The volume of a rectangular prism is given by the formula V=lwh, where I is the length of the prism, w is the width, and h is the height. Which expression represents the volume of the following rectangular prism?

The Volume Of A Rectangular Prism Is Given By The Formula V=lwh, Where I Is The Length Of The Prism,

Answers

Answer 1

Answer:

The answer is [tex]6x^{3} +39x^{2}+54x[/tex]

Step-by-step explanation:

Volume of the rectangular prism = Length * Width * Height

Length (l) = [tex]x+2[/tex]

Width (w) = [tex]3x[/tex]

Height (h) = [tex]2x+9[/tex]

By substituting these values to the equation above,

Volume of the rectangular prism = [tex](x+2)*3x*(2x+9)[/tex]

                                                      =[tex](3x^{2} +6x)*(2x+9)[/tex]

                                                      =[tex]6x^{3} +27x^{2} +12x^{2} +54x[/tex]

                                                      =[tex]6x^{3} +39x^{2}+54x[/tex]

Therefore,

The answer is [tex]6x^{3} +39x^{2}+54x[/tex]


Answer 2

Answer:

Volume = [tex]6x^3+39x^2+54x[/tex]

Step-by-step explanation:

Prism is an object which has two  bases which are parallel to each other and other faces are parallelograms .

Rectangular prism is a three dimensional figure which has 6 faces which are all rectangles .

Let l be the length of rectangular prism , w be the width of prism and h be the height of prism .

Then volume of rectangular prism is equal to [tex]lwh[/tex] .

We will also use formula: [tex]a(b+c)=ab+ac[/tex]

Here,

[tex]l=x+2\\w=3x\\h=2x+9[/tex]

Therefore,

volume of rectangular prism is calculated as follows:

[tex]V=\left ( x+2 \right )\left ( 3x \right )\left ( 2x+9 \right )\\=\left ( 3x^2+6x \right )\left ( 2x+9 \right )\\=3x^2\left ( 2x+9 \right )+6x\left ( 2x+9 \right )\\=6x^3+27x^2+12x^2+54x\\=6x^3+39x^2+54x[/tex]


Related Questions

Which value below is included in the solution set for the inequality statement?
-3(x - 4) > 6(x - 1)

Answers

[tex]-3(x-4) > 6(x-1)\qquad\text{use distributive property}\\\\(-3)(x)+(-3)(-4) > (6)(x) + (6)(-1)\\\\-3x+12 > 6x-6\qquad|\text{subtract 12 from both sides}\\\\-3x > 6x-18\qquad|\text{subtract 6x from both sides}\\\\-9x > -18\qquad|\text{change the signs}\\\\9x < 18\qquad|\text{divide both sides by 9}\\\\x < 2[/tex]

I need help solving this: Solve: 6 = 2m + 14

Answers

Take the like terms on one side:

2m=6-14

2m = 8

m= 8/2

m= 4
2m = 6 - 14
2m = 8
I hope this helps I'm not really sure

What is the probability of rolling at least one 5 or 6 when rolling the dice two times?

Answers

The total outcome of rolling the dice twice is:
6×6
=36

And there are in total 20 outcomes of rolling at least one 5 or 6.

The probability will then be:

20/36
=20÷4/36÷4
=5/9

Therefore the answer is 5/9.

Hope it helps!

what is -12=2+5v+2v

Answers

2+5y+2y=-12

2+7v=-12

2+7y-2=-12-2

7y=-14

7y/7=-14/7

y=-2

the answer to your question is

v= -2

What’s the answer to this equation? 5-3(2a-6)=-6a+13

Answers

Answer:

12a - 31 = 0

Step-by-step explanation:

3(2a - 6) = -6a + 13

6a - 18 = -6a + 13

6a - 18 + 6a - 13 = 0

12a - 31 = 0

can some one help me please

Answers

First one 18 yards                                                                                                               Second one:204 inches                                                                                                  Third :36 foot


a. 54 ft. =18 yd. 17 ft. = 204 in. 12 yd. = 36 ft.

