The difference between the two polynomials is 11x²3y³ - 4xy².
What is the Difference between the Polynomials?The difference between two polynomials is the result you get by subtracting one from the other.
Thus:
= (4x²2y³ + 2xy² – 2y) – (–7x²y³ + 6xy² – 2y)
= 4x²2y³ + 2xy² – 2y + 7x²y³ - 6xy² + 2y
= 11x²3y³ - 4xy²
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The diameter of a cylindrical construction pipe is 3 ft. If the pipe is 12 ft long,
what is its volume?
Use the value 3.14 for π, and round your answer to the nearest whole
number.
Be sure to include the correct unit in your answer.
Work Shown:
d = 3 = diameter
r = d/2 = 3/2 = 1.5 = radius
h = 12 = height or length of the pipe
pi = 3.14 approximately
V = volume of the cylinder pipe
V = pi*r^2*h
V = 3.14*(1.5)^2*12
V = 84.78
V = 85
The cylindrical pipe's volume is about 85 cubic feet.
If mary paid $20.44 for 7.3 pounds of strawberries, what was the price of 1
pound of strawberries? do not include $ in
Answer:
2.80
Step-by-step explanation:
20.44 / 7.3 = 2.8
Brainliest please
2 angles that are supplementary are always linear pair true or false?
Answer: true
Step-by-step explanation: The answer is true. As a linear pair is a pair of adjacent, supplementary angles. Adjacent means next to each other, and supplementary means that the measures of the two angles add up to equal 180 degrees.
Answer:
true
Step-by-step explanation:
Susie needs to cover her triangular garden with new top soil. Her garden has a base of 7 ft and a height of 10 ft. A bag of soil will cover 5 square feet. How many bags will she need?
Question 7 options:
70 bags of soil
35 bags of soil
12 bags of soil
7 bags of soil
If 1 bag of soil will covers 5 square feet, the number of bags of soil that will cover Susie's 35 square feet triangular garden is 7 bags.
Option D) is the correct answer.
How many bags will Susie need?Area of a triangle is expressed as half base multiply by height.
A = (1/2)base × height
Given that;
Base of the triangular garden = 7ftHeight = 10ftArea of the triangular garden A = ?A = (1/2)base × height
A = (1/2) × 7ft × 10ft
Area of the triangular garden A = 35ft²
Now, if 1 bag of soil covers 5 square feet. how many will cover 35 square feet?
1 bag covers 5ft²
x bags covers 35ft²
x = 35 / 5
x = 7 bags
Therefore, if 1 bag of soil will covers 5 square feet, the number of bags of soil that will cover Susie's 35 square feet triangular garden is 7 bags.
Option D) is the correct answer.
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The water usage at a car wash is modeled by the equation w(x) = 3x3 4x2 − 18x 4, where w is the amount of water in cubic feet and x is the number of hours the car wash is open. the owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. the amount of decrease in water used is modeled by d(x) = x3 2x2 15, where d is the amount of water in cubic feet and x is time in hours. write a function, c(x), to model the water used by the car wash on a shorter day. c(x) = 2x3 2x2 − 18x − 11 c(x) = 3x3 2x2 − 18x 11 c(x) = 3x3 2x2 − 18x − 11 c(x) = 2x3 2x2 − 18x 11
A function, c(x), that models the water used by the car wash on a shorter day is C(x) = 4x³ + 7x² − 14x - 6
Calculations and Parameters:Given:
The amount of water used in normal days:
W(x) = 5x³ +9x²-14x +9 -----(i)The amount of decrease in water used is modeled by the equation;
D(x)= x³+2x² +15--------(ii)To find the function C(x), we would have to subtract eq(ii) from eq(i)
5x³ +9x²-14x +9
- x³+2x² +15
= C(x) 4x³+7x²-14x-6
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Use the binomial formula to find the coefficient of the q22p² term in the expansion of (q-2p)24.
7
X
Ś
?
I REALLY NEED HELP PLSSSSSSS
Answer:
Quick answer, C. 7 units!
davion bought a new controller for $32. he also bought a stuffed elephant for his brother. he paid everything with 4 twenty dollar bills.if he got $18 back in change how much did the stuffed animal cost?
Answer:
$30
Step-by-step explanation:
First we will find how much money Davion paid with.
4 * $20 = $80
Now we can find how much the stuffed animal cost using the controller cost and change received.
