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makvit [3.9K]
4 years ago
15

25 cm of ribbon at £2.20 per metre what is the cost

Mathematics
1 answer:
Step2247 [10]4 years ago
3 0
0.55 pence or quid per 25 centimeters as if you multiply it by 4 it would be 2.20 pound because 1 metre is 100 centimeters after i divide 100 by 25 i get 4 which would be 1/4 which i would then multiply 1/4 x 2.2 pound 
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Find the radius of convergence, r, of the series. ? n2xn 7 · 14 · 21 · ? · (7n) n = 1
defon
I'm guessing the series is supposed to be

\displaystyle\sum_{n=1}^\infty\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}

By the ratio test, the series converges if the following limit is less than 1.

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7\cdot14\cdot21\cdot\cdots\cdot(7n)\cdot(7(n+1))}}{\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}}\right|

The first n terms in the numerator's denominator cancel with the denominator's denominator:

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7(n+1)}}{n^2x^n}\right|

|x^n| also cancels out and the remaining factor of |x| can be pulled out of the limit (as it doesn't depend on n).

\displaystyle|x|\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2}{7(n+1)}}{n^2}\right|=|x|\lim_{n\to\infty}\frac{|n+1|}{7n^2}=0

which means the series converges everywhere (independently of x), and so the radius of convergence is infinite.
3 0
4 years ago
the sum of the digits of two digit number is 10. when 18 is added to the number is digit reversed find and number​
Contact [7]

Answer:

<em>The number is 46</em>

Step-by-step explanation:

<u>Equations</u>

Suppose:

a = One digit of the number

b = Tens digit of the number

The sum of the digits is 10:

a + b = 10

The number expressed as two-digits quantity is ab, and its value is

10a+b

When we add 18 to that number, we have:

10a+b+18

And that is represented as the number reversed:

10a+b+18=10b+a

Simplifying:

9a+18=9b

Dividing by 9:

a + 2 = b

Substituting in the first equation:

a + a + 2 = 10

2a = 8

a = 4

b = a + 2 = 6

Thus the number is 46

4 0
3 years ago
The temperature in some region of Alaska equals 15 F. Convert this temperature to Celsius.
sergij07 [2.7K]
The formula you need to use is C = 5/9•(F - 32)

So take 15 and subtract 32: 15-32 = -17
Then multiply that by 5/9: 5/9•(-17) ≈ -9.44

7 0
3 years ago
What is the volume of the triangle prism
Bezzdna [24]
I think it’s C, 180 cubic cm
6 0
3 years ago
Write two facts that you learned about continuity .
Mashutka [201]

Answer:

As I learned

It makes us success and helps to learn the habit of being patience

It is needed to become experienced and matured,so that while doing the same work again we won't make mistake

8 0
3 years ago
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