A graduated cylinder is filled with 20ml of water. Then, an 8g marble is dropped into the cylinder, causing the volume to change to 24ml. What is the density of the marble?

Answers

Answer 1

Answer:

The density of the marble is 2,000 kg/m³

Step-by-step explanation:

The given parameters for finding the density of the marble are;

The volume of water in the graduated cylinder, v₁ = 20 ml

The mass of the marble dropped into the graduated cylinder, m = 8 g

The new volume of the cylinder after the 8 g marble is dropped into the cylinder, v₂ = 24 ml

Therefore, the volume of the marble, v = v₂ - v₁

Substituting the known values gives;

The volume of the marble, v = 24 ml - 20 ml = 4 ml

Density, ρ = Mass, m/(Volume, v), the units of density is kg/m³

Therefore, the density of the marble, [tex]\rho _{marble}[/tex], is given as follows;

[tex]\rho _{marble}[/tex] = m/v = (8 g)/(4 ml) = 2 g/ml

1 g/ml = 1 kg/l = 1,000 kg/m³

∴ [tex]\rho _{marble}[/tex] = 2 kg/l = 2,000 kg/m³.


Related Questions

Unfortunately, Fred had some trouble in the kitchen and 3/5 of the peanut butter cookies were burned. a. How many peanut butter cookies does Fred have left to sell?

Answers

Answer: 12 peanut butter cookies

Step-by-step explanation:

Fred had made 10 dozen cookies which means he made:

= 10 * 12

= 120 cookies

Out of those, 1/4 were peanut butter:

= 120 * 1/4

= 30 peanut butter cookies

He burned 3/5 of the peanut butter cookies:

= 30 * 3/5

= 18 cookies were burnt

The amount let is therefore:

= 30 - 18

= 12 peanut butter cookies

What is the square root of six divided by seventy five

Answers

0.032

hope this helps

Answer:

0.32 is the answer. to this question

If answered correctly, I will give brainliest and 30 points. i also need this asap.
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):

A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.

Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)

Part B: Solve for k in each type of transformation. (4 points)

Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Answers

Answer:

First, let's find the equations for our lines:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

f(x) passes through (5,0) and (10, 10), then the slope is:

a = (10 - 0)/(10 - 5) = 10/5 = 2.

then we have:

y = 2*x + b

And when x = 5, we have y = 0.

0 = 2*5 + b

0 = 10 + b

b = -10

Then the equation for f(x) is:

y = f(x) = 2*x - 10.

Now for g(x) we have the points:

(3, 0) and (2, 10)

a = (10 - 0)/(2 - 3) = -10

y = -10*x + b

0 = -10*3 + b

b = 30.

y = g(x) = -10*x + 30.

A) Ok, the transformations:

Transformation 1 or T1.

f(x) = 2*x - 10

g(x) = -10*x + 30.

Then, we start with f(x):

First, we can move f(x) up 4 units and get:

f'(x) = 2*X - 6

Now we can dilate f(x) with a scale factor of -5 from the origin, now we get:

f''(x) = -5*f'(x) = -10*x + 30.

And this is g(x).

Transformation 2 or T2.

Move f(x) up 10 units, so now we have:

f'(x) = 2*x

Do a reflection over the x-axis, so the sign of y changes, and now we get:

f''(x) = -2*x

Do a dilation of scale factor 5

f'''(x) = 5*-2*x = -10*x

Now do a vertical translation of 30 units up.

f''''(x) = -10*x + 30 = g(x).

These are two transformations that start with f(x) and end with g(x).

B) Ok, as i was writting the transformations i already solved them, so this part is already done.

C) the equation for the transformations are:

T1) g(x) = -5*(f(x) + 4)

T2) g(x) =  -(f(x) + 10)*5 + 30

hmm can’t see the questions

Find the prime factorization for 100.
A. 2² x 52
B. 2 x 50
C. 4 x 25
D. 23 x 52
E. 22 x 53

Answers

Answer:

100

Step-by-step explanation:

So, the prime factors of 100 are written as 2 x 2 × 5 x 5 or 25*4

A parabola can be drawn given a focus of (6,-2)and a directrix of x = -−3. What can be said about the parabola?

