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3 years ago

How much does 8.20 X 10-3dm3 (1dm3 = 1L) sample of aluminum weigh in grams? centimeters?

Mathematics

1 answer:

m_a_m_a [10]3 years ago

7 0

Answer:

8.20 grams ; 8.20 cm³

Step-by-step explanation:

At first convert it to m³ from dm³

we know,

1 dm³ =10⁻³ m³

∴ 8.20 X 10⁻³dm3 = 8.20 X 10⁻³ x 10⁻³ m³

=8.20 X 10⁻⁶ m³

m³ to gram :

1 m³ = 10⁶ grams

∴ 8.20 X 10⁻⁶ m³ = (8.20 X 10⁻⁶x10⁶) grams

= 8.20 grams

m³ to cm³ :

1m³ = 10⁶ cm³

∴8.20 X 10⁻⁶ m³ = (8.20 X 10⁻⁶ x 10⁶) cm³

=8.20 cm³

Note:

1 cm³ = 1 gram

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Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0

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On comparing Equation (1) and Equation(2), we get

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In $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ , $b^2 - 4ac$ is called the discriminant of the quadratic equation

Its value determines the nature of roots

Now, here are the rules with discriminants:

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3) D < 0; there are no real solutions in the equation

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$D= b^2 - 4ac\\\\D = 5^2 - 4(1)(7)\\\\D = 25 - 28 \\\\D = -3$

Since -3 is less than 0, this means that there are 0 real solutions in this equation.

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