Let x be the cost of the stuffed animal
80 = 32 + 18 + x
80 = 50 + x | subtract 50 from both sides
30 = x
This means the stuffed animal cost $30.
That is your answer
- Kan Academy Advance
can someone help me with the first 6
Answer & Step-by-step explanation:
These questions are wanting you to find the sequence and solve for the nth term in said sequence.
The easiest way to do this is to just see the difference between each number, and continue adding or subtracting to the nth term the question is asking for.
For example, the first one is decreasing by 3 every time, so the 7th term will be -4, (the 4th term), subtracted by 3, three more times.
5, 2, -1, -4, -7, -10, -13
The other way to do this is to find the rule, and subsitute in what term is required.
For letter c (the second c), the sequence is 30, 24, 18, 12
The rule is to subtract 6 every time, so -6 n
Since we start our 1st sequence from 30, our rule must start from 30 + 6, the opposite of our rule, which gives us 36.
Our rule is 36 - 6n
So since we are looking for the 11th term, we substutute in 11 into our equation.
36 - 6 n
36 - 6 (11)
36 - 66
-30
This way of thinking will work for the whole set of questions you have here
PLEASE HELPPP!!!!
Which of the following is the best buy?
3 lb. for $5.13
2 lb. for $3.37
3.25 lb. for $5.53
1.5 lb. for $2.52
Answer:
3.25\
Step-by-step explanation:
Answer:
$2.52
Step-by-step explanation:
u have to at the lb. and the $ and which will give u more for a less price so we x out $5.53 and then 5.13.now all you have left is 2.52 and 3.37 and 3.37 is more than 2.52 and 2 lb. is more ik but u save more money by buying 1.5 lb.
hope this helps:)!!
check whether (x-1) is a factor of 2x²-3x+1 or not ................
Answer:
(x - 1) is a factor of 2x² - 3x + 1
Step-by-step explanation:
Method 1
If (x - 1) is a factor of f(x) = 2x² - 3x + 1 then f(1) = 0
Substitute x = 1 into the equations:
f(1) = 2(1)² - 3(1) + 1
= 2 - 3 + 1
= 0
Therefore, (x - 1) is a factor of 2x² - 3x + 1
Method 2
Factor 2x² - 3x + 1
Find 2 two numbers that multiply to 2 and sum to -3: -2 and -1
Rewrite the coefficient of the middle term as the sum of these 2 numbers:
⇒ 2x² - 2x - x + 1
Factorize the first two terms and the last two terms separately:
⇒ 2x(x - 1) - 1(x - 1)
Factor out the common term (x - 1):
⇒ (2x - 1)(x - 1)
Thus proving that (x - 1) is a product of 2x² - 3x + 1
Which equation represents a linear function?
Answer:
y = x-3
step by step explanation:
The equation of a linear function has no exponents higher than 1
loni cut a loaf of banana bread into equal pieces.Over the week, her brother eats 2/6 of the loaf, and Loni eats 3/6 of the loaf
PLEASE ANSWER 50 POINTS+ BRAINLIEST
Discussion Topic
What do you know about statistics and data? What do you think a measure of center for a data set would be? What do you think a measure of variation for a data set would be?
Write an example of a situation for which you would like to analyze the statistics. Think of the types of graphs you are familiar with. Do you think the data from the situation you came up with would look good on one of the graphs?
data are individual pieces of factual information recorded and used for the purpose of analysis
What do you think a measure of center for a data set would be?Median and IQR
What do you think a measure of variation for a data set would be?The most common measures of variability are the range, the interquartile range (IQR), variance, and standard deviation.
Write an example of a situation for which you would like to analyze the statistics. Think of the types of graphs you are familiar with. Do you think the data from the situation you came up with would look good on one of the graphs?Find the distance between the two points rounding to the nearest tenth (if necessary). (-6, 7) and (-3, 0)
Answer: [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]7.6[/tex] or [tex]\sqrt{58}[/tex]
Step-by-step explanation:
[tex](-6-(-3))^2 + (7-0)^2[/tex]
[tex](-6, 7) and (-3, 0)[/tex]
[tex]the[/tex] [tex]distance[/tex] [tex]between[/tex] [tex]the[/tex] [tex]two-points[/tex] [tex]rounding[/tex] [tex]to[/tex] [tex]the[/tex] [tex]nearest[/tex] [tex]tenth[/tex].
