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Oksi-84 [34.3K]
2 years ago
8

If P(n) and Q(n) are polynomials of degree j and k, respectively, then the series

Mathematics
1 answer:
Naya [18.7K]2 years ago
6 0

Answer:

converges

Step-by-step explanation:

well the two polynomials in the series are 1 and n^8 (I'm assuming the +7 is not in the decimal but it seems to not matter). The degree of the polynomial 1 is 0 which can be represented by 1x^0. The second polynomial in the denominator has a degree of 8. So j = 0  and k = 8. Since 0 < (8-1)

0 < 7 the series converges

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Common household electric current is called alternating current because the current alternates direction within the wires. The v
Rainbow [258]

Answer:

n = 18 cycles

Step-by-step explanation:

To know how many times does the current oscillates in the given time, you take into account that the number of oscillation can be calculated by using the following expression:

n=ft         (1)

f: frequency of the oscillation of the current

t: time = 0.30s

The frequency is the number of cycles per second, that is, f = 60 cycles/s

You replace the values of f and t in the equation (1):

n=(60\frac{cycles}{s})(0.30s)=18\ cycles

In 0.30s the current oscillates 18 times

5 0
3 years ago
Which complex number has a distance of radical 17 from the origin on the complex plane?
Inga [223]

Answer: LAST OPTION

Step-by-step explanation:

The complex numbers shown have the form:

a+bi

By definition, the distance can the distance of the complex number from the origin on the complex plane can be calculated with the formula shown below:

d=\sqrt{a^2+b^2}

Substitute values of each option. Then:

1) d=\sqrt{2^2+15^2}=\sqrt{229}

2) d=\sqrt{17^2+1^2}=\sqrt{290}

3) d=\sqrt{20^2+(-3)^2}=\sqrt{409}

4) d=\sqrt{4^2+(-1)^2}=\sqrt{17} (CORRECT OPTION)

5 0
4 years ago
Read 2 more answers
The perimeter of the triangle below is 99 units. Find the length of side WX.
frez [133]

Answer:

14

Step-by-step explanation:

Perimeter= 99

XV+VW+WX=99

4z+3z+1+z+2=99

8z+3=99

8z= 96

z=96/8

z= 12

WX= z+2= 12+2= 14.

Hope it helps :-)

8 0
3 years ago
3. The roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 m. The slant heigh
Katyanochek1 [597]
C=hypotenuse=slant  height
a=base=radius= 12 m
b=height=16 m
thus the slant height will be:
c^2=16^2+12^2
c^2=256+144
c^2=400
⇒c=sqrt (400)
c=20

<span>Therefore, thaaa answer is 20 
</span>
<span>Hope This Help................ Have A Nice Daaaay! </span>
8 0
3 years ago
How to solve 4(2x-7)-2×=-10 step by step
KATRIN_1 [288]

Answer: x=3

Step-by-step explanation:

4(2x-7)-2x=-10

Multiply 4 with 2x and -7

8x-28-2x=-10

Add like terms which are 8x and -2x

6x-28=-10

Add 28 to both sides so the -28 cancels out

6x=18

Divide both sides by 6 to isolate the x

Answer= x=3

6 0
3 years ago
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