You have two identical boxes which an interior dimensions of 8.0x8.0x8.0. You completely fill one of the boxes with wooden spheres that are 1.6 in diameter. The other box gets filled with wooden cubes that are 1.6 cm on each edge. After putting the lid on the filled boxes, you then measure the density of each. Which one is more dense?

Answers

Answer 1

Answer: The one filled with wooden cubes.

Step-by-step explanation:

First, the box filled with spheres will have empty space, this is for how spheres are, so independent of the radius of the sphere, we will always have some empty space inside the box.

In the case of the cubes, this does not happen. Furthermore, the dimension of the box are 8cm by 8cm by 8cm, and the cubes have a sidelength of 1.6cm

We know that:

1.6cm*5 = 8cm

Then we can perfectly fill the box with the wooden cubes (such that there is no empty space like in the previous case).

Because this box has no empty space and is filled with the same material as the other box, we can conclude that this box will have a larger mass than the one filled with spheres.

And we know that:

density = mass/volume.

Both boxes have the same volume, but the box with cubes has a larger mass, then the box with cubes will have a larger density.


Related Questions

34=16+x helpppppp please due in 30 minutes

Answers

Answer:

34-16=18

so x = 18

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

Subtract 16 from both sides to get x by itself. 34 - 16 = 18. 18 = x

PLEASE HELP:

The deductions from Jennifer Miller's monthly pay are federal income tax (FIT) of $87, state income tax (SIT) of 2.5% of gross, (CIT) city income tax of 1.2% of gross, social security, and medicare. Her next monthly pay is $3,981.22. Find Jennifer's monthly gross pay.


A) $4,529.05

B) $4,551.23

C) $4,576.58

D) $4,589.08

Answers

Answer:

$4,711.31

Step-by-step explanation:

Calculation for Jennifer's monthly gross pay

First step is to calculate The total tax percentage deductions

Using this formula

Total tax percentage deductions =State tax + City tax + Social security + Medicare

Let plug in the formula

Total tax percentage deductions = 3.5% +2.5% +6.2% +1.45%

Total tax percentage deductions = 13.65%

Now let calculate the monthly gross pay

Monthly gross pay= ($3,981.22 +87)/(1-13.65%)

Monthly gross pay= ($3,981.22 +87)/0.8635

Monthly gross pay=$4,068.22/0.8635

Monthly gross pay= $4,711.31

11 12 13 14 15
There were 180 people who voted at the town council meeting. Of these people, 60% voted for building a
new basketball court in the park
How many people voted against building the new basketball court? Complete the explanation of how to
find the answer
60% of 180 equals
and 180-
people that are against building the basketball court.
There are

Answers

the graphing would be easier to use because it demonstrates the numbers that are in the situation

Which expression is equivalent to 3 the 5th power?

Answers

Answer:

The expression equivalent to 3 to the 5th power is 3^5.

The number 3 raised to the 5th power is represented through the expression 3 ^ 5, which means that the number 3 is multiplied by itself 5 times (3x3x3x3x3), which results in the number 243, which is can be corroborated by the following calculations:

3x3 = 9

9x3 = 27

27x3 = 81

81x3 = 243

The solution is: The expression equivalent to 3 to the 5th power is 3^5.

Here, we have,

The number 3 raised to the 5th power is represented through the expression 3 ^ 5,

which means that the number 3 is multiplied by itself 5 times (3x3x3x3x3),

which results in the number 243,

which is can be corroborated by the following calculations:

3x3 = 9

9x3 = 27

27x3 = 81

81x3 = 243

Hence, The solution is: The expression equivalent to 3 to the 5th power is 3^5.

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Question 10(Multiple Choice Worth 1 points)
(05.02 MC)

The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in either college or high school:


High Low Q1 Q3 IQR Median Mean σ
College 50 6 8.5 17 8.5 12 15.4 11.7
High School 28 3 4.5 15 10.5 11 10.5 5.8


Which of the choices below best describes how to measure the spread of these data?
(Hint: Use the minimum and maximum values to check for outliers.)
Both spreads are best described by the IQR.
Both spreads are best described by the standard deviation.
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
The college spread is best described by the standard deviation. The high school spread is best described by the IQR.

