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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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9. Plot the points A (-2,3), B(2,-3), C(2,3) ,D(-2,3) join the points and find the distance between each point.

pav-90 [236]

Answer:

AB=7.21 unit

BC=6 unit

CD=7.21 unit

AD= 6 unit

AC=4 unit

BD=4 unit

Step-by-step explanation:

Coordinates of A =(-2,3)

Coordinates of B = (2,-3)

Coordinates of C = (2,3)

Coordinates of D =(-2,-3)

Distance formula : $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$A=(x_1,y_1)=(-2,3)\\B=(x_2,y_2)=(2,-3)\\AB = \sqrt{(2+2)^2+(-3-3)^2}$

AB=7.21 unit

$B=(x_1,y_1)=(2,-3)\\C=(x_2,y_2)=(2,3)\\BC=\sqrt{(2-2)^2+(3+3)^2}$

BC=6

$C=(x_1,y_1)=(2,3)\\D=(x_2,y_2)=(-2,-3)\\CD=\sqrt{(-2-2)^2+(-3-3)^2}$

CD=7.21

$A=(x_1,y_1)=(-2,3)\\D=(x_2,y_2)=(-2,-3)\\AD=\sqrt{(-2+2)^2+(-3-3)^2}$

AD=6

$A=(x_1,y_1)=(-2,3)\\C=(x_2,y_2)=(2,3)$

$AC=\sqrt{(2+2)^2+(3-3)^2}$

AC=4

$B=(x_1,y_1)=(2,-3)\\D=(x_2,y_2)=(-2,-3)$

BD= $\sqrt{(-2-2)^2+(-3+3)^2}$

BD=4

4 0

3 years ago

Frankie descends 56 ft in 4 minutes. what is frankies average change in position per minute from which he started.

ArbitrLikvidat [17]

Answer:

14?

Step-by-step explanation:

6 0

3 years ago

If a physician order is 25% dextrose 1000 mL and all you have is 70% dextrose 1000 mL and 5% dextrose how much 70% dextrose will

miskamm [114]

Answer:

The answer is below

Step-by-step explanation:

Since 1000ml Of Dextrose 25% is needed to be produced from Dextrose 70%. Let us assume that x ml of Dextrose 70% is mixed with a Dextrose 5% to get 1000 ml of Dextrose 25%. Hence:

The amount of Dextrose 5% = 1000 ml - x ml = 1000 - x

25% of 1000 ml = 70% of x + 5% of (1000 - x)

25000 = 70x + 5000 - 5x

Simplifying gives:

65x = 25000 - 5000

65x = 20000

x = 308 ml

Therefore 308 ml of Dextrose 70% was mixed with 692 ml of Dextrose 5% to produce 1000 ml of Dextrose 25%.

7 0

3 years ago

“All You Can Eat Tuesdays” at a local café offers a full salad bar that costs $10 for children and $15 for adults. Last Tuesday,

erma4kov [3.2K]

Answer:

10x + 15y = 180

Step-by-step explanation:

hope i helped 3 days later lol srry

3 0

3 years ago

Read 2 more answers

Simplify the expression a^b: 5x^4 y^2 * 3x^6 y^9

tatyana61 [14]

Answer:

3x(3x + 2)

Step-by-step explanation:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

I hope it is right.

4 0

3 years ago