Answers

Answer:4

Step-by-step explanation:

6,-2=x-3=4

Triangle abc gets translated and reflected prove its congruent to a"b'c"


A. AA postulate

B. HL Postulate

C.ASA throem

D.SSA Theroem

Answers

Answer: the answer is b

Step-by-step explanation: since i helped can i have brainlist please it would be greatly apperacited.  :D

what number is one hundred more than 890

Answers

Answer:

990

Do 100+890

its simple math

The number that is one hundred more than 890 would be,

⇒ 990

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that,

To find a number that is one hundred more than 890.

Let us assume that,

The number that is one hundred more than 890 = x

Hence, it can be written as,

⇒ x = 890 + 100

Solve for x,

⇒ x = 990

Therefore, the number that is one hundred more than 890 = 990

To learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ6

ASAP like now I need help

Answers

Bxbdhhdhdhdhdhdhdhhd

Cakes and More baked 1,450 chocolate chip cookies. The bakery sold them in boxes of 25 cookies each. How much money will the bakery collect if it sells the cookies for $7 per box? Show how you solved this below.

Answers

Answer:

$406

Step-by-step explanation:

Step one:

given data

Cakes and More baked 1,450 chocolate chip cookies

The bakery sold them in boxes of 25 cookies each

The number of boxes will be

1450/25

=58  boxes

Step two:

The cost per box is $7

hence the cost of 58 boxes will be

=7*58

=$406


An atom of a certain element has 37 protons, 37 electrons, and a mass number of 85. How many neutrons are
in this atom?

Answers

Answer:

There will be 48 neutrons.

Step-by-step explanation:

Hope this helps and have a great day :)

There will be 48 neutrons in this atom.

What is mass number?

The mass number of an element is the number obtained when the number of protons and neutrons in the nucleus of an atom of the element are summed together.

The addition of protons and neutrons in the nucleus of an atom is collectively known as the nucleon. Thus, the mass number of an atom can also be referred to as the nucleon of the atom.

This can be mathematically expressed as follows;

Mass number = number of protons + number of neutrons.

We are given that atom of a certain element has 37 protons, 37 electrons, and a mass number of 85.

So,

Mass number = number of protons + number of neutrons.

85 = 37 + n

n = 85 - 37

n = 48

More on mass number can be found here: brainly.com/question/4408975

#SPJ6

in long division 42 divided by 966

Answers

i think you meant 42 divided by 966 but if it true, then its 1/23 in exact form but in decimal, its 0.04347826 ...

hope this helps :)

Matthew drives at an average speed of 62mph for 5 hours how many miles does matthew drive?

Answers

Answer:

He drove 310 miles per hour

Step-by-step explanation:

So this means that in one hour he drives 62 miles

to find how much in five hours multiply 5 by 62

5x62=310miles

Answer:52

Step-by-step explanation:

A is what percent of B? Pls help???

Answers

Answer:

If you want to know what percent A is of B, you simple divide A by B, then take that number and move the decimal place two spaces to the right. That's your percentage!

Step-by-step explanation: There is no exact answer and it would be null. You didn't even give an image

What is the length of AB?
12 units
6
6 units
4
2
14 units
B
-8
-6
-4
-2
0
BX
-2
10 units
4
А
-6-

Answers

Answer:

12

Step-by-step explanation:

i counted 12 units from A to get to B

Answer:

I took the diagnostic and I don't know what it was. I wish they would tell you. But I think 14.

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equation. Point: (5,4) Equation: y = 2/5x - 2​

Answers

Answer:

y = (2/5)x + 2

Step-by-step explanation:

The given equation y = (2/5)x - 2​ is already in slope-intercept form.  The equation of the new line has precisely that form, except that the constant is different.  To find the new constant (which is the y-intercept), replace x with 5 and y with 4 in y = (2/5)x + C:

4 = (2/5)(5) + C, or

4 = 2 + C.  Therefore, C = 2 and the equation of the new line is y = (2/5)x + 2.

Which expression is equivalent?

Answers

The equivalent expression is b)
The second one

The length of a rectangle is one more than twice its width. If its perimeter is 20 inches, what is its length and width?

