What is the standard form polynomial representing the volume of this shipping container?
6x + 15
4x² + 3x
x² – 8

What Is The Standard Form Polynomial Representing The Volume Of This Shipping Container?6x + 154x + 3xx

Answers

Answer 1

Answer:

Step-by-step explanation:

Volume of the shipping container = Lengt * Breadth * Height

Given

Length = 4x² + 3x

Breadth = x² – 8

Height = 6x +15

Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)

( 4x² + 3x)( x² - 8)  = 4x⁴-32x²+3x³-24x

( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x

(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x

Collect like terms

( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x

Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x

Answer 2

Answer:

V = 24x^5+78x^4-147x^3-624x^2-360x


Related Questions

What are the values of a and b on the number line?

Answers

Answer:

B is the answer

Step-by-step explanation:

what is the value of y?

Answers

Answer:

y +43⁰ +123⁰ =180⁰

=) y +160⁰ =180⁰

=) y = 20⁰

Answer:

Y = 34

Step-by-step explanation:

y + 43 + 123 = 180

y + 146 = 180

180 - 146. = y = 34

Y = 34

How many solutions does y=-x^2-4x+7 have

Answers

Answer:

x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2

Step-by-step explanation:

Solve for x:

y = -x^2 - 4 x + 7

y = -x^2 - 4 x + 7 is equivalent to -x^2 - 4 x + 7 = y:

-x^2 - 4 x + 7 = y

Multiply both sides by -1:

x^2 + 4 x - 7 = -y

Add 7 to both sides:

x^2 + 4 x = 7 - y

Add 4 to both sides:

x^2 + 4 x + 4 = 11 - y

Write the left hand side as a square:

(x + 2)^2 = 11 - y

Take the square root of both sides:

x + 2 = sqrt(11 - y) or x + 2 = -sqrt(11 - y)

Subtract 2 from both sides:

x = sqrt(11 - y) - 2 or x + 2 = -sqrt(11 - y)

Subtract 2 from both sides:

Answer: x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2

Help how do i do these

Answers

Answer:

Step-by-step explanation: What I would do is make the triangle into a square and what ever is mirroring it i would put that for my answer and then I would round it. I used to do this i don't exactly remember. Sorry if this doesn't help.

Jill made 20 muffins. She puts them into 3 boxes and has two muffins left. How many are in each box if they all contain the same amount of muffins?​

Answers

Answer:

it would be 6 muffins each and muffins sounds so good right now TwT

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

20-2=18

18÷3=6

Therefore there are 6 muffins in each box

-28 + 2x = -18 what is x?

Answers

Answer: x=5

Step-by-step explanation:

To solve for x, we want to use algebraic properties to isolate x.

-28+2x=-18        [add both sides by 28]

2x=10                 [divide both sides by 2]

x=5

Now, we know that x=5.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \text{x = 5}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf \: - 28 + 2x = - 18 }[/tex]

[tex] \tt{Step \: 1}[/tex] : Move 28 to right hand side and change it's sign

[tex] \hookrightarrow{ \sf{2x = - 18 + 28}}[/tex]

[tex] \tt{Step \:2}[/tex] : Subtract 18 from 28

The negative and positive integers are always subtracted but posses the sign of the bigger integer

[tex] \hookrightarrow{ \sf{2x = 10}}[/tex]

[tex] \tt{Step \: 3}[/tex] Divide both sides by 2

[tex] \hookrightarrow{ \sf{ \frac{2x}{2} = \frac{10}{2}}} [/tex]

[tex] \tt{Step \: 4}[/tex] Calculate

[tex] \hookrightarrow{ \sf{x = 5}}[/tex]

[tex] \tt{∴ \: The \: value \: of \: x \: is \: \bold{5}}[/tex]

[tex] \sf{Hope \: I \: helped !!}[/tex]

[tex] \sf{Best \: regards !!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

is the product of two rational numbers always a rational number?

Answers

Answer:

Yes, it's always rational.

