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olga55 [171]
3 years ago
12

Serial numbers for a product are to be made using 2 letters followed by 3 numbers. If the letters are to be taken from the first

6 letters of the alphabet with no repeats and the numbers are taken from the digits 0 through 9 with repeats possible, how many serial numbers can be generated?
Mathematics
1 answer:
Daniel [21]3 years ago
8 0
2 Letters chosen among 6 with no repeat:
a) the first has 6 ways
    the second has 5  ways

Then to choose 2 letters among 6, with no repeat, there are 6x5 = 30 ways

 b) 3 numbers are taken from the digits 0 through 9 with repeats (total = 10)
     the first has 10 ways
     the second has 10  ways
    the third has 10  ways

Then to choose 3 numbers among 10, with repeat, there are 10x10x10= 1000 ways
And the total serial numbers that can be generated is
30 x 1000 = 3000
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Answer:

(x-5)^2+(y+2)^2=16

Step-by-step explanation:

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General Circle function: (x-h)^2+(y-k)^2=r^2, where h is the x-coordinate of the center, k is the y-coordinate of the center, and r is the radius.

The radius of the circle is half the diameter so: 8 / 2 = 4

The x-coordinate of the circle is 5

The y-coordinate of the circle is -2

Plug in.

(x-5)^2+(y-(-2))^2=4^2

(x-5)^2+(y+2)^2=16

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alekssr [168]
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2. Calculate the angular speed of the 26-inch bicycle rotating at 200 revolutions per minute. Express your answer in radians per
Alexus [3.1K]
The angular velocity for this problem is given by:
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 The first thing you should keep in mind is the following conversion:
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 Rewriting:
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the angular speed is:
 
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Step-by-step explanation:

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guajiro [1.7K]
Given the compound statement <span>(p∨q)∧r
where: p: 5 < -3
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Recall the in logic, '</span>∨' symbolises "or" while '∧' symbolises "and".

Therefore, the compound statement <span>(p∨q)∧r can be written as follows:
Either 5 < -3 or all vertical angles are congruent, and if 4x = 36, then x = 9.
</span>
4 0
3 years ago
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