone
V = (1/3)πr²h . . . . . volume of a cylinder
Comparing these formulas, you can see that the 6' high cone at the top will have the same volume as a cylinder of the same radius that is 2' high. So, we can simplify the problem to finding the volume of a cylinder that is 66+2 = 68' high.
V = π(12 ft)²(68 ft) = 9792π ft³ ≈ 30752.5 ft³
When the corn is used at the rate of 170 ft³/day, it will last ...
(30752.5 ft³)/(170 ft³/day) ≈ 180.96 days
The corn will last 180 days.
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<em>Additional comment</em>
In scenarios like this, it is inappropriate to round up. There will be about 162 ft³ of corn left after 180 days, which is not enough for an additional day.
Dividing fractions is the same as multiplying by its reciprocal so you can change the equation to this
And you can simplify by eliminating the fours and multiplying straight across
You can pull out - 7 from the top and 2 from the bottom so you have this
And then you can cancel out to (2-x) to get an answer of
Answer:
I believe I am correct.
1: slope
2: linear equation
3: y-intercept
4: slope-intercept form
5: y-intercept is (0,6) the slope is -2
6: y-intercept is (0,3.4) the slope is 10/6
7: y-intercept is (0,4) the slope is -4/16
Hope this works for you Jack Jiang.
This is a great question, but it's also a very broad one. Please find and post one or two actual rational expressions, so we can get started on specifics of how to find vertical and horiz. asymptotes.
In the case of vert. asy.: Set the denom. = to 0 and solve for x. Any real x values that result indicate the location(s) of vertical asymptotes.
Answer:
The sides get smaller
Step-by-step explanation:
Because anything times 1 gets smaller and it's no different for scale factor