Step-by-step explanation:

The price of an item has been reduced by 55%. The original price was $53. what is the price now

Answers

Answer:

$29.15

Step-by-step explanation:

Step 1:

$53 × 55%

Step 2:

53 × 0.53

Answer:

29.15

Hope This Helps :)

____________________ A letter that represents one or more numbers. pick from these: Absolute Value Distributive Property Equation Evaluate Equivalent Simplify Expression Integers Like Terms Inequality Reciprocal Coefficient Variable Solution Ratio

Answers

Answer:

The answer is a Variable

Step-by-step explanation:

In algebra, symbols (usually letters) are used to represent numbers. To solve math problems, you should know what variables and constants are. Here is an introduction to the terms variables and constants. A variable is a letter or symbol used as a placeholder for an unknown value.

I hope this helps you :)

1. Evaluate f(x) = 3x - 1 at f(2) 2. Evaluate f(x) at f(-5) -6 f(x) 3 4 -5 -4 -5 3 3 Evaluate f(x) at (0)​

Answers

Answer:

5

Step-by-step explanation:

3(2)-1

6-1

5

Answer:

5

Step-by-step explanation:

3(2)-1

6-1

5

This seller must sell at least 120 newspapers each month. He sold 85 newspapers in the first three weeks of the month. How many more newspapers must he sell by the end of the month? Make an inequality to show this scenario as a math problem, be sure to use the correct symbols, and share your answer!

Answers

Answer:35

120-85=35

120>85

The GCF of 24 and 32 is...

Answers

Answer:

The GCF is 8 there is your anwser

What is the slope of the equation: y = -3x +7

Answers

The slope of the equation is -3.

-4(4x + 4) + 7(1 + 9x)

Answers

Answer:

47x - 9

Step-by-step explanation:

-4(4x + 4) + 7(1 + 9x)

-16x -16 + 7 + 63x

47x -9

You can find what x = because there is no = sign. This is in simplest form.

Answer:

47x -9

Step-by-step explanation:

[tex]-4(4x + 4) + 7(1 + 9x)\\\\\mathrm{Expand}\:-4\left(4x+4\right):\quad -16x-16\\=-16x-16+7\left(1+9x\right)\\\\\mathrm{Expand}\:7\left(1+9x\right):\quad 7+63x\\=-16x-16+7+63x\\\\\mathrm{Simplify}\:-16x-16+7+63x:\\\quad 47x-9[/tex]

as a fraction:
(i) 48%
(ii) 220%
(iii) 2.5%

Answers

Answer:

48% = 48/ 100 = 12/25220% = 220/100=11/52.5% = 25/1000 = 1/40
Given Percentage:

i. 48%

ii. 220%

iii. 2.5%

To Convert:

The given percentage into fractions.

Answer:

[tex] \large \purple {\tt {i. \: 48\% = \frac{48}{100} = \frac{12}{25}}} [/tex]

[tex] \large \pink {\tt {ii. \: 220\% = \frac{220}{100} = \frac{11}{5}}} [/tex]

[tex] \large \blue {\tt {iii. \: 2.5\% = \frac{2.5}{100} = \frac{1}{40}}} [/tex]

What value of q satisfies this equation?
59 + 5q = 159 - 11

Answers

Answer:

0,454

Step-by-step explanation:

= 59 + 5q = 159q - 11

= 5q - 159q = 11 + 59

= 154q = 70

= q = 70 : 154

= q = 0,454

Answer:

89/5 or 17.8

Step-by-step explanation:

   

HELPPP PLEASE!!!
The store has 61 guppies divided into 8 aquarium tanks, and a small display aquarium on
the sales counter. Each of the 8 tanks has an even number in them with the remaining
guppies in the display aquarium. How many guppies are in each aquarium and in the
display aquarium?

Answers

Answer:

5 in display, 7 in each aquarium.

Step-by-step explanation:

Please i need help thank you

Answers

It’s the three one down. y= -1/2x + 5

Simplify the expression. Write your answer as a complex number.

