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Mathematics

1 answer:

andre [41]3 years ago

4 0

First we need to figures it how much centimeters is in the cylinder . The bottom is 20 centimeter meters and the side is 110 centimeters. Take out the zeros and do 11 x 2, that equals 22, then put the 2 zeros back in. So the cylinder has a mass of 2200 centimeters. We want to fill half of the cylinder, so divided 2200 by 2 and that is 1100 centimeters. And 1100 is the answer to this equation.

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How does recipe conversion factors work? For example, if I have a soup that is originally 24 servings and has 16 oz of fish, and

Neporo4naja [7]

You have to find the unit rate, which in this case means the amount of fish you need per serving of soup.

If 16 oz of fish makes 24 servings, then 16/24 oz = 2/3 oz makes 1 serving.

Now multiply both quantities by 10, so that 10 servings require 20/3 oz ≈ 6.67 oz of fish.

A more direct way to do this is to solve for <em>x</em> in the following equation:

(16 oz fish) / (24 servings) = (<em>x</em> oz fish) / (10 servings)

Then (omitting units)

<em>x</em> = 10 • 16 / 24 = 20/3

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3 years ago

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tatuchka [14]

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3 years ago

Use the given graph to determine the limit, if it exists. (4 points)

skelet666 [1.2K]

<h3>Answer: 3</h3>

Explanation:

Refer to the graph below. It should be similar to what your teacher gave you, based off the description.

Since we're approaching 3 from the right side, this means we'll be working with the horizontal line portion. We could start at something like x = 3.2 and move closer to 3 by getting to x = 3.1 then x = 3.01 then x = 3.001 and so on. We never actually get to 3 itself.

As x gets closer to 3 from this direction, the y values are approaching 3 since every point on this horizontal line has the same y coordinate. Technically the y value is already at 3, but it's the same idea.

In terms of notation, we can write $\displaystyle \lim_{x\to3^{+}}f(x) = 3$