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Fudgin [204]
3 years ago
5

Find the complete factored form of the

Mathematics
1 answer:
Andreas93 [3]3 years ago
4 0

Answer:

  2a(-7ab^6+8)

Step-by-step explanation:

2a is a common factor of the two terms:

  -14a^2b^6+16a=\boxed{2a(-7ab^6+8)}

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7 0
3 years ago
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

3 0
4 years ago
What value is an x worth
gogolik [260]

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

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Factor sin^2 x

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Using the identity   sin ^2 x+ cos ^2 x = 1  written as 1 -cos ^2 x = sin ^2 x

sin ^2 x ( sin^2 x ) = sin ^4 x

sin ^4 x = sin ^4 x  

 

6 0
4 years ago
15% of 20 is _____.
faltersainse [42]
15% = 0.15

0.15 x 20 = 3

15% of 20 is 3.
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4 years ago
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