To select a sample of 50 students at your school in order to learn something about how many hours per week, on average, students at your school spend engaged in a particular activity, you could use random sampling.
Random sampling involves selecting a sample of individuals from a larger population in a way that ensures each individual has an equal chance of being selected. This helps ensure that the sample is representative of the larger population and can provide accurate results.
Here are the steps you could follow to select a random sample of 50 students at your school:
1. Obtain a list of all the students at your school. This could be a roster or a directory.
2. Assign each student a unique number.
3. Use a random number generator to select 50 numbers from the list of student numbers.
4. Select the students whose numbers were chosen by the random number generator as your sample.
By following these steps, you can ensure that your sample is randomly selected and representative of the larger population of students at your school. This will allow you to accurately estimate how many hours per week, on average, students at your school spend engaged in a particular activity.
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Which of the following statement(s) about multiple regression analysis is FALSE?A. Multiple regression analysis allows you to analyze more than one dependent (Y) variable at a time.B. Multicollinearity occurs when the X variables are highly correlated with the Y variable in multiple regression.C. Multicollinearity occurs when two or more of the X variables are highly correlated with one another.D. Both A and B are false statements.E. All of the statements above are false.
Multiple regression analysis analyze more than one dependent variable at a time and multicollinearity occurs when the X variables are highly correlated with the Y variable in multiple regression are false. Correct option is D.
The statement (A) that "Multiple regression analysis allows you to analyze more than one dependent (Y) variable at a time" is false. In multiple regression, there is only one dependent variable (Y) that is being predicted by a combination of independent variables (X).
The statement (B) that "Multicollinearity occurs when the X variables are highly correlated with the Y variable in multiple regression" is also false.
Multicollinearity occurs when two or more independent variables (X) are highly correlated with each other, which can cause problems in accurately estimating the effect of each independent variable on the dependent variable.
The statement (C) that "Multicollinearity occurs when two or more of the X variables are highly correlated with one another" is true.
Therefore, the correct answer is (D) "Both A and B are false statements."
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AABC transforms to produce AABC. Which transformation did NOT take place?
The transformation that did not take place is a dilation, as the side lengths for both triangles are constant.
What are transformations on the graph of a function?Translation: Translation left/right or down/up, changing the position of the figure.Reflections: Over one of the axes or over a line, changing the orientation of the figure.Rotations: Over a degree measure, changing the inclination of the figure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor, changing the side lengths of the figure.For this problem, the side lengths remain constant, hence a dilation did not take place.
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Lines A and B are parallel
B
A
1/2
50°/4
5/6
7/8
m42 [?]°
The measure of angle ∠2 is 50° for the given lines.
What are lines and angles?Lines are straight with little depth or width. Perpendicular lines, intersecting lines, transversal lines, and other types of lines will be covered. An angle is a shape formed by two rays emerging from a common point. In this field, you may also come across alternate and corresponding angles.
Given that the angle is 50°. The vertically opposite angles for the lines are equal. The vertically opposite angle of 50° is ∠2.
The value of angle ∠2 is,
∠2 = 50°
Therefore, the value of angle ∠2 will be 50°.
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point q is located on the coordinate grid (9-73, -3,32) in which quadrant is point Q located?
Answer:
Quadrant III
Step-by-step explanation:
hope it helps :-)
There is a 30% chance an avocado is
perfectly ripe by tomorrow (not over-ripe
or under-ripe). If it is perfectly ripe
tomorrow there is a 40% chance it is still
perfectly ripe the next day. If it is not
perfectly ripe tomorrow there is a 60%
chance it is perfectly ripe by the next day.
What is the probability it is not perfectly
ripe on both days? Answer form 0.00
Answer:
Step-by-step explanation:6
What is the surface area?
What is the Volume?
Answer:
Surface Area is the space occupied by a two-dimensional flat surface is called the area.
Total surface area is the area including the base(s) and curved part(s).
