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3 years ago

8

There are six performers who will present their comedy acts this weekend at a comedy club. How many different ways are there to

schedule their appearances?

1 answer:

Serga [27]3 years ago

4 0

Answer:

720 different ways

Step-by-step explanation:

There are 6 ways to pick the first performer

Now there are 5 acts left

There are 5 ways to pick the 2nd performer

and so on

6*5*4*3*2*1

720

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Consider a particle moving around a circle with a radius of 38cm. It rotates from 10 degrees to 100 degrees in 11 seconds. Calcu

kifflom [539]

Step-by-step explanation:

Given that,

Radius of circle, r = 38 cm = 0.38 m

It rotates form 10 degrees to 100 degrees in 11 seconds i.e.

$\theta_i=10^{\circ}=0.174\ rad$

$\theta_f=100^{\circ}=1.74\ rad$

Let $\omega$ is the angular velocity of the particle such that, $\omega=\dfrac{\omega_f-\omega_i}{t}$

$\omega=\dfrac{1.74-0.174}{11}$

$\omega=0.142\ rad/s$

We need to find the instantaneous velocity of the particle. The relation between the angular velocity and the linear velocity is given by :

$v=r\times \omega$

$v=0.38\times 0.142$

v = 0.053 m/s

So, the instantaneous velocity of the particle is 0.053 m/s. Hence, this is the required solution.

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2 years ago

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Troyanec [42]

Answer:

x = 1/3 or -2

Step-by-step explanation:

2x^2 + 7x - 2 = - x^2 + 2x

3x^2 + 5x - 2 = 0 (use factoring)

(3x − 1)(x + 2) = 0

3x - 1 = 0 OR x + 2 = 0

3x = 1 x = - 2

x = 1/3

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swat32

Answer:

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Step-by-step explanation:

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Answer:

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