What’s |z-15|+5c+j z=10 c=-2 j=-4

Answers

Answer:

-9

Step-by-step explanation:

10-15 = -5 I-5I= 5

5*-2= -10

5+-10+-4 = -9

If the opposite of g(x) is –g(x), then –g(x) = ?

Answers

Answer:

if you are looking for g(x)=x-6 the opp is....... -g(x)=-x+6

Step-by-step explanation:


Answer:  -g(x)=-x+6

Step-by-step explanation:

order the following numbers from least to greatest.


4.6 ⋅ 10^9, 7.3 ⋅ 10^9 , 3.9 ⋅ 10^15 , 2.1 ⋅ 10^18

Answers

The order you put is already correct.

Answer:

correct

Step-by-step explanation:

Estimate the product by rounding 5 x 5,503

Answers

2500 i think. hope this helps.

27515 Would be the answer now I want YOU to try to estimate it.


the larger number is 18 more than twice the smaller. if the sum of. the two numbers is 93, find both numbers.

Answers

[tex]<b>HEY THERE ![/tex]

Let the smaller number is X

and the larger number is Y

NOW according to question the larger number is 18 more than twice the smaller.

so y = 2x+18.......(1)

And the sum of. the two numbers is 93
So x+y = 93......(2)

From equation (1) put the value of y in equation (2)
=> x+2x+18= 93
Subtract 18 on both sides
=> 3x = 75
Divide by 3 on both sides
=> x = 15

Now put this new value of x in equation (1)
y = 2×15+18
=> y = 48

So the smaller number is 15 and the larger number is 48.

HOPE IT HELPED YOU.

The larger number is 68 and the smaller number is 25.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the larger number is 18 more than twice the smaller. if the sum of. the two numbers are 93. let the larger number be L and the smaller number be S.

L = 18 + 2S

L + S = 93

18 + 2S + S = 93

18 + 3S = 93

3S = 93 - 18

3S = 75

S = 25

L + S = 93

L + 25 = 93

L = 93 - 25

L = 68

Therefore, the larger number is 68 and the smaller number is 25.

To know more about an expression follow

https://brainly.com/question/20783900

#SPJ2

What is the degree of the monomial? 3x^10
10
3
13
30

Answers

i would say 10 if it is an exponent

The degree of the monomial 3x¹⁰ is 10, which is the sum of the exponents of the variables it contains.

The degree of a monomial is the sum of the exponents of all its variables. In the monomial 3x¹⁰, there is only one variable (x) with an exponent of 10. Therefore, the degree of this monomial is 10.

No other operations, such as cubing of exponentials, are relevant in this context.

You are remodeling your kitchen. You’ve contacted two tiling companies who gladly told you how long it took their workers to tile a floor of a similar size. Jim completed half the floor in 12 hours . Pete completed the other half in 10 hours. If Pete can lay 25 more tiles per hour than Jim, what equation would you use to find the rate that Jim can lay tiles. Let x represent Jim’s rate

Answers

As given, let Jim's rate = x

Let Pete's rate =y

Jim completed half the floor in 12 hours so it's [tex]12\times rate[/tex]= 12x 

Pete completed the other half of the floor in 10 hours so its [tex]10\times rate[/tex]=10y

As floor area is equal so,

[tex]12x=10y[/tex] .............(1)

Now, given is that Pete can lay 25 more tiles per hour than Jim, this gives=

[tex]y=x+25[/tex] ...... (2)

Putting the value of y from equation (2) in equation (1) , we get

[tex]12x=10(x+25)[/tex]

So, the equation is : [tex]12x=10(x+25)[/tex]

If you want to solve it, it becomes:

[tex]12x=10x+250[/tex]

[tex]2x=250[/tex]

[tex]x=125[/tex]

Hence, Jim can lay 125 tiles and Pete can lay 25 more so 125+25=150 tiles.



Answer:

12x=10(x+25)

Step-by-step explanation:

apex

Please simplify the following distributive property expression:

11(9+4v)

Answers

[tex]11(9+4v)\qquad|\text{use distributive property}\\\\(11)(9)+(11)(4v)=99+44v[/tex]

Find three consecutive integers whose sum is 35.

