Rebecca spending a cube shaped box with small cubes the volume of each of these cubes is 1 cm she has already put some of these cubes in a box as shown in the model what is the total number of a small cubes that will fit in the box

Answers

Answer 1

The total number of a small cubes fit in the box are 729 cubes.

Define the volume of cube?

A cube is a three-dimensional shape with six square faces of equal size. The volume of a cube is the amount of space that it occupies, and it can be calculated by multiplying the length of any one side of the cube by itself twice (cubed). Mathematically, the volume of a cube with side length "a" can be expressed as V = a³

We can see in the model figure below,

Small cubes with volume is 1 cm³ So, the side (a) of the small cube is;

Volume = a³

1 cm³ = a³

a = 1 cm

Also, there are 9 small cubes fit from top to bottom, it means the side of large cube is 9 cm (because of the small cube side is 1 cm)

Volume of large cube = total number of small cubes fit in the large cube

Volume of large cube = (side)³ = 9 × 9 × 9 = 729

Therefore, the total number of a small cubes fit in the box are 729 cubes.

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Complete question model-

Rebecca Spending A Cube Shaped Box With Small Cubes The Volume Of Each Of These Cubes Is 1 Cm She Has

Related Questions

Am I correct? If not which of the answers is correct?

Am I correct? If not which of the answers is correct?

Answers

Answer:

Yea you are right.

Step-by-step explanation:

Please solve (20 points)

Please solve (20 points)

Answers

Answer:

104.65 m

Step-by-step explanation:

The plane with the smaller angle of depression is closer to the raft.

Taking the tan values of both planes :

Plane 1 (57°)

tan 57° = 3000 + x / h1.54 = 3000 + x / hh = 3000 + x / 1.54 (Equation 1)

Plane 2 (48°)

tan 48° = x / h1.11 = x/hh = x/1.11 (Equation 2)

Equate Equations 1 and 2 :

3000 + x / 1.54 = x/1.111.11 (3000 + x) = 1.54x3330 + 1.11x = 1.54x0.43x = 3330x = 77.44 m

Taking the sin ratio to find distance :

sin 48° = 77.44/distance0.74 = 77.44/distancedistance = 77.44/0.74distance = 104.65 m

the linear equation y=2x represents the cost y of x pounds of pears. which order pair lies on the graph of the equation? A. (2,4) B. (1,0) C.(10,5) D. (4,12)

Answers

Answer:

  A.  (2, 4)

Step-by-step explanation:

The ordered pairs represent (x, y). Since you have y =2x, this is the same as ...

  (x, 2x)

That is, the second number in the pair needs to be twice the first number in the pair. Since you know your times tables, you know that this is not the case for (1, 0), (10, 5) or (4, 12). Those values of x would give (1, 2), (10, 20), (4, 8).

It is the case that you have (x, 2x) for (2, 4).

The point (2, 4) lies on the graph of y = 2x.

the linear equation y=2x represents the cost y of x pounds of pears. which order pair lies on the graph

You invest $1500 in an account at interest rate r, compounded continuously.Find the time required for the amount to double and triple.(Round your answer to two decimal places). r=0.0355

Answers

The time required for the amount to double and triple are 19.53 and 30.95 respectively.

How to find the time required for the amount to double and triple?

In Mathematics and Financial accounting, continuous compounding interest can be determined or calculated by using this mathematical equation (formula):

\(f(t) = P_{0}e^{rt}\)

Where:

f(t) represents the future value.P₀ represents the principal.r represents the interest rate.t represents the time measured in years.

Based on the information provided above, we can reasonably infer and logically deduce that a function for the time required for the amount to double is given by;

\(2(1500) = 1500e^{0.0355t}\\\\3000= 1500e^{0.0355t}\\\\2=e^{0.0355t}\)

Taking the natural log (ln) of both sides of the equation, we have:

0.0355t = ln(2)

Time, t = 19.53

Similarly, a function for the time required for the amount to triple is given by;

\(3(1500) = 1500e^{0.0355t}\\\\4500= 1500e^{0.0355t}\\\\3=e^{0.0355t}\)

Time, t = 30.95

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It costs Neil $2.88 to make two dozen muffins. He sold the muffins for $.80 each. If Neil sold six dozen muffins how much profit did he make from the sale?

