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lorasvet [3.4K]
3 years ago
5

The internal telephone numbers in the phone system on a campus consists of 4 digits, with the 1st not equal to 0. How many diffe

rent numbers can be assigned in this system?
Mathematics
1 answer:
N76 [4]3 years ago
4 0

Answer:

This system have 9000 different numbers.

Step-by-step explanation:

We know that the internal telephone numbers in the phone system on a campus consists of 4 digits, with the 1st not equal to 0.

We have total 10 digits.

In the first place we have 9 possibilities, because from the conditions of the task in the first place there cannot be 0.

In second, third and fourth place we have 10 possibilities.

Therefore, we get

N=9\cdot 10\cdot10 \cdot 10=9000

This system have 9000 different numbers.

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Which of the following is a Recursive Formula for an Arithmetic Sequence?
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The Recursive formula for an Arithmetic Sequence is a1 = -3, an = an-1 + 6.

<h3>What is Arithmetic sequence ?</h3>

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.

Given:

an = -3 + 6(n – 1)

a1= -3

a2= 3

a3 = 9

Here the common difference is 6 and first term is -3

Hence, the recursive formula is a1 = -3, an = an-1 + 6.

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On a coordinate plane, a triangle is reflected across y = negative 2.
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maria [59]

Answer:

Hulian's age is 7.

Thomas's age is 22.

Step-by-step explanation:

Let Hulian = h

Let Thomas = t

Set the system of equation:

h = t - 15

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Plug in t - 15 for h in the second equation:

(t - 15) + t = 29

Simplify. Combine like terms:

2t - 15 = 29

Isolate the variable, t. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 15 to both sides:

2t - 15 (+15) = 29 (+15)

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Divide 2 from both sides:

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Plug in 22 for t in one of the equations:

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