Calculating Surface Area:
To find the surface area of a shape, we need to find the measurement (in this case, centimeters) of each face/side and add them together.
Volume:
The amount of space an object/3D shape occupies. (Ex: A circle does not have volume, a sphere, however, does.)
Calculating Volume:
Volume = the length times the width times the height. (Volume = length x width x height)
On his first birthday, Tomas was 30 inches tall. For the next year, he grew half an inch each month. what equation models his height that year, y, as a function of the number of months, x?
Answer:
y=0.5x+30?
Step-by-step explanation:
What is the z-score for a 98% confidence interval?
Using a standard normal distribution table, we can find the closest value to 0.99, which is 2.33. Therefore, the z-score for a 98% confidence interval is 2.33.
To calculate the z-score for a 98% confidence interval, we can use a standard normal distribution table or a calculator with a built-in z-score calculator. To calculate the z-score for a 98% confidence interval, we can use the following formula:
z = invNorm(1 - (1 - confidence level) / 2)
Where "invNorm" is the inverse normal distribution function, and "confidence level" is the level of confidence expressed as a decimal. For a 98% confidence level, we have:
z = invNorm(1 - (1 - 0.98) / 2)
z = invNorm(0.99)
Using the table, we can find the z-score corresponding to a cumulative area of 0.98 by looking up the closest value to 0.98 in the table.
invNorm(0.98) = 2.33.
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Given f of x is equal to 1 over the quantity x minus 4 end quantity and g of x is equal to the square root of the quantity x plus 4 end quantity comma what is the domain of f (g(x))?.
The domain of f(g(x)) = (-infinity, -4) U [-4, 4) U (4, infinity).
To find the domain of f(g(x)), we first need to find the domain of g(x) and then the domain of f(x).
The domain of g(x) is the set of all real numbers x such that x + 4 >= 0. So, g(x) is defined for all x >= -4.
To find the domain of f(x), we need to exclude the values of x for which f(x) is not defined. In this case, f(x) is not defined for x = 4. Hence, the domain of f(x) is all real numbers except 4, i.e., (-infinity, 4) U (4, infinity).
Therefore, the domain of f(g(x)) is the set of all real numbers x such that g(x) is defined and g(x) belongs to the domain of f(x). This means that f(g(x)) is defined for all x >= -4, except x = 4.
So, the domain of f(g(x)) = (-infinity, -4) U [-4, 4) U (4, infinity).
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Question 3 help please
(0, 6) and (1, 2) is the solutions to the given system of equation. Option A is correct.
Solving system of equationGiven the following system of equation
y = x^2 - 5x + 6
y = -4x + 6
Equating both equations, we will have:
x^2 - 5x + 6 = -4x + 6
Collect the like terms
x^2 - 5x + 6+4x - 6 = 0
x^2 - x = 0
x^2 = x
x = 0, 1
If x = 0
y = -4(0) + 6
y = 6
One of the solution is (0, 6)
If x = 1
y = -4(1) + 6
y = 2
The other solution will be (1, 2)
The solution to the given system of equation will be (0, 6) and (1, 2).
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The Ten Finger calculator company periodically checks random calculators before shipping crates out to customers. On Wednesday, 12 calculators from each of 64 crates of 144 calculators were tested. Two of the tested calculators were found to be defective. Based on this rate of defect, how many total calculators are expected to be defective?
Based on this rate of defect, a total of 256 calculators to be defective in all 64 crates are expected to be defective
What is Proportion ?Mathematically, a proportion is calculated by dividing the number of individuals in a population who have the characteristic of interest by the total number of individuals in the population. For example, if we are interested in the proportion of people in a city who are left-handed, we would count the number of left-handed people in the city and divide it by the total population of the city.
Proportions are commonly used in statistics to describe the prevalence of certain characteristics or outcomes in a population, and they can be used to make comparisons between different populations or subgroups within a population. Proportions are typically expressed as fractions, decimals, or percentages, and they can range from 0 (indicating that none of the population has the characteristic of interest) to 1 (indicating that all of the population has the characteristic of interest).
