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Dima020 [189]
3 years ago
11

True or false is all linear equations and all quadratic equations are polynomial equations

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
5 0
True, they all are polynomial equations
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Answer:

x = 8, y = -5

Step-by-step explanation:

Multiplying the 2nd equation by 3, we get -3x-9y = 21. Then eliminating with the first equation we get -5y = 25. y = -5. Substituting this into the original equation, we get x = 8.

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A three inch diameter pulley on an electric motor that runs at 1800
Bezzdna [24]

Answer:

a) 3 inch pulley: 11,309.7 radians/min

6) 6 inch pulley: 5654.7 radians/min

b) 900 RPM (revolutions per minute)

Step-by-step explanation:

Hi!

When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ.  Then the tangential speed V is related to angular speed  ω as:

V=R\omega

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:

\omega_1 R_1 = \omega_2 R_2\\

\omega_2 = \omega_1 \frac{R_1}{R_2} =1800RPM* \frac{3}{6}= 900RPM

We need to convert RPM to radias per minute. One revolution is 2π radians, then:

\omega_1 = 1800*2\pi \frac{radians}{min} = 11,309.7\frac{radians}{min}

\omega_2 = 5654.7 \frac{radians}{min}

The saw rotates with the same angular speed as the 6 inch pulley: 900RPM

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The correct answer for this problem is A.
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