A shipping box is in the shape of a cube. Each side measures \(3c^{6} d^{2}\) inches. Express the volume of the cube as a monomial.

Answers

Answer 1

The expression for the volume of the cube is 27c¹⁸d⁶.

What is the volume of the cube?

The volume of a cube is equal to the product of the length, width, and height of a cube.

The volume of a cube is length × breadth× height

Given that each side of the cube is 3c⁶d² inches.

The volume of a cube is given by the formula as

The volume of a cube =  length × breadth× height

Since each side of the cube = 3c⁶d² inches.

Substituting the value of the side,

The volume of a cube =  3c⁶d²  × 3c⁶d² × 3c⁶d²

The volume of a cube = (3c⁶d² )³

The volume of a cube = 27c¹⁸d⁶

Therefore, the expression for the volume of the cube is 27c¹⁸d⁶.

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Related Questions

why does paramcium never die​

Answers

Answer:

the paracium never dies because it keeps on reproducing

Step-by-step explanation:

the paracium lets say it starts as 1

and then taht 1 divides inti

1/2 and 1/2 and that 1/2 turns into 1

and it keeps on dividing and multiplying

Is this true or false? Explain your thinking.
4(5 +3) =(4 x 5) + (4 x 3)= 20 +12

Answers

Answer:

True

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

GIVEN

Approximate the area of the circle segment bounded by DE and arc DE if r =20 and theta=47°. Photo Attached

Approximate the area of the circle segment bounded by DE and arc DE if r =20 and theta=47. Photo Attached

Answers

Answer: 1256.63706

Step-by-step explanation: A=(π20)2

The approximate area of the circle segment bounded by arc DE and chord DE is approximately 17.72 square units.

To approximate the area of the circle segment bounded by arc DE and chord DE, you can use the following formula:

Area = (1/2) * r^2 * (θ - sinθ)

Where:

r is the radius of the circle (r = 20 in your case).

θ is the central angle in radians (47° converted to radians is approximately 0.8203 radians).

Let's calculate it:

θ = 47° * (π / 180) ≈ 0.8203 radians

Now, plug these values into the formula:

Area = (1/2) * (20^2) * (0.8203 - sin(0.8203))

Area ≈ (1/2) * 400 * (0.8203 - 0.7317)

Area ≈ (1/2) * 400 * 0.0886

Area ≈ 17.72 square units

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What is the awnser to this if you get it right I will mark you

What is the awnser to this if you get it right I will mark you

Answers

I think it's D. 48 ft²

because 8 × 6 is 48

I need help with this math

I need help with this math

Answers

Answer:

500 and 4.3

Step-by-step explanation:

A decigram is one-tenth of a gram and a kilometer is one-thousandth of a meter. Using this information, we must multiply the given amounts by the values.

5000 × 0.1 = 500

4300 × 0.001 = 4.3

Thus, the answers [in order] are 500 and 4.3

Hope this helps and feel free to ask any questions.

Please help me and explain thank you so much I appreciate it

Please help me and explain thank you so much I appreciate it

Answers

Answer:

He gets 32, $10 bills.

Step-by-step explanation:

He puts in $630.

3 times $50 equals $150.

8 times $20 equals $160.

$150 plus $160 equals $310.

$630 minus $310 equals $320.

$320 divided by 10 equals 32.

So he gets 32, $10 bills.

0.834
0.861
0.927
0.877
0.831
0.925
0.912
0.83
0.849
0.933
0.884
find mean, median, maximum, minimum, and mode

Answers

Mean ≈ 0.874

Median ≈ 0.877

Maximum = 0.933

Minimum = 0.83

Mode = None

To find the mean, median, maximum, minimum, and mode of the given numbers:

Mean: The mean is the average of a set of numbers.

To calculate the mean, add up all the numbers and divide the sum by the total count.

Mean = (0.834 + 0.861 + 0.927 + 0.877 + 0.831 + 0.925 + 0.912 + 0.83 + 0.849 + 0.933 + 0.884) / 11

Mean ≈ 0.874

Median: The median is the middle value when the numbers are arranged in ascending or descending order.

Since there are 11 numbers, the median would be the 6th number when arranged in order.

Arranging the numbers in ascending order:

0.83, 0.831, 0.834, 0.849, 0.861, 0.877, 0.884, 0.912, 0.925, 0.927, 0.933

Median ≈ 0.877

Maximum: The maximum is the largest value among the given numbers.

Maximum = 0.933

Minimum: The minimum is the smallest value among the given numbers.

