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3 years ago

13

Round to the nearest tenth 20.3

2 answers:

creativ13 [48]3 years ago

8 0

The answer is 20 because 3 is closer t 1 than 10

laila [671]3 years ago

8 0

The answer is 20 because .3 is in the tenth a place and rounds down to 0.

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Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?

vichka [17]

Answer:

The expression $-1+14i$ represents the number $2i^4-5i^3+3i^2+\sqrt{-81}$ rewritten in a+bi form.

Step-by-step explanation:

The value of $i$ is $i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4}$ in term of $i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}$

Substituting the value,

$i^{4}=\left(-1\right)\times \left(-1\right)$

Product of two negative numbers is always positive.

$\therefore i^{4}=1$

Now $i^{3}$ in term of $i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i$

Substituting the value,

$i^{3}=\left(-1\right)\times i$

Product of one negative and one positive numbers is always negative.

$\therefore i^{3}=-i$

Now $\sqrt{-81}$ can be written as follows,

$\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}$

Applying radical multiplication rule,

$\sqrt{ab}={\sqrt{a}}\sqrt{b}$

$\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}$

Now, $\sqrt{\left(81\right)=9$ and $\sqrt{-1}}=i$

$\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i$

Now substituting the above values in given expression,

$2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i$

Simplifying,

$2+5i-3+9i$

Collecting similar terms,

$2-3+5i+9i$

Combining similar terms,

$-1+14i$

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

5 0

3 years ago

What is 1163853739x948096388

Free_Kalibri [48]

Standard calculator will tell you that this is <span>1.1034455e+18 If that makes sense</span>

5 0

3 years ago

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Find the distance between<br> (-2, 4) and (-5, -6).

torisob [31]

Answer:

7.21

Step-by-step explanation:

use pythagoream theroem

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2 years ago

Increase £139 by 28%<br> Give your answer rounded to 2 DP

Elis [28]

Answer:

£177.92

Step-by-step explanation:

To increase something by 28% would be to multiply the original value by 1.28:

So to increase £139 by 28%, we do:

£139 × 1.28 = £177.92

So this is our final answer

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2 years ago

More Questions! Enjoy!

vladimir1956 [14]

Answer:

1. ?

2. 1/10

3. 1/8

Step-by-step explanation:

number 3 result in decimals is 0.125

7 0

3 years ago

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