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mariarad [96]
2 years ago
15

the mass of a mineral is 9.6g the mineral is placed in a graduated cylinder containing 8.o mL of water. the water level rises to

16.0 mL. what is the mineral's density?
Mathematics
2 answers:
Ray Of Light [21]2 years ago
6 0

The volume of the mineral = increase in volume of the water whuich is 16 - 8 = 8mls.

Therefore the  mineral's density = 9.6 / 8

= 1.2 g/ ml   answer

Anton [14]2 years ago
4 0
<h2>Answer:</h2>

The density of mineral is:

                        1.2 g/mL

<h2>Step-by-step explanation:</h2>

It is given that:

when a mineral with mass 9.6 g is placed in a cylinder with 8.0 mL of water then the water level rises to:  16.0 mL

This means that:

    The volume of mineral is:

Volume of the water level after the mineral-Original volume of water in cylinder.

=   16-8

= 8 mL

Now, we know that the density of a substance is the ratio of mass to volume .

i.e.

\text{Density}=\dfrac{\text{Mass}}{\text{Volume}}

Hence, the density of substance will be:

\text{Density}=\dfrac{9.6}{8}g/mL

i.e.

\text{Density}=1.2g/mL

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So, let us apply it here.

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The rationalising factor for 5 - √2 is 5 + √2.

Therefore, multiplying and dividing by 5 + √2, we have

=  \frac{1}{5 -  \sqrt{2} }  \times  \frac{5 +  \sqrt{2} }{5 +  \sqrt{2} }  \\  =  \frac{5 +  \sqrt{2} }{(5 -  \sqrt{2})(5 +  \sqrt{2} ) }  \\  =  \frac{5 +  \sqrt{2} }{ {(5)}^{2} - ( \sqrt{2})^{2}   }  \\  =  \frac{5 +  \sqrt{2} }{25 -  2}  \\  =  \frac{5 +  \sqrt{2} }{23}

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<u>\frac{5 +  \sqrt{2} }{23}</u>

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2 years ago
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Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

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expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

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You deposit $3000 into a money-market savings account which pays 4.8% compounded quarterly, and you make no withdrawals from or
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Answer:

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