According to given condition :We can start by finding the proportion of defective calculators in the sample of tested calculators. If 2 out of 12 tested calculators were found to be defective, then the proportion of defective calculators in the sample is:
2/12 = 1/6
This means that, on average, we would expect 1 out of every 6 calculators in the population to be defective.
To find the total number of expected defective calculators in all 64 crates, we need to multiply this proportion by the total number of calculators in the population:
(1/6) * (64 crates) * (144 calculators per crate) = 1536/6 = 256
Therefore, we can expect a total of 256 calculators to be defective in all 64 crates.
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[3] a recipe for cookies calls for 3 +
Cups of gusar cam t has already
put in 31 Cups,how many morecups
does she need to put i n !l
The number of more cups that she needs to put in will be 28 cups.
What is the solution to the equation?An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.
A recipe for cookies calls for 3 Cups of sugar. And t has already put in 31 Cups. Then the equation is given as,
t + 3 = 31
t = 31 - 3
t = 28 cups
The number of more cups that she needs to put in will be 28 cups.
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What is the area of the parallelogram?
Answer:
65 m²
Step-by-step explanation:
area of parallelogram = base × height
base = AB = 3 m + 10 m = 13 m
height = 5m
area = 13 m × 5 m
area = 65 m²
Refer to the circle graph below. Suppose there are 300 students at York Middle School. Determine the number of students that have veggies as a snack.
The number of students that have veggies as a snack is equal to 51 students according to the circle graph.
What is a circle graph?A circle graph is also called a pie chart, and it can be defined as a type of graph that is used for the graphical representation of the proportional relationship between each part to a whole, especially by dividing a circle into various sectors or sections.
Given that, there are 300 students at a school, the number of students that have veggies as a snack can be calculated as follows;
Number of students that had veggies = 17/100 × 300
Number of students that had veggies = 0.17 × 300
Number of students that had veggies = 51 students.
Hence, the number of students that have veggies as a snack is equal to 51 students according to the circle graph.
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The complete question is :-
Refer to the circle graph below. Suppose there are 300 students at York Middle School. Determine the number of students that have veggies as a snack. No Snack 12% Fruit. 23% Chips · 18% Cheese 15% Veggies 17% L Cookies 15%
SOLVE FOR X AND Y PLEASE AND THANKS
Measures of angles, x = 93° and y = 97°
What is cyclic quadrilateral?A cyclic quadrilateral is a quadrilateral with all four vertices on a circle. Also called an inscribed quadrilateral. A circle consisting of all vertices around a polygon is known as the circumcircle.
Given,
Interior angles of quadrilateral
= x° , y° , 83°
Arc angles on the center of circumcircle are 64° and 122°.
angle made by chord on the center is twice to the angle made on the circumference of the circle
64° + 122° = 2x
186° = 2x
x = 186°/2
x = 93°
In cyclic quadrilateral,
Sum of opposite interior angles is 180°
y + 83° = 180°
y = 180° - 83°
y = 97°
Hence, measure of angles x and y are 93° and 97° respectively.
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Florian ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles.
Which shows the correct equation and value of x , the distance of 1 lap around the path at the park?
The equation and value of x , the distance of 1 lap around the path at the park is 4.8x + 1.2 = 3.6.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Florian ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles.
As, we know the number of them (4.8) would be multiplied by the variable (x). We also know that 1.2 is the constant.
So, the equation can be framed as
4.8x + 1.2 = 3.6
4.8x = 2.4
x = 0.5
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The question attached here seems to be incomplete the remaining portion is given below:
3.6 x + 1.2 = 4.8; x = 1 mile
4.8 x + 1.2 = 3.6; x = 1 mile
3.6 x + 1.2 = 4.8; x = 0.5 mile
4.8 x + 1.2 = 3.6; x = 0.5 mile
5 x = negative 58
How many 90 hours in a week ?
There are 168 hours in a week. Therefore, there are approximately 0.536 weeks in 90 hours.
