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3 years ago

A number when written in decimal form repeats or terminates

1 answer:

7 0

When we make a decimal out of a fraction, one of two things happens. It either terminates (comes to an end) or repeats (goes on forever in a pattern). Terminating rational numbers include:

1/2 = 0.5

1/8 = 0.125

3/20 = 0.15

9/160 = 0.05625

Repeating rational numbers include:

1/3 = 0.333333333333333333333333333333333333…

1/7 = 0.142857142857142857142857142857142857…

1/11 = 0.090909090909090909090909090909090909…

1/15 = 0.066666666666666666666666666666666666…

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4 years ago

Rewrite the fractions 3/4 and 5/16 as fractions with a least common denominator.

nata0808 [166]

Answer:

12/16 and 5/16

Step-by-step explanation:

We are given two fractions with denominator 4 and 16.

To find the least common denominator, of 4 and 16.

Factorise 4 and 16.

4 = 2x2

16 = 2x2x2x2

i.e. 4 divides 16.

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Make the given fractions to equivalent fractions with common denominator 16.

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12/16 and 5/16

6 0

3 years ago

Read 2 more answers

Which of the following illustrates a phase shift?

Natasha_Volkova [10]

Answer:

A. y = -2 - cos(x-π)

Explanation:

The general form of the trig equation is:

y = A sin (Bx + C) + D

where:

A is the amplitude

$\frac{2\pi}{B}$ is the period

$\frac{-C}{B}$ is the phase shift

D is the vertical shift

Now, let's check the choices:

A. y = -2 - cos(x-π)

$\frac{-C}{B} = \frac{\pi}{1} = \pi$

Therefore, the function has a phase shift of π

B. y = 3 cos(4x)

$\frac{-C}{B} = \frac{0}{4} = 0$

Therefore, the function has no phase shift

C. y = tan(2x)

$\frac{-C}{B} = \frac{0}{2} = 0$

Therefore, the function has no phase shift

D. y = 1 + sin(x)

$\frac{-C}{B} = \frac{0}{1} = 0$

Therefore, the function has no phase shift

Based on the above, the correct answer is A

Hope this helps :)

3 0

3 years ago

Read 2 more answers