<span>The answer is: 30 ft³ ; or, write as: 30 cubic feet .
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Explanation:
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Given:
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Density = 0.4 fish(es) per cubic foot (or, feet);
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or, "Density = 0.4 fish / ft³ ;
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And, given: "12 fish in the tank." ;
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And Density = (value; in this case, "number of fish" / unit volume);
We are given: Density, "D" = 0.4 fish / 1 ft³
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In our case, our volume is in "cubic ft." ; or, "ft³ ;
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We want to find the actual volume of the tank (in "cubic feet"; or, " ft³ ");
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→ (1 ft³ / 0.4 fish) * 12 fish = _____? ft³ ?
→ On the "left-hand side" of the equation; the units of "fish" cancel out to "1"; and we are left with units of "ft³ " ; which is the units for which we wish to solve.
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→ So, so have (1 ft³ * 12) / (0.4) = 12 ft³ / 0.4 = 30 ft³ .
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<span> → The answer is: 30 ft³ ; or, write as: 30 cubic feet .</span>
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Answer:
Explanation:
Most of this water is locked up in ice, and another 20.9% is found in lakes. Rivers make up 0.49% of surface freshwater. Although rivers account for only a small amount of freshwater, this is where humans get a large portion of their water from.
This question involves the concepts of density, volume, and mass.
The approximate diameter of a magnesium atom is "3.55 x 10⁻¹⁰ m".
<h3>STEP 1 (FINDING MASS OF INDIVIDUAL ATOM)</h3>
It is given that:
Mass of one mole = 24 grams
Mass of 6 x 10²³ atoms = 24 grams
Mass of 1 atom =
= 4 x 10⁻²³ grams
<h3>STEP 2 (FINDING VOLUME OF A SINGLE ATOM)</h3>
![\rho = \frac{m}{V}\\\\V=\frac{m}{\rho}](https://tex.z-dn.net/?f=%5Crho%20%3D%20%5Cfrac%7Bm%7D%7BV%7D%5C%5C%5C%5CV%3D%5Cfrac%7Bm%7D%7B%5Crho%7D)
where,
= density = 1.7 grams/cm³- m = mass of single atom = 4 x 10⁻²³ grams
- V = volume of single atom = ?
Therefore,
![V=\frac{4\ x\ 10^{-23}\ grams}{1.7\ grams/cm^3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%5C%20x%5C%2010%5E%7B-23%7D%5C%20grams%7D%7B1.7%5C%20grams%2Fcm%5E3%7D)
V = 2.35 x 10⁻²³ cm³
<h3>STEP 3 (FINDING DIAMETER OF ATOM)</h3>
The atom is in a spherical shape. Hence, its Volume can be given as follows:
![V =\frac{\pi d^3}{6}\\\\d=\sqrt[3]{ \frac{6V}{\pi}}\\\\d=\sqrt[3]{ \frac{6(2.35\ x\ 10^{-23}\ cm^3)}{\pi}}](https://tex.z-dn.net/?f=V%20%3D%5Cfrac%7B%5Cpi%20d%5E3%7D%7B6%7D%5C%5C%5C%5Cd%3D%5Csqrt%5B3%5D%7B%20%5Cfrac%7B6V%7D%7B%5Cpi%7D%7D%5C%5C%5C%5Cd%3D%5Csqrt%5B3%5D%7B%20%5Cfrac%7B6%282.35%5C%20x%5C%2010%5E%7B-23%7D%5C%20cm%5E3%29%7D%7B%5Cpi%7D%7D)
d = 0.355 x 10⁻⁷ cm = 3.55 x 10⁻¹⁰ m
Learn more about density here:
brainly.com/question/952755
Your answer would be : Leyden jar.
Answer:
= -32.53 m / s
this velocity is directed downwards
Explanation:
This is a free fall exercise, let's use the expression
= v_{oy}^{2} + 2 g (y -yo)
where we are assuming that there is friction with the air, as the body falls its initial velocity is zero
v_{oy} = √ 2g (y - y₀)
let's calculate
v_{y} = √ (2 9.8 (0-54.0))
= -32.53 m / s
this velocity is directed downwards