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Aleksandr [31]
3 years ago
5

Ally works in a shop for 18$ per hour. She is not allowed to work more than 40 hours a week but has to work atleast 20 hours. St

ate a reasonable domain for this problem ​
Mathematics
1 answer:
AleksAgata [21]3 years ago
8 0

Answer:

Hi there!

The domain is:

20<=x<=40

Step-by-step explanation:

This states that:

x>=20

x<=40

Which fits the problem!

Hope this helps

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What is the angular velocity of a 6–foot pendulum that takes 3 seconds to complete an arc of 14.13 feet? Use 3.14 for π
iren2701 [21]
1) Calculate the whole arc (complete circumference):


Circumference = 2π*radius


radius = 6 foot


=> Circumference = 2 * 3.14 * 6 foot = 37.68


2) Calculate the time to make a whole round, by making a proportion with the two ratios:


 ratio 1 = x / 37.68 =


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ratio 1 = ratio 2 =>

   x                  3s
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=> x = 3 * 37.68 / 14.13 = 8 s


3) Calcuate the angular velocity as the 2π rad (which is the total angle of a circle) divided by the time.


So the angular velocity is 2π rad / 8 s = 2*3.14 foot / 8 s = 0.785 rad / s



Answer: 0.785 rad / s


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