If a Rubik’s Cube has a volume of 384 cubic centimeters, how long is one side of the cube?

Answers

Answer 1

The answer is: "7.268 cm" .
________________________
Explanation:
________________________
Since the formula for the volume, "V", of a cube, is:

V = s³ ;

in which: "s" = side length of a cube;

Given: "V = 384 cm³ " ; Plug this value into the formula; to solve for "s" ;

V = s³ ;

↔ s³ = V ;

s³ = V ;

s³ = 384 cm³ ;

Take the "cubic root" of EACH SIDE of the equation; to isolate "s" on one side of the equation ; & to solve for "s" ;
_________________________________________________
∛(s³) = ∛ (384 cm³) ;

s = 7.2684823713285586 cm

Round to: 7.268 cm .
__________________________________________________

Related Questions

-1 = n+5 what does n equal to

Answers

n equals -6.
-6 + 5 = -1.

Suppose you have $16,000 to invest in three stocks, A, B, and C. Stock A is a low-risk stock that has expected returns of 4%. Stock B is a medium-risk stock that has expected returns of 5%. Stock C is a high-risk stock that has expected returns of 6%. You want to invest at least $1,000 in each stock. To balance the risks, you decide to invest no more than $7,000 in stock C and to limit the amount invested in C to less than 4 times the amount invested in stock A. You also decide to invest less than twice as much in stock B as in stock A. How much should you invest in each stock to maximize your expected profit?

Answers

Answer:

Stock A: 1

Stock B: 1 and 2

Stock C: 1,7,4

NEED HELP!
Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to his collection while Nita is adding 5 CDs a month to her collection. Write a system to find the number of months after which they will have the same number of CDs. Let x represent the number of months and y the number of CDs.

Answers

The equation for Tom: y=30+1x
The equation for Nita: y=18+5x

This is the answer
Hope it helps :)

At the end of 3 month both have equal number of CDs i.e. 33

Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to his collection while Nita is adding 5 CDs a month to her collection. Write a system to find the number of months after which they will have the same number of CDs.

What is the equation?

Equation, is values of two expression that are equal.

Let x represent the number of months and y the number of CDs.

now
For Tom
Y = 30 + X

for Nita
Y = 18 + 5X

now solving both equation
30 + X = 18 + 5X
4X = 12
X = 3
for X = 3 y = 33

Thus At the end of 3 month both have equal number of CDs i.e. 33

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One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. Which statements about the two rectangular solids are true? Check all that apply.
A) The bases are congruent.
B) The solids are similar.
C) The ratio of the volumes of the first solid to the second solid is 8:1.
D)The volume of the first solid is twice as much as the volume of the second solid.
E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more
surface area than the second solid.

Answers

The correct answers about these solids are that:

The bases are congruent.The volume of the first solid is twice as much as the volume of the second solid. If the dimensions of the second solid are x by x by h, the first solid has 4xh more surface area than the second solid.

What is a congruent base

This is used to tell that the base of the triangles are the same and they have the same shape.

The volume of the first triangle is

[tex]2X^2h\\\\X^2h[/tex]is the volume of the second triangle.

The ratio is 2: 1

Answers

(3,9)(5,15)
slope = (15 - 9) / (5 - 3) = 6/2 = 3

y = mx + b
slope(m) = 3
(3,9)...x = 3 and y = 9
sub and find b, the y int
9 = 3(3) + b
9 = 9 + b
9 - 9 = b
0 = b

so ur equation is : y = 3x + 0....can be written as y = 3x.

after 12 months...
y = 3x...x = 12
y = 3(12)
y = 36 inches

Translate the sentence into an inequality.
Six subtracted from b is at most 21.

Answers

This is my answer that's a less than or equal sign

A tree casts a shadow that is 18 feet in length. If the angle of elevation is 28 degrees, which of the following best represents the height of the tree?

Answers

to find the height

multiply the length of shadow by the tangent of the angle

18 * tan(28) =9.5708

the tree is around 9.6 feet tall

The angle of elevation is the angle at which the object is viewed from below. The height of the tree is 8,45feet

Angle of elevation

The angle of elevation is the angle at which the object is viewed from below.

If tree casts a shadow that is 18 feet in length at the angle of 28 degrees, the height is calculated as:

sin theta = opposite/hypotenuse

sin 28 = H/18
H = 18sin28
H = 8.45 feet

Hence the height of the tree is 8,45feet

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A sailfish can swim up to 68 miles per hour. At this rate, how far can a sailfish swim in 1 fourth hour?

