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murzikaleks [220]
1 year ago
12

A valid license plate in Xanadu consists of two capital letters followed by three digits. How many valid license plates are poss

ible
Mathematics
1 answer:
tatiyna1 year ago
8 0

The  valid license plates are possible = 676,000 possibilities

<h3>What is permutation and combination?</h3>

In mathematics, there are two alternative methods for dividing up a collection of components into subsets: combination and permutation. The subset's components can be arranged in any sequence when used together. The subset's components are given in a permutation in a certain order.

<h3>According to the given information:</h3>

There is no prohibition on using the same letters or numbers more than once, therefore all 26 letters of the alphabet and all 10 numerals are permissible choices.

There are 26 options if the initial answer is A:

AA, AB, AC,AD,AE ...................................... AW, AX, AY, AZ.

There are 26 options if the initial answer is B:

BA, BB, BC, BD, BE .........................................BW, BX,BY,BZ

So,

The first letter can be one of 26 options, and the second letter can be one of 26 options. There are a variety of 2 letter combinations, including:

26 x 26 = 676

For the three digits, the same holds true.

The first, second, and third options each have ten options available:

10  × 10 × 10 = 1000

Thus, there are several options for a license plate with two letters and three digits:

26 x 26 x 10  × 10 × 10 =  676,000 possibilities.

The  valid license plates are possible = 676,000 possibilities.

To know more about permutation and combination visit:

brainly.com/question/13387529

#SPJ4

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disa [49]

Answer:

Step-by-step explanation:

Givens

d = 2365 miles

r = 55 miles / hour

t = ?

Formula

d = r * t

Solution

d = r * t

2365 = 55 * t               Divide by 55

2365/55 = t

t = 43 hours.

5 0
2 years ago
Which factored form is equivalent to the expression x^2 + 5x + 4? A) (x + 2)(x + 3) B) (x + 4)(x + 1) C) (x + 5)(x − 1) D) (x −
777dan777 [17]
<h3>Answer ↓</h3>

option B.

Calculations ↓

First, let's think of two numbers so that :

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  • if we add these numbers, we'll get 5

These numbers are :

4 and 1

Plug these numbers here :

(x+4) (x+1)

So the correct factored form of this expression is

Option B) (x+4)(x+1)

\footnotesize\text{hope\:helpful~}}

7 0
2 years ago
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3 years ago
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Write a function with the following characteristics: 1.A vertical asymptote at x = 3 A horizontal asymptote at y = 2 An x-interc
elena-14-01-66 [18.8K]

1. The vertical asymptote requires the denominator have a zero at that location. The x-intercept requires the numerator have a zero at that location. The horizontal asymptote amounts to a multiplier of the function:

... y = 2(x +5)/(x -3)

2. The vertical asymptote requires the denominator have a zero at that location. The oblique asymptote is an add-on

... y = 1/(x +1) +(x +2)

... y = (x² +3x +3)/(x +1)

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2 years ago
A client has orders to receive 2 liters of IV fluid over a 24-hour period with ½ this amount to be infused in the first 10 hours
Tcecarenko [31]

Answer:100 ml/hr

Step-by-step explanation:

client has orders to receive 2 liters of IV fluid over a 24-hour period

½ this amount to be infused in the first 10 hours of treatment = ½ ×2 lires

= 1 litre =1× 000 ml= 1000ml

If 1000 ml is received in 10hrs

x ml will be received in 1 hrs

x = 1× 1000/10

= 100ml per hr

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