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3 years ago

1 quarter 2 dimes 3 pennies how munch I have

Mathematics

1 answer:

vfiekz [6]3 years ago

8 0

In total, you have 48 cents.
25+10+10+3= 48

Give 5 stars and brainliest answer if this helped please!

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Sadie has $1 worth of nickels and dimes. She has twice as many nickels as dimes. Write a system of equations that could be used

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N + 2d =1
This is the system of equations because it is 2 times more than nickels

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3 years ago

Negative seven times a number is negative two hundred forty five. what is the number?

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Step-by-step explanation:

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2 years ago

Planes A and B intersect. Vertical plane B intersections horizontal plane A at line k. Line k contains points Y and Z. Line m in

maxonik [38]

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Step-by-step explanation:

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3 years ago

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2 years ago

Read 2 more answers

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

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2 years ago