Answers

1/4 of an hour

68 miles per hour

multiply 68 by 1/4 = 68/1 *1/4 = 68/4

divide 68 by 4

68/4 =17

it can swim 17 miles

17 miles
you just divide 1/4 by 68 and you get 17

17.16 is 62.4%of what

Answers

divide

17.16/0.624 = 27.5

Grace was given the description “three less than the quotient of a number squared and nine, increased by eight” and was asked to evaluate it when n = 6. Her work is shown below.

Step 1: mc021-1.jpg
Step 2: mc021-2.jpg
Step 3: mc021-3.jpg
Step 4: mc021-4.jpg
Step 5: 7

In which step did she make an error?
step 1
step 2
step 4
step 5

Answers

Final answer:

Grace made an error in Step 5 of evaluating the expression 'three less than the quotient of a number squared and nine, increased by eight' when n = 6. The correct evaluation should result in 12, not 7 as she calculated. Hence, the error is in Step 5, where she incorrectly concluded that the expression equals 7.

Explanation:

The question asks us to identify the step at which Grace made an error in evaluating the expression given the description “three less than the quotient of a number squared and nine, increased by eight” when n = 6. Without seeing the exact steps Grace took, we can still solve the expression ourselves.

Firstly, let's translate the description into an algebraic expression using n as our number:

“Three less than the quotient of a number squared and nine” can be expressed as ((n^2)/9) - 3.

Then, we “increase by eight” to get the final expression: ((n^2)/9) - 3 + 8.

If n = 6, we substitute in the value to get: ((6^2)/9) - 3 + 8, which simplifies to (36/9) - 3 + 8 = 4 + 8 = 12.

Thus, the correct answer when evaluating the expression for n = 6 is 12. Grace's error appears to have occurred in Step 5, where she incorrectly evaluated the final sum as 7.

Which of this is tru

Answers

C because 19x899 equals 17081

Two spheres of the same density have a ratio of 9 to 16 in surface area. If the small sphere weighs 15 kg, what does the large sphere weigh?

Answers

surface area of a sphere = 4 pi r^2

radius of small sphere = sqrt (9/4pi) = 0.8463

radius of larger one = sqrt (16/4pi) = 1.1284

ratio of the weights is 1.1284^3 : 0.8463^3 = 2.37

large sphere weighs 15 * 2.37 = 35.55 kg

Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum.

Answers

Your final answer would be 2/3.

The LCD would be 12.

You would have to multiply both the top and bottom of 1/4 to get the denominator to 12.

To do this, you multiply it both the numerator and denominator by 3.

This would leave you with 3/12.

The second fraction already has a denominator of 12 so we will just leave it as is.

Then you add.

3/12 + 5/12

This would give you

8/12

Then you simplify it or "reduce it" by dividing both the top and bottom by 4 to get your final answer.

2/3

The simplest form expression for the addition of the fractions given using the lowest common multiple of of the denominator is 2/3.

Given the fractions :

1/4 + 5/12

The lowest common multiple of the denominator ;

Lowest common multiple of 4 and 12 = 12

1/4 + 5/12 = (3 + 5) / 12

1/4 + 5/12 = 8/12

Expressing in simplest form :

8/12 = 2/3

Therefore, the simplest form expression of the addition is 2/3

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Two equations are shown: Equation A y = 4 over x + 3 Equation B y = −2x − 4 Which statement best compares the graphs of the two equations? Both are nonlinear. Both are linear. Equation A is nonlinear and Equation B is linear. Equation A is linear and Equation B is nonlinear.

SHOW WORK!!

Answers

The given equations are
A. [tex]y= \frac{4}{x}+3 [/tex]
B. y = -2x - 4

Equation A is nonlinear.
Equation B is linear.
The graphs are shown below.

Answer:
Equation A is nonlinear and equation B is linear.

Answer:

The answer is C. Equation A is nonlinear and Equation B is linear.

Hope This Helps!

two consecutive even integers have a sum of 346. Find the smailler of these two numbers

Answers

Assume two numbers are n and n+2

Then n+ n+2 = 346 -> 2n = 344 -> n= 172

So the smaller one is 172, another one is 174

Answer:

Smallest number = 172

Step-by-step explanation:

Two consecutive even integers have a sum of 346.

Let x be the smallest number.

We have other number = x + 2

We also have

x + x + 2 = 346

2x + 2 = 346

2 x = 344

x = 172

Smallest number = 172, Other number = 172 + 2 = 174

Smallest number = 172

NEED URGENT HELP!

