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Anvisha [2.4K]
2 years ago
7

Help for question 7 please

Mathematics
2 answers:
Gelneren [198K]2 years ago
8 0
Remember that i² = -1. Your expression can be rewritten as
  -3×*(i²)² +2i×(i²) +2×(i²) +√(9×(i²))
  = -3×(-1)² +2i×(-1) +2×(-1) +√((3i)²)
  = -3 -2i -2 +3i
  = -5 +i . . . . . . . . . . . . matches the 1st selection
scoray [572]2 years ago
7 0
◆ COMPLEX NUMBERS ◆

given \: expression \: is \: - \\ \\ - 3 {i}^{4} + 2 {i}^{3} + 2 {i}^{2} + \sqrt{ - 9} \\ \\ we \: know \: that \: , \: \\ i = \sqrt{ - 1} \\ \\ {i}^{2} = - 1 \\ \\ {i}^{3 } = - i \\ \\ {i}^{4} = 1 \\ \\ \\ - 3 {i}^{4} + 2 {i}^{3} + 2 {i}^{2} + \sqrt{9} i \\ = - 3 {i}^{4} + 2 {i}^{3} + 2 {i}^{2} + 3i \\ \\ using \: the \: above \: properties \: of \: iota \: (i) \\ \\ = - 3(1) + 2( - i) + 2( - 1) + 3i \\ \\ = - 3 - 2i - 2 + 3i \\ \\ = (- 5 + i) \: \: \: ans.
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30 Points! please help!
SVEN [57.7K]

Answer:

18) 4 * 10 ^ -10

19) t ^ 9

Step-by-step explanation:

18. When multiplying in scientific notation, just multiply the regular numbers together and add the exponents for the tens.

So it'll be 40 * 10^-11

However, the beginning number should have the decimal right after the 4, not any place after (for example, it's 3.056, not 30.56 or 3056.)

To fix this, move the decimal place forward one space from 40. to 4.0, and add 1 to the -11 power.

So the answer is now 4 * 10^-10

19. When dividing exponents, if the base number is the same, you can divide. (Basically, you can not divide x^2 and y^3 because x and y aren't the same)

Since in this case it's t, you can divide.

Dividing exponents is simple: just subtract them.

14 - 5 = 9

so the answer is t ^ 9

3 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Katena32 [7]

Answer:

(a)

5^{-3}=\frac{1}{125}

(b)

-5^{-3}=-\frac{1}{125}

(c)

(-5^{-3})^{-1}=-125

(d)

(-5^{-3})^{0}=1

Step-by-step explanation:

(a)

5^{-3}

we can use property of exponent

a^{-n}=\frac{1}{a^n}

we get

5^{-3}=\frac{1}{5^3}

5^{-3}=\frac{1}{5\times 5\times 5}

5^{-3}=\frac{1}{125}........Answer

(b)

-5^{-3}

we can use property of exponent

a^{-n}=\frac{1}{a^n}

we get

-5^{-3}=-\frac{1}{5^3}

-5^{-3}=-\frac{1}{5\times 5\times 5}

-5^{-3}=-\frac{1}{125}........Answer

(c)

(-5^{-3})^{-1}

we can use property of exponent

(a^{n})^m=a^{m\times n}

we get

(-5^{-3})^{-1}=(-5)^{-3\times -1}

(-5^{-3})^{-1}=(-5)^3

(-5^{-3})^{-1}=(-5)\times (-5)\times (-5)

(-5^{-3})^{-1}=-125........Answer

(d)

(-5^{-3})^{0}

we can use property of exponent

(a^{n})^m=a^{m\times n}

we get

(-5^{-3})^{0}=(-5)^{-3\times 0}

(-5^{-3})^{-1}=(-5)^0

we can use property

a^0=1

(-5^{-3})^{0}=1........Answer

4 0
2 years ago
What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)?<br><br> (<br> ,<br> )
irakobra [83]

Answer:

⅞2781x 3862

Step-by-step explanation:

i don't know but that is my answer ok kayat taposin Mona ang module mo

7 0
3 years ago
Read 2 more answers
Can anyone help me? I'm not getting anywhere!!
hram777 [196]
To analyze [insert whatever box and whisker plot does] and compare.
7 0
3 years ago
Question 18<br> Calculate the mean 12, 2, 9, <br><br> 12, 10
kramer

Answer: 9

Step-by-step explanation:

first u have to add up all the numbers "12 + 2 + 9 + 12 + 10" and that's 45 then u have to divide by how many numbers there are, so there's 5 numbers. ur dividing "45/5" which is 9 so the mean is 9

mark as brainly plss

6 0
3 years ago
Read 2 more answers
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