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3 years ago

When would a power raised to an exponent of zero equal 1? How about -1?

1 answer:

4 0

Any number with an exponent of 0 would equal 1 no matter the number is negative or positive.If i didn't answer your question just comment back.

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John traveling to a meeting that is the 28 miles away he needs to be there in 30 min,how fast does he need to go to make it to t

Degger [83]

Answer:

30 mph

Step-by-step explanation:

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3 years ago

Six is less than or equal to the sum of a number n and 15

Debora [2.8K]

Answer:

6(less than or equal sign) n+15

Step-by-step explanation:

the less than or equal sign is a less than sign with one line under it

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3 years ago

Find the complex fourth roots of 81(cos(3pi/8) + i sin(3pi/8))

BartSMP [9]

By using De Moivre's theorem:

If we have the complex number ⇒ z = a ( cos θ + i sin θ)
∴ $\sqrt[n]{z} = \sqrt[n]{a} \ (cos \ \frac{\theta + 360K}{n} + i \ sin \ \frac{\theta +360k}{n} )$
k= 0, 1 , 2, ..... , (n-1)

For The given complex number ⇒ z = 81(cos(3π/8) + i sin(3π/8))


Part (A) find the modulus for all of the fourth roots

∴ The modulus of the given complex number = l z l = 81

∴ The modulus of the fourth root = $\sqrt[4]{z} = \sqrt[4]{81} = 3$

Part (b) find the angle for each of the four roots

The angle of the given complex number = $\frac{3 \pi}{8}$
There is four roots and the angle between each root = $\frac{2 \pi}{4} = \frac{\pi}{2}$
The angle of the first root = $\frac{ \frac{3 \pi}{8} }{4} = \frac{3 \pi}{32}$
The angle of the second root = $\frac{3\pi}{32} + \frac{\pi}{2} = \frac{19\pi}{32}$
The angle of the third root = $\frac{19\pi}{32} + \frac{\pi}{2} = \frac{35\pi}{32}$
The angle of the fourth root = $\frac{35\pi}{32} + \frac{\pi}{2} = \frac{51\pi}{32}$

Part (C): find all of the fourth roots of this

The first root = $z_{1} = 3 ( cos \ \frac{3\pi}{32} + i \ sin \ \frac{3\pi}{32})$
The second root = $z_{2} = 3 ( cos \ \frac{19\pi}{32} + i \ sin \ \frac{19\pi}{32})$

The third root = $z_{3} = 3 ( cos \ \frac{35\pi}{32} + i \ sin \ \frac{35\pi}{32})$
The fourth root = $z_{4} = 3 ( cos \ \frac{51\pi}{32} + i \ sin \ \frac{51\pi}{32})$

7 0

4 years ago

Can someone please help??

mel-nik [20]

Answer:

Step-by-step explanation:

si... yono em usho de cmopu preo sloo estoy usand una jjssjsjsj jsjsj c

4 0

3 years ago

How do you solve this?

ohaa [14]

-7x -7y = 21
Y = 6

Since they are giving you the value of 6 you just plug it in the equation

-7x - 7(6) = 21
-7x - 42 = 21
+ 42. +42

-7x = 63
/-7. /-7

X = -9

7 0

3 years ago

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