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3 years ago

1. Calculate the density of a substance with a mass of 5.788 g in a volume of 4.22 mL

Mathematics

1 answer:

Alenkinab [10]3 years ago

8 0

Answer:

1.37g/ml

Step-by-step explanation:

What is density?

Density (ρ) is simply the mass (m) per given volume (V) of a substance

The formula is therefore:

ρ = m/V

Just as speed is distance covered per a given period of time;

We have a mass and we have a volume, all we need to do is plug into the formula:

ρ = 5.788/(4.22)

ρ = 1.37156398104 → 1.37 (rounded to 3 significant figures)

Finding the units is easy, the mass is in g and the volume is in ml and the mass is divided by volume so the units are: g/ml

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Answer:

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Step-by-step explanation:

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sashaice [31]

Answer:

4x + 6

Step-by-step explanation:

$\frac{x}{x² + 3x + 2} + \frac{3}{x + 1}$

To determine what the numerator would be, after simplifying both fractions, take the following steps:

Step 1: Factorise the denominator of the first fraction, x² + 3x + 2.

Thus,

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We would now have the following as our new fractions to add together and simplify:

$\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}$

Step 2: find the highest common factor of the denominator of both fractions.

Highest common factor of (x + 1)(x + 2) and (x + 1) = (x + 1)(x + 2)

Step 3: To add both fractions, divide the highest common factor gotten in step 2 by each denominator, and then multiply the result by the numerator of each fraction.

Thus,

$\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}$

$\frac{x + 3(x + 2)}{(x + 1)(x + 2)}$

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3 years ago

What are the solutions to the system of equations? y=x2−7x+12y=−x+7

kap26 [50]

Answer:

x = 1, y = 6

x = 5, y = 2.

Step-by-step explanation:

y=x2−7x+12

y=−x+7

Substitute for y in the first equation:

- x + 7 = x^2 - 7x + 12

x^2 - 7x + x + 12 - 7 = 0

x^2 - 6x + 5 = 0

(x - 1)(x - 5) = 0

x = 1, 5.

When x = 1, y = -1 + 7 = 6.

when x = 5, y = -5+7 = 2.

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2 years ago

Simplify radical -81

Solnce55 [7]

Step-by-step explanation:

-81

$\sqrt{ - 1} \: \times \sqrt{81}$

$\sqrt{ - 1} = i$

$i \times \sqrt{9 {}^{2} }$

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$9i$

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3 years ago

(-10) - |(-20) – (+30) |

myrzilka [38]

ANSWER: -60

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−10−|−20−30|

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= −10−50

= −60

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3 years ago