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saul85 [17]
3 years ago
15

If he has his choices narrowed down to 77 hip-hop, 55 jazz, 77 pop, and 88 blues songs, and he wants to play all 55 jazz songs,

how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place
Mathematics
1 answer:
Gnom [1K]3 years ago
4 0

Answer:

1.27 × (10^73)

Step-by-step explanation:

55!

= 1.2696403 × (10^73)

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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:

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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.

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