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4 years ago

6) If the Leaning Tower of Pisa has a height of 55 meters, radius of 8 meters, what is the volume?

Mathematics

1 answer:

disa [49]4 years ago

8 0

Volume is space inside, the tower isnt a right cylinder so technically u cant find the volume with the standard formula

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-x+2y=9<br> -7x-2y=-1 <br> Solve each system by elimination

g100num [7]

X - 2y = - 9
7x + 2y = 1

x - 2y = - 9
(+)
7x + 2y = 1
___________
8x = - 8

x = - 1

- 1 - 2y = - 9
2y = 8
y = 4

i am a mathematics teacher. if anything to ask please pm me

5 0

3 years ago

What is the relation between the variables in the equation x^4/y=7?

makkiz [27]

Answer:

So, the relation between variables are

$y=\frac{x^4}{7}$

Step-by-step explanation:

We are given

$\frac{x^4}{y}=7$

Since, we have to find relation between variables

so, we can solve for y

$\frac{x^4}{y}=7$

Firstly, we will multiply both sides by y

$\frac{x^4}{y}\times y=7\times y$

we can simplify it

$x^4=7\times y$

we can isolate y

so, we can divide both sides by 7

so, we get

$y=\frac{x^4}{7}$

8 0

3 years ago

A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per

dexar [7]

Answer:

The total revenue is $TR=580x-10x^2$ .

The marginal revenue is $MR=580-20x$ .

The fixed cost is $900.

The marginal cost function is $MC=50x+300$ .

Step-by-step explanation:

The Total Revenue ( $TR$ ) received from the sale of $x$ goods at price $p$ is given by

$TR=p\cdot x$

The Marginal Revenue ( $MR$ ) is the derivative of total revenue with respect to demand and is given by

$MR=\frac{d(TR)}{dx}$

From the information given we know that the price they can sell cakes is given by the function $p=580-10x$ , where $x$ is the number of cakes sold per day.

So, the total revenue is

$TR=(580-10x)\cdot x\\TR=580x-10x^2$

And the marginal revenue is

$MR=\frac{d}{dx}(580x-10x^2) \\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\MR=\frac{d}{dx}\left(580x\right)-\frac{d}{dx}\left(10x^2\right)\\\\MR=580-20x$

The Fixed Cost ( $FC$ ) is the amount of money you have to spend regardless of how many items you produce.

The Marginal Cost ( $MC$ ) function is the derivative of the cost function and is given by

$MC=\frac{d(TC)}{dx}$

We know that the total cost function of the company is given by $C=(30+5x)^2$ , which it is equal to

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=30,\:\:b=5x\\\\\left(30+5x\right)^2=30^2+2\cdot \:30\cdot \:5x+\left(5x\right)^2=25x^2+300x+900\\\\C=25x^2+300x+900$

From the total cost function and applying the definition of fixed cost, the fixed cost is $900.

And the marginal cost function is

$MC=\frac{d}{\:dx}\left(25x^2+300x+900\right)\\\\MC=\frac{d}{dx}\left(25x^2\right)+\frac{d}{dx}\left(300x\right)+\frac{d}{dx}\left(900\right)\\\\MC=50x+300+0=50x+300$

4 0

3 years ago

Convert 0.00054 to scientific notation

andreev551 [17]

The answer is 5.4 × 10^-4

3 0

3 years ago

Read 2 more answers

Rewrite the sentence with correct punctuation and capitalization.

Ludmilka [50]

Matthew bought his cat, Filmore, at Mr. Macintosh’s pet store in Lincoln, Nebraska. (could do “!” at the end too)

7 0

3 years ago