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2 years ago

Radius = 16 in ; height = 27 in

1 answer:

nataly862011 [7]2 years ago

8 0

Assuming that this problem is asking about a cylinder, the volume can be found using the formula (pi)(r)^2 * h (area of the circle * height) and the surface area can be found using the formula (2)(pi)(r)h (circumference of the circle * height).

Volume = (pi)(16)^2 * 27 = 21,714.688 in^3
Surface Area = (2)(pi)(16) * 27 = 2,714.336 in^2

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pychu [463]

Answer:

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3 years ago

Find the generating function for the sequence 1,-2,4,-8, 16, ...

kirill [66]

Answer:

$a(x)=\dfrac{1}{1+2x}$

Step-by-step explanation:

The generating function a(x) produces a power series ...

$a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots$

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

$a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}$

This can be rearranged to ...

$a_n+2a_{n-1}=0$

We can formulate this in terms of a(x) as follows, then solve for a(x).

$\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}$

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3 0

3 years ago

Read 2 more answers

What is his weekly allowance if he ended with $15

zavuch27 [327]

The answer would be x = ,because
x - x/2 + 9 = 15
x/2 + 9 = 15
x/2 = 6
x = 12

Please award Brainiest!!! ☺

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4 years ago

Read 2 more answers

Kevin owed Stevon three dollars. On Friday,Kevin was paid $10. After paying back the $3 debit,how much did kevin have left?

Elena-2011 [213]

10-3equals 7 Kevin will have $7.00 left over after he pays the debt of $3.00 he owes.

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3 years ago

Determine the effective rate for $1 for 1 year at 5.9% compounded quarterly.

kenny6666 [7]

Keeping in mind that the effective rate, is in effect the APY or Annual Percentage Yield,

$\bf \qquad \qquad \textit{Annual Yield Formula}
\\\\
~~~~~~~~~\left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 5.9\%\to \frac{5.9}{100}\to &0.059\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four times}
\end{array}\to &4
\end{cases}
\\\\\\
\left(1+\frac{0.059}{4}\right)^{4}-1\implies (1.01475)^4-1 \approx 0.0603
\\\\\\
0.0603\cdot 100\implies \stackrel{\%}{6.03}$

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3 years ago