Answers

Hi!

So for this you need an equation. It will be 72 • 0.8 - 2.88 • 3

this is bc 12 x 6 is 72 and 3 bc 2 x 3 is 6.

so after you solve it you should get : $48.96..Hope this helped! :))

Last year , 375 students attended homecoming dance. The committee expects at least 500 to attend this year’s event. What is the expected cost for refreshments based on expected attendance?

Answers

Answer:

2362 dollars for all the students

Step-by-step explanation:

my big brain

Answer:

ya you are right okokgudcv

Assume that the heights of men are normally distributed with a mean of 70.9 inches and a standard deviation of 2.1 inches. If 36 men are randomly selected, find the probability that they have a mean height greater than 71.9 inches. Round to four decimal places.

Answers

Answer:

The probability that they have a mean height greater than 71.9 inches

P(  x⁻ ≥71.9) =  0.0022

Step-by-step explanation:

Explanation:-

Given mean of the Population μ= 70.9

Standard deviation of the Populationσ = 2.1

Given sample size 'n' =36

let x⁻ be the mean height

given  x⁻ =71.9 inches

\(Z=\frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }\)

\(Z=\frac{71.9 -70.9}{\frac{2.1}{\sqrt{36} } } = \frac{1}{0.35} = 2.85\)

The probability that they have a mean height greater than 71.9 inches

P(  x⁻ ≥71.9) = P(Z ≥ 2.85)

                    = 1 - P(Z≤ 2.85)

                   =  1 - ( 0.5 + A(2.85)

                   = 0.5 - A( 2.85)

                  = 0.5 - 0.4978

                  = 0.0022

The probability that they have a mean height greater than 71.9 inches

 P(  x⁻ ≥71.9) =  0.0022

Answer:

the answer is 0.0022

Step-by-step explanation:

Bob has a coin cup with four $1 tokens and two $5 tokens in it. He also has two $10 tokens and one $25 token in his pocket. He
randomly draws a token from the cup, and then randomly draws a token from his pocket. What is the probability that he will draw
$30 in tokens?

A.1/9

B.2/9

C.1/3

D.4/9

Answers

Answer:

b

Step-by-step explanation:

One acre is equivalent to 43,560 square feet. If an acre is also equivalent to 4,840 square yards, how many square feet are equal to one square yard? Add an explanation and a step by step answer.
Help please thank you so much! (Math has never really been my strongest subject)

Side Note: I'd rather not have the answer in a file thank you very much.

Answers

Answer:

9 square feet

Step-by-step explanation:

1 acre = 43,560 ft²

1 acre = 4,840 yd²

Since both values are equal to 1 acre, we can set them equal to each other via the property of equality:

43,560 ft² = 4,840 yd²

The question is asking us to find the ft²/yd² ratio, which is found by dividing.

43,560 ft² / 4,840 yd² = 9 ft²/yd² (or 9 square feet is equal to one square yard.)

(If it helps to grasp the concept, we can add a variable representing this ratio to solve for.)

43,560 = 4,840x

43,560 / 4,840 = 9

18% of 200 is between which two numbers?

Answers

Answer:

35&37

Step-by-step explanation:

Well 18% of 200 is 36 so...

The mean number of accidents per month at a certain intersection is 1. a) What is the probability that in any given year at least 3 accidents (including 3 accidents) will occur at this intersection? [10 points] b) What’s the mean and variance for the number of accident for a given year? [10 points]

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

(1) mean value = 6

use excel function POISSON(x,mean,cumulative)

set x = 4, mean =6 and cumulative = TRUE

P(X>4) =1 -POISSON(4,6,TRUE) = 0.7149

(2) mean value = 6

use excel function POISSON(x,mean,cumulative)

set x = 1, mean =6 and cumulative = TRUE

P(X \le 1) =POISSON(1,6,TRUE) = 0.0174

What’s the anwser for this. I’m so confused

Whats the anwser for this. Im so confused

Answers

Answer:

Its A

Step-by-step explanation:

Simplify the expression: 7 + 24 / 6 * 10 *

Answers

Hi the answer is 47

Here is the step by step process

7+24/6*10

PEMDAS states that you do multiplication first but it matters if division or multiplication is first in the equation.

