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Angelina_Jolie [31]
2 years ago
8

The density of glass in a bottle is 2.4gcm^3. The volume of glass used to make the bottle is 13.4cm^3. Calculate the mass of the

glass bottle. ​
Mathematics
2 answers:
ser-zykov [4K]2 years ago
7 0

Answer:

Density is g/cm^3, not gcm^3

Mass = 32.16 grams [32.2 grams for 3 sig figs)

Step-by-step explanation:

Density = Mass/Volume

Density = 2.4g/cm^3

Volume = 13.4cm^3

---

2.4g/cm^3 = Mass/13.4cm^3

Mass = (2.4g/cm^3)*(13.4cm^3)

Mass = 32.16 grams [32.2 grams for 3 sig figs)

Alecsey [184]2 years ago
6 0

Step-by-step explanation:

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We need to add a term that is the the square of half the coefficient of the second term.

n^2 - n/3 = 7\\n^2 - \frac{1}{3}n = 7\\n^2 - \frac{1}{3}n + \frac{1}{36} = 7\frac{1}{36}\\(n - \frac{1}{6})^2 = 7\frac{1}{36}

Let's check the answer by expanding:

(n - \frac{1}{6})^2 = 7\frac{1}{36}\\n^2 - \frac{1}{6}n - \frac{1}{6}n + \frac{1}{36} = 7\frac{1}{36}\\n^2 - \frac{1}{3}n + \frac{1}{36} = 7\frac{1}{36}\\n^2 - \frac{1}{3}n = 7

Which verifies the answer.

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