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3 years ago

A sample of an unknown liquid has a volume of 24.0 mL and a mass of 6 g. What is its density?

Mathematics

2 answers:

Furkat [3]3 years ago

5 0

Answer:

Hey there!

Density = Mass/Volume

Mass= 6g

Volume=24 mL, which is 24 cm^3

Density= 6g/24 cm^3

Density=0.25 g/cm^3

Let me know if this helps :)

Alex17521 [72]3 years ago

4 0

Answer:

0.25g/ml

Step-by-step explanation:

Mass=6g

Volume=24ml

Density=Mass/Volume

=6/24=1/4=0.25g/ml

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Find the solutions of the quadratic equation -9c² +2 +3 = 0.

Tresset [83]

Given that,

An equation : -9c² +2c +3 = 0

To find,

Find the value of x.

Solution,

We have, -9c² +2c +3 = 0

We can solve it using the formula as follows :

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here, a = -9, b = 2 and c =3

Put the values,

$c=\dfrac{-2\pm \sqrt{(2)^2-4(-9)(3)}}{2(-9)}\\\\c=\dfrac{-2+\sqrt{(2)^{2}-4(-9)(3)}}{2(-9)}, \dfrac{-2-\sqrt{(2)^{2}-4(-9)(3)}}{2(-9)}\\\\c=-0.47, 0.69$

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8 0

3 years ago

Solve the initial value problem: y'(x)=(4y(x)+25)^(1/2) ,y(1)=6. you can't really tell, but the '1/2' is the exponent

goblinko [34]

Answer:

$y(x)=x^2+5x$

Step-by-step explanation:

Given: $y'=\sqrt{4y+25}$

Initial value: y(1)=6

Let $y'=\dfrac{dy}{dx}$

$\dfrac{dy}{dx}=\sqrt{4y+25}$

Variable separable

$\dfrac{dy}{\sqrt{4y+25}}=dx$

Integrate both sides

$\int \dfrac{dy}{\sqrt{4y+25}}=\int dx$

$\sqrt{4y+25}=2x+C$

Initial condition, y(1)=6

$\sqrt{4\cdot 6+25}=2\cdot 1+C$

$C=5$

Put C into equation

Solution:

$\sqrt{4y+25}=2x+5$

$4y+25=(2x+5)^2$

$y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$

$y(x)=x^2+5x$

Hence, The solution is $y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$ or $y(x)=x^2+5x$

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3 years ago

Answer Question Pls? I need Help!!

QveST [7]

Answer:

option D

Step-by-step explanation:

Take the two through which the lines passes.

Let it be ( -5 , 0) and ( 0 , -3)

Step 1 : Find slope, m

$Slope,m = \frac{y_2 -y_1}{x_2 - x_1}$

$= \frac{-3-0}{0--5} = \frac{-3}{5}$

Step 2 : Find the equation

$(y - y_ 1) = m( x - x_1)\\\\( y - 0) = \frac{-3}{5} (x --5) \\\\y = -\frac{3}{5}( x + 5 ) \\\\y = -\frac{3}{5}x - 3$

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3 years ago

Is the relationship between the number of tickets sold and the number of hours proportional

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Answer:

yes

Step-by-step explanation:

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3 years ago

1/2x - 4 = 1/3x + 5

Mamont248 [21]

Answer:

X = 54

Step-by-step explanation:

Let's solve your equation step-by-step.

1/2x−4=1/3x+5

Step 1: Subtract 1/3x from both sides.

1/2x−4−1/3x=1/3x+5−1/3x

1/6x−4=5

Step 2: Add 4 to both sides.

1/6x−4+4=5+4

1/6x=9

Step 3: Multiply both sides by 6.

6*(1/6x)=(6)*(9)

x=54

3 0

3 years ago