Answers

Answer:

The college spread is best described by the IQR. The high school spread is best described by the standard deviation.

Step-by-step explanation:

The college data has large outliers which skews the data, therefore the IQR is better measure of spread.

The high school data does not appear to be skewed so the standard deviation is fine as a measure of spread.

Each month Javier takes his recycling to the local recycling center where he separates the glass bottles into different
colors. He would like to determine the proportion of glass his household recycles that is clear glass, so he mixes up
his container and randomly grabs 10 glass items and determines the proportion that are clear glass.
The population is
The sample is
The parameter is the proportion of
The statistic is the proportion of

Answers

Answer:

The population is: all glass recycled

The sample is: the 10 selected glass items.

The parameter is the proportion of: all his glass that is clear

The statistic is the proportion of: the selected glass that is clear

The population of a distribution is the entire group, while the sample is the selected group from the entire group.

The population is all glass recycled The sample is the 10 selected glass items. The parameter is the proportion of all his glass that is clear The statistic is the proportion of the selected glass that is clear

The population

From the question, we understand that glasses are recycled and then separated into colors.

This means that, the population is all glass recycled

The sample

From the question, we understand that he randomly grabs 10 glass items, and then determine the proportion of clear glasses.

This means that, the sample is the 10 selected glass items.

The parameter

This is the value that summarizes all the glasses that are being recycled.

So, the parameter is the proportion of all his clear glasses

The statistic

This is the value that summarizes the selected glasses.

So, the statistic is the proportion of the selected glass that is clear

Read more about samples and population at:

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are there any maths genius here can help?​

Answers

Answer:

1 》let equal side be X and other side y

now, length of y= 2x sin teta/2

=12.3×sin42/2

=12.3 × sin21

=4.407

(Please help) Based on the equation you wrote in part 1, complete the table below (equation is f = 1000t)
Number of tigers | Area (Square feet)
1 :
2 :
3 :
4 :

Answers

Answer:

1,000

2,000

3,000

4,000

Step-by-step explanation:

just took the test got it right

Answer: I got the sample answer correct

Step-by-step explanation:

the edmentum answer

PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG

Answers

Answer:

120 is too steep, so it is either 150 or 160.  According to an online protractor, it appears to be 150 degrees.

Step-by-step explanation:

help i need help fast​

Answers

Answer : Vertical .

Answer:

Vertical, Horizontal, and Diagonal

Step-by-step explanation:

5 lines of Symmetry.  

It has four lines of symmetry and four sides. A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides.

PLS HELP: I am unsure how to calculate this into final numbers.

Cal Amity decided to survey 880 inhabitants of the Kingdom so that he could have a confidence level of 95% and a margin of error of 3%. He found that 72% of his sample answered "yes" to the second survey question, which was, "Have you done anything, or will you do anything, to prepare your kitchen for Gourmando's visit?"


Mr. Amity can infer that, most likely, between _[blank A]_ and _[blank B]_ inhabitants of the Kingdom have done, or will do something, to prepare their kitchen before Gourmando's visit.

Options:

blank A: 3450

blank B: 5000

blank A: 0

blank B: 300

blank A: 3600

blank A: 150

blank B: 3600

blank B: 3750

Answers

Complete question :

Cal Amity decided to survey 880 inhabitants of the Kingdom so that he could have a confidence level of 95% and a margin of error of 3%. He found that 72% of his sample answered "yes" to the second survey question, which was, "Have you done anything, or will you do anything, to prepare your kitchen for Gourmando's visit?"

Mr. Amity can infer that, most likely, between _[blank A]_ and _[blank B]_ inhabitants of the Kingdom have done, or will do something, to prepare their kitchen before Gourmando's visit.