Minimum = 0.83

Mode: The mode is the value(s) that appear most frequently in the given numbers.

If there is no value that appears more than once, there is no mode.

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Question 4 of 10
Which of the following formulas would find the lateral area of a right cylinder
with height equal to hand r as the radius?
A. LA = 2012 + 2q rh
B. LA = 20
C. LA = 2 r rh
D. LA = 27.12
SUBMIT

Answers

Answer:

LA = 2πrh

Step-by-step explanation:

The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.

The lateral area of a cylinder is the area of its surfaces excluding the area of its base and top

LA = 2πrh

What is the equation of the line that passes through the point (4, -1) and has a
slope of -2?

Answers

Answer:

y = - 2x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given m = - 2 , then

y = - 2x + c ← is the partial equation

to find c substitute (4, - 1 ) into the partial equation

- 1 = - 2(4) + c = - 8 + c ( add 8 to both sides )

7 = c

y = - 2x + 7 ← equation of line

if you have the answer please reply im having trouble need the steps.

if you have the answer please reply im having trouble need the steps.

Answers

Over a given period of time, Seth sold more water bottles than Hayden.

To compare the number of water bottles sold by Seth and Hayden, we need to find out the equation for Seth's sales rate. Looking at the graph, we can see that Seth sold 10 bottles on day 1, 20 bottles on day 2, 30 bottles on day 3, and 40 bottles on day 4.

We can find the average daily sales rate for Seth by dividing the total bottles sold by the number of days:

Average daily sales rate for Seth = (10+20+30+40)/4 = 25

The equation given for Hayden's sales rate is y = 11x, where y represents the number of bottles sold and x represents the number of days. This equation shows that Hayden sells 11 bottles per day.

Comparing the two sales rates, we can see that Seth sold more water bottles. On average, Seth sold 25 bottles per day, while Hayden sold only 11 bottles per day. Therefore, over a given period of time, Seth sold more water bottles than Hayden.

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Select the correct answer.
Each statement describes a transformation of the graph of f(x)= root^3 x .Which statement correctly describes the graph of y= f(x - 7) + 3?
A. It is the graph of f translated 3 units up and 7 units to the left
B. It is the graph of f translated 7 units down and 3 units to the right.
C. It is the graph of f translated 7 units up and 3 units to the right.
D. It is the graph of f translated 3 units up and 7 units to the right

Select the correct answer.Each statement describes a transformation of the graph of f(x)= root^3 x .Which

Answers

Answer:

its C

Step-by-step explanation:

hope it helps

100 Points! Graph the function. State the domain and range of the function. Photo attached. Thank you!

100 Points! Graph the function. State the domain and range of the function. Photo attached. Thank you!

Answers

Answer:

Domain:  \(x\geq -2\)

Range: \(y\geq 0\)

Step-by-step explanation:

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.

have a great day and thx for your inquiry :)

100 Points! Graph the function. State the domain and range of the function. Photo attached. Thank you!

Show Example
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Question 8-10 Points
May 20, 3:02:53 PM
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Determine the type of correlation represented in the scatter plot below.
The graph shows
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Show Example&lt; Previous QuestionYahya OmarQuestion 8-10 PointsMay 20, 3:02:53 PMWatch help videoDetermine

Answers

Answer:

positive correlation

Step-by-step explanation:

When the y variable tends to increase as the x variable increases, we say that there is a positive correlation between the variables.

Therefore, the graph shows a positive correlation.

of 30 students, 1/3 play sports. of those who play sports,2/5 play soccer. How many students play soccer?

Answers

Answer: 4

Step-by-step explanation:

1 third of 30 is 10 and 2/5s of 10 is 4

i need help can everyone please help me

i need help can everyone please help me

Answers

Since AC is the angle bisector of ∠BAD, the flowchart proof should be completed as follows;

Statement                                 Reason

AC bisects ∠BAD                      Given

∠BAC ≅ ∠DAC                         Definition of an angle bisector.

∠BCA ≅ ∠DCA                         Congruent angles of a triangle (SAS).

AC ≅ AC                                   Reflexive property

ΔABC ≅ ΔADC                         AAS postulate

What is an angle bisector?

In Mathematics and Geometry, an angle bisector can be defined as a type of line, ray, or segment, that typically bisects or divides a line segment exactly into two (2) equal and congruent angles.

By applying the angle bisector theorem to the given triangle, we have the following statements and justifications:

AC bisects ∠BAD       Given

∠BAC ≅ ∠DAC           Definition of an angle bisector.