Answers

5, 10, and 20. (This is your answer.)

5 + 10 + 20 = 35.

These numbers are also consecutive, meaning each comes after the other on a number-line.

Hope this helps!

find the slope of the line

Answers

answer:

slope: -[tex]\frac{3}{4}[/tex]

step-by-step explanation:

for this problem we are asked to find the slope of the line

our equation for slope is: [tex]\frac{rise}{run}[/tex]

so using our graph we need to find both the rise and run to get from one point to another

going from the point (-2, -2) to (2, 5)

rise: -3 (it is negative because we are moving down)

run: 4

so now plug this into our slope equation: [tex]\frac{rise}{run}[/tex]

making our equation -[tex]\frac{3}{4}[/tex]

We can use the points (-2, -2) and (2, -5) to solve.

Formula: y2-y1/x2-x1

= -5-(-2)/2-(-2)

= -3/4

Best of Luck!

At a pet show, There are dogs, cats and rabbits. There are 480 contestants altogether. 1/2 of the contestants are cats, 1/6 of the contestants are rabbits. How many dogs are there? What fraction of the contestants are dogs?

Answers

The fraction of the contestants are dogs which are 17/48.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that there are dogs, cats, and rabbits.

480 contestants altogether. 1/2 of the contestants are cats, and 1/6 of the contestants are rabbits.

Total = 480

Cats = 1/2 x 480 = 240

Rabbit = 1/6 x 480 = 70

Then; the Number of dogs are

480 - 70 - 240

= 170

Therefore, a fraction of the contestants are dogs which is

170/480 = 17/48

Hence, the fraction of the contestants are dogs which are 17/48.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

The sum of 2 and is less than -29

Answers

the answer is 27 I think
Sum means to add, so instead of -29 - 2, the problem is -29 + 2 which equals,
-29 + 2 = -27

The answer is -27

In one version of a trail mix, there are 3 cups of peanuts mixed with 2 cups of raisins . In another version of trail mix, there are 4.5 cups of peanuts mixed with 3 cups of raisins. Are the ratios equivalent for the two mixes? Explain your reasoning

Answers

Ratio of peanuts to raisins in the first version of a trail mix = 3:2.

Ratio of peanuts to raisins in the second version of a trail mix = 4.5:3.

Divide the ratio by 1.5.

Ratio for second mix = 3:2.

Hence, the ratios are equivalent for the two mixtures.

The ratios are equivalent

The ratios are equivalent because when they are simplified, they both are 1.5 : 1

Ratio shows the relationship that exists between values. It shows the proportion of one value in another value.

Ratio of peanuts to raisins in the first version = 3 : 2

To simplify, divide both numbers by 2

1.5 : 1

Ratio of peanuts to raisins in the second version = 4.5 : 3

To simplify, divide both numbers by 3

1.5 : 1

The ratios of the first and second trail mix are equivalent.

To learn more about ratios, please check: https://brainly.com/question/19257327?referrer=searchResults

Please help, i did it just dont want to get a bad grade for homework so need somone to double check.

Answers

A. [tex]f(-5)=7+|-5|=12[/tex]

B. [tex]g(4)=4^3-5=59[/tex]

C. [tex]f(0)=7+|0|=7[/tex]

D. [tex]f(2)=7+|2|=9[/tex]

E. [tex]g(-2)=-2^3-5=-13[/tex]

Hope this helps BangtanBoyScouts

1440 in expanded form

Answers

1+4+4+0 it’s just putting the letters in order and putting a addition mark between em
One thousand four hundred forty

Drag each figure or fraction to show the decimal it represents.


Answers

The decimal equivalent of the fractions and models are ;

0.40.40.750.40.750.9

Evaluating the fractions given ;

A.)

2/5 = 0.4

b.)

The number of portions in the circle = 10

Number of shaded portions = 4

Expressing as a fraction;

4/10 = 0.4

c.)

