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
RSB [31]
3 years ago
8

The density of a certain material is such that it weighs 6 kilograms per quart of volume. Express this density in grams per lite

r. Round your answer to the nearest whole number.
Mathematics
1 answer:
fredd [130]3 years ago
4 0

Answer:

The density of the material is 6342 grams/liter.

Step-by-step explanation:

Given that,

The density of a certain material is such that it weighs 6 kilograms per quart of volume.  We need to find the density in grams per liter.

We know that,

1 kg = 1000 g and 1 litre = 1.057 quart

So,

d=6\ \dfrac{\text{kg}}{\text{quart}}\\\\=6\times \dfrac{1000\ \text{g}}{\dfrac{1}{1.057}\ \text{liter}}\\\\d=6342\ \text{g/liter}

Hence, the density of the material is 6342 grams/liter.

You might be interested in
Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)
Dima020 [189]

Split C into two component segments, C_1 and C_2, parameterized by

\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)

\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)

respectively, with 0\le t\le1, where \mathbf r_i(t)=(x(t),y(t)).

We have

\mathrm d\mathbf r_1=(6,1)\,\mathrm dt

\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt

where \mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt

so the line integral becomes

\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)

=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt

=\displaystyle\int_0^1(35t^2+55t-24)\,\mathrm dt=\frac{91}6

6 0
3 years ago
How to round to nearest hundredth
loris [4]

Answer:

just look at the decimal after the decimal number is the tenths place the hundreds place and so on if i have to round 567.1092 i would round the nine up to make the zero a one so my rounded answer would be 567.11

Step-by-step explanation:

4 0
3 years ago
Are points O, X, and U coplanar?
melomori [17]

Answer:

Yes.

Step-by-step explanation:

Any three points are always coplanar.

5 0
3 years ago
Read 2 more answers
Which statement is false?
wariber [46]

All integers are whole numbers is false Whole numbers are non-negative while integers are negative, positive or zeros. D

6 0
3 years ago
Answer this, pic shown below. please
White raven [17]

Answer: it is D

explanation: the higher the weight is the higher the cost is

6 0
3 years ago
Other questions:
  • The b point slope form of a line that has a slope of-2 and passes through point (5,-2)
    9·1 answer
  • If the volume of the gas increased from 600 to 800 in.^3, by how much does the pressure change?​
    15·2 answers
  • Simpson has a rectangular fish aquarium that measures 31 inches long, 13 inches wide and is 28 inches deep. What is the maximum
    6·1 answer
  • Calculate the area of the shaded sector.<br><br> 11.73<br><br> 11.2<br><br> 11.4<br><br> 11.83
    14·1 answer
  • Solve the following equation for a: -g + 3/4a = y
    7·1 answer
  • The area of a rectangle is 63ft ^2 and the length of the rectangle is 5ft more than double the width. Find the dimensions of the
    6·1 answer
  • Here is a linear equation: y = 10+ 1. Are (1,1.5) and (12, 4) solutions to the equation? Select the correct choice.​
    13·1 answer
  • 8y-2d=0 5y+4d=26 1/4
    5·2 answers
  • Find the domain and the range of the relation. Determine whether the relation is a function.
    5·1 answer
  • Find the circumcenter of the triangle (-2,4) (-2,-1) (1,-1)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!