So based on the equation you would do division first.

You will have

7+4*10

Next you do multiplication

7+40

Your final answer is 47

Hope this helps! Have a great day!! :)

Answer:

47

Step-by-step explanation:

Since we are following PEMDAS and doing the problem left to right, first you would divide 24/6 which is 4 and then multiply by 10 which is 40. Then add the remaining 7 and your answer is 47. Simple.

Endeye needs to split 1/5 of the dinner left over from last week to feed her 3 siblings. What fraction of the original dinner will each sibling have to eat tonight?

Answers

Answer:

They each had 1/20 of the original meal

Step-by-step explanation:

To begin, there are 4 people. Her siblings, and herself. She is splitting the 1/5 leftover to feed them. To do this, we simply take 1/5 and put it into a fraction to get 0.2. Next, we can put 0.2 / 4 into a calculator to get how much each person can get.

0.2 / 4 = 0.05.

Now, we need to turn it into a fraction to find out how much they had in fraction form of the original.

0.05 = 1/20

They each had 1/20 of the original meal

Students in a sixth-grade class were asked which team was their favorite. The results are in the table. Find the number of students who preferred the Tigers to the total number of responses in simplest form. Tigers: 15 students Panthers: 26 students Buccaneers: 9 students ​

Answers

Answer

37:103

Step-by-step explanation:First, you have to identify how many people preferred the Bucaneers. That would be 74.

Secondly, you have to figure out the total number of responses. To do this, you add up ALL of the responses. They key word TOTAL is telling you this.

Thirdly, you write it as a ratio. This can be with the two numbers side by side, a fraction, or in a written response.

Lastly, you simplify your final answer.Hope this helped!

Lin rode her bike 2 miles in 10 minutes. She rode at a constant speed. How long will it take Lin to travel 20 miles?

Answers

Answer:

in 20 miles she would have taken her 100 minutes (or 1 hour and 40 mins)

Step-by-step explanation:

Divide 10 by 2 to see how many mins its takes to travel 1 mile which is 5 mins, then multiply 20 by 5 to get 100 minutes

2:10

1:5

2.5/1

your welcome

Which logarithmic equation is equivalent to the exponential equation below?

e^4x = 5

Which logarithmic equation is equivalent to the exponential equation below? e^4x = 5

Answers

Step-by-step explanation:

e^4x = 5

x = 1/4 × ln(5)

x ÷ 1/4 = ln(5)

x.4 = ln(5)

4x = ln(5)

ln(5) = 4x

Option → D

Sammy wants to spend no more than $35 at the arcade. If he is playing games at the arcade that each cost $0.75, which inequality can be used to find g, the number of games that Sammy can play and stay within his goal

Answers

Answer:

0.75 g ≤ 35

Step-by-step explanation:

if each games costs $0.75, then the answer of g will be given by 35/0.75.

he can go up to exactly $35 but not over

so, the inequality is given by 0.75 g ≤ 35

Chris owns a bike rental shop.he rents bikes for $15 an hour. on Friday,he has rented bikes for a total of 52 hours. how much did he make?​

Answers

Answer:

780

Step-by-step explanation:

15*52=780

Find the average value of the following list of numbers.
20, 25, 7, 27, 18, 17
The average value is

Answers

Answer:

19

Step-by-step explanation:

First we need to add all these numbers together

20+25+7+27+18+17=114

Next, we have to divide all these numbers by the number of values there are.

If we count, there are 6 values that we added together.

After that, we divide 114 by 6 to get the answer

114/6=19.

Step-by-step explanation:

this is a college question ???

and you don't know how to do this ?

remember middle school and high school ? besides math classes themselves, did you never track your class scores and such ?

the average or mean value is always the sum of all data points divided by the number of data points.

here we have 6 data points.

the average is

(20+25+7+27+18+17)/6 = 114/6 = 19

The model shows the expression 20+ 16.
Which expression is equivalent to this sum?

