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Over [174]
3 years ago
14

X-1 / x-1 = 1 What is x?

Mathematics
1 answer:
lions [1.4K]3 years ago
4 0

Answer:

\large\boxed{x\in\mathbb{R}-\{1\}}\to\text{any real number except 1}

Step-by-step explanation:

\dfrac{x-1}{x-1}=1\\\\\text{Domain:}\ x-1\neq0\qquad\text{add 1 to both sides}\\\\x\neq1\\\\\text{We know:}\ \dfrac{a}{a}=1\ \text{for any real number except 0}.\\\\\text{Therefore}\ x\ \text{is any real number except 1}.

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A man weighing 800 N is hanging from a 2 mm diameter titanium wire with a cross-section of 3 x 10^-6 m^2. Will the wire break?
DENIUS [597]

Answer:

Since stress is greater than ultimate strength, the wire will break.

Step-by-step explanation:

The titanium wire is experimenting an axial load. Ultimate strength equals 2.20\times 10^{8}\,Pa. The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress (\sigma), measured in pascals, in the wire with circular cross-section is:

\sigma = \frac{4\cdot F}{\pi\cdot D^{2}} (1)

Where:

F - Axial force, measured in newtons.

D - Cross-section diameter, measured in meters.

Please notice that axial force is the weight of the man hanging from wire.

If we know that F = 800\,N and D = 0.002\,m, then the axial stress experimented by the titanium wire is:

\sigma = \frac{4\cdot (800\,N)}{\pi\cdot (0.002\,m)^{2}}

\sigma \approx 2.546\times 10^{8}\,Pa

Since stress is greater than ultimate strength, the wire will break.

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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If using the method of completing the square to solve the quadratic equation
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Snezhnost [94]

Answer:

$7.20

Step-by-step explanation:

If 8 pens cost $3.84, we need to find out how much ojne pen costs.

To find out the cost of one pen we need to divide $3.84 by 8.

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1 pen cost $0.48

We then need to work out the cost of 15 pens. So from using the information that one pen costs $0.48 we can multiply that by 15 to find out the answer.

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