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Marat540 [252]
3 years ago
13

What's 32 to the power of negative 2/5

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0
32^{-\frac{2}{5}}=\sqrt[5]{32}^{-2}=2^{-2}=(\frac{1}{2})^2=\frac{1}{4}
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Q7 Q26.) Find the quotient of the complex numbers and leave your answer in polar form.
irina [24]

To divide complex numbers in polar form, divide the r parts and subtract the angle parts. Or


<span><span><span><span>r2​</span><span>(<span>cos<span>θ2​ </span>+ i</span> sin<span>θ2​</span>) / </span></span><span><span>r1​</span><span>(<span>cos<span>θ1 </span>+ i</span> sin<span>θ1​</span>)</span></span></span>​</span> <span>= <span><span><span>r2/​</span><span>r1​</span></span>​</span><span>(cos(<span><span>θ2</span>−<span>θ1​) </span></span>+ i sin(<span><span>θ2​</span>−θ1)</span><span>)
</span></span></span>

z1/z2

= 3/7 (cos(π/8-π/9) + i sin(π/8 - π/9))

= 3/7 (cos(π/72) + i sin(π/72))


8 0
3 years ago
Read 2 more answers
A group of retailers will buy 104 televisions from a wholesaler if the price is $300 and 144 if the price is $250. The wholesale
stepladder [879]

Answer:

The required equilibrium point is (356.538,58.769)

Step-by-step explanation:

The two points on your demand equation are : (300,104) and (250,144)

Take the number of televisions on y-axis and the price of the television on x-axis

Now, to find the demand equation for the given problem, find slope using the above two points :

\implies Slope=\frac{144-104}{250-300}\\\\\implies Slope = -\frac{4}{5}=-0.8

And the y - intercept is : y = -0.8x + b

Find the value of b using any point. Let us take (250,144)

144 = -0.8 × 250 + b

⇒ b = 144 + 200

⇒ b = 344

So, the y-intercept is : y = -0.8x + 344

The two points on your supply equation are : (225,88) and (315,68)

Take the number of televisions on y-axis and the price of the television on x-axis

Now, to find the supply equation for the given problem, find slope using the above two points :

\implies Slope=\frac{68-88}{315-225}\\\\\implies Slope = -\frac{2}{9}

And the y - intercept is :

y = -\frac{2}{9}x + b

Find the value of b using any point. Let us take (225,88)

88 = -\frac{2}{9}\times 225 + b\\\\\implies b = 88 + 50\\\\\implies b = 138

So, the y-intercept is :

y = -\frac{2}{9}x + 138

To find the equilibrium point, solve both the y-intercepts of the demand equation and the supply equation :

⇒ x = 356.538 and y = 58.769

Hence, the required equilibrium point is (356.538,58.769)

8 0
2 years ago
I need help on this, can anyone please help me ?
Hoochie [10]

Answer:

I do not know the answer of this question

5 0
3 years ago
Read 2 more answers
Can someone please help me ASAP :)
jeyben [28]
Did this a couple years ago, im kinda lost xD . sorry
4 0
3 years ago
Find the value of y for which the lines are parallel<br><br> a-68<br> b49<br> c55<br> d100
dexar [7]
B. 

You know that the angle formed by 51 and y + 6 is equal to 106 because it needs to be supplementary with the 74. Thus, after subtracting you can get 49.
7 0
3 years ago
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