[tex](-6,7)=(-6=[/tex]
[tex]7=)[/tex]
[tex](-3,0)=(-3=[/tex]
[tex]0=)[/tex]
[tex]Exact Form:\sqrt{58}[/tex]
The answer is [tex]7.2[/tex] [tex](7.61577310)[/tex] and [tex]\sqrt{58}[/tex]
Answer: [tex]\sqrt{58}[/tex] and [tex]7.6[/tex]
Find the slope between the two given points:
5. (3,4) and (6,7) 6. (-2,-6) and (-1,-4)
Please show Work Due Tommorow!!!!
I will give brainiest if it's right
Answer:
5.1 6.2
Step-by-step explanation:
5.y2-y1/x2-x1
7-4/6-1=1
6.y2-y1/x2-x1
-4+6/-1+2=2
GIVING BRAINLIEST!!!!!
Step-by-step explanation:
144 degree is right answer.
Answer:
144°
Step-by-step explanation:
The central angle is 360°. Since it has 5 divisions, the angle of each division is 72°.
From B to D, it requires 2 rotations.
Rotation angle needed = 72° × 2Rotation angle needed = 144°A builder uses parallelogram-shaped stones as decoration around a building’s windows. The stones come in many different sizes. Each stone has a base length of x inches and a height of (3x − 5) inches. Write a polynomial to describe the area of a stone. Then find the area of a stone that has a length of 6 inches.
The polynomial that describes the area of the stone is: 3x² - 5x
Area of the stone with a base length of 6 in. is: 78 sq. in.
What is the Area of a Parallelogram?Area of Parallelogram = base length × height
Given the following:
Base length = x in.Height = (3x - 5) in.Area of the parallelogram-shaped stone = x(3x - 5) = 3x² - 5x
To find the area of the stone with a base length (x) of 6 inches, substitute x = 6 into 3x² - 5x:
Area = 3(6)² - 5(6) = 78 sq. in.
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A spinner is divided into 15 identical sectors and labeled 1 through 15.
How many spins are expected for a multiple of 4 to be spun 30 times?
Select from the drop-down menu to correctly complete the sentence
The spinner is expected to have to spin approximately Choose times for a multiple of 4 to be spun 30 times.
A. 113
B. 120
C. 150
D. 225
1-4) Choose Yes or No to tell if the fraction 3/4 will make each equation true. (You are putting the 3/4 in each blank and multiplying to see if it will give you the product given.)
Find its Surface Area 5 m 7 m 3 m 4 m
Answer:
D. 96 m²
Step-by-step explanation:
The surface area of a triangular prism is the sum of the areas of all of the faces. A triangular prism has two triangular faces (bases) and three rectangular faces.
__
rectangular facesThe dimensions of the rectangular faces are such that they can be considered together as a rectangle whose width is the distance between the triangular faces, and whose length is the perimeter of the triangle. For this prism, that is a 7 m width and a (3+4+5) = 12 m length.
triangular facesThe two triangular faces together have an area that is equal to that of a rectangle with the same base and height as the triangular face. For this prism, that is a 3 m base and a 4 m height.
totalThe total surface area is ...
lateral area + base area = (7 m)(12 m) +(3 m)(4 m) = (84 +12) m²
surface area = 96 m²
_____
Additional comment
The formula for the area of a triangle is ...
A = 1/2bh
A triangular prism has two congruent triangular faces, so their total area is ...
A = 2(1/2bh) = bh
We elected to skip the halving and doubling, and go straight to the total base area.
Which is the slope of the line that passes through the points (-3, 1) and (4, -2)?
Which step requires revision, and how should it be corrected?
OA. In step 1, the compass width should be set to the length of BC.
B.
In step 2, the fixed part of the compass should be placed at point C.
O. C.
In step 3, the fixed part of the compass should be placed at point C.
OD.
In step 4, it should say to complete step 3 six more times.
The step that requires revision is step 1: set the compass width to the diameter of the circle
How to determine the error in the steps?When a regular hexagon is to be inscribed in a circle, the first step is to place the compass on the circumference of the circle and create an arc.
On no occasion should the width of the compass equal the diameter of the circle.
The step 1 in the question shows that the compass width is set to the diameter of the circle.
This is wrong, and it needs to be revised.
