The first thing I did was follow all the instructions using MS Excel as a tools. First I plot the two points (3,2) and (7,12). Then, I scaled the x-axis from 0 to 9 with increments of 1, and 0 to 18 for the y-axis with increments of 2. Finally, I extended the line by connecting the two dots and extending both sides. The result is shown in the picture.
So, from the scale of the axes alone, the domain of the function is the coverage of all its x-values. If the line has coordinates on that x-value, it is part of the domain. Basing on the picture the domain is 2.2≤x≤9. So, the lower limit must not be lower than 2, and the upper limit must not be greater than 9. Among the choices, the accepted values that are still part of the domain is <span>
3 ≤ x ≤ 7.</span>
Hm. Have you ever dispensed water from a hose unto a cone? I know I haven’t, but math can give us a good idea of what it would be like — or at least, how long it would take.
We are told that the hose spills 1413 cm^3 of water every minute. We are also told the cone has a height of 150 cm and a radius of 60 cm. So far, so good.
First things first, we need to find out how much water can fit in the cone. That means volume. The volume of a cone is
π • r^2 • (h/3)
Let’s go ahead and plug in (remember we use 3.14 for π)
(3.14) • (60)^2 • (150/3)
The volume of the cone is 565,200 cm^3
Wait, I’m lost. What were we supposed to do again? Oh, right. We needed to find how long it would take for the hose to fill in the cone. Well, if we know the hose dispenses 1413 cm^3 per minute, and there is a total of 565,200 cm^3 the cone can take, we can divide the volume of the cone by the amount the hose dispenses per minute to get the number of minutes it’d take to fill it.
565200/1413
400 minutes. Wow, ok. I wouldn’t want to wait that long. That’s like watching 3 movies!
Answer:
N * 2
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