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Strike441 [17]
3 years ago
14

A plumbers plastic pipe is 4 m long, has an inside diameter of 4.0 cm and an outside diameter of 5.0cm. What is the volume of th

e plastic in the pipe?
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer: V=0.0028278\ m^3

Step-by-step explanation:

Given

Length of the pipe l=4\ m

Inside diameter of the pipe d_i=4\ cm

Outside diameter of the pipe d_o=5\ cm

Volume of the pipe

\Rightarrow V=\dfrac{\pi }{4}[d_o^2-d_i^2]\\\\\text{Insert the values}\\\\\Rightarrow V=\dfrac{\pi}{4}[5^2-4^2]\times 10^{-4}\times 4\\\\\Rightarrow V=28.278\times 10^{-4}\ m^3\\\\\Rightarrow V=0.0028278\ m^3

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I need help solving this problem, please respond as fast as you can.<br><br> -7 – 3x = 1x + 4(2 + x)
Ratling [72]

Answer:

x = -15/8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

-7 - 3x = 1x + 4(2 + x)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute 4:                                                                                                    -7 - 3x = x + 8 + 4x
  2. Combine like terms:                                                                                       -7 - 3x = 5x + 8
  3. [Addition Property of Equality] Add 3x on both sides:                                -7 = 8x + 8
  4. [Subtraction Property of Equality] Subtract 8 on both sides:                      -15 = 8x
  5. [Division Property of Equality] Divide 8 on both sides:                               -15/8 = x
  6. Rewrite/Rearrange:                                                                                        x = -15/8
6 0
3 years ago
Nd the value of the expression. Type a numerical answer in the space provided. 4 ∙ 1 - 3^2 ÷ 3
Gemiola [76]
This is a problem of Arithmetic that is a branch of mathematics that consists of the study of numbers. Its main goal is the study of the traditional operations on them just as: <em>addition, subtraction, multiplication and</em><span><em> division</em>. </span>There is an order of operation to solve problems in arithmetic that is the way you choose to simplify expressions. This order is like this:

1. First. Solve Parentheses.
2. Second. Solve Exponents (and root).
3. Third. Solve Multiplication and Division
3. Fourth. Solve addition and subtraction.  

So let's apply these concepts to our problem:

4 \times 1-3^2 \div 3

We don't have parentheses, so let's apply second step:

4 \times 1-9 \div 3

Applying third step:

4-3

Finally, applying fourth step, the result is:

1

4 0
3 years ago
If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g•h)(5)?
timofeeve [1]

Answer:

(g · h)(5) = -50

Step-by-step explanation:

Step 1: Define

h(x) = x - 7

g(x) = x²

Step 2: Find (g · h)(x)

(g · h)(x) = x²(x - 7)

(g · h)(x) = x³ - 7x²

Step 3: Find (g · h)(5)

(g · h)(5) = 5³ - 7(5)²

(g · h)(5) = 125 - 7(25)

(g · h)(5) = 125 - 175

(g · h)(5) = -50

3 0
3 years ago
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grandymaker [24]

Hope this helps :).  

5 0
4 years ago
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a_sh-v [17]
It is 16 I’ve done this question before
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