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JulsSmile [24]
3 years ago
7

What about repeating decimals? Those are decimals in which a digit or group of digits repeats indefinitely. You might not think

it at first, but all repeating decimals are rational, too.
1
3
​3
​
​1
​​ is a ratio of integers. You probably know that as a decimal,
1
3
​3
​
​1
​​ repeats. It looks like this:

0
.
3
‾
0.
​3
​
​​

Even this crazy number is rational:
0
.
0
3
4
4
8
2
7
5
8
6
2
0
6
8
9
6
5
5
1
7
2
4
1
3
7
9
3
1
‾
0.
​0344827586206896551724137931
​
​​

It is exactly equal to
1
2
9
​29
​
​1
​​ and that's a ratio of integers.

Not all real numbers are rational. Any number that can’t be written as a ratio of integers is an irrational number.

0
.
1
‾
0.
​1
​
​​ is a(n)
A
integer.
B
rational number.
C
irrational number.
D
terminating decimal.
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0

Answer:

true

Step-by-step explanation:

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While training for a marathon, Jeff wants to increase the number of miles he runs each day. On the first day of training, Jeff r
user100 [1]

Answer:

The series is 5 , 6 , 7 , 8 , 9 , 10 , 11

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between

 each two consecutive numbers

- Ex:

# 2  ,  5  ,  8  ,  11  ,  ……………………….  (constant difference is 3)

# 5  ,  10  ,  15  ,  20  ,  …………………………  (constant difference is 5)

# 12  ,  10  ,  8  ,  6  ,  ……………………………  (constant difference is -2)

* General term (nth term) of an Arithmetic series:

- If the first term is a and the common diffidence is d, then

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- So the nth term is Un = a + (n – 1)d, where n is the position of the

 number in the series

* Lets solve the problem

- Jeff wants to increase the number of miles he runs each day

∴ He will add the initial value by constant number each day

- He plans on increasing the number of miles he runs a day by 1

∴ The constant value is 1 mile

-  On the first day of training, Jeff runs 5 miles

∴ The first value is 5 miles

∴ The series is arithmetic

∵ a = 5 , d = 1

- He do that for the remainder of the week

∵ The week has 7 days

∴ The series has 7 terms

∵ The rule of the series is Un = a + (n - 1)d

∵ a = 5 and d = 1

∴ Un = 5 + (n - 1)(1)

∴ Un = 5 + n - 1

∴ Un = 4 + n ⇒ n is the position of the number

- Substitute n from 1 to 7 to find the series

∴ The series is 5 , 6 , 7 , 8 , 9 , 10 , 11

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3 years ago
What is the volume of the right rectangular prism?<br> Area of base = 56 sq ft<br> Need help
Lilit [14]
Step by step: 4 divided by 56

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aniked [119]

Answer: a

Step-by-step explanation: look at the chart

3 0
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