2 times the square root of 25 plus the square root of negative 16

Answers

Answer:

d

Step-by-step explanation:

The density of a substance can be found by dividing the mass of the substance by the volume of the substance. A sheet of pure iron has a mass of 500 grams and a volume of 4 in3. Write an equation of the form m=dv, where m represents the mass of a sheet of iron in grams, v represents the volume of a sheet of iron in cubic inches, and d is a constant, the density of iron in grams per cubic inch

Answers

Answer:

D=375g/cubic inch

Step-by-step explanation:

D=500 divided by 4/3

You are using a 9 inch paint roller to paint a wall of your bedroom. The roller has a dimension of 1 5/8 inches and a nap thickness of 1/4 inch, as shown

Answers

Answer:

21.38 square inches

Step-by-step explanation:

Given that You are using a 9 inch paint roller to paint a wall of your bedroom. The roller has a dimension of 1 5/8 inches as diameter and a nap thickness of 1/4 inch, as shown

The nap is the fuzzy materials on the surface roller. How much area does the roller cover in one full revelation

The parameters to be considered are:

Diameter = 15/8 inches

Thickness = 1/4 inches

After one revolution rolling, the dimensions of the length will be:

L = 1/4 + 15/8 + 1/4

L = 19/8 inches.

Let the width be equal to 9 inches

The area covered = L × W

Substitute L and W into the formula

Area = 19/8 × 9

Area = 21.38 square inches

Therefore, the area covered by the roller in one full revelation is 21.38 square inches

Which Angel number supplementary to angel to AED

Answers

Answer:

Angle number 5

Step-by-step explanation:

The sum of supplementary angles equal 180°.

Angle AED, in the diagram given is labelled angle 4.

The angle labelled 4 forms a linear pair with the angle labelled 5.

Since a linear pair of angles = 180°, therefore:

m<AED + m<AEI = 180°.

That is:

m<4 + m<5 = 180°.

Both angles are supplementary.

Therefore, angle number 5 is supplementary to angle AED.

P Mar
1 The table shows pairs of figures that are related to each other in the same way.
Figure 1 Figure 2
Oo
Which conjecture best describes how the second figure in each set is related to the first?
A) Figure 2 is always a horizontal reflection of Figure 1.
B) Figure 2 is always a vertical reflection of Figure 1.
C) Figure 2 is always a 90° clockwise rotation of Figure 1.
D) Figure 2 is always a 180° rotation of Figure 1.

Answers

Is that all the answer choices ? Becaus e

What does an arrow as an endpoint
imply for a function? How does it
effect your domain and range?
I

Answers

Answer:

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis

Answer:

It menas that it keeps going.

Step-by-step explanation:

If you have a line with an arrow at the end it means that the numbers keep on going. So say that you had a number line that ended at ten but there is an arrow, this means that there is more or less.

<-                              ->

10 less than ten      10, more than ten.

Point O is between points Mand N on line segment MN. O is the midpoint of line segment MN if
ON = NM
OM = NM
ON + OM = MN
ON = OM

Answers

Diagram:
M------------O-------------N
................. ^ midpoint
Obviously if O is the *mid*point, then it is exactly halfway between M and N. That also means it has bisected the segment into two equal parts.
On one side you have MO (or OM, if you like)
On the other side you have ON.
In order for O to be the midpoint:
ON = OM

A car travels 100 meters in 5 seconds. Whats is the speed of the car

Answers

Answer:

20m/s

Step-by-step explanation:

[tex]Speed=Distance\div Time[/tex]

[tex]Speed=100m \div 5s[/tex]

[tex]Speed = 20m/s[/tex]

What's more selfish? Committing Death or forcing someone to stay in a world where they are so unhappy?

Answers

Answer:forcing someone to stay in the world they dont wanna be in

Step-by-step explanation:

Forcing someone to stay in a world they are unhappy in.

What is 18=3(3x-6) algebra 1

Answers

Answer:

x=4 i believe

Step-by-step explanation:

1st.      move terms

       -3x+6=-6

2nd.      calculate the difference

       -3x=-12

3rd.     divide both side to get x alone

      x= 4

HELP ME PLEASE I NEED THIS and tell me how to solve for it

Answers

Answer:

616.6 square cm

Step-by-step explanation:

Area of a regular octagon

[tex] = 2 {a}^{2} (1 + \sqrt{2} ) \\ = 2 \times {12}^{2} (1 + 1.414) \\ = 2 \times 144 \times 2.141 \\ = 288 \times 2.141 \\ = 616.608 \\ = 616.6 \: {cm}^{2} [/tex]

616.6 cm square is the answer

WILL MARK BRAINLIEST NEED IT ASAP

Answers

Answer:

8

Step-by-step explanation:

6 x 9=54. 54+10=64. the square root of 64 = 8

Answer:

ANSWER IS 8

Step-by-step explanation:

