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3 years ago

Change the whole number 5 into a mixed fraction

Mathematics

2 answers:

bixtya [17]3 years ago

6 0

2 and 6/2, 3 and 20/10, 4 and 10/5

ollegr [7]3 years ago

4 0

4 5/5; 3 10/5; 2 15/5, 1 20/5.

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finlep [7]

Answer:

A.) you multiply the 3 and 2

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2 years ago

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Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac

Fed [463]

Answer:

$\theta=k\pi, \hspace{3}k\in Z\\\\ or\\\theta =2\pi k \pm arccos(\frac{1 }{8} ), \hspace{3}k\in Z\\$

Step-by-step explanation:

Factor constant terms:

$-2(-4sin(2\theta)+sin(\theta))=0$

Divide both sides by -2:

$sin(\theta)-4sin(2 \theta)=0$

Expand trigonometric functions using the fact:

$sin(2 \theta) =2 sin(\theta) cos(\theta)$

So:

$sin(\theta) -8sin(\theta)cos(\theta)=0$

Factor sin(x) and constant terms and multiply both sides by -1:

$sin(\theta) (8cos(\theta)-1)=0$

Split into two equations:

$(1)=8cos(\theta)-1=0\\\\(2)=sin(\theta)=0$

For (1)

Add 1 to both sides and divide both sides by 8:

$cos(\theta)=\frac{1}{8}$

Take the inverse cosine of both sides:

$\theta =2\pi k \pm arccos(\frac{1 }{8} ), \hspace{3}k\in Z$

For (2)

Simply take the inverse sine of both sides

$\theta = k \pi, \hspace{3}k\in Z$

Therefore, the solutions are given by:

$\theta=k\pi, \hspace{3}k\in Z\\\\ or\\ \theta =2\pi k \pm arccos(\frac{1 }{8} ), \hspace{3}k\in Z\\$

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2 years ago

Decide whether the relation is a function?

Nana76 [90]

Answer:

A property of a function is that it gives one output for an input

if a function gives one output for an input, it is a function and otherwise it is not a function otherwise

here, we can see that we have 2 outputs for the input '6'. therefore, it is NOT a function

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2 years ago

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Answer:

i think ur answer is a im not 100 percent sure let me know if im wrong

Step-by-step explanation:

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Daisy wants to make 12 clay animals to give away as Valentines gifts. Each animal she makes uses 1/2 of a stick of clay. How muc

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Answer:
Daisy will need 6 sticks of clay

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