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3 years ago

A plane flies 15 miles in 20 seconds. How long would it take the plane to cover 30 miles?

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

6 0

Answer:it would take the plane 40 seconds

Step-by-step explanation:

if you multiply by two then you would be able to get 30

like 15 times 2 and since it’s 15 miles to 20 seconds or 15:20 you would have to multiply by the same number.

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Test the series for convergence or divergence (using ratio test)

Triss [41]

Answer:

$\lim_{n \to \infty} U_n =0$

Given series is convergence by using Leibnitz's rule

Step-by-step explanation:

Step(i):-

Given series is an alternating series

∑ $(-1)^{n} \frac{n^{2} }{n^{3}+3 }$

Let $U_{n} = (-1)^{n} \frac{n^{2} }{n^{3}+3 }$

By using Leibnitz's rule

$U_{n} - U_{n-1} = \frac{n^{2} }{n^{3} +3} - \frac{(n-1)^{2} }{(n-1)^{3}+3 }$

$U_{n} - U_{n-1} = \frac{n^{2}(n-1)^{3} +3)-(n-1)^{2} (n^{3} +3) }{(n^{3} +3)(n-1)^{3} +3)}$

Uₙ-Uₙ₋₁ <0

Step(ii):-

$\lim_{n \to \infty} U_n = \lim_{n \to \infty}\frac{n^{2} }{n^{3}+3 }$

$= \lim_{n \to \infty}\frac{n^{2} }{n^{3}(1+\frac{3}{n^{3} } ) }$

= $= \lim_{n \to \infty}\frac{1 }{n(1+\frac{3}{n^{3} } ) }$

$=\frac{1}{infinite }$

$\lim_{n \to \infty} U_n =0$

∴ Given series is converges

3 0

3 years ago

A sports team donates 252 tickets to a sporting event, with tickets to be shared equally among 9 classrooms. How many tickets do

Tcecarenko [31]

Answer:

28 tickets

Step-by-step explanation:

252/9=28

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3 years ago

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skelet666 [1.2K]

Answer: The answer is the first one, angle JLK

Step-by-step explanation:

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3 years ago

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Ann [662]

Answer:

X = 4

Step-by-step explanation:

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2 years ago

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forsale [732]

Hi, I'd be glad to help you with this equation!

The answer is (9)

Hope this helps.
Have a great day!

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3 years ago