1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nignag [31]
3 years ago
8

The average density of the material in intergalactic space is approximately 2.5 × 10–27 kg/m3. what is the volume of a lead samp

le, ρ = 11 300 kg/m3, that has the same mass as 8.0 × 1024 m3 of intergalactic space?
a.1.0 × 10–6 m3
b.2.2 × 10–5 m3
c.5.4 × 10–6 m3
d.3.6 × 10–5 m3
e.1.8 × 10–6 m3
Mathematics
1 answer:
Lesechka [4]3 years ago
3 0

Answer:

e. 1.8\times 10^{-6}m^3

Step-by-step explanation:

It is given that,

The density of intergalactic space material is 2.5 \times 10^{-27} kg per cubic meter.

And the volume of intergalactic space material is 8.0\times 10^{24} m^3

So the mass of that much intergalactic space material is,

m= \rho\times v, where 'm' is the mass, and 'v' is the volume.

Putting the values we get,

m=2.5 \times 10^{-27}\times 8.0 \times 10^{24}

m=20\times 10^{(-27+24)}=20\times 10^{-3} kg

It is also given that the mass of lead is the same as the mass of the intergalactic space material. Therefore, the mass of lead is 20 \times 10^{-3}=2 \times 10^{-2}kg

So the volume of lead is,

v=\frac{m}{\rho} =\frac{2 \times 10^{-2}}{11300} = 0.00000177 m^3

v=1.77 \times 10^{-6}=1.8\times 10^{-6}m^3

So the volume of lead is v=1.8\times 10^{-6}m^3.

You might be interested in
What is the volume of this prism 10mm 8mm 12mm 3mm 2mm
Solnce55 [7]

Answer:

5760 mm

Step-by-step explanation:

just multiply lol

3 0
2 years ago
2x+3(x-2)-3(x-6) figuring for X
emmainna [20.7K]

Answer:

2x+12

Step-by-step explanation:

2x+3(x-2)-3(x-6)

2x+3x-6-3x+18

2x-6+18

2x+12

6 0
3 years ago
Read 2 more answers
What is the area of a section of pavement that is 20 ft wide and 70 yd long?
myrzilka [38]

Answer:

A = 4200 ft^2

Step-by-step explanation:

We know the formula for area is

A = l*w

We need to have the same units

convert yd to ft

1 yd = 3ft

Multiply each by 70

70 yds = 210 ft

A = 210 *20

A = 4200 ft^2



6 0
3 years ago
Find the dot product of the position vectors whose terminal points are (14, 9) and (3, 6).
erma4kov [3.2K]

Answer:

Step-by-step explanation:

The formula for the dot product of vectors is

u·v = |u||v|cosθ

where |u| and |v| are the magnitudes (lengths) of the vectors. The formula for that is the same as Pythagorean's Theorem.

|u|=\sqrt{14^2+9^2} which is \sqrt{277}

|v|=\sqrt{3^2+6^2} which is \sqrt{45}

I am assuming by looking at the above that you can determine where the numbers under the square root signs came from. It's pretty apparent.

We also need the angle, which of course has its own formula.

cos\theta=\frac{uv}{|u||v|} where uv has ITS own formula:

uv = (14 * 3) + (9 * 6) which is taking the numbers in the i positions in the first set of parenthesis and adding their product to the product of the numbers in the j positions.

uv = 96.

To get the denominator, multiply the lengths of the vectors together. Then take the inverse cosine of the whole mess:

cos^{-1}\theta=\frac{96}{111.64676} which returns an angle measure of 30.7. Plugging that all into the dot product formula:

u*v=\sqrt{277}*\sqrt{45}cos(30.7) gives you a dot product of 96

6 0
2 years ago
Expand the following: -2(4a-6)<br><br> HELP PLEASEEEEEE!!!!!!!!!!!!!!!<br><br> 20 Points PLEASEEE
Dominik [7]

Answer:

-8a + 12

Step-by-step explanation:

-2(4a - 6)

-2(4a) - -2(6)

-8a - -12

-8a + 12

6 0
3 years ago
Read 2 more answers
Other questions:
  • ANSWER NEEDED QUICK!<br><br> Divide: 5/8 divided by 3/4<br> 1/8<br> 5/6<br> 3/4<br> 1 1/2
    14·1 answer
  • What what what is an equation for 2 1/4 + 6 2/10
    10·2 answers
  • After filling a gas tank the odometer read 39.007.2 after the next filling it read 39.469.2 it took 17.5 gal to fill the tank, h
    5·1 answer
  • The yearly attendance at a local movie theater is 82,000 and grows continuously at a rate of 5.1% each year. What is the approxi
    11·1 answer
  • 7.97 as a mixed fraction and a improper fraction
    11·1 answer
  • If 45 cookies will serve 15 students, how many cookies are needed for 30 students?
    8·2 answers
  • Basketballs sell for 27.99 each at the super D and for 21.59 each at the bargain spot. If the coach buys a dozen basketballs, ho
    7·2 answers
  • Aldo made $153 for 9 hours of work<br> At the same rate how much would he make for 18 hours of work?
    15·2 answers
  • If i walk 4 miles per hour how long will it take to walk a mile
    14·1 answer
  • A hiker travels 6 mph, which is 3/11 the rate of a cyclist. Suppose the cyclist is following behind the hiker. How fast does the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!