Other Questions
Convert 10,000 inches to miles. Select the words that correctly complete the sentences. A class uses 10 students to model a lithium atom. Each student represents a particle in the atom. Three students wear signs with a + sign, representing (electrons / neutrons / protons). The four students with 0 signs represent (neutrons / protons / electrons ). Each of the remaining students wear a sign, representing (protons / electrons / neutrons) Before going to bed, Maria'stemperature was 103,2. Her feverbroke in the night so that hermoming temperature was 3.7degrees lower. What was Mana'stemperature the next morning? How would Roberto respond to the question Cmo se llama? A. Se llamas Roberto. B. Se escribe Roberto. C. Me llamo Roberto. D. Te llamas Roberto. E. Se llaman Roberto. A truck covered 2/7 of a journey at an average speed of 40mph. Then, it covered the remaining 200 miles at anotheraverage speed. If the average for the whole journey was 35mph, what was the amount of time for the whole journey?h n the context of the poem, what does the word blithe most likely mean?A. arrogant and focusedB. satisfied and confidentC. complacent and apatheticD. fiery and volatile What impact did the Great Awakening and Enlightenment have on the American Revolution? What was the basis of Lee Yick's appeal to the U.S. Supreme Court after his conviction for running an illegal laundry in San Francisco? Which of the following BEST fits the definition of loose constructionism? A. a strict understanding of powers granted to the federal government B. a belief that states laws are always more powerful than the Constitution C. an expansive understanding of powers granted to the federal government D. a belief that the Constitution should never be used to interpret modern political issues.Please select the best answer from the choices provided A B C D In economics, the term productivity refers to:A. a graph that shows the relationships between a number ofdifferent resources.B. the amount of output compared to the input needed to createsomethingC. money invested in a business to promote its success in the future.D. the amount of growth a businestly demonstrates over a long period. Which of the following examples is most clearly narrated in third-person limited point of view? O A. Dmitri preferred table tennis, but Charlize preferred real tennis; the two would never see eye to eye. O B. What did she mean by that? He searched her face for answers, but her gaze was, as always, impenetrable. O C. Bert always assumed that he was an only child, but little did he know that he had a long lost sister - O D. The guests at the party thought they were there to celebrate Trevor's birthday, when in fact he had other plans for them. SUBMI Use context to determine the correct meaning of second in the sentence.Oliver Twist famously asked for a second helping when he said Please, sir, I want some more.What does the word second mean in the sentence?measure of timeagree withadditionalassistant In which chemical equation is the number of atoms in the reactants the same as the number of atoms in the products?(1 point)A) Zn + 2HCl H2 + ZnCl2B) CH4 + O2 CO2 + 2H2OC) Li2CO3 LiO + CO2D) CO2 + H2O CH2OH + O22. Which statement is true regarding a chemical reaction?(1 point)A) Even if the total number of atoms does not change, mass may not be conserved in the reaction.B) Even if the total number of atoms changes, mass may not be conserved in the reaction.C) The total number of atoms changes, so mass is conserved in the reaction.D) The total number of atoms does not change, so mass is conserved in the reaction.3.Use the equation and the table to answer the question.FeCl3 + 3H2O Fe(OH)3 + 3HClElement Mass of an Atom (amu)Fe 56Cl 35H 1O 16Iron chloride and water react according to the equation shown. The table shows the atomic masses of the elements involved in the reaction. What is the total mass of the reactants?(1 point)A) 215 amuB) 179 amuC) 161 amuD) 108 amu4. In a chemical reaction, two molecules with a total mass of 76 amu react to form a single molecule. What is the mass of the molecule that is formed?(1 point) A) 228 amuB) 38 amuC) 76 amuD) 152 amu Write 10 3/8 as a decimal The ratio of toucans to macaws at the zoo was 5 to 7. If there were 60 total birds, how many were macaws? The Moon is 4,530,000,000 years in scientific notation The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor, Maine. The temperature in Miami is 82 degrees. Write an equation to determine the temperature in Bangor. please I need help with both problems .( also show work plz) Why could Georgla be considered as a two-time state? What do you think the story of Tom Sawyer and whitewashing the fence says about Tom as a manager? Would you call him a good manager or a bad manager? Why? PLZ HELP ME SOONNN