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3 years ago

Mercury has a density of 13.6 g/mL. A sample of mercury weighs 2.25 kg. What volume does it occupy

Mathematics

1 answer:

laila [671]3 years ago

8 0

Answer:

165 mL

Step-by-step explanation:

Density is mass divided by volume:

D = M / V

Solving for volume:

V = M / D

The density is given in g/mL. So first let's convert the mass from kg to g:

2.25 kg × (1000 g / kg) = 2250 g

Plugging in values:

V = (2250 g) / (13.6 g/mL)

V = 165.4 mL

Rounded to 3 significant figures, the volume is 165 mL.

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given two squares, one with side length of 5 and the other with a side length of 7, what is the ratio of their areas?

Kaylis [27]

Answer:

25: 49

Step-by-step explanation:

$5*5:7*7\\25: 49$

7 0

2 years ago

The sum of 69 and 42 is five more than the difference of 146 and a number. Calculate the value of the unknown number.

Len [333]

As an equation, we have:
69+42=5+(146-x)

You just have to simplify:

111=5+(146-x)
106=146-x
-40=-x
40=x

Your unknown number is 40

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2 years ago

Parallel, perpendicular or neither

sergejj [24]

Answer:

Step-by-step explanation:

x=3 and x=-4 are parallel, vertical lines

:::::

x-y = 3, slope = 1

2x-2y = 10, slope = 1

Parallel lines

3 0

2 years ago

A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then st

shutvik [7]

Answer:

Equation of movement y(t)

$y(t)=sin(10t-\pi/2)$

Amplitude: 1 inch

Period: 0.628 seconds

Step-by-step explanation:

If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

$A=1\,inch$

The period depends on the mass and the spring constant.

The formula for the period is:

$T=\frac{1}{f} =\frac{2/pi}{\omega} =2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{1}{100}}=2\pi*0.1=0.628\, s$

The model y(t) for the movement of the mass-spring system is

$y(t)=A\cdot sin(\omega t +\phi)\\\\A=1\\\\\omega=\sqrt{k/m} =\sqrt{100/1}=10\\\\y(0)=Asin(\phi)=-A\\\\ \phi=arcsin(-1)=-1.571=-\pi/2\\\\\\y(t)=sin(10t-\pi/2)$

8 0

2 years ago

How many sixths are in 1.5?

mafiozo [28]

Answer:

[three sixths] are the same amount as [one half]

Step-by-step explanation:

Call these units thirds. Split these units in half so there are twice as many. Call these units sixths because six of them make one.

7 0

2 years ago