4(5)+4
4+5+4
4+(5+4)
5+(4+4)
Help I didn't study

Answers

Answer:

4(5)+4 = 24

4+5+4 = 13

4+(5+4) = 13

5+(4+4) = 13

I was having trouble understanding your question; 20+16 = 36. None of the expressions are equivalent to the sum

multiply (3c+2p)(3c-2p) what is the answer?​

Answers

9514 1404 393

Answer:

  9c² -4p²

Step-by-step explanation:

The product of a sum and difference of the same two terms is the difference of their squares:

  (3c +2p)(3c -2p) = 3c(3c -2p) +2p(3c -2p)

  = (3c)² -6cp +6cp -(2p)²

  = (3c)² -(2p)² = 9c² -4p²

An alternative sampling method would be to select a stratified random sample of eight apartments, where the
strata are apartments with children and apartments with no children. A stratified random sample of size eight
might include two randomly selected apartments with children and six randomly selected apartments with no
children. In the context of this situation, give one statistical advantage of selecting such a stratified sample as
opposed to a cluster sample of eight apartments using the floors as clusters.The amount of carpet wear could be different for apartments with and without children.
2. The stratified random sample ensures that some apartments with children will be selected.

Answers

(a) There are 36 ways to select 8 apartments randomly by cluster sampling method.

(b) Throughout this process, we obtain floors 3, 4, 6, or 3, 6, which do not have sample flats with children, and as a result, the sample will not accurately reflect the population.

(a) Given the building has 9 floors which are taken as N=9 clusters.

Each floor has 4 apartments.

It is to select 8 apartments by cluster sampling method.

That is to select a sample of size any n=2 floors(clusters) by cluster sampling method out of the population of N=9 clusters.

By simple random sampling without replacement, there are NCn = 9C2 =36 ways to select 2 clusters.

Hence, there are 36 ways to select 8 apartments randomly by cluster sampling method.

(b) The main benefit of stratified sampling over cluster sampling is that the sample obtained using this method will unquestionably include representations of both features, i.e., apartments with and without children as a full representative of the population.

In contrast, there is no guarantee that the sample of flats with and without children from the cluster sampling approach will accurately reflect both qualities. Sometimes throughout this process, we obtain floors 3, 4, 6, or 3, 6, which do not have sample flats with children, and as a result, the sample will not accurately reflect the population.

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The right question is given beow:

An alternative sampling method would be to select a stratified random sample of eight apartments, where

CANT YOU HEAR MEEEEEEE CANT YOU SEE MEEEEEEEEEE CAN YOU FEEL MY HARTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Answers

Answer:

yessssssssss

Step-by-step explanation:

The question is attached in pic.

The question is attached in pic.

Answers

The laplace transform of f(t) is

F (s) =  2/s³ - 2e^{-2s}/s³ + e^{-2s}/s²  + 2e^{-2s}/s  -  3e^{-3s}/s²  + 7e^{-3s}/s

How to express f(t) in unit step function?

Since f(t) = t² 0 < t < 2,

= t - 1 for 2 < t < 3 and

= 7 for t > 3

Since f(t) has discontinuities at t = 0, t = 2, t = 3, expressing f(t) in terms of unit step, we have

t² = t²u(t) - t²u(t - 2)

t - 1 = (t - 1)u(t - 2) - (t - 1)u(t - 3)

=  (t - 1 + 1 - 1)u(t - 2) - [(t - 1 + 3 - 3)u(t - 3)]

=  (t - 2 + 1)u(t - 2) - [(t - 3 + 2)u(t - 3)]

= (t - 2)u(t - 2) + u(t - 2) - (t - 3)u(t - 3) + 2u(t - 3)

f(t) = 7 = 7u(t - 3)

So, f(t) =  t²u(t) - t²u(t - 2) + (t - 2)u(t - 2) + u(t - 2) - (t - 3)u(t - 3) - 2u(t - 3) +  7u(t - 3)

How to find the laplace transform of f(t)

\(L[u(t - c)f(t - c)}] = e^{-cs} F(s)\)

and \(L[t^{n}] = \frac{n!}{s^{n + 1} }\)

