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3 years ago

Does anyone know the answer?

Mathematics

1 answer:

marishachu [46]3 years ago

5 0

Hey there!

$6^-^2 = \frac{1}{6(6)} = \frac{1}{(-6)^2} \\ \\ \\ \\ \\ = Answer: \frac{1}{36} \\ \\ \\ \\ \\ Good \\ Luck \\ on \\ your \\ assignment \\ \\ \\ \\ LoveYourselfFirst:)$

Note: just solve the exponent then work it out from there!

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All possible solutions for 6sin^2(3x)=-3

vova2212 [387]

Answer:

Please check the step-by-step explanation for the answer.

Step-by-step explanation:

Considering the trigonometric expression

$6sin^2\left(3x\right)=-3$

Steps

$\mathrm{Let:\:}\sin \left(3x\right)=u$

$6u^2=-3$

$\mathrm{Divide\:both\:sides\:by\:}6$

$\frac{6u^2}{6}=\frac{-3}{6}$

$u^2=-\frac{1}{2}$

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$u=\sqrt{-\frac{1}{2}},\:u=-\sqrt{-\frac{1}{2}}$

$\mathrm{Simplify}\:\sqrt{-\frac{1}{2}}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt{-a}=\sqrt{-1}\sqrt{a}$

$=\sqrt{-1}\sqrt{\frac{1}{2}}$

$\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i$

$=i\sqrt{\frac{1}{2}}$

Similarly,

$-\sqrt{-\frac{1}{2}}=\quad -i\sqrt{\frac{1}{2}}$

So,

$u=i\sqrt{\frac{1}{2}},\:u=-i\sqrt{\frac{1}{2}}$

$\mathrm{Substitute\:back}\:u=\sin \left(3x\right)$

$\sin \left(3x\right)=i\sqrt{\frac{1}{2}},\:\sin \left(3x\right)=-i\sqrt{\frac{1}{2}}$

So,

$\sin \left(3x\right)=i\sqrt{\frac{1}{2}}\quad :\quad \mathrm{No\:Solutions}$

and

$\sin \left(3x\right)=-i\sqrt{\frac{1}{2}}\quad :\quad \mathrm{No\:Solutions}$

$\mathrm{Combine\:all\:the\:solutions}$

$\mathrm{No\:Solution\:for}\:x\in \mathbb{R}$

Keywords: trigonometric equation, solution

Learn more about trigonometric equation solution from brainly.com/question/1687218

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5 0

4 years ago

7.8number 14 please help it’s due in tomorrow and I really don’t want a detention

Delvig [45]

The filled in dot means inclusive and the hallow dot means exclusive. For an inequality, inclusive will mean it can be equal to that number as well as being less or greater than. Exclusive means the opposite.
In terms of x, the number line shows that -2 <= x < 2.

7 0

4 years ago

Please answer correctly !!!!!!!!!! Will mark brianliest !!!!!!!!!!!!

Inessa05 [86]

Answer:

Step-by-step explanation:

4×4=16

so the answer is 16

i hope this is correct and it helps

4 0

3 years ago

Mr. Garcia deposited $2,500 in a new account at his bank.

7nadin3 [17]

Answer:

$2,825.00

Step-by-step explanation:

First, I found out what 6.5% of 2,500 is, so 6.5% x 2,500 = 162.5 . Then I did 162.5 x 2, which equals 325. I then added 325 to 2,500 and got 2,825.

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3 years ago

Which of the following is equivalent to the complex number i^54?

Vitek1552 [10]

Answer:

c) - 1

Step-by-step explanation:

i^54 =
(i^2)^27 =
(-1)^27 =
-1

Correct option is c)

7 0

4 years ago

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