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Lelechka [254]
3 years ago
14

How many 10 digit telephone numbers are possible if the first digit cannot be zero?

Mathematics
1 answer:
lapo4ka [179]3 years ago
4 0

This is a hard one id suggest googling it

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How many terms are in the sequence: 1100, 1135, 1170,.......,3725?
Gennadij [26K]

well, the sequence goes, 1100, to 1135, to 1170.... notice, is simply adding 35 to get the next term, so the common difference is 35, and the first term is 1100 of course.


\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\[-0.5em]
\hrulefill\\
a_1=1100\\
d=35\\
a_n=3725
\end{cases}
\\\\\\
3725=1100+(n-1)35\implies 3725=1100+35n-35
\\\\\\
3725=1065+35n\implies 2660=35n\implies \cfrac{2660}{35}=n\implies 76=n

6 0
3 years ago
Derek had a bill of $29 last month on he Call-a-Lot Plan. How many minutes did he use?
NNADVOKAT [17]
It depends on how much it costed per minute if it was a dollar a minute then it would be 29 minutes
7 0
3 years ago
northside high school is having a spaghetti dinner fundraiser.in order to advertise,students place flyers on neighborhood doors.
Nikolay [14]
2 hours = 60*2 = 120 minutes
120/120 = 1
Margie handed out 1 flyer every minute
Jaxon handed 18/15 = 1.2 flyers per minute
Jaxon is faster then Margie
4 0
4 years ago
Read 2 more answers
A set S of strings of characters is defined recursively by 1. a and b belong to S. 2. If x belongs to S, so does xb. Which of th
alukav5142 [94]

Answer:

a) a

b) ab

e) bbbbb

Step-by-step explanation:

We are given the following in the question:

a, b \in S

x \in S \Rightarrow xb \in S

a) a

It is given that a \in S

b) ab

\text{If }a \in S\\\Rightarrow ab \in S

Thus, ab belongs to S.

c) aba

This does not belong to S because we cannot find x for which xb belongs to S.

d) aaab

This does not belong to S because we cannot find x for which xb belongs to S.

e) bbbbb

\text{If }b \in S\Rightarrow bb \in S\\\text{If }bb \in S\Rightarrow bbb \in S\\\text{If }bbb \in S\Rightarrow bbbb \in S\\\text{If }bbbb \in S\Rightarrow bbbbb \in S

Thus, bbbbb belongs to S.

8 0
3 years ago
What is the standard form of 4 tens+ 6 tens
Allushta [10]
Is100 in standard form
4 0
4 years ago
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