All categories

3 years ago

A sample of marble has a volume of 6 cm3 and a density of 2.76 g/cm3. What is its mass?

Mathematics

2 answers:

ladessa [460]3 years ago

8 0

D = m/v
m = dv
m = 2.76 g/cm3 x 6 cm3
m = 16.56 g

Drupady [299]3 years ago

3 0

Answer:

$16.56\ g$

Step-by-step explanation:

we know that

The density is equal to the mass divided by the volume

Let

x-----> the mass of marble

y----> the volume of marble

z----> the density of marble

$z=\frac{x}{y}$

in this problem we have

$y=6\ cm^{3}$

$z=2.76\ g/cm^{3}$

substitute and solve for x

$2.76=\frac{x}{6}$

$x=2.76*6=16.56\ g$

You might be interested in

QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu

Harman [31]

Answer:

(a)Revenue function, $R(x)=580x-x^2$

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit, $P(x)=-35x^2+280x-900$

(d)x=4

Step-by-step explanation:

Part A

Price Function $= 580 - 10x$

The revenue function

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

The marginal revenue function

$\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x$

Part B

(Fixed Cost)

The total cost function of the company is given by $c=(30+5x)^2$

We expand the expression

$(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2$

Therefore, the fixed cost is 900 .

Marginal Cost Function

If $c=900+300x+25x^2$

Marginal Cost Function, $\frac{dc}{dx}= (900+300x+25x^2)'=300+50x$

Part C

Profit Function

Profit=Revenue -Total cost

$580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900$

Part D

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

$P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4$

The number of cakes that maximizes profit is 4.

6 0

3 years ago

Is a quadrilateral a square?

Alenkinab [10]

Answer:

No but a square is a quadrilateral

Step-by-step explanation:

hope this helps :)

3 0

3 years ago

Read 2 more answers

[tex]\sqrt{49} please answer correctly

Nookie1986 [14]

Answer:

Um.. well I don't know what is your question, but I think you meant square root and the answer is 7 because it is a perfect square.

Step-by-step explanation:

7 0

3 years ago

HELP!!! BRAINLIEST ANSWER!!!!

vfiekz [6]

Answer:

x = 26, y = 9

Step-by-step explanation:

Add the bottom equations and set them equal to 180

8x -28 = 180

8x = 208 divide each by 8

x = 26

Find the bottom right, 3(26) - 11

78 - 11 = 67

The unlabeled top left box is also equal to 67 degrees.

So 2y + 5 = 23

2y = 18

y = 9

7 0

3 years ago

Read 2 more answers

Julie multiplies 6.27 by 7 and claims the product is 438.9. Explain without multiplying how you know Julie’s answer is not corre

Karolina [17]

Answer:

SHe put the decimal point in the wrong spot, it's suppose to be 43.89

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers