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
Sati [7]
3 years ago
9

A coat of paint of thickness 0.06 cm is to be applied uniformly to the faces of a cube of edge 33 cm. Use differentials to find

the approximate amount of paint required for the job, correct to the nearest cubic centimeter.
Mathematics
1 answer:
Aneli [31]3 years ago
6 0

Answer:

392 cm^3

Step-by-step explanation:

Let X represent the edge of a cube

let t represent the thickness of the paint.

Volume of a cube = x^3

V = x^3

Differentiate V with respect to x

dV/dx = 3x^2

dV = 3x^2 dx

dx = 2dt

= 2(0.06)

= 0.12

dV = 3(33)^2 (0.12)

dV = 392.04cm^3

dV = 392 cm^3

You might be interested in
a young hockey player on frictionless ice shoots a 1 kg hockey puck 150 m/s toward the goal. of the hockey player slides backwar
Dafna11 [192]
By conservation of linear amount of movement we have:
 m1v1i + m2v2i = m1v1f + m2v2f
 Where,
 v1i = v2i = 0 (assuming initial rest)
 m1v1f + m2v2f = 0
 Substituting the values:
 m1 (-3) + (1) (150) = 0
 Clearing m1:
 m1 = (- (1) * (150)) / (- 3)
 m1 = 50 Kg
 answer:
 his mass is 50 Kg
5 0
3 years ago
A1<br> B2<br> C3<br> D4<br> what is it
Sonja [21]
I believe four is the right answer to the problem
5 0
3 years ago
What is the value of y in the sequence below?<br> 2,y,18, -54,162,
snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

<u>A</u><u>r</u><u>i</u><u>t</u><u>h</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{a_{n + 1} - a_n = d}

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

<u>G</u><u>e</u><u>o</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{ \frac{a_{n + 1}}{a_n}  = r}

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

  • 2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

\displaystyle \large{ \frac{ - 54}{18}  = - 3 } \\  \displaystyle \large{ \frac{ 162}{ - 54}  = - 3}

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

\displaystyle \large{ a_{n + 1} = y } \\  \displaystyle \large{ a_n = 2 } \\  \displaystyle \large{ r =  - 3 }

From the:

\displaystyle \large{ \frac{a_{n + 1}}{a_n}  = r}

Substitute the values in.

\displaystyle \large{ \frac{y}{2}  =  - 3}

Multiply the whole equation by 2 to isolate y.

\displaystyle \large{ \frac{y}{2} \times 2  =  - 3 \times 2} \\  \displaystyle \large{ y =  - 6}

Therefore, the value of y is -6.

7 0
2 years ago
find the work done by a person pushing a 40 pound box up an incline that is 30 degrees above the horizontal and 100 feet long (i
tankabanditka [31]

The work done in pushing the box is 64000 lb-ft²/s²

<h3>How to calculate the work done by the person?</h3>

Since person pushing a 40 pound box up an incline that is 30 degrees above the horizontal and 100 feet long, the work done, W is

W = mgh where

  • m = mass of box = 40 lb,
  • g = acceleration due to gravity = 32 ft/s² and
  • h = height of incline = LsinФ where
  • L = length of incline = 100 ft and
  • Ф = angle of incline = 30°

So, W = mgh

W = mgLsinФ

So, substituting the values of the variables into the equation, we have

W = mgLsinФ

W = 40 lb × 32 ft/s² × 100 ftsin30°

W = 1280 lb-ft/s² × 100 ft × 0.5

W = 1280 lb-ft/s² × 50 ft

W = 64000 lb-ft²/s²

So, the work done in pushing the box is 64000 lb-ft²/s²

Learn more about work done here:

brainly.com/question/25970931

#SPJ1

3 0
1 year ago
Rearrange to make x the subject<br> 4(x-3) =y<br> pls help
Alina [70]
4(-3x)=y F f f f f f f f d d d d d d d d d d d d d d d d d d d d d d
3 0
2 years ago
Other questions:
  • What is the tenth digit in the quotient 120 ÷ 11
    9·2 answers
  • You need half a liter of milk how many millimeters do you need
    6·1 answer
  • There\ were\ 750\ questions\ in\ a\ mathematics\ book.\ \ Sam\ answered\ 82\%\ of\ them\ correctly.\ \ how\ many\ questions\ did
    6·1 answer
  • An old clock started to fall behind by one minute each day. It was too fragile to fix, but too beloved to stop. How slow was the
    5·1 answer
  • Is a negative plus positive is negative
    7·1 answer
  • PLEASE HELP,, MARKING BRAINLIEST!!<br><br> Write the scale factor of the polygon?
    8·1 answer
  • Factorize:
    10·1 answer
  • Identify the variables: 8c * 7c - 10p + 12
    6·1 answer
  • Is this correct? Can anyone check this for me and make sure it is correct. I’ll mark u brainiest if correct.
    7·2 answers
  • (2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!