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3 years ago

10+ 3x + 2(x + 0) = 25

Mathematics

1 answer:

Nataly [62]3 years ago

6 0

Answer:

the answer is

x = 3

Step-by-step explanation:

hope the answer will helpful to u

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Find the slope of the line that contains the points (-5, 3) and (-1,-5).

Nutka1998 [239]

Look at the attached picture⤴

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8 0

2 years ago

Find the following integral

ololo11 [35]

There's nothing preventing us from computing one integral at a time:

$\displaystyle \int_0^{2-x} xyz \,\mathrm dz = \frac12xyz^2\bigg|_{z=0}^{z=2-x} \\\\ = \frac12xy(2-x)^2$

$\displaystyle \int_0^{1-x}\int_0^{2-x}xyz\,\mathrm dz\,\mathrm dy = \frac12\int_0^{1-x}xy(2-x)^2\,\mathrm dy \\\\ = \frac14xy^2(2-x)^2\bigg|_{y=0}^{y=1-x} \\\\= \frac14x(1-x)^2(2-x)^2$

$\displaystyle\int_0^1\int_0^{1-x}\int_0^{2-x}xyz\,\mathrm dz\,\mathrm dy\,\mathrm dx = \frac14\int_0^1x(1-x)^2(2-x)^2\,\mathrm dx$

Expand the integrand completely:

$x(1-x)^2(2-x)^2 = x^5-6x^4+13x^3-12x^2+4x$

Then

$\displaystyle\frac14\int_0^1x(1-x)^2(2-x)^2\,\mathrm dx = \left(\frac16x^6-\frac65x^5+\frac{13}4x^4-4x^3+2x^2\right)\bigg|_{x=0}^{x=1} \\\\ = \boxed{\frac{13}{240}}$

4 0

2 years ago

What is the volume of a cylinder if ,

sergiy2304 [10]

38,016 cm³

<h3>Ⲋⲟⳑⳙⲧⳕⲟⲛ :</h3>

We are given that :

Height of cylinder = 21 cm

Radius of cylinder = 24 cm

Therefore, Volume :

➙ V = πr²h

➙ V = ( 22 / 7 ) × ( 24 )² × ( 21 )

➙ V = ( 22 / 7 ) × 576 × 21

➙ V = ( 22 × 576 × 21 ) / 7

➙ V = 266112 / 7

➙ V = 38016

‎ㅤ‎ㅤ ‎ㅤ‎ㅤ~Hence, the volume of given cylinder is 38,016 cm³.

<h3>⳨ⲟⲅⲙⳙⳑⲇ ⳙ⳽ⲉ∂ :</h3>

The volume of cylinder is it's density which tells us the amount by which it can be filled by any material or the the amount of material which can be immersed in it.

The Formula for volume of cylinder is given by :

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎➙ πr²h

8 0

1 year ago

Read 2 more answers

What is the value of the ratio of the surface area to the volume of the cylinder?

Stella [2.4K]

Answer:

Cylinder Surface Area = (2 • π • r²) + (2 • π • r • height)

Surface Area = (2 * PI * 7^2) + (2*PI*7*22)

Surface Area = 307.8760800518 + 967.6105373057

Surface Area = 1,275.4866173575 Square Inches

Cylinder Volume = π • r² • height

Volume = PI * 7^2 * 22

Volume = 3,386.6368805698 Cubic Inches

Surface Area to Volume = 1,275.4866173575 / 3,386.6368805698 =

0.3766233766

Answer is A

Source: https://www.1728.org/diam.htm

Step-by-step explanation:

5 0

3 years ago

A shape is covered by 40 units squares. what is the area of the shape

Ne4ueva [31]

40 square units is teh correct answer

6 0

2 years ago