Time conversion is the process of converting a given amount of time from one unit of measurement to another. It involves using conversion factors to change the numerical value of the time while keeping the duration constant.
For example, converting a duration from hours to minutes involves using a conversion factor of 60 minutes per hour. To convert, you multiply the number of hours by 60 to get the equivalent duration in minutes.
To get this answer, you can divide the number of hours (90) by the total number of hours in a week (168):
90 hours ÷ 168 hours/week = 0.536 weeks (rounded to three decimal places)
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what is the name of the length of the straight line drawn from an object’s initial position to the object’s final position?
Displacement is the length of the straight line drawn from an object’s initial position to the object’s final position
The term "displacement" refers to a change in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial position to the ending position. For instance, if an object shifts from position A to position B, its position changes.
If an object moves with respect to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right with respect to a whiteboard, the object's position changes. This change in location is described as displacement.
The displacement is the shortest distance between an object's initial and final positions. Displacement is a vector. It is visualized as an arrow that points from the initial position to the final position, indicating that it has both a direction and a magnitude.
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simplify the fraction
6jk/8k
Answer: 0.75j or 3/4j
Step-by-step explanation:
What is the constant of proportionality in the table below?
x 5 10 6 9 2
y 15 30 18 27 6
1/3
5
3
15
Answer:
1/3
Step-by-step explanation:
constant proportionality = x/y
x1/y1 , x2/y2 , x3/y3 , ....
5/15 , 10/30 , 6/18 , 9/27 , 2/6
= 1/3 , 1/3 , 1/3 , 1/3 , 1/3
since in all the cases x/y = 1/3 ,
Therefore, the contant proportionality in the given table is 1/3
Hope it's helpful..
Please answer this question! will give alot of points
Answer: the first question answer is 16.03 ft
the answer for number two is here too hand the way to get this answer
answer: Elijah is standing from the base of the monument 159.14 feet
Step-by-step explanation:
see the attached figure to better understand the problem
In the right triangle ABC
----> by TOA (opposite side divided by the adjacent side)
substitute the given values
solve for AC
therefore
Elijah is standing from the base of the monument 159.14 feet
Answer: Elijah is standing from the base of the monument - 1
And the answer for number 3 is 850.9 feet
Can someone help? I need to know what the answers are for this. it’s trig btw!
The missing length of the geometric system of right triangles is equal to 15.833 centimeters.
How to find the missing length in a system of 10 right triangles
Herein we find the case of a geometric system formed by ten right triangles, whose missing length can be found by means Pythagorean theorem and trigonometric functions, whose definitions are shown below:
Pythagorean theorem
r = √(x² + y²)
Trigonometric function
cos θ = x / r
Where:
θ - Angle, in degrees.x - Leg adjacent to angle, in centimeters.y - Leg opposite to angle, in centimeters.r - Hypotenuse, in centimeters.Now we proceed to determine the missing length:
First triangle:
x = 8 / cos 28°
x = 9.061
x' = 9.061 - 2.5
x' = 6.561
Second triangle
x = (6.561 + 3.6) · cos 11°
x = 9.974
x' = 9.974 - 2
x' = 7.974
Third triangle
x = √[(7.974 + 2.9)² - 3.8²]
x = 10.188
x' = 10.188 - 1
x' = 9.188
Fourth triangle
x = (9.188 + 3.2) · cos 43°
x = 9.060
x' = 9.060 - 1
x' = 8.060
Fifth triangle
x = (8.060 + 1) / cos 30°
x = 10.462
Sixth triangle
x = (10.462 + 3.2 + 1.9) · cos 19°
x = 14.714
Seventh triangle
x = (14.714 - 4.8 - 1.1) / cos 46°
x = 12.688
Eighth triangle
x = √[(12.688 + 1.7)² + 3.2²]
x = 14.740
Ninth triangle
x = (14.740 - 2.73) · cos 22°
x = 11.135
x' = 11.135 - 2.24
x' = 8.895
Tenth triangle
x = (8.895 + 6.9) / cos 4°
x = 15.833
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PLEASE HELP ASAP! THIS IS DUE TONIGHT!!
