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2 years ago

How would you set up question 4?

Mathematics

2 answers:

Pavel [41]2 years ago

5 0

Step-by-step explanation:

please mark me as brainlest

madam [21]2 years ago

4 0

Answer:

hope it's helpful for you

pls mark above guy ans as brainliest

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While waiting for a video game to download, you notice that 30% percent of 32,000 kilobytes have been downloaded so far. How man

DiKsa [7]

32000(0.3)=9,600

9,600 kilobytes have been downloaded so far.

Hope this help!

4 0

3 years ago

Simplify the complex numbers using de Moivre's Theorem and match them with their solutions.

alexandr1967 [171]

For the numbers in $a+bi$ form, convert to polar form:

$1+i=\sqrt2\dfrac{1+i}{\sqrt2}=\sqrt2\left(\cos\dfrac\pi4+i\sin\dfrac\pi4\right)$

By DeMoivre's theorem,

$(1+i)^5=(\sqrt2)^5\left(\cos\dfrac{5\pi}4+i\sin\dfrac{5\pi}4\right)=4\sqrt2\dfrac{-1-i}{\sqrt2}=-4-4i$

$-1+i=\sqrt2\dfrac{-1+i}{\sqrt2}=\sqrt2\left(\cos\dfrac{3\pi}4+i\sin\dfrac{3\pi}4}\right)$

$\implies(-1+i)^6=(\sqrt2)^6\left(\cos\dfrac{18\pi}4+i\sin\dfrac{18\pi}4\right)=8i$

$\sqrt3+i=2\dfrac{\sqrt3+i}2=2\left(\cos\dfrac\pi6+i\sin\dfrac\pi6\right)$

$\implies2(\sqrt3+i)^{10}=2^{11}\left(\cos\dfrac{10\pi}6+i\sin\dfrac{10\pi}6\right)=2^{11}\dfrac{1-i\sqrt3}2=2^{10}(1-i\sqrt3)$

For the numbers already in polar form, DeMoivre's theorem can be applied directly:

$2\left(\cos20^\circ+i\sin20^\circ\right)^3=2\left(\cos60^\circ+i\sin60^\circ\right)=2\dfrac{1+i\sqrt3}2=1+i\sqrt3$

$2\left(\cos\dfrac\pi4+i\sin\dfrac\pi4\right)^4=2(\cos\pi+i\sin\pi)=-2$

At second glance, I think the 2s in the last two numbers should also be getting raised to the 3rd and 4th powers:

$\left(2(\cos20^\circ+i\sin20^\circ)\right)^3=8\left(\cos60^\circ+i\sin60^\circ\right)=4+4\sqrt3$

$\left(2\left(\cos\dfrac\pi4+i\sin\dfrac\pi4\right)\right)^4=16(\cos\pi+i\sin\pi)=-16$

4 0

3 years ago

What is the sum of ¾ + ⅔ in simplist form

natali 33 [55]

Answer:

The answer is 17/12

Step-by-step explanation:

3/4 + 2/3

= 9/12 + 8/12

= 9 + 8/12

= 17/12

7 0

3 years ago

Read 2 more answers

In computer technology, a kilobyte is 2^10 bytes in size. A gigabyte is 2^30 bytes in size. The size of a terabyte is the produc

densk [106]

It will 30*10 so 2^300

4 0

3 years ago

Read 2 more answers

For f(x) = -4x+2 find f(x) when x = -1 A. -2. B. 6 C. -4 D. 2

djverab [1.8K]

Answer:

The answer is letter B which is 6.

f(x) = -4x+2

f(x)=-4(-1)+2

f(x)=4+2

f(x)=6

5 0

2 years ago