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cluponka [151]
4 years ago
6

If g(x)= 3(2)^x, then calculate g(3).

Mathematics
2 answers:
Ede4ka [16]4 years ago
3 0
G(x) = 3 (2)^x
g(3) = 3 (2)^3
g(3) = 3(8)
g(3) = 24
Luba_88 [7]4 years ago
3 0

Answer:

<h2>24.</h2>

Step-by-step explanation:

The given function is

g(x)= 3(2)^x

If we have to find g(3) that means we have to replace the variable x for 3 and see the result

g(3)= 3(2)^3=3(8)=24

Therefore, the answer is 24.

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A spinning giant star of initial radius R1 and angular speed ω1 suddenly collapses radially inward reaching a new radius R2 = 0.
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Answer:

K1/K2=4

Step-by-step explanation:

The kinetic energy of a rotating sphere is given by:

K=\frac{I*\omega^{2} }{2}

The moment of inertia of a solid sphere is given by

I=\frac{2MR^{2} }{5}

The initial kinetic energy is therefore

K_1=\frac{2MR^{2}*\omega^{2} }{10}

K_1=\frac{MR_1^{2}*\omega^{2} }{5}

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K_2=\frac{MR_2^{2}*\omega^{2} }{5}

Therefore the relation K1/K2 if R2 = 0.5R1

\frac{K_1}{K_2} =\frac{5M(R_1)^{2}*\omega^{2} }{5*M(0.5R_1)^{2} \omega^{2}}

The text says nothing about the final angular velocity just the collapse of the collapse of the radius

\frac{K_1}{K_2} =\frac{1 }{(0.5)^{2} }=4

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