Match the graph with the correct equation.

y – 5= –(x + 3)

y – 3 = –(x + 5)

y – 3 = (x + 5)

y + 3 = –(x + 5)

Answers

(0, -2) (-2, 0)

slope = 2/-2 = -1

if x = -5, y = 3

equation
y - 3 = -1(x +5)
y - 3 = - (x + 5)

answer

y – 3 = –(x + 5)

Answer: The correct option is (B) [tex]y-3=-(x+5).[/tex]

Step-by-step explanation: We are given to match the graph shown with the correct equation.

From the graph, we note that

(-5, 3) and (0, -2) are two points that lie on the line graph.

So, the slope of the given graph is

[tex]m=\dfrac{-2-3}{0-(-5)}\\\\\\\Rightarrow m=\dfrac{-5}{5}\\\\\Rightarrow m=-1.[/tex]

Since the point (-5, 3) lies on the line, so its equation in point-slope form will be

[tex]y-3=m(x-(-5))\\\\\Rightarrow y-3=-(x+5).[/tex]

Thus, option (B) is CORRECT.

Dominick is planning to take a vacation to either Orlando or Tampa Bay. He wants to go to the city that is warmer, on average. The box plot below shows the temperatures from the previous year during the time that Dominick will take his vacation: box plot labeled Orlando with min at 64.5, Q1 at 65.5, median at 67.5, Q3 at 71.5, max at 72.5. Box plot labeled Tampa Bay with min at 60, Q1 at 63.5, median at 66.25, Q3 at 72.5, max at 74 Which city should Dominick visit, and why?

Answers

Orlando

Median = 67.5
Interquartile Range = Q₃ - Q₁ = 71.5 - 65.5 = 6
Range = Max Value - Min Value = 72.5 - 64.5 = 8

Tampa Bay

Median = 62.25
Interquartile Range = Q₃ - Q₁ = 72.5 - 63.5 = 9
Range = Max Value - Min Value = 74 - 60 = 14

From the three values that we can read from the box plots, Orlando has the higher median, lower interquartile range and lower range.

Lower interquartile range and range indicates a more consistent data, so we can say that Orlando has more consistent warmer temperature than Tampa Bay.

Dominick should visit Orlando

Answer:

He should visit Orlando. The median is higher and the range is smaller, so the temperature is higher on average.

Step-by-step explanation:

Bryan is observing the velocity of a cyclist at different times. After four hours, the velocity of the cyclist is 15 km/h. After seven hours, the velocity of the cyclist is 12 km/h.

Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. Show your work and define the variables used. (5 points)

Part B: How can you graph the equations obtained in Part A for the first 12 hours? (5 points)

Answers

Part A.

What we can do to solve this problem is to assume that the acceleration of Bryan is constant so that the velocity function is linear. The standard form of a linear function is in the form:

y = m x + b

or in this case:

v = m t + b

where v is velocity and t is time, b is the y –intercept of the equation

The slope m can be calculated by:

m = (v2 – v1) / (t2 – t1)

m = (12 – 15) / (7 – 4)

m = -1

Since slope is negative therefore this means the cyclist are constantly decelerating. The equation then becomes:

v = - t + b

Now finding for b by plugging in any data pair:

15 = - (4) + b

b = 19

So the complete equation is:

v = - t + 19

This means that the initial velocity of the cyclists at t = 0 is 19 km / h.

Part B. What we can do to graph the equation is to calculate for the values of v from t = 0 to 12, then plot all these values in the Cartesian plane then connect the dots.

Ankur estimated the quotient of 15 1/3 divided by (-4 2/3) to be 3. Which best describes his error?

Answers

When dividing a positive number by a negative number, the result is negative.
A better estimation would be -3.

Answer:

the anwser is b hope it helped

1.If 70% is £14, what is the full cost
2.4 bags of cement do 18msquared, how many msquared can be done with 7 bags
3.5x+1=3
4.find the nthe term of this sequence 7,12,17,22,27
4.if t(n)=6n+2 what is the 3rd term

Answers

1) £20
2) 18/4 * 7 = 31,5msquared
3) X= (3-1)/5 = 2/5 = 0.4
4) A(n) = 2 + 5n
5) t(3) = 6*3 + 2 = 20

What is the value of x in the equation −x = 6 − 4x + 18?
24
8
−8
−24

Answers

−x = 6 − 4x + 18
3x = 24
x = 8

answer
8 (second choice)

-x=6-4x+18
4x-x=24
3x=24
x=24/3
x=8
:)

if structural steel installed in 2.75 floors of a building 2 3/8 day , how long will it take to install steel in 11 floors

Answers

I will take 9.5 days, to install steel in 11 floors.