Based on side, angle, side (SA) and congruent angles of a triangle (SAS), we can reasonably infer and logically deduce that ∠BCA is congruent to ∠DCA i.e ∠BCA ≅ ∠DCA.

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A waitress sold 11 ribeye steak dinners and 14 grilled salmon dinners, totaling $551.11 on a particular day. Another day she sold 15 ribeye steak dinners and 7 grilled salmon dinners, totaling $581.47. How much did each type of dinner cost?

Answers

Answer:

A ribeye steak dinner costs $32.23 and a grilled salmon dinner costs $14.04.

Step-by-step explanation:

Let's use variables to represent the cost of each dinner. Let's say that the cost of a ribeye steak dinner is "r" and the cost of a grilled salmon dinner is "s".

From the first day's sales, we know:

11r + 14s = 551.11

From the second day's sales, we know:

15r + 7s = 581.47

We now have two equations with two variables, which we can solve using elimination or substitution.

Let's use elimination. If we multiply the first equation by 15 and the second equation by 11, we can eliminate the "r" variable:

165r + 210s = 8266.65165r + 77s = 6396.17

Subtracting the second equation from the first, we get:

133s = 1870.48

Dividing both sides by 133, we get:

s = 14.04

So a grilled salmon dinner costs $14.04.

We can substitute this value back into one of the original equations to solve for "r". Let's use the first equation:

11r + 14(14.04) = 551.1111r + 196.56 = 551.1111r = 354.55r = 32.23

So a ribeye steak dinner costs $32.23.

Therefore, a ribeye steak dinner costs $32.23 and a grilled salmon dinner costs $14.04.

An ice cube is melting, and the lengths of its sides are decreasing at a rate of 0.8 millimeters per minute At what rate is the volume of the ice cube decreasing when the lengths of the sides of the cube are equal to 18 millimeters? Give your answer correct to the nearest cubic millimeter per minute. Rate of decrease: millimeters3 per minute.

Answers

Answer:

The rate of decrease is: \(43.2mm^3/min\)

Step-by-step explanation:

Given

\(l = 18mm\)

\(\frac{dl}{dt} = -0.8mm/min\) ---- We used minus because the rate is decreasing

Required

Rate of decrease when: \(l = 18mm\)

The volume of the cube is:

\(V = l^3\)

Differentiate

\(\frac{dV}{dl} = 3l^2\)

Make dV the subject

\(dV = 3l^2 \cdot dl\)

Divide both sides by dt

\(\frac{dV}{dt} = 3l^2 \cdot \frac{dl}{dt}\)

Given that: \(l = 18mm\) and \(\frac{dl}{dt} = -0.8mm/min\)

\(\frac{dV}{dt} = 3 * (18mm)^2 * (-0.8mm/min)\)

\(\frac{dV}{dt} = 3 * 18 *-0.8mm^3/min\)

\(\frac{dV}{dt} = -43.2mm^3/min\)

Hence, the rate of decrease is: 43.2mm^3/min

hellllp meeeeeeee plzzzz​

hellllp meeeeeeee plzzzz

Answers

Answer: 75 68 28 77

Step-by-step explanation:

make circle

make 4 parts in the circle

make one 75 degrees

another one 68

another one 28

and last one 77

Carson has a package to mail the package is 87 inches Long the shipping company only Mail Packages that are up to seven feet long can Carson mail the package show your work and add complete sentences to your answer.​ ASAP PLS

Answers

Answer:

Carson can't mail the package

The reasoning for why he can't mail it is because in every foot there is 12 inches and if u multiply 12 by 7 you get 84 meaning Carson's package is larger then 7ft

Packaging and Branding; Your Small Business Shipping Strategy; 5 Ways ... Download the complete in-depth, 16 chapter guide. ... USPS offers cubic pricing for Priority Mail shipments

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7 raised to the power 2 divided by 7 raised to the power 3

Answers

The value of given expression 7 raised to the power 2 divided by 7 raised to the power 3 is 1 / 7

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Given expression,

7 raised to the power 2 divided by 7 raised to the power 3

7 ^ 2 / 7 ^ 3

The value of a ^ m / a ^ n  = a ^ m-n

= 7 ^ (2-3)

= 7 ^ ( -1)

= 1 / 7 .

Therefore, The value of given expression 7 raised to the power 2 divided by 7 raised to the power 3 is 1 / 7

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Kia rides her bicycle at 20 miles per hour. Which equation represents the situation?