If a population is 5000

Answer:

blank A: 3450

blank B: 3750

Step-by-step explanation:

Number of inhabitants surveyed = 880

Population size = 5000

Error margin = 3%

Percentage that answered 'yes' = 72%

The confidence interval :

Mean ± Error margin

Lower Bound = 72% - 3% = 69% = 0.69

Upper bound = 72% + 3% = 75% = 0.75

Since the question want us know the overall inhabitants of the kingdom who fall between this interval :

Blank A = lower boundary = 0.69 * 5000 = 3450

Blank B = upper boundary = 0.75 * 5000 = 3750

Solve for x.
6
х
12
15
X=
units

Answers

Multiply the numbers all together

Answer:

x = 4

Step-by-step explanation:

If a line is parallel to a side of the triangle and intersects the other 2 sides then it divides those sides proportionally, that is

[tex]\frac{2}{4}[/tex] = [tex]\frac{x-1}{6}[/tex] ( cross- multiply )

4(x - 1) = 12 ( divide both sides by 4 )

x - 1 = 3 ( add 1 to both sides )

x = 4

How much is 2000mg in grams?

Answers

Answer:

2 grams

Step-by-step explanation:

It’s 2 grams ...............

Which of the following has zeros that are not significant?


2.05 m/s


10.0 J


1.30 N


100 kg

Answers

Answer:

Your answer would be D. 100 kg

Step-by-step explanation:

I took the test and got it correct

Hope this helps

Good luck!

The required zero that has not significant is 100, 10.0, and 1.30.

Given that,
To determine the number that has zeros that are not significant.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,

Zeros between non-zero numbers are significant.
So it contains 2.05,


Zeros to the left of the first non-zero digit are not significant.
It contains 100, 10.0. and 1.30


Thus, the required zero that has not significant is 100, 10.0 and 1.30

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what is +x 4 for =x 3

Answers

Answer:

did u mean "what is x + 4 for x = 3"? Cuz if so then it is 7

Step-by-step explanation:

x + 4

Substitute the x with 3 since it was already given

3 + 4

7

16 can be written as:
O
A. 22

B. 44

c. 24
D. 82
E. 28

Answers

Answer:

2^4

Step-by-step explanation:

2^2 = 2 * 2 = 4

4^4 = 4*4*4*4 = 256

2^4 = 4*4 = 16

8^2 = 8*8 = 64

2^8 = 2*2*2*2*2*2*2*2 = 256

Hence, 16 can be written as 2^4

Thus, Answer is [C] 2^4

[RevyBreeze]

Solve: m = 5 – (-10).
GIVING BRAINLIST to people who is correct!

Answers

Answer:

15

Step-by-step explanation:

5 -(-10) = 15. The negatives together switch to addition

Juanita is riding her bicycle on a trail at the rate of 0.3 kilometers per
minute. Michelle is 11.2 kilometers behind Juanita when she starts traveling
on the same trail at a rate of 0.44 kilometers per minute. Let d represent
the distance in kilometers the bicyclists are from the start of the trail and t
represent the time in minutes. The situation can be represented by the
following system; d=0.3t+11.2 and d=0.44t. How many minutes will it take
Michelle to catch up to Juanita? How far will they be from the start of the
trail? Use the substitution method to determine your answer.

Answers

Answer:

It will take Michelle 80 minutes.

They're 35.20 kilometers away from their starting point.

Step-by-step explanation:

We have to find how many minutes it would take Michelle to catch up to Juanita.

We know that Michelle's movement is represented as: d = 0.44t

Juanita's movement is represented as: d = 0.3t + 11.2

To find how many minutes it would take for Michelle to catch up, we will have to solve both equations together and solve for "t", or time.

Solve:

0.44t = 0.3t + 11.2

Subtract 0.3t from both sides.

0.14t = 11.2

Divide both sides by 0.14

t = 11.2/0.14

t = 80

This means that it would take 80 minutes for Michelle to catch up.

To find how far they are, multiply 0.44 by 80.

0.44 · 80 = 35.20

This means that they're 35.20 kilometers away from their starting point.

Help please!
And thank u

Answers

a/7 + a/3 = 10
a = 21

Answer:

[tex] \frac{a}{7} + \frac{a}{3} = 10 \\ \frac{(3a + 7a)}{21} = 10 \\ \frac{10a}{21} = 10 \\ a = \frac{(10 \times 21)}{10} \\ \boxed{a = 21}[/tex]

a=21 is the right answer.

Determine if the two triangles are congruent and write the conjecture.
pls help

Answers

Answer:

(see below)

Step-by-step explanation:

First, to make it easier for yourself, "flip" the triangles so that they "match." To see what I'm talking about, refer to IMAGE.A.

