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3 years ago

What expression is equivalent to 4 + 2(3 + 5 exponent 2 - 6)?

Mathematics

1 answer:

Fynjy0 [20]3 years ago

4 0

Answer:

A. 48

Step-by-step explanation:

4 + 2(3 + 25 - 6) =

4 + 2(28 - 6) =

4 + 2 x 22 =

4 + 44 =

Hope that helps!

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If z1= 3+3i and z2=7(cos(5pi/9) + i sin (5pi/9)), then z1/z2= blank

mixas84 [53]

$z1=\stackrel{a}{3}+\stackrel{b}{3}i~~ \begin{cases} r = \sqrt{a^2+b^2}\\ r = \sqrt{18}\\[-0.5em] \hrulefill\\ \theta =\tan^{-1}\left( \frac{b}{a} \right)\\ \theta =\frac{\pi }{4} \end{cases}~\hfill z1=\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right] \\\\[-0.35em] ~\dotfill$

$\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right]} {7\left[\cos\left( \frac{5\pi }{9} \right) i\sin\left( \frac{5\pi }{9} \right) \right]} \\\\[-0.35em] ~\dotfill\\\\ \qquad \textit{division of two complex numbers} \\\\ \cfrac{r_1[\cos(\alpha)+i\sin(\alpha)]}{r_2[\cos(\beta)+i\sin(\beta)]}\implies \cfrac{r_1}{r_2}[\cos(\alpha - \beta)+i\sin(\alpha - \beta)] \\\\[-0.35em] ~\dotfill$

$\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{\pi }{4}-\frac{5\pi }{9} \right)+i\sin\left( \frac{\pi }{4}-\frac{5\pi }{9} \right) \right] \\\\\\ \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{-11\pi }{36} \right) +i\sin\left( \frac{-11\pi }{36} \right) \right]\implies \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{83\pi }{36} \right) +i\sin\left( \frac{83\pi }{36} \right) \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{z1}{z2}\approx 0.348~~ + ~~0.496i~\hfill$

6 0

3 years ago

Hugo and Viviana work in an office with eight other coworkers. Out of these 10 workers, their boss needs to choose a group of fo

Doss [256]

Answer:182 ways

Step-by-step explanation:

Given

there are total of 10 workers in office

No of ways to select 4 workers out of 10 workers $=^{10}C_4$

$=\frac{10\times 9\times 8\times 7}{4\times 3\times 2\times 1}=210$

(b)If hugo and Viviana refuse to work together then

then no of ways in which hugo anf Viviana work together

$=^{8}C_2=28$

Therefore total no of ways in which Hugo and Viviana do not work together is $=210-28=182\ ways$

3 0

4 years ago

When an elderly man passed away, he had left each of his 4 children 25% of his estate. If he had $72,000, how much did each chil

lbvjy [14]

Each child would receive $18,000

4 0

4 years ago

I will give you brainiest what is 3+3 go fast and what is 4+4

lina2011 [118]

Answer:

3+3=6 , 4+4=8

Step-by-step explanation: Brainliest pls

5 0

3 years ago

Joshua spent 3/7 of his money on souvenirs on his vacation. He has $16 left. How many did he spent on souvenir

luda_lava [24]

Let us assume the total amount of money Joshua had = x
Amount of money Joshua had left after spending on souvenir = $16
Then
(3x/7) + 16 = x
3x + 112 = 7x
112 = 7x - 3x
112 = 4x
x = 112/4
   = 28
Now
The amount of money spent on souvenir = (3/7) * 28
   = 3 * 4 dollars
   = 12 dollars
So the total amount of money spent on souvenirs by Joshua is $12

7 0

3 years ago

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