X to the power of three equals 343

Answers

x^3= 343

Find the cube root of both sides
∛x^3 = ∛343

x= 7

Final answer: x=7

32.1in.×28.2in.×1ft.=

Answers

since 2 of the 3 are in inches convert the 3rd one to inches

1 foot = 12 inches

now multiply 32.1 x 28.2 x 12 = 10,862.64 cubic inches

4.35 / 5 show the work

Answers

You can use long division. There are 0 5's in 4, so put a 0. Then put the demical point next. Bring the 3 down. How many 5's are in 43? 8. Put 8 next to the right of the decimal point. 3 is a remainder. Bring down the 5. That makes 35. There are 7 5's in 35, so you put 7 next to the 8. 0.87 is the answer. There is no remainder, so you do not have to worry about anything like that.

     _0.86_______
5  I 4.30
     -0.0
   = 4 3 0
   - 4 3 0
    =   0

So, your answer is 0.86

How does a digit in the ten thousands place compare to a digit in the thousands place

Answers

Well technically they mean nothing to each other in a sense. But for a purpose the digit in the Ten Thousands place holds a stronger/higher value. Meaning that the number in the Ten Thousands place is worth more than a number in the Thousands place.

Which is not a true statement
0.3711 >0.3801

Answers

0.3711>0.3801 is not a true statement

The statement up above is not true

NEED HELP FAST!!
5.
(05.03 MC)
Freddy reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks:

Which equation best models the relationship between x and y? (1 point)

y = –5x + 40

y = –40x + 280

y = –40x + 200

y = –5x + 200

Answers

(0,200)(1,160)
slope = (160 - 200) / (1 - 0) = -40
u have a y int (where the line crosses the y axis) at (0,200)

in y = mx + b form, the slope is in the m position and the y int is in the b position...
so ur equation is : y = -40x + 200

graph the opposite of the number shown on each number line

Answers

Okay so for number 3 the answer would be 8. For the number 4 the answer would be -4. For number 7 the answer would be -3 and number 9 would be just 0.

68.32 divided by 2.8

Answers

Answer:

24.4

Step-by-step explanation:

We are asked to divide 68.32 by 2.8.

First of all, we will write our given problem as a division problem.

[tex]\frac{68.32}{2.8}[/tex]

We can see that our numerator has two digits after decimal and denominator has one digit after decimal, so we will multiply numerator and denominator by 100 as:

[tex]\frac{68.32\times 100}{2.8\times 100}[/tex]

[tex]\frac{6832}{280}=24.4[/tex]

Therefore, the quotient of our given problem is 24.4.

24.4

Further explanation

We will determine the quotient of 68.32 against 2.8.

Notes:

The division process is the arithmetic operation of the distribution of equal parts of a number. The division is the opposite of the multiplication process.

24.4 __

2.8 ) 6 8 . 3 2

- 6 7 . 2 [tex]\downarrow[/tex]

1 . 1 2

- 1 . 1 2

Please see the attached picture.

The terminology of the division operation associated with the above scheme is as follows:

[tex]\boxed{ \ 68.32 \rightarrow the \ dividend \ }[/tex][tex]\boxed{ \ 2.8 \rightarrow the \ divisor \ }[/tex][tex]\boxed{ \ 24.4 \rightarrow the \ quotient \ }[/tex] [tex]\boxed{ \ 0 \rightarrow the \ remainder \ }[/tex]

Therefore, 68.32 divided by 2.8 is divisible because the remainder is zero.

Thus, the quotient of 68.32 divided by 2.8 is 24.4.

- - - - - - - - - -

Alternative Strategy

[tex]\boxed{ \ 68.32 = 56 + 12.32 \ }[/tex]

[tex]\boxed{ \ 68.32 \div 2.8 = (56 \div 2.8) + (12.32 \div 2.8) \ }[/tex]

[tex]\boxed{ \ 68.32 \div 2.8 = 20 + 4.4 \ }[/tex]

[tex]\boxed{\boxed{ \ 68.32 : 2.8 = 24.4 \ }}[/tex]

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Keywords: 68.32 divided by 2.8, find the quotient, 24.4, the division operation, dividend, divisor, the remainder, division scheme

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