Now that you can tell that the congruent side and angles are corresponding, you have to prove them congruent.

There is one side and two angles, so it's AAS or SAA.

Explain how to write the equation from the graph

Answers

Answer:

im guessing because its a slope were trying to find the slope intercept so y1~mx1+b on desomos or y=mx+b in actual equation form

Step-by-step explanation:

Solve the following, where 0° 0, then find cot

Answers

Answer:

Nativism is the political position of preserving status for certain established inhabitants of a nation as compared to claims of newcomers or immigrants. It is characterized by opposition to immigration based on fears that the immigrants will distort or spoil existing cultural values.

Step-by-step explanation:

Please Please Help ME!!! its so hard 50 points
Brainiest for correct answer.

Answers

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

Please help me. I really don't know dis​

Answers

Answer:

I would do C because 2/3 is close to a whole so then you would get -3 and 1/4  is close to 0 so just keep 18 the same which would be -18 so -18 divided by -3 would be correct

Step-by-step explanation:

Come on help me pretty plz

Answers

Answer:

im pretty sure its pink

Step-by-step explanation:

pink hope it’s right

Angel and Jayden were at track practice. The track is 2/5 kilometers around.
Angel ran 1 lap in 2 minutes,
Jayden ran 3 laps in 5 minutes.
a) How many minutes does it take Angel to run
one Kilometer?
b) How many minutes does it take Jayden to run
one Kilometer?

will give brainlist!!

Answers

A.) 5 minutes
B.) 4 minutes

Richard learned a total of 30 appetizer recipes over the course of 6 weeks of culinary school. After 7 weeks of culinary school, how many total appetizer recipes will Richard know? Assume the relationship is directly proportional.

Answers

30/6=5
He learns 5 recipes a weeks so 7x5=35
Richard will know 35 recipes in all

Julie earned $402.17 in net pay for working 40 hours. She paid $93.26 in federal and state taxes, and $41.86 in FICA taxes. What is Julie's hourly wage?

Answers

Answer:

6.67625

Step-by-step explanation:

402-93-41=267/6.67625

B.
-2x + 8 = y
3x - y = 22

How do I solve it

Answers

answer

x=6, y=-2

explanation

-2x + 8 = y -------equ 1

3x - y = 22 -------equ 2

u can use any of the simultaneous equation method

using elimination method

rearrange first from -------equ 1

-2x+8=y

-y-2x=-8

multiple through by -1

y+2x=8 -------equ 3

rearrange first from -------equ 2

3x-y=22

-y+3=22 ------equ 4

equate 3 and 4, adding them together

y+2x=8 -------equ 3

-y+3=22 ------equ 4

0+5x=30

5x=30

x=6------equ 5

replace 6 for x in any equation

using -------equ 3

y+2x=8

y+2(5)=8

y+10=8

y=8-10

y=-2

Answer:

(x, y)=(6, -4)

Step-by-step explanation:

-2x+8=y

3x-y=22

Substitute the given value of y into the equation 3x-y=22

3x-(-2x=8)=22

Solve the equation for x

x=6

Substitute the given value of x into the equation 3x-y=22

3x6-y=22

Solve the equation for y

y=-4

The possible solution of the system is the ordered pair (x, y)

(x, y)=(6, -4)

Check if the given ordered pair is the solution of the system of equations

-2x6+8=-4

3x6-(-4)=22

Simplify the equalities

-4=-4

22=22

Since all of the equalities are true, the ordered pair is the solution of the system

(x, y)=(6, -4)

A farmhouse shelters 14 animals. Some are
pigs, and some are chickens. Altogether there
are 44 legs between the animals. Let p
represent the number of pigs and c represent
the number of chickens.

Answers

9514 1404 393

Answer:

8 pigs6 chickens

Step-by-step explanation:

Maybe you want to know the number of each kind of animal.

__

We can write two equations in the two unknowns.

  p + c = 14 . . . . . . number of animals

  4p +2c = 44 . . .  number of legs

Dividing the second equation by 2, it becomes ...

  2p +c = 22

Then subtracting the first equation gives ...

  (2p +c) -(p +c) = (22) -(14)

  p = 8

  8 +c = 14

  c = 6

The farmhouse shelters 8 pigs and 6 chickens.

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