If a man is 3 ft tall and casts an 8 foot shadow then how tall is a cat that casts a 18 inch shadowv

1 answer:

6 0

18 inch = 3/2 ft
$\frac{ \frac{3}{2} \times 3 }{8} \\ = \frac{ \frac{9}{2} }{8} \\ = \frac{9}{2} \times \frac{1}{8} \\ = \frac{9}{16}$
Cat tall 9/16 ft = 6.75 inch

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lutik1710 [3]

Answer:

I) 8.760 * 10 ³ hours

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Step-by-step explanation:

1) No. of hours in one year:

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3 years ago

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

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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.