Answers

Answer:

Let length be L

Width be W

L=1+2W

Perimeter(p) of rectangle is

P=2L+2W

But L = 1+ 2W and p= 20

:. 20 =2(1+2W) +2W

20=2+4W+2W

18=6W

Divide both sides by 6

W =3

2W+1=L

6+1=L

L=7

Hence, length and width are 7in and 3in respectively

Step-by-step explanation:

Item 9 Forty-five basketball players participate in a tournament. Write and solve an equation to find the number x of 3-person teams that they can form. An equation that represents this problem is =45. They can form 3-person teams.

Answers

Answer: See explanation

Step-by-step explanation:

Since forty-five basketball players participated in the tournament and a 3-person team wants to be formed, the equation to find the number x of 3-person teams that they can form will be:

3x = 45

x = 45/3

x = 15

Therefore, 15 3-person team can be formed.

.BAKSHWOSJASHAIAJHSUAISHA

Answers

i agree with this statement completely sign me up

Fantastic I love it great question!

8 (n + 2) = __n + __

Answers

Answer:

The blanks are 8 and 16

Step-by-step explanation:

Distribute the 8:

8(n + 2) = 8*n + 8*2 = 8n + 16

In order to get the answer your gonna need to expand the equation.

8 (n + 2)

8 x n + 8 x 2

= 8n + 16

Please help me I need it!!!!

Answers

Answer:

d

Step-by-step explanation:

because it starts off under the water which is -24 then you add a positive 24 to get to sea level

Answer:

the distance above sea level after increasing  24 meters from a depth of 24 meters below sea level

Step-by-step explanation:

equation- -24m + 24m = 0

the answer to the first one is -10 (-5 - 5 - -10)

the answer to the second one is 1,000 (0 + 1,000 = 1,000)

the answer to the third one is 10 ( 20 - 10 = 10)

the answer to the fourth one is 0 (-24 + 24 = 0)

Round 154.98 to the nearest 10th

Answers

154.98 rounding off is 155. But to the nearest tenth is 150

Answer: 155

Step-by-step explanation:

To round 154.98 to the nearest tenth, remember that in the hundredths place is 8 and is more than 5. Therefore, the tenths value of 154.98 increases by 1 to 0.

help me out? please !

Answers

Answer:

trapezoid

Step-by-step explanation:

Answer ASAP this practice is due tomorrow

Answers

Answer:

i think it's Z = 8,4

I'm not sure

Find x and y so that the quadrilateral is a parallelogram.

Answers

Answer:

Result:

The value of x = 12The value of y = 21

Step-by-step explanation:

Given

The parallelogram DEFG

DE = 6x-12

FG = 2x+36

EF = 4y

DG = 6y-42

We know that the opposite sides of a parallelogram are equal.  

As DE and FG are opposite sides, so

DE = FG

substituting DE = 6x-12 and FG = 2x+36 in the equation

6x-12 = 2x+36

6x-2x = 36+12

simplifying

4x = 48

dividing both sides by 4

4x/4 = 48/4

x = 12

Therefore,

The value of x = 12

Also, EF and DG are opposite sides, so

EF = DG

substituting EF = 4y and DG = 6y-42 in the equation

4y = 6y-42

switching sides

6y-42 = 4y

6y-4y = 42

2y = 42

dividing both sides by 2

2y/2 = 42/2

y = 21

Therefore,

The value of y = 21

Result:

The value of x = 12The value of y = 21

HELP ASAP
6+ x - y + 10=

Answers

Answer:

x-y+16

Step-by-step explanation:

add the like terms, 6 and 10 which is 16. since the variables are not like terms, thats your final answer. hope it helped :)

What is the relationship between DG and FG?
Math

Answers

Ans: DG is perpendicular to FG. OC DG Intersects FG to form an acute angle. ODDO intersects FG to form an obtuse angle.

4 In Ms. Smith's class of 26 students, 12 wear glasses. What is the ratio of students who
wear glasses to those who don't?
A. 12:26
B. 26:12
C. 12:14
D. 4:12

Answers

if 4 isn’t part of the question it would be out of 26 students 12 wear glasses so 12:26

Answer:

C

Step-by-step explanation:

what is the answer to −9p − 6 = −141

Answers

Answer:

p = 15  

Hope this helps

Step-by-step explanation:

p=15 is what i got, good luck!!

You have completed 35% of your workout. Your workout is 35 minutes long. How much time do you have left?

Answers

Answer:

You have 12.25 minutes left to workout.

Step-by-step explanation:

the top comment is correct
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