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alexira [117]
3 years ago
5

List all of the possible rational roots.

Mathematics
2 answers:
tatuchka [14]3 years ago
6 0

Answer:

Step-by-step explanation:

Iteru [2.4K]3 years ago
3 0

Answer:

are you serious about this question man

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Trigonometric question, 30 points, will give brainliest.
zheka24 [161]

hmmm first off let's convert the √3 +i to trigonometric form, and then use De Moivre's root theorem, bearing in mind that √3 and i or 1i are both positive, meaning we're on the I Quadrant.

\bf (\stackrel{a}{\sqrt{3}}~,~\stackrel{b}{1i})\qquad \begin{cases} r=&\sqrt{(\sqrt{3})^2+1^2}\\ &\sqrt{3+1}\\ &2\\ \theta =&tan^{-1}\left( \frac{1}{\sqrt{3}}\right)\\\\ &tan^{-1}\left( \frac{\sqrt{3}}{3} \right)\\ &\frac{\pi }{6} \end{cases}~\hfill \implies ~\hfill 2\left[ cos\left( \frac{\pi }{6}\right) +i~sin\left( \frac{\pi }{6}\right) \right]

\bf ~\dotfill\\\\ \qquad \textit{power of two complex numbers} \\\\\ [\quad r[cos(\theta)+isin(\theta)]\quad ]^n\implies r^n[cos(n\cdot \theta)+isin(n\cdot \theta)] \\\\[-0.35em] ~\dotfill

\bf \left[ 2\left[ cos\left( \frac{\pi }{6}\right) +i~sin\left( \frac{\pi }{6}\right) \right] \right]^3\implies 2^3\left[ cos\left( 3\cdot \frac{\pi }{6}\right) +i~sin\left( 3\cdot \frac{\pi }{6}\right) \right] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 8\left[cos\left( \frac{\pi }{2} \right) +i~sin\left( \frac{\pi }{2} \right) \right]~\hfill

3 0
4 years ago
What is the sum of the of the infinite geometric series 0.7+0.07+0.007+...?
andrew11 [14]

Answer:

a

Step-by-step explanation:

hope it works out for you

please mark brainiest

7 0
3 years ago
What’s the answer to this ? I can’t find it out
olya-2409 [2.1K]

The problem is confusing because the words (and question marks) are not consistently used. Let's do this:

... (cooler price) + (tax on the cooler) = (total bill)

The <em>cooler price</em> is 100% of the cooler price.

The <em>tax on the cooler</em> is 6% of the cooler price.

The total bill is the total of these:

... (100% × (cooler price)) + (6% × (cooler price)) = (total bill)

Using the distributive property, we can factor out (cooler price) to get ...

... (100% + 6%) × (cooler price) = (total bill)

Adding the numbers together, we have

... (106%) × (cooler price) = (total bill)

_____

There are two question marks in the addition problem, and each gets a different number. I can't tell from the portion of the picture here what the expected answer is. (I suspect it may be 106%.) I can tell you ...

... 100% of cooler price

... + 6% of cooler price (tax)

... = 106% of cooler price (total bill, $7.95)

== == == == == == == ==

In problems involving retail sales, the term "cost" is usually used to mean the amount the retailer paid his supplier for the item. Here, that term seems to be used interchangeably with the term "price" to refer to the sticker price on the item in the store.

3 0
3 years ago
Estimate the solution of the equation x – 8.1 = 5.3 to the nearest whole number.
Art [367]

Answer:

13 is your answer

Step-by-step explanation:

x - 8.1 = 5.3

  +8.1    +8.1         Add 8.1 to both sides

x     =     13.4

Which if you want the whole number i'd be 13, Because if your rounding the 3, 4 won't bump the 3 up any because 4 isn't greater than 5.

Hope my answer has helped you!

7 0
3 years ago
Read 2 more answers
A quadratic equation is shown below:
mylen [45]
The radicand of a quadratic is b^2-4ac.

If it is greater than zero, there are two real solutions

If it is equal to zero, there is one real solution

If it is less than zero, there are no real solutions (though there are two imaginary solutions)

In this case the discriminant is 256-2160 so it is less than zero.

Therefore there are no real solutions, though there are two imaginary solutions, specifically (16±i√-1904)/18
4 0
3 years ago
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