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lidiya [134]
1 year ago
10

Which of the following fractions have repeating decimal representations? Which have terminating decimal representations?

Mathematics
1 answer:
natali 33 [55]1 year ago
7 0

Repeating decimal representation will be 3/13, 7/24. Terminating decimal representation will be 3/16, 4/125.

<h3>What is decimal?</h3>

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The base-10 number system, arguably the most widely used number system, is referred to as decimal. The decimal number system consists of ten single-digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. The number following nine is 10.

Here,

Repeating decimal representation,

=3/13, 7/24

Terminating decimal representation,

=3/16, 4/125

3/13 and 7/24 will be repeated in decimal form. The final two decimal places are 3/16 and 4/125.

To know more about decimal,

brainly.com/question/25903211

#SPJ1

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Answer:

a_n = 2^(n - 1) 3^(3 - n)


Step-by-step explanation:

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a1 = 3^2

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We need to play with the exponent in terms of n

Lets look at the exponent for the base of 2

a1 = 3^2  2^0

a2 = 3^1   2^1

a3 =    3^ 0 2^2

an =   3^      2^(n-1)

I picked n-1  because that is where it starts  0

 n = 1   (1-1) =0

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Now we need to figure out the exponent for the 3 base

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n =1  (3-1) =2

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3 years ago
Sam the Hummingbird flies at a rate of 2 yards per minute, as modeled by the equation y = 2x. She
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Answer:

See attachment for plot

Step-by-step explanation:

Given

y =2x

R =+2 --- increment in the rate

First, we need to model the new rate

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Compare y =2x and y = mx + b. we have:

m =2

The above represents the previous rate.

The new rate:

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Rewrite as:

R = m+2

R = 2+2

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So, the model is:

y = Rx

y = 4x

<u>The plot at 1 and 2 minutes</u>

When x = 1

y = 4x = 4 * 1 = 4

When x = 2

y = 4x = 4 * 2 = 8

So, we have:

(x_1,y_1) =(1,4)

(x_2,y_2) =(2,8)

<em>Whether she moves backwards or forward, the distance covered remains the same</em>

<em>See attachment for plot</em>

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