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B. It is the amount of three-dimensional space inside the solid.

Volume, measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The volume of a solid is the measure of the amount of three-dimensional space that is occupied by the solid.

It is a measure of the physical space that the solid occupies in three-dimensional space. It is different from the surface area or perimeter of a solid which measure the amount of space that is taken up by the solid in two dimensions.

In summary, the volume of a solid refers to the amount of three-dimensional space that is enclosed by the solid, and it is an important measurement in many fields including engineering, architecture, and physics.

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The solution to the algebraic equation is x = 1. The last option is correct.

The solution to a linear algebraic equation can be achieved by finding the like terms and equating them to the constant variable.

From the given information:

8 - 2x = -8x + 14

-2x + 8x = 14 - 8

6x = 6

x = 1

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Answer:

3.24 kg

Step-by-step explanation:

internal Vol = (30-0.5)(16-1)(17-1) = 7080 cm^3 = 7.08ltrs

external Vol= 30* 16* 17 = 8160cm^3 = 8.16ltrs

Vol of thickness = 8160 - 7080 = 1080cm^3

Mass of the tank= density * volume = 3*1080 = 3,240g = 3.24 kg

Answer:

-21

Step-by-step explanation:

comments

Answer:

gradient = slope = 1

Y =1X +1  is the equation

Step-by-step explanation:

x1 y1  x2 y2

4 5  1 2

(Y2-Y1) (2)-(5)=   -3  ΔY -3

(X2-X1) (1)-(4)=    -3  ΔX -3

slope= 1          

B= 1          

Y =1X +1    

Answer:

b = 7/2

x = 11/2

y = 21/2

z = -4

Step-by-step explanation:

2x + 2y + 2z = 24

x + y + z = 12

b + 2x + y + z = 21

2b + 2y = 28

b + y = 14

3x + y + z = 23

we can start anywhere by transforming these equations in a way that always one variable is excised by others.

so, e.g.

b = 14 - y

14 - y + 2x + y + z = 21

2x + z = 7

z = 7 - 2x

3x + y + 7 - 2x = 23

x + y = 16

16 + z = 12

z = -4

-4 = 7 - 2x

-11 = -2x

11 = 2x

x = 11/2

11/2 + y = 16

y = 16 - 11/2 = 32/2 - 11/2 = 21/2

b = 14 - 21/2 = 28/2 - 21/2 = 7/2

Answer:

x = 14.63

Step-by-step explanation:

Answer: [tex]60\ ft[/tex]

Step-by-step explanation:

Given

Side length of square shape [tex]a=15\ ft[/tex]

Length of the garden is equal to the perimeter of the square i.e. 4 times the side length

[tex]\Rightarrow \text{Lenght L= }4a\\\Rightarrow L=4\times 15\\\Rightarrow L=60\ ft[/tex]

Thus, the length of the require garden is [tex]60\ ft[/tex]

Answer:

hijjijkkkmmkmjjjjjjjjjijjji

Answer:

Step-by-step explanation:

[tex]\frac{\sqrt{x}+1 }{x-\sqrt{x}+1 }=\frac{\sqrt{x}+1}{(x+1)-\sqrt{x}}\\\\=\frac{(\sqrt{x}+1)([x+1]+\sqrt{x})}{([x+1]-\sqrt{x})+([x+1)+\sqrt{x}])}\\\\=\frac{\sqrt{x}*x+\sqrt{x}*1+\sqrt{x}*\sqrt{x}+1*x+1*1+1*\sqrt{x}}{(x+1)^{2}-(\sqrt{x})^{2}}\\\\\\=\frac{x\sqrt{x}+\sqrt{x}+x+1+x+\sqrt{x}}{x^{2}+2x+1-x}\\\\=\frac{x\sqrt{x}+2\sqrt{x}+2x+1}{x^{2}+x+1}\\\\[/tex]

Answer:

Step-by-step explanation:

a₂ = 9

a₃ = a₂-1.5

a₄ = a₃-1.5

a₅ = a₄-1.5

etc.

The terms have a common difference of -1.5, so the sequence is arithmetic.

Answer:

Step-by-step explanation:

The common difference is a y-thing. It looks like the difference in the y-values of each of these points is -1.5. That means that this is an arithmetic sequence because the common difference is consistently -1.5. In fact, the whole equation can be determined to be

[tex]a_n=-1.5n+12[/tex]

Hi there!  

