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sladkih [1.3K]
2 years ago
14

Which algebraic expression is a polynomial?

Mathematics
1 answer:
lisov135 [29]2 years ago
4 0

Answer:

3m²n

Step-by-step explanation:

polynomials have a degree of 2 or more.

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Find [5(cos 330 degrees + I sin 330 degrees)]^3
earnstyle [38]
Given a complex number in the form:
z= \rho [\cos \theta + i \sin \theta]
The nth-power of this number, z^n, can be calculated as follows:

- the modulus of z^n is equal to the nth-power of the modulus of z, while the angle of z^n is equal to n multiplied the angle of z, so:
z^n = \rho^n [\cos n\theta + i \sin n\theta ]
In our case, n=3, so z^3 is equal to
z^3 = \rho^3 [\cos 3 \theta + i \sin 3 \theta ] = (5^3) [\cos (3 \cdot 330^{\circ}) + i \sin (3 \cdot 330^{\circ}) ] (1)
And since 
3 \cdot 330^{\circ} = 990^{\circ} = 2\pi +270^{\circ}
and both sine and cosine are periodic in 2 \pi,  (1) becomes
z^3 = 125 [\cos 270^{\circ} + i \sin 270^{\circ} ]

6 0
3 years ago
The quotient of three times a number and 6 is equal to the same number less eight
Anna71 [15]

Answer:

3n + 6 - 8

Step-by-step explanation:

3 0
3 years ago
(x+3)(x)(x+2) =1540<br><br>what is x​
sdas [7]

Answer:

its and symobol of an number or letter

5 0
3 years ago
Read 2 more answers
What is six less than three raised to the third power?
Nataliya [291]

Answer:

21

Step-by-step explanation:

Three raise to third power can be written as 3^3. In this three is the base which is raised to third power.

3^3 = 3*3*3 = 27

Next we need to subtract 6 from Three raise to third power(i.e from 27)

which can be written mathematically as

3^3 - 6 = 3*3*3 - 6 \\=> 27 - 6 = 21

Hence 6 less  than three raised to the third power is 21 as explained above.

4 0
3 years ago
Write the volume of a cylinder with a base radius 3 m and height 8 m in terms of pi
IRISSAK [1]

Answer:

72π (in terms of pi)

Step-by-step explanation:

V = π·r²·h

Plug in the values.

V = π·3²·8

Solve.

V = 72π

To leave an equation in terms of pi, just square, multiply, and leave pi at the end.

3² = 9·8 = 72

72π

If you need the answer fully simplified, it is 226.19 (rounded up).

3 0
3 years ago
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