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xenn [34]
3 years ago
7

License plates on cars are composed of up to 7 characters. The characters can either be a digit (0,1,...,9) or an uppercase lett

er (A,B,...,Z). For example, your license plate could be: AA04R32 or S9332. (Explain your answers for each part.) (a) (3 points) How many possible license plates are there that have at least one even number and at least one vowel? (b) (3 points) Since O’s and 0’s look similar, in some states, a valid license plate cannot have both an O and a 0. How many such 7-character license plates are there? (c) (3 points) How many possible 7-character license plates are there such that the first 3 characters are 3 distinct digits in increasing order and the remaining 4 characters are 4 distinct letters in alphabetical order? (d) (3 points) There is a particular 4-letter word that is not allowed on any license plate. (Let’s pretend that the word is MATH.) How many 7-character license plates avoid the word MATH? (e) (3 points) How many different 7-character license plates avoid having 2 digits in a row?
Mathematics
1 answer:
yanalaym [24]3 years ago
4 0

Answer:

Professor Jones won't be too happy to see this.

Step-by-step explanation:

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umka2103 [35]

Answer:

The correct answer is the last option.

Step-by-step explanation:

When you have a fraction with complex numbers, the first step to simplify is to multiply up and down the conjugate of the denominator, this will eliminate the complex part of the denominator, and in this way you can separate the expression in its real and complex part.

For the expression:

\frac{3 + 2i}{4-2i
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The denominator conjugate is 4 + 2i

When multiplied, the denominator is:

4 ^ 2 -4i ^ 2 = 16 -4 (-1) = 20

4 0
3 years ago
Find the perimeter of a parallelogram whose base is 8cm and another side is 12cm
lidiya [134]

A parallelogram

P=2(a+b)

The answer is 64

P=2(a+b)=2·(24+8)=64

6 0
3 years ago
5. A bag contains 46 blue ballons, 30 red ballons, and 24 purple ballons.
alina1380 [7]

Answer:

19 out of 25

Step-by-step explanation:

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Divide 76/100= 19/25

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3 years ago
Can someone solve this problem
mina [271]

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y = -2x + 5

Step-by-step explanation:

slope-intercept form: y = mx + b

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2 years ago
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storchak [24]

Answer:

5

Step-by-step explanation:

The radius is 5.

All I do was think of the center-radius form a circle

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(x-0)^2+(y-0)^2=5^2

The center is (0,0) and the radius is 5.

So a point on the circle (x,y) has a distance of 5 from the center

and the center's case here is (0,0).

3 0
2 years ago
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