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3 years ago

What is the volume of the cylinder use pie = 3.14 and round to the nearest tenth if needed

1 answer:

7 0

Volume of a cylinder = π · radius(r)² · height(h)

Since you didn't provide the radius or the height, I am unable to provide a solution to this problem but hopefully you can solve it on your own now that you have the formula.

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Re-write the equation without the h component.

levacccp [35]

Answer:

$f(x) = 2[\frac{3^x}{9}] + 2$

$f(x) = 8(4)^x$

Step-by-step explanation:

Given

$f(x) = 2(3)^{x-2} + 2$

$f(x) = \frac{1}{2}(4)^{x+2}$

Required

Remove the h component

In a function, the h component is highlighted as:

$f(x) = a^{x+h}$

So, we have:

$f(x) = 2(3)^{x-2} + 2$

Split the exponents using the following law of indices:

$a^m/a^n = a^{m-n}$

$f(x) = 2*\frac{3^x}{3^2} + 2$

$f(x) = 2*\frac{3^x}{9} + 2$

$f(x) = 2[\frac{3^x}{9}] + 2$

<em>The h component has been removed</em>

$f(x) = \frac{1}{2}(4)^{x+2}$

Split the exponent using the following law of indices

$a^{m+n} =a^m * a^n$

So, we have:

$f(x) = \frac{1}{2}(4)^x * 4^2$

Express 4^2 as 16

$f(x) = \frac{1}{2}(4)^x * 16$

Divide 16 by 2

$f(x) = 8(4)^x$

3 0

3 years ago

The Cinema Center consists of four theaters: Cinemas I, II, III, and IV. The admission price for one feature at the Center is $5

zzz [600]

Answer:

a) Matrix B = $\left[\begin{array}{c}5\\7\\9\end{array}\right]$

b) Matrix AB = $\left[\begin{array}{c}2525\\3620\\2845\\3705\end{array}\right]$

c) $12,695

Step-by-step explanation:

Matrix A = $\left[\begin{array}{ccc}225&110&70\\95&160&225\\280&65&110\\0&240&225\end{array}\right]$

a) Matrix B = $\left[\begin{array}{c}5\\7\\9\end{array}\right]$

Gross Receipt = AB

$\left[\begin{array}{ccc}225&110&70\\95&160&225\\280&65&110\\0&240&225\end{array}\right]$ . $\left[\begin{array}{c}5\\7\\9\end{array}\right]$ = $\left[\begin{array}{c}2525\\3620\\2845\\3705\end{array}\right]$

c) Total revenue is the sum of receipts from 4 cinemas given in part b

Hence,

Total revenue = $2525 + $3620 + $2845 + $3705 = $12,695

3 0

3 years ago

I)3 by x-1=4 by x+1<br>ii)X by 2-Xby3=2

Lena [83]

Answer:

Hey blinkkkkkkkkkkkkk

3 0

2 years ago

What are the exact solutions of x2 - 5x - 1 = 0?.

borishaifa [10]

$x^2-5x-1=0\\\\a=1;\ b=-5;\ c=-1\\\Delta=b^2-4ac\\\\\Delta=(-5)^2-4\cdot1\cdot(-1)=25+4=29 \ \textgreater \ 0\\\\therefore\\x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ \dfrac{-b+\sqrt\Delta}{2a}\\\\x_1=\dfrac{5-\sqrt{29}}{2\cdot1}=\boxed{\dfrac{5-\sqrt{29}}{2}}\\\\x_2=\dfrac{5+\sqrt{29}}{2\cdot1}=\boxed{\dfrac{5+\sqrt{29}}{2}}$

8 0

3 years ago

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Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1 2 inches long. The scale

Vlad1618 [11]

Your answer is 14 :)

8 0

3 years ago

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