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2 years ago

40+40x0+1= a.81 b.21 c.41

Mathematics

1 answer:

inn [45]2 years ago

5 0

Answer:

C.41

Step-by-step explanation:

Thats the answer!!

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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.

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3 years ago

Consider cases where the number of withholding allowances is less than 6. Which will cause the amount of federal income tax with

Elis [28]

Answer:

Step-by-step explanation:

i hope it helps

#CarryOnLearning

7 0

3 years ago

I don't understand this

timama [110]

The product of 0.02 and 0.7 is 0.014. Notice the additional zero in the number 0.'0'2. Product is the total of two numbers multiplied or times (x).

This is the solution:
0.02
0.7
____
0.014

So the right answer is A. 0.014.

7 0

3 years ago

Read 2 more answers

If you pass a road test, you will get your drivers license. Tamara passed her road test

nadya68 [22]

Answer:

this isn't a specific question you need to be more specific

Step-by-step explanation:

4 0

3 years ago

Two physics questions for 80 points! + Brainliest answer :)

Vikki [24]

Answer: Option A

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the light will be reflected by the same angle as it was incidented. The angle of incidence can be defined as the angle by which the light ray falls on the surface of the mirror.

The angle by which the light reflects back is known as the angle of reflection. Being a smooth surface light ray is reflected back.

7 0

3 years ago