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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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A 2.2 kg ball strikes a wall with a velocity of 7.4 m/s to the left. The ball bounces off with a velocity of 6.2 m/s to the righ
Naya [18.7K]

Answer:

The constant force exerted on the ball by the wall is 119.68 N.

Step-by-step explanation:

Consider the provided information.

It is given that the mass of the ball is m = 2.2 kg

The initial velocity of the ball towards left is 7.4 m/s

So the momentum of the ball when it strikes is = 2.2\times 7.4=16.28

The final velocity of the ball is -6.2 m/s

So the momentum of the ball when it strikes back is = 2.2\times -6.2=-13.64

Thus change in moment is: 16.28-(-13.64)=29.92

The duration of force exerted on the ball t = 0.25 s

Therefore, the constant force exerted on the ball by the wall is:

\frac{29.92}{0.25}=119.68

Hence, the constant force exerted on the ball by the wall is 119.68 N.

6 0
3 years ago
Tanya finds 22 leaves Maurice finds 5 more leaves than Tanya finds how many leaves do the two children find
Mila [183]

Answer:

22 + 27 = <u><em>49</em></u>

<u><em></em></u>

:) :)

8 0
3 years ago
Read 2 more answers
Can anyone help solve question3 the (ii) and the question2 match the following
Trava [24]

Answer:

2.

i) (c)

ii) (d)

iii) (b)

iv) (a)

3.

ii)  80°

Step-by-step explanation:

2.

i) 2x+x+3x=180°

x=30°

ii) x+110=180

x=70

iii) x+2x+30°=180

x=50°

iv) 2x+15°+45°+x=180

3x+60°=180

x=40°

3.

ii) 2x+5+25=180°

2x+30°=180°

x=75°

the measure:  x+5°= 75°+5°=80°

3 0
3 years ago
Proof:
Lapatulllka [165]

Answer:

Option B is correct

\angle 2 = \angle 3

Step-by-step explanation:

Given that:

\angle 1 and \angle 2 are supplementary.

prove that: a || b

It is given that:

\angle 1 and \angle 2 are supplementary.

By definition of supplementary

⇒\angle 1+ \angle 2 =180^{\circ}            .....[1]

From the figure, you can see that:

\angle 1 and \angle 3 are also supplementary.

⇒\angle 1+ \angle 3 =180^{\circ}            .....[2]

By [1] and [2] we have;

⇒\angle 1+ \angle 2=\angle 1+ \angle 3

Simplify:

\angle 2 = \angle 3

Since ∠2 and ∠3 are corresponding angles.

Corresponding angles states when the two lines are parallel, then Corresponding Angles are equal and vice versa.

by definition we have;

a || b                      proved!

7 0
4 years ago
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What is the answer to number 11? please explain step by step
Mars2501 [29]

Answer:

blbl

Step-by-step explanation:

5 0
3 years ago
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