The number of portions in the rectangle = 4

number of shaded portions = 3

Expressing as a fraction;

3/4 = 0.75

d.)

The number of portions in the square grid = 100

number of shaded portions = 40

Expressing as a fraction;

40/100 = 0.4

e.)

75/100 = 0.75

f.)

90/100 = 0.9

Which lines, if any, must be parallel based on the given diagram?

Answers

I cant really see the letters but the ones that are going straight up. I believe this is the answer because as you can see it's going up without intersecting between each other.

m and n are parallel and p and q are parallel from one another (parallel is when they are side by side and can never intertwine) i think the answer is C

HELP ME HAVING TROUBLE!!!

Answers

It's A because 6^4=6×6×6×6
A power is the number of time that something is multiplied.

I don’t understand this, please help

Answers

Hello !

1.     15 + 37 = 52

2 .    22+ 49 = 71

3 .     33 + 26 = 59

4 .      34 + 18 = 52

I found these answers by adding the squares together .

I figured out question 4 by adding the amount of feet the tree grew.

Final answer:

The subject of this question is English, which involves studying language, literature, and writing. It helps students develop communication and critical thinking skills

In English class, students study various aspects of language, literature, and writing. This can include topics such as grammar, vocabulary, literary analysis, reading comprehension, and creative writing. English is an important subject as it helps students develop strong communication skills, critical thinking abilities, and a deeper understanding of different cultures and perspectives.

A.) Multiply these numbers the quickest and easiest way possible: 87 x 5 x 2 B.) Explain how you were able to quickly determine the product. Justify your reasoning using a property of multiplication.

Answers

It is easy to multiply numbers by 10: you simply have to add an extra zero at the end.


This means that, using associative property, we know that


87 x 5 x 2=(87 x 5) x 2=87 x (5 x 2)


The last expression is the easiest to compute, because we have

87 x (5 x 2) = 87 x 10 = 870

Hope I helped.

The difference of 10 and a number is negative eight

Answers

10 - x = -8

x = 10 + 8

x = 18

-----------------------

10 - 18 = -8

liquid A has a density of 1.4 g/mL , liquid B has a density of 5.9 g/mL and liquid c has a density of 3.2 g/ mL. arrange the three liquids ina density column ( explain your answer)

Answers

Liquid B

Liquid C

Liquid A

Because the denser layers sink and the less dense layers float to the top, just like oil and water, the water is more dense than the oil, that is why the oil floats to the top and the water remains at the bottom:))

Final answer:

At the bottom of the density column there is liquid B with a density of 5.9 g/ml, in the middle liquid C with a density of 3.2 g/ml and in the middle liquid A with a density of 1.4 g/ml be at the top.

Explanation:

To arrange liquids A, B, and C in a density column, you must consider their respective densities, since the highest density liquid stays at the bottom and the lowest density liquid floats at the top. Liquid B has the highest density (5.9 g/ml), then liquid C with a density of 3.2 g/ml, then liquid A with the lowest density, 1.4 g/ml. Therefore, when arranging these liquids in a density column, place liquid B at the bottom, liquid C in the middle, and liquid A at the top.

Learn more about Density Column here:

https://brainly.com/question/20384062

#SPJ2

This is hard for me :(

Answers

Remark

A

You can do the same thing with a program called Desmos. Using this program, I've put A and B (the graphs) in Desmos and attached it to this Answer.

You could just do the same with your graphing calculator if you have one.

The problem is that my graphing calculator won't draw the blue line which is x = - 2

So go to Desmos and put in 2 graphs. the first one is y = - 1/2 x + 3 in red

The second is x =- 2. These are entered on the left of Desmos.

The blue line is x = - 2. You notice that the intersect point is (-2,4). Run your finger straight across until you hit 4. That's all you have to do for the A part.

B

The question has 3 blanks. The first 2 come from the question directions to see if you read those directions. Always a good idea to do that.

first blank  is x = - 2

second blank is x = - 2

Third blank is - 7

The red line is y = 3/2 x - 4

The blue line is x = -2

help Asp please it's do tomorrow

Answers

Hello!

