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Black_prince [1.1K]
3 years ago
5

A salesman receives a weekly salary of $150. He

Mathematics
1 answer:
shusha [124]3 years ago
8 0

Answer:

150 + 4x = 330

4x = 180

x = 45

Step-by-step explanation:

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How do you say 11,000 in Japanese (in romaji)
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A gear with a diameter of 12.0 inches makes 35 revolutions every three minutes. Find the linear and angular velocities of a poin
alina1380 [7]

Answer:

Angular velocity: \omega = \frac{7\pi}{18} \,\frac{rad}{s} (1.222\,\frac{rad}{s})

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Step-by-step explanation:

The gear experiments a pure rotation with axis passing through its center, the angular (\omega), in radians per second, and linear velocities (v), in inches per second, of a point on the outer edge of the element are, respectively:

\omega = \frac{2\pi}{60}\cdot \dot n (1)

v = R\cdot \omega (2)

Where:

\dot n - Rotation rate, in revolutions per minute.

R - Radius of the gear, in inches.

If we know that \dot n = \frac{35}{3}\,\frac{rev}{min} and R = 12\,in, then the linear and angular velocities of the gear are, respectively:

\omega = \frac{2\pi}{60}\cdot \dot n

\omega = \frac{7\pi}{18} \,\frac{rad}{s} (1.222\,\frac{rad}{s})

v = R\cdot \omega

v = \frac{14\pi}{3}\,\frac{m}{s} (14.661\,\frac{m}{s})

7 0
3 years ago
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I hate to say it, but these kids and their coach are in the wrong game.

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∫(sec(lnx)tan(lnx)) /x
Dafna11 [192]
Substitute y=\ln x\implies\mathrm dy=\dfrac{\mathrm dx}x, then the integral becomes


\displaystyle\int\frac{\sec(\ln x)\tan(\ln x)}x\,\mathrm dx=\int\sec y\tan y\,\mathrm dy
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=\sec(\ln x)+C
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3 years ago
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