Hence, the step that requires revision is step 1 and the correction is (a) In step 1, the compass width should be set to the length of BC.
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What is the volume of a sphere with a diameter of 10 m, rounded to the nearest tenth of a cubic meter?
[tex]\rule{300}{1} \\ \diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the volume of a sphere with a diameter of 10m, rounded to the
nearest tenth of a cubic metre (m³)?
[tex]\diamond\large\textsf{\textbf{\underline{Answer and How to solve:-}}}[/tex]
[tex]\it{Volume\:of\:a\:sphere:-}[/tex]
[tex]\longmapsto\sf{V=\dfrac{4}{3} \pi r^3}[/tex]
[tex]\bold{\underline{Where:-}}[/tex]
V=Volumeπ = pi r=radius
Provided information:-
diameter = 10 m
What we need in order to find the Volume:-
radius
How to find the radius if we have the diameter?
Since the radius is exactly one-half of the diameter, we divide the diameter by 2:-
[tex]\bold{r=d\div2}[/tex]
Replace d with 10:-
[tex]\bold{r=10\div2}[/tex]
Therefore, the radius of the sphere is
[tex]\bold{r=5}[/tex][tex]\rule{300}{1}[/tex]
✓ Now we have all the required information in order to find the volume of the sphere.
✳︎Substitute 5 in lieu of r:-
[tex]\bold{V=\dfrac{4}{3} \pi (5)^3}[/tex]
➪On simplification,
[tex]\bold{V=\dfrac{4}{2} \pi (125)}[/tex] ◈ Next, write the value of π (3.14…)
[tex]\bold{V=\dfrac{4}{3}\times3.14\times125}[/tex]
On further simplification,
[tex]\bold{V=\dfrac{4}{3} \times392.5}[/tex] Final Step:- Multiply the numbers.
[tex]\bold{V=523.3\:m^3}[/tex]
The answer has been rounded to the nearest tenth (one place after the decimal point)
Therefore, we conclude that the volume of the sphere is
[tex]\bold{V=523.3\:m^3}[/tex]
Good luck with your studies.[tex]\rule{301}{1}[/tex]
3. Which of the following is an exponential function?
O f(x)= 2/x
O f(x)= 5x-6
O f(x) = 3^x
O f(x) = 3x^3
Answer:
B is correct I hope this helps.
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When Abigail had one cat, she needed to serve 2 cans of cat food each day. Now that Abigail
has adopted a second cat, she needs to serve a total of 3 1/2 cans each day. How much extra
food is needed to feed the second cat?
Write your answer as a fraction or as a whole or mixed number.
cans
Based on the information provided, to feed the second cat it is necessary 1 1/2 extra cans or 1.5 cans.
How much extra food is needed to feed the second cat?This difference can be found by substracting the total cans fed with only one cat to the total fed with two cats:
3 1/2 cans - 2 cans = 1 1/2 cans, which can also be expressed as 1.5 cans.Based on this, to have a second cat implies 1.5 extra cans.
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A recipe for bread uses 5 cups of white flour and 3 cups
of wheat flour. How many more cups of white flour than
wheat flour are used in the recipe? Write an equation and
complete the bar diagram to solve.
Write the Inequality shown in the diagram below
Answer:
-1 ≤ x < 3
Hope this helps ;)
Find the equation of the line that passes through the points:(2, 2) and (3, 4)
Answer:
y=2x-2
Step-by-step explanation:
the slope of the two points can be found using rise over run which would be 4/2 and that equals 2. then you have to pout the y intercept.
Finding a probability a movie complex is showing three action films and three comedy films. you randomly select two
different films to watch. find the probability that you select a comedy to watchsecond given that you randomly selected a
comedy to watch first
The probability that you select a comedy to watch second given that you randomly selected a comedy to watch first will be,[tex]\rm \frac{1}{5}[/tex].
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.
Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
No of action films = 3
No of comedy films=3
The probability that you select a comedy to watch second given that you randomly selected a comedy to watch first is found as;
[tex]\rm P = \frac{C_3'}{C_6'} \times \frac{C_2'}{C_5'} \\\\\ P=\frac{3}{6} \times \frac{2}{5} \\\\ P=\frac{1}{5}[/tex]
Hence, the probability that you select a comedy to watch second given that you randomly selected a comedy to watch first will be,[tex]\rm \frac{1}{5}[/tex].
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