Let h represent the hours traveled.
Let d represent the distance traveled.

d = 20h
h = 20d
d = 20 + h
h = 20 – d

Answers

The equation that represents the situation is d = 20h

How to determine the equation?

The given parameters are:

Speed = 20 miles per hour

Let h represent the hours traveled.

Let d represent the distance traveled.

Distance is calculated as:

d = SPeed * h

So, we have

d = 20h

Hence, the equation that represents the situation is d = 20h

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Describe a situation that can be represented by the expression –15 + 8.

Answers

Answer:

-7

Step-by-step explanation:

Tiger Woods was 15 under par after the third round of a golf tournament, but was 8 over par for the fourth round. So, his score for the entire tournament was -15 + 8 = -7 (That is, 7 under par).

What is 52114 divided by 47

Answers

Answer:

1108.808511

Step-by-step explanation:

Answer:11108.80

Step-by-step explanation:

pls help me giving brainless.​

pls help me giving brainless.

Answers

Answer: about 8 dollars

Step-by-step explanation:

2*12=24

8*12=96

12*12=144

Answer:

8 dollars

Step-by-step explanation:

the math comes out to 6.5 dollars per person and 8 is the closest

Can you please answer this question for me please.

Can you please answer this question for me please.

Answers

9514 1404 393

Answer:

  (a)  3/2

Step-by-step explanation:

The scale factor is the ratio of corresponding side lengths.

 sf = 63/42 = (21×3)/(21×2) = 3/2

36x^2=y^2
Does the equation define y as a function of x ?

Answers

Answer:

ya the equation divides y as a function of x

the sum of 23 and twice a number

the sum of 23 and twice a number

Answers

Answer:

23 + 2n

Step-by-step explanation:

Hello!

"Twice a number" can be represented as 2 times n, or 2n

"The sum of 23 and twice a number" can be shown as 23 + 2n, given that twice a number is 2n.

Other common phrases in algebra:

"The difference of a and b" = (a) - (b)"The product of a and b" = (a) * (b)"The quotient of a and b" = (a) ÷ (b)

A box of six pencils cost £1.56. A box of eight rubbers cost £2.72. What is the difference in cost between one pencil and one rubber?​

Answers

By answering the presented question, we may conclude that As a result, inequality the cost difference between one pencil and one rubber is £0.08.

What is inequality?

In mathematics, an inequality is a non-equal connection between two expressions or values. As a result, imbalance leads to inequity. In mathematics, an inequality connects two values that are not equal. Inequality is not the same as equality. When two values are not equal, the not equal symbol is typically used (). Various disparities, no matter how little or huge, are utilised to contrast values. Many basic inequalities may be solved by altering the two sides until just the variables remain. Yet, a lot of factors contribute to inequality: Negative values are split or added on both sides. Exchange left and right.

To determine the cost difference between one pencil and one rubber, we must first determine the cost per item for each product.

The price of a pencil is 1.56 / 6 = £0.26.

The price of a rubber is 2.72 / 8 = £0.34.

Therefore the cost difference between one pencil and one rubber is:

£0.34 - £0.26 = £0.08

As a result, the cost difference between one pencil and one rubber is £0.08.

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Please help me thank you

Please help me thank you

Answers

Answer:

I don't see the photo

Step-by-step explanation:

y = 5/2x -11 that is the correct answer mark me as brainliest

halp pls will give brainlkiest

halp pls will give brainlkiest

Answers

Answer:

The 1st one

hope this helped :)

(-4)(2)(-3)(6)=(-4)(-3)(2)(6) is POSITIVE because (-#)(-#)=+ and (+#)(+#)=+, so the answer is A
Other Questions
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How did home field advantage help the colonists Rewrite the equation below so that it does not have fractions.224+3x=5Do not use decimals in your answer.+ [x = 0X ? september would the earth be experiencing a solstice or an equinox how do you know Please help solving for X! Construct a finite state machine that changes every other bit starting with the second bit of an input string and leaves the other bits unchanged Pharoah Manufacturing uses an activity-based costing system for its cutting department. The activity cost totals $154546. The number of cuts is the cost driver. The cutting department processed a total of 9600 batches with an average cuts per batch of 6 and total cuts of 46550. What is the activity rate for the cutting department? $3.32 per cut $1600.00 per cut $257.58 per batch $16.10 per cut 9.8 LAB: Input-Output Exceptions: Getting a Valid File In this exercise you will continue with exception processing for file input-output. 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