What is the standard form polynomial representing the volume of this shipping container?
6x + 15
4x² + 3x
x² – 8
Answers
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:
V = 24x^5+78x^4-147x^3-624x^2-360x
Related Questions
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
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
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]
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:
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]
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
is the product of two rational numbers always a rational number?
Answers
Answer:
Yes, it's always rational.
Step-by-step explanation:
-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]
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.
The GCF of 24 and 32 is...
Answers
Answer:
The GCF is 8 there is your anwser
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:
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
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
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.
Please i need help thank you
Answers
What are the values of a and b on the number line?
Answers
Answer:
B is the answer
Step-by-step explanation:
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
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:
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:
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
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
as a fraction:
(i) 48%
(ii) 220%
(iii) 2.5%
Answers
Answer:
48% = 48/ 100 = 12/25220% = 220/100=11/52.5% = 25/1000 = 1/40i. 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 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.
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
-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]
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
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:
What is the slope of the equation: y = -3x +7
Answers
The slope of the equation is -3.
____________________ 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 :)
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 :)
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