»»————-　★　————-««

I believe your answer is:  

D) 8

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'b'...}}\\\\\sqrt[3]{b} =2\\--------------\\\rightarrow ( \sqrt[3]{b} )^3= 2^3\\\\\boxed{b = 8}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

204

Step-by-step explanation:

600 * .12 = 72

600 * .22 = 132

72 + 132 = 204

Have a great day!

Respuesta:

A = 1/16 × x²

Explicación paso a paso:

Un alambre de longitud x se dobla en forma de cuadrado. Como un cuadrado tiene 4 lados iguales la longitud de cada lado (l) será:

l = 1/4 × x

Para calcular el área de un cuadrado (A) usaremos la siguiente fórmula.

A = l²

A = (1/4 × x)²

A = 1/16 × x²

Answer:

C

Step-by-step explanation:

it is rewritten in the form of 60/(2^x)

Answer:

number of black pencils is 17

Answer:

x ≈ 14.7

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan73° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{48}{x}[/tex] ( multiply both sides by x )

x × tan73° = 48 ( divide both sides by tan73° )

x = [tex]\frac{48}{tan73}[/tex] ≈ 14.7 ( to the nearest tenth )

Answer:

A

Step-by-step explanation:

Since the pyramids are similar, the scale factor will be 3. So the height of the small pyramid is 6.3/3=2.1. The volume will be (1/3)*(2.1)*(2.3)^2=3.70

The volume of smaller square pyramid is 3.703 cubic yards. Therefore, option A is the correct answer.

Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical.

Given that, the two square pyramids are similar.

Let the height of smaller square pyramid be h.

As we know, when two geometrical figures are similar, their sides will be in proportion.

Now, 6.9/2.3 = 6.3/h

3=6.3/h

h=2.1 yd

The volume of square based pyramid =a²h/3.

Thus, volume = (2.3²×2.1)/3

= 11.109/3

= 3.703 cubic yards

Therefore, option A is the correct answer.

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Answer: 75th term

Step-by-step explanation:

If you look at the first terms, you can see that we're subtracting 12 from the previous term to get the number. Knowing this, we can write an expression for the nth term. The expression would be -12n + 20. Since this specific term has value of -880, we set -880 equal to the value of -12n+20. By setting your equation like this -12n + 20 = -880 and solving, you get n = 75, which means the 75th term has a value of -880.

Answer:

[tex]\displaystyle m = \frac{22}{9}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (1, 3)

Point (10, 25)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

c

Step-by-step explanation:

Answer:

333354

Step-by-step explanation:

Simplify the expression.

Answer:

333,354

Step-by-step explanation:

First, we add the 3's. And get 21.

333,333 + 21 = 333,354

Answer:

Around 29.67 each.

Step-by-step explanation:

The bill is being split amongst 3 people. Therefore, we must divide the total price by 3:

[tex]\frac{89}{3}[/tex]

=29.66666667

=29.67

Answer:

3÷89 it would be 36.55 each has to pay on bills

Answer:

The diameter would be 11 feet

Step-by-step explanation:

C = pi * d

we don't know D so we rearrange the equation to solve for D by dividing both sides by pi:

C/pi = d

Now we plug in everything

11pi/pi = d

The pi cancel each other out leaving with 11 feet

Therefore D = 11 feet

Answer:

5 i √ 3

Step-by-step explanation:

Answer:

Geometric sequence

Step-by-step explanation:

A geometric sequence involves each number after the first one being multiplied by a specific number, called the common ratio.

This situation is a geometric sequence, where the common ratio is 4.

For example, there are 4 cookies on the second plate, 16 on the third, and 64 on the fourth. To get each number, the previous number is multiplied by 4.

So, this is a geometric sequence.

If he placed one cookie on the first dish, four on the second, sixteen on the third, and sixty-four on the fourth. A geometric sequence is a type of sequence.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity,

It is given that the educator placed one cookie on the first dish, four cookies on the second, sixteen cookies on the third, and sixty-four cookies on the fourth.

Each number following the first in a geometric sequence is multiplied by a particular number, known as the common ratio. The common ratio in this situation, which is a geometric sequence, is 4.

The second dish, for instance, has four cookies, the third, sixteen, and the fourth, sixty-four. Each number is obtained by multiplying the preceding number by four.

Thus, if he placed one cookie on the first dish, four on the second, sixteen on the third, and sixty-four on the fourth. A geometric sequence is a type of sequence.

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Answer:

not sure what your asking.... is there a file you can submit?

Step-by-step explanation:

Answer:

-10

Step-by-step explanation: