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Liono4ka [1.6K]
3 years ago
9

Which phrases can be represented by the algebraic expression x 14? Select three options. The quotient of a number and 14 a numbe

r plus 14 fourteen less than a number fourteen more than a number a number increased by 14.
Mathematics
1 answer:
qwelly [4]3 years ago
6 0

Algebraic expression is the combination of variables, coefficients and the constants. The phrase 2,4 and 5 represents the given algebraic equation.

Given information-

The given algebraic expression in the problem is,

x+14

<h3>Algebraic expression</h3>

Algebraic expression is the combination of variables, coefficients and the constants.

Above expression has the a unknown number x. The expression refer that the number 14 is added in the unknown number x.

Lets check all the phrase one by one,

  • The quotient of a number and 14-

The option 1 is the quotient of a number and 14. Here the unknown number is x. Thus the expression for this option can be given as,

=\dfrac{x}{14}

This phrase does not represent the given expression. Thus the option 1 is incorrect option.

  • 2) A number plus 14-

The option 2 is a number plus 14. Here the unknown number is x. The term plus refers the addition of 14 in the unknown number.Thus the expression for this option can be given as,

=x+14

This phrase represents the given expression. Thus the option 2 is correct option.

  • 3) Fourteen less than a number-

The option 3 is fourteen less than a number. Here the unknown number is x. The term less than refers to subtract 14 from the number. Thus the expression for this option can be given as,

=x-14

This phrase does not represent the given expression. Thus the option 3 is incorrect option.

  • 4)  Fourteen more than a number

The option 4 is fourteen more than a number. Here the unknown number is x. The term more refers the addition of 14 in the unknown number. Thus the expression for this option can be given as,

=x+14

This phrase represents the given expression. Thus the option 4 is correct option.

  • 5)  a number increased by 14.

The option 5 is a number increased by 14. Here the unknown number is x. The term increased refers the addition of 14 in the unknown number. Thus the expression for this option can be given as,

=x+14

This phrase represents the given expression. Thus the option 5 is correct option.

Hence the phrase 2,4 and 5 represents the given algebraic equation.

Learn more about the algebraic expression here;

brainly.com/question/953809

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b. Maximum Energy = 3.440 Joules

Step-by-step explanation:

Given

Rod diameter = ½in = 0.5in

Length = 5in

Young's modulus = 15.5Msi

By applying the 0.2% offset rule,

The maximum load the rod can hold before it gets to breaking point is given as follows by taking the strain as 0.2%

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Stress = Strain * Young Modulus

Stress = 0.2% * 15.5

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Area, A = 22/7 * 0.5^4 / 4

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The maximum load that the rod would take before it starts to permanently elongate is given by

Force = Stress * Atea

Force = 0.031Msi * 0.1964in²

Force = 31Ksi * 0.1964in²

Force = 6.089Ksi in²

Force = 6.089 * 1000lbf

Force = 6089 lbf

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b.

Using Strain to Energy Formula

U = V×σ²/2·E

Where V = Volume

V = Length * Area

V = 5 in * 0.1964in²

V = 0.982in³

σ = Stress = 0.031Msi

= 0.031 * 1000Ksi

= 31Ksi

= 31 * 1000psi

= 31000psi

E = Young Modulus = 15.5Msi

= 15.5 * 1000Ksi

= 15.5 * 1000 * 1000psi

= 15500000psi

So,

Energy = 0.982 * 31000²/ ( 2 * 15500000)

Energy = 943,702,000/31000000

Energy = 30.442in³psi

------- Converted to ftlbf

Energy = 2.537 ftlbf

-------- Converted to Joules

Energy = 3.440 Joules

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