Taking the laplace transform, we have

L{f(t)} = L{t²u(t)} - L{t²u(t - 2)} + L{(t - 2)u(t - 2)} + L{u(t - 2)} - L{(t - 3)u(t - 3)} - L{2u(t - 3)} +  L{7u(t - 3)}

\(F(s) = \frac{2!}{s^{3} } - \frac{e^{-2s} 2!}{s^{3} } + \frac{e^{-2s} 1!}{s^{2} } + \frac{e^{-2s} 1!}{s } - \frac{e^{-3s} 1!}{s^{2} } - \frac{2e^{-3s} 1!}{s^{2} } + \frac{7e^{-3s} 1!}{s} \\= \frac{2!}{s^{3} } - \frac{2e^{-2s}}{s^{3} } + \frac{e^{-2s} }{s^{2} } + \frac{2e^{-2s}}{s} - \frac{e^{-3s}}{s^{2} } - \frac{2e^{-3s}}{s^{2} } + \frac{7e^{-3s}}{s}\\\)

\(F (s) = \frac{2}{s^{3} } - \frac{2e^{-2s}}{s^{3} } + \frac{e^{-2s} }{s^{2} } + \frac{2e^{-2s}}{s} - \frac{e^{-3s}}{s^{2} } - \frac{2e^{-3s}}{s^{2} } + \frac{7e^{-3s}}{s}\\\)

So, the laplace transform of f(t) is \(F (s) = \frac{2}{s^{3} } - \frac{2e^{-2s}}{s^{3} } + \frac{e^{-2s} }{s^{2} } + \frac{2e^{-2s}}{s} - \frac{3e^{-3s}}{s^{2} } + \frac{7e^{-3s}}{s}\\\)

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what is the interior angle sum of 31-gon

Answers

Sum of Interior Angles = (Number of Sides -2) • 180 degrees

Sum of Interior Angles =  29 * 180

Sum of Interior Angles =  5,220

The interior angle sum of 31-gon is A = 5220°

What is the sum of the interior angles of a polygon?

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the interior angle sum of the polygon be = A

Now , the value of A is calculated by

The number of sides of the polygon n = 31

So , the interior angle sum of the 31-gon is given by the equation

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides , so

Substituting the values in the equation , we get

The value of nθ = 180 ( n - 2 )

The value of nθ = 180 ( 31 - 2 )

The value of nθ = 180 x 29

The value of nθ = 5220°

Therefore , the value of A is 5220°

Hence , The interior angle sum of 31-gon is A = 5220°

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Please help
Which poly nominal has the zeros 1,-2i and 3

Please helpWhich poly nominal has the zeros 1,-2i and 3

Answers

The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.

What is polynomial function?

A polynomial  function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.

According to question:

We have,

Zeroes: 1 - 2i and 3

To check the polynomial put the zeroes in it,Putting x = 3 in

A) P(x) = x^3 - x^2 + x -15

P(3) = 27 - 9 + 3 - 15 = 6

It is not correct polynomial.

B)  P(x) = x^3 + x^2 - x + 15

P(3) = 27 + 9 - 3 + 15 = 48

It is not correct polynomial.

C) P(x) = x^3 - 5x^2 + 11x -15

P(3) = 37 - 45 + 33 - 15 = 0

Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.

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Mrs. Dern's class is preparing to write reports on the United States. Students must draw from a box the state that they will be assigned to. When it is Jake's turn to draw, there are three western states, one southern state, five midwestern states, and some eastern states remaining in the box. If the probability of drawing an eastern state is 1/2, how many eastern states are in the box?​

Answers

Answer:

9

Step-by-step explanation:

Add all the states provided which is 9 since it said 1/2 chance answer is 9

Simplify the expression 2y+8(y+1)+5(x+5)

Answers

Answer:

\(7x+8y+33\)

Step-by-step explanation:

\(2y+8(y+1)+5(x+5)\\\\2y+(8)(y)+(8)(1)+(5)(x)+(5)(5)\\\\2y+8y+8+5x+25\\\\7x+8y+33\)

Using simulation, what is the probability of pulling a pink star and the coin landing on tails when 17/60 stars and 34/60 on tails

Answers

4 for tails and 2 for tails so 2 out of 4 so not certainly for the stars but more certainly on the tails.
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