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Nataly [62]
3 years ago
13

13x+15=11x-25 5t-5=5t+7 Please show steps for both Thank you

Mathematics
1 answer:
Tanzania [10]3 years ago
3 0
I hope this helps you



13x-11x=-25-15


2x=-40


x=-20


5t-5t=7+5


0=12 false
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Write in slope intercept form the equation of a line that has the slope of 1/3 and the y- intercept of 5.
ludmilkaskok [199]

Answer:

y = 1/3x + 5

Step-by-step explanation:

Slope intercept form is y = mx + b

m is the slope

b is the y intercept

plug your number in

y = 1/3x + 5

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3 years ago
The radius of a circle is 3 5/12 inches <br> What is the diameter of the circle?
nirvana33 [79]

Answer:

6 5/6

Step-by-step explanation:

diameter is radius multiplied by 2

* means multiplied by

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2 years ago
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Round off 7284 to 1sf​
AVprozaik [17]

Answer:

7000

Step-by-step explanation:

This is because when you round to the significant figure, you basically look at any digits at the start of the number, which isn't zero. In this case, it would be in the thousands place 7284. So you round 7284 to the nearest thousands, which, would be 7000

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3 years ago
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A ½in diameter rod of 5in length is being considered as part of a mechanical linkagein which it can experience a tensile loading
Evgesh-ka [11]

Answer:

a. Maximum Load = Force = 27085.09 N

b. Maximum Energy = 3.440 Joules

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Given

Rod diameter = ½in = 0.5in

Length = 5in

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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

Stress = 0.002 * 15.5

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Area = πr² or πd²/4

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A = 22/7 * 0.25 / 4

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A = 0.1964in²

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

1 lbf = 4.4482N

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Force = 27085.09 N

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

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= 0.031 * 1000Ksi

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E = Young Modulus = 15.5Msi

= 15.5 * 1000Ksi

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= 15500000psi

So,

Energy = 0.982 * 31000²/ ( 2 * 15500000)

Energy = 943,702,000/31000000

Energy = 30.442in³psi

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