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julsineya [31]
3 years ago
14

A rational number can be written as the ratio of one blank to another and be represented by a repeating or blank decimal. What a

re the two vocabulary for this sentence?
Mathematics
1 answer:
Makovka662 [10]3 years ago
4 0

The answer is a rational number is one integer divided by another, and can be represented in either decimal of fraction form. The explanation behind this is visualize you are using long division to divide one number by one more.  You divide, and then you acquire a remainder. Then you carry down a zero (multiply by ten) and divide again.  Well, there are only so many balances you could perhaps have.  For example, for 5, your choices are 0, 1, 2, 3, and 4.  Sooner or later, you will replicate a remainder, at which fact you will just keep dividing the same method you did last time you saw that remainder -- and that's the reason why it repeats.

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What is the recursive rule for this geometric sequence? 1/2, -2, 8, -32
Gnesinka [82]

Answer:

see explanation

Step-by-step explanation:

A recursive rule allows us to find the term in a sequence from the previous term.

From the given geometric sequence find r the common ratio

r = \frac{-2}{\frac{1}{2} } = \frac{8}{-2} = - 4

Hence recursive rule is

a_{n+1} = - 4a_{n} ( a₁ = \frac{1}{2} )

4 0
3 years ago
Hello, I really need help with this!
yuradex [85]
1. Given
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5 0
3 years ago
X+2(x+3(x+4(x+5)))=153
Allushta [10]

Answer:

x=1

Step-by-step explanation:

Here first open the inner parentheses and use the distributive property,

4(x+5)=4x+20\\\\(x+4(x+5))=(x+4x+20)=(5x+20)\\\\3(x+4(x+5))=3(5x+20)=15x+60\\\\(x+3(x+4(x+5)))=(x+15x+60)=16x+60\\\\2(x+3(x+4(x+5)))=2(16x+60)=32x+120\\\\x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\\Hence\ x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\Rightarrow 33x+120=153\\\\33x=153-120\\\\33x=33\\\\x=1

3 0
3 years ago
What is the common difference of the arithmetic sequence 1/5, 6/5 , 11/5 ,16/5 , ...?
stepladder [879]
+ 5/5 each time

hope this helps
8 0
3 years ago
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PSYCHO15rus [73]

Answer:

x=3

Step-by-step explanation:

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