Answer:
\frac{dh}{dt}_{h=2cm} =\frac{40}{9\pi}\frac{cm}{2}
Explanation:
Hello,
The suitable differential equation for this case is:

As we're looking for the change in height with respect to the time, we need a relationship to achieve such as:

Of course,
.
Now, since the volume of a cone is
and the ratio
or
, the volume becomes:

We proceed to its differentiation:

Then, we compute 

Finally, at h=2:

Best regards.
A substance that cant be broken down by cheamical or physical means is an Element.
Hope this helps
The mass of sodium sulphate, Na₂SO₄, required to prepare the solution is 10.65 g
<h3>How to determine the mole of sodium sulphate Na₂SO₄</h3>
- Volume = 250 mL = 250 / 1000 = 0.25 L
- Molarity = 0.3 M
Mole = Molarity x Volume
Mole of Na₂SO₄ = 0.3 × 0.25
Mole of Na₂SO₄ = 0.075 mole
<h3>How to determine the mass of sodium sulphate Na₂SO₄</h3>
- Molar mass of Na₂SO₄ = 142.05 g/mol
- Mole of Na₂SO₄ = 0.075 mole
Mass = mole × molar mass
Mass of Na₂SO₄ = 0.075 × 142.05
Mass of Na₂SO₄ = 10.65 g
Thus, 10.65 g of Na₂SO₄ is needed to prepare the solution.
Learn more about molarity:
brainly.com/question/15370276
The individual can consume less than 184.6 g of the snack mix and still be within the FDA limit of salt consumption.
<h3>What is the mass of snack that can be consumed within the limit of sodium intake?</h3>
The mass of the snack mix that the individual can consume and still be within the FDA limit is calculated as follows:
U.S. Food and Drug Administration (FDA) recommends of sodium intake = less than 2.40 g of sodium per day.
Amount of salt in 100 g of snack mix = 1.30 g
Mass of snack that will contain 2.40 g of sodium = 2.40 * 100g/1.30 = 184.6 g of snack mix
Therefore, the individual can consume less than 184.6 of the snack mix and still be within the FDA limit of salt consumption.
In conclusion, the FDA recommends that an individual take in less than 2.40 g of sodium per day from their diet.
Learn more about salts at: brainly.com/question/23463868
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<h3><u>Answer;</u></h3>
CO3^2- and O3
<h3><u>Explanation;</u></h3>
- Ozone, O3 is a molecule composed of three oxygen atoms joined together. Two oxygen atoms joined together form the basic oxygen molecule O2.
- A polyatomic ion is a charged particle which has two or more atoms held together by covalent (sharing of pairs of electrons) bonds.
- Carbonate (CO3^2-) is an example of polyatomic ion. It can not be adequately described using Lewis structure.