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Taking into account the definition of density, the mass of a substance with a volume of 150 cm³ and a density of 1.5 is 225 grams.
Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space.
In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.
Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
From this expression it can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.
<h3>Mass of the substance in this case</h3>In this case, you know that:
- Density= 1.5
- Volume= 150 cm³
Replacing in the definition of density:
Solving:
mass= 1.5 ×150 cm³
<u><em>mass= 225 g</em></u>
In summary, the mass of a substance with a volume of 150 cm³ and a density of 1.5 is 225 grams.
Learn more about density:
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Answer: 2
Justitification:
1) Property:
![a^{(1/b)} = \sqrt[b]{a}](https://tex.z-dn.net/?f=a%5E%7B%281%2Fb%29%7D%20%3D%20%20%5Csqrt%5Bb%5D%7Ba%7D%20)
Therefore:
![16^{1/4}= \sqrt[4]{16}](https://tex.z-dn.net/?f=16%5E%7B1%2F4%7D%3D%20%20%5Csqrt%5B4%5D%7B16%7D%20)
2) 16 = 2⁴
3) Property
![\sqrt[n]{a^n} =a^{n/n}=a](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7Ba%5En%7D%20%3Da%5E%7Bn%2Fn%7D%3Da)
Therefore:
![\sqrt[4]{2^4} =2^{4/4}=2](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B2%5E4%7D%20%3D2%5E%7B4%2F4%7D%3D2)
Justitification:
1) Property:
Therefore:
2) 16 = 2⁴
3) Property
Therefore: