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
Anuta_ua [19.1K]
3 years ago
14

A cube is packed with decorative pebbles. If the cube has a side length of 2 inches, and each pebble weighs on average 0.5 lb pe

r cubic inch, what is the total weight of the pebbles in the cube?
Mathematics
1 answer:
kow [346]3 years ago
5 0

We can solve this problem by first solving for the total volume of the cube. The formula for volume of cube is given as:

V cube = s^3

Where s is the length of one side which is equivalent to 2 inches. Therefore:

V cube = (2 inches)^3

V cube = 8 cubic inch

 

Assuming that all the pebble fills the cube without any spaces, then the total weight of the pebbles in the cube would simply be:

Total weight = 0.5 lb per cubic inch * 8 cubic inch

Total weight = 4 lb

 

Therefore, the total weight of the pebbles in the cube is <u>4 lbs</u>.

You might be interested in
Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx
shutvik [7]

\dfrac{\mathrm dy}{\mathrm dx}=\cos(x+y)

Let v=x+y, so that \dfrac{\mathrm dv}{\mathrm dx}-1=\dfrac{\mathrm dy}{\mathrm dx}:

\dfrac{\mathrm dv}{\mathrm dx}=\cos v+1

Now the ODE is separable, and we have

\dfrac{\mathrm dv}{1+\cos v}=\mathrm dx

Integrating both sides gives

\displaystyle\int\frac{\mathrm dv}{1+\cos v}=\int\mathrm dx

For the integral on the left, rewrite the integrand as

\dfrac1{1+\cos v}\cdot\dfrac{1-\cos v}{1-\cos v}=\dfrac{1-\cos v}{1-\cos^2v}=\csc^2v-\csc v\cot v

Then

\displaystyle\int\frac{\mathrm dv}{1+\cos v}=-\cot v+\csc v+C

and so

\csc v-\cot v=x+C

\csc(x+y)-\cot(x+y)=x+C

Given that y(0)=\dfrac\pi2, we find

\csc\left(0+\dfrac\pi2\right)-\cot\left(0+\dfrac\pi2\right)=0+C\implies C=1

so that the particular solution to this IVP is

\csc(x+y)-\cot(x+y)=x+1

5 0
3 years ago
There are 2 sets of balls numbered l through 19 placed in a bowl. If 2 balls are randomly chosen without replacement, find the p
Sergio039 [100]

Answer:

0.027027

Step-by-step explanation:

2 x 19= 38

38C2=703

19/703=0.027027

You

8 0
3 years ago
HOW do i solve this? <br><br> 7.42 ÷ 1.75
artcher [175]

Answer:

Step-by-step explanation:

You divide 7.42 / 1.75 = the answer is 4.24

7 0
2 years ago
Read 2 more answers
Pls hurry !!<br> 8x+2=5x+12 simplified fraction
leonid [27]

Answer: 10/3

Step-by-step explanation: trust me my guy g o o g l e is always correct

8 0
3 years ago
Read 2 more answers
How do I solve this:<br> (-3z2+z+13)-(6z2+7)
vesna_86 [32]
I know that you should use PEMDAS, what grade are you in this sems advances for you
7 0
3 years ago
Other questions:
  • 3 = x - 8<br> I need this right now plz
    9·2 answers
  • a refigerator was sold $890. this price included a 30% mark-up on the cost price. calculate the cost price
    6·2 answers
  • colton's recipe makes 2 dozen brownies. his recipe calls for 7/8 cup of vegetable oil. how much oil will colton need to make 6 d
    8·1 answer
  • A grocery store is making fruit baskets using 144 apples, 108 oranges, and 90 pears . Each basket will be identical. What is the
    8·2 answers
  • you are designing a rectangular flower bed that you will border using brick paverst. the width of the border aaround the bed wil
    11·1 answer
  • What is 12 5/13 as an improper fraction
    11·2 answers
  • 9 3/5 times 3 1/2 equals
    11·1 answer
  • What is the interquartile range of this data set ?
    13·1 answer
  • 204.6 is what percent of 125? Round to the nearest tenth.
    13·1 answer
  • (a) consider the initial-value problem a=ka,a(0)=ao as t as the model for the decay of a radioactive substance. show that, in ge
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!