To answer your question we need to follow these steps:

First we will need to subtract the $6 tip from the total of the meal, as a tip is added AFTER tax is applied.Once we subtract 6 from 45.42 we are given 39.42 as our price with tax.The next step is divide 39.42 by 1.08 , or 8% This gives us the total of $36.50 before tax.We will then subtract the price of the fries from out total before tax, giving us the equation $36.50 - $5.00 which gives us a total of $31.50Our last step, is to divide this amount by 3 to find the cost of 1 sandwich. $31.50/3= $10.50

If you have followed these steps correctly you will find that the cost of one sandwich is $10.50!

Other Questions
What does to become less in amount or intensity means Which of these were holy Hindu scriptures written by gurus to help connect people to heavenly forces? A. the Upanishads B. the Mahabharata C. the Ramayana D. the Theravada Mateo reproducira una foto que mide 5 cm por lado a una escala de 3/4cuanto medira el lado del cuadrado de la copia?la medida de la copia sera mayor o menor que la original? You have decided both to open a savings account and to purchase a vehicle. You would like a savings account with the highest interest rate and a vehicle loan with a low interest rate. You currently have a checking account at Bank A. From the banks listed below, determine with which bank you should open a savings account and at which bank should you apply for your vehicle loan. a. Bank A for the car loan and Bank B for the savings account b. Bank C for the car loan and Bank C for the savings account c. Bank B for the car loan and Bank A for the savings account d. Bank B for the car loan and Bank B for the savings account What is the range of the function of y=4e^x Metals are used in many products because of the characteristic properties that most metals share. Which properties of the metal tungsten make it useful in the thin, glowing filaments of light bulbs? Tungsten is electrically conductive, ductile, and opaque. Tungsten is ductile, is malleable, and has a high luster. Tungsten is ductile, has a high melting point, and is electrically conductive. Tungsten has a high luster, has a high melting point, and is silver in color.Metals are used in many products because of the characteristic properties that most metals share. Which properties of the metal tungsten make it useful in the thin, glowing filaments of light bulbs? Tungsten is electrically conductive, ductile, and opaque. Tungsten is ductile, is malleable, and has a high luster. Tungsten is ductile, has a high melting point, and is electrically conductive. Tungsten has a high luster, has a high melting point, and is silver in color. Dwayne earns $11.45 per hour. Last week he worked 38-1/4 (mixed number) hours. How much did he earn last week? PLEASE help me and PLEASE show the work PLEASE. 3 over 4+(-2 1 over2) What is the correct meaning of foresight? Why were New Mexico and Arizona admitted to the United States as separate states? How many valence electrons are in an atom of strontium (Sr)? Consult the periodic table. A. 5 B. 2 C. 47.90 D. 22 35. One expressed power of Congress stated in the Constitution is the power to a. coin money b. create treaties. c. create schools. d. establish prisons. Which European country benefited the most from Napoleons rule in Europe? A. Russia B. Italy C. France D. Spain E. Germany What might rumplestilskin have done differently if he had all the information the third person narrator gives to the reader Write an expression for the perimeter of the triangle shown below: A triangle is shown with side lengths labeled 2.3x plus 14, 2x, and negative 0.2x plus 15. A: 4.1x + 29B: 4.1x - 29C: 4.5x+ 29D: 4.5x -29 How much work (in J) is involved in a chemical reaction if the volume decreases from 5.35 to 1.55 L against a constant pressure of 0.829 atm? passage from Macbeth, by William ShakespeareBased on the passage, how does the word choice in this passage affect itstone?A. It mentions stars, suggesting that Macbeth's fate is not up to him.B. It alludes to Cumberland, reminding the audience of Macbeth'sroots.C. It includes an image of a wink, implying that Macbeth does nottake the situation seriously.D. It uses imagery associating evil with darkness to create suspense. express in scientific notation (6.0x10^4) (3.1x10^-1) Zoey wants to cover her bedroom floor with carpet squares each square has an area of 1 foot her bedroom measures 12 feet by 14 feet how many carpets squares does she need