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
serious [3.7K]
3 years ago
15

Can i plz get some help with this!its about finding the conjecture​

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0

Answer:

3-they are cubes of consecutive natural numbers

1 cube is 1

2 cube is 8

3 cube is 27

and so on...

let me know if you're asking fourth one or third one

You might be interested in
What are the multiples of 18?
enot [183]
18<span>,36,54,72,90,108,126,144,162,180,198,216,234,252,
hope this helps!</span>
3 0
3 years ago
Read 2 more answers
I'm have some issues with the problem shown in the screenshot and would love some help.
KiRa [710]

The dimensions and volume of the largest box formed by the 18 in. by 35 in. cardboard are;

  • Width ≈ 8.89 in., length ≈ 24.89 in., height ≈ 4.55 in.

  • Maximum volume of the box is approximately 1048.6 in.³

<h3>How can the dimensions and volume of the box be calculated?</h3>

The given dimensions of the cardboard are;

Width = 18 inches

Length = 35 inches

Let <em>x </em>represent the side lengths of the cut squares, we have;

Width of the box formed = 18 - 2•x

Length of the box = 35 - 2•x

Height of the box = x

Volume, <em>V</em>, of the box is therefore;

V = (18 - 2•x) × (35 - 2•x) × x = 4•x³ - 106•x² + 630•x

By differentiation, at the extreme locations, we have;

\frac{d V }{dx}  =  \frac{d( 4 \cdot \:  {x}^{3}  - 106 \cdot \:  {x}^{2}  + 630\cdot \:  {x} )  }{dx} = 0

Which gives;

\frac{d V }{dx}  =12\cdot \:  {x}^{2}  -  212\cdot \:  {x} + 630 = 0

6•x² - 106•x + 315 = 0

x  =  \frac{ - 6 \pm \sqrt{106 ^2 - 4 \times 6 \times 315} }{2 \times 6}

Therefore;

x ≈ 4.55, or x ≈ -5.55

When x ≈ 4.55, we have;

V = 4•x³ - 106•x² + 630•x

Which gives;

V ≈ 1048.6

When x ≈ -5.55, we have;

V ≈ -7450.8

The dimensions of the box that gives the maximum volume are therefore;

  • Width ≈ 18 - 2×4.55 in. = 8.89 in.

  • Length of the box ≈ 35 - 2×4.55 in. = 24.89 in.

  • Height = x ≈ 4.55 in.

  • The maximum volume of the box, <em>V </em><em> </em>≈ 1048.6 in.³

Learn more about differentiation and integration here:

brainly.com/question/13058734

#SPJ1

7 0
1 year ago
What is the approximate volume if this cone 9cm by 15cm
ArbitrLikvidat [17]
<em>Hello there, and thank you for asking your question here on brainly.

<u>Short answer: A. 1272 cm</u></em>³
<em>
Why?

When finding the volume of a cone, you use the formula <u>V = </u></em><u><em>πr²h/3. </em></u><em>R = 9, H = 15. V = π9²15/3 9</em>² = <em>81 | 15 / 3 = 5 | 3.14 * 81 = 254.34 | 254.34 * 5 = 1271.2 1272 rounded.

Hope this helped you! ♥</em>
5 0
3 years ago
Who lives in FL i do
Ann [662]
I live in Florida as well. FL babyeeee. Melly’s hometown yk yk
3 0
2 years ago
Read 2 more answers
Cellus
mote1985 [20]

Answer:

y = 6 when x = 18

Step-by-step explanation:

The appropriate formula for this direct proportion is y = kx, where k is the constant of proportionality.

We know y = 3 when x = 9:  3 = k(9)

This yields k = 3/9, or k = 1/3

Then the formula is y = (1/3)x

and when x = 18, y = (1/3)(18) = 6

y = 6 when x = 18

4 0
2 years ago
Other questions:
  • Is the number of hours spent studying an explanatory variable
    14·2 answers
  • I need help please.
    9·1 answer
  • A square tile has a side length of 10 cm what is the area of the tile
    10·2 answers
  • Lins goal is to drink 8 cups of water every day.She drank 37 ounces before lunch today. How much more water does lin need to dri
    8·1 answer
  • For her parents' anniversary party, Sharon is considering using one of two venues. A hotel in Westford will cost $562 for a rese
    9·1 answer
  • Evaluate ab + c for a = 2, b = 3, and c = 4
    6·2 answers
  • What is the value of r? 35(r−7)=1
    8·2 answers
  • 1. What is the GCF of 42 and 66?
    6·2 answers
  • This is a sort of difficult question but i would highly appreciate assistance.
    9·1 answer
  • How long would it take a plane to go 12.75 mile if it’s going 0.15 seconds per mile
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!