Question 13 (Essay Worth 12 points)
(Constant of Proportionality, Graphing Proportional Relationships, Real-World Proportional Problems HC)
An ice cream shop serves chocolate milkshakes that are made with ice cream and milk. There is a proportional relationship between the number of scoops of ice cream and the amount of milk needed to make them. For every 1 scoop of ice cream, one-half cup of milk is needed, and for every 5 scoops of ice cream, two and one-half cups of milk are needed.
Part A: Find the constant of proportionality. Show every step of your work. (4 points)
Part B: Write an equation that represents the relationship. Show every step of your work. (2 points)
Part C: Describe how you would graph the relationship. Use complete sentences. (4 points)
Part D: How many cups of milk are needed for 18 scoops of ice cream? (2 points)
The constant of proportion is k = 2. An equation that represent the relation is y = 2x. A graph of the equation y = 2x will show 2 units of x values for y on the y–axis. 9 cups of milk are needed for 18 scoops of ice cream
How to evaluate for the solution of the proportionThe proportional relationship between the number of scoops of ice cream and the amount of milk can be expressed as:
1 scoop of ice cream = 1/2 cup of milk
we evaluate for k the constant of proportion as follows:
1 = k × 1/2
k = 2 {cross multiplication}
if we represent a scoop of ice cream with y and a cup of milk with x, then we can write the equation that represent the relation as:
y = 2x.
In the graph of y = 2x, for every value of x on the x–axis, there are 2 units of x for y on the y–axis, that is when x = 1, y = 2 or x = 3 then y = 6.
For 18 scoops of ice cream, we will evaluate for the amount of cup of milk as follows:
18 = 2x
x = 18/2 {divide through by 2}
x = 9.
In conclusion, he constant of proportion is k = 2. An equation that represent the relation is y = 2x. A graph of the equation y = 2x will show 2 units of x values for y on the y–axis. 9 cups of milk are needed for 18 scoops of ice cream
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Please help asap!!!!!
Answer:
s = 9
Step-by-step explanation:
A = s^2
81 = s^2
√81 = s
s = 9
Clark gets a savings account that earns an interest rate of 0.5%. Clark starts with principle balance of $120. Use the equation I = prt where I = interest earning, p = principle balance, r = interest rate, and t = time in years. How much interest is earned, in dollars, when t = 10?
Clark earns $6 in interest when t = 10 years, and with principle balance of $120.
What is Interest ?When someone borrows a particular amount of money, they must pay interest. This phrase is frequently used in relation to banks, loans, payments, and investments. It is connected to the percentage, rate, and duration for which the borrowed amount of money is owed.
Using the formula I = prt, we can calculate the amount of interest earned by Clark over a period of 10 years:
I = prt
I = (0.005)(120)(10)
I = 6
Therefore, when t = 10 years, Clark earns $6 in interest.
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The graph of y = 3x - 4 is shown
Consider the solutions of y>3x-4 then day each point to the appropriate bin
The solutions of y > 3x - 4 are (-5,-3), (-3,4), (0,0) and (0, -4)
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The given equation of the graph is y>3x-4.
We have to check each of the ordered pair is a solution or not.
(-5, -3)
Plug in the values ion inequality
-3>3(-5)-4
-3>-15-4
-3>-19
(-5, -3) is the solution of y>3x-4.
(-3, 4)
4>-9-4
4>-13, So (-3, 4) is the solution of y>3x-4.
(-4, 0)
0>-12-4
0>-16, So (-4, 0) is the solution of y>3x-4.
(0, 0)
0>-4 So (0, 0) is the solution of y>3x-4.
(1, -7)
-7>-3-4 So (1, -7) is not the solution of y>3x-4.
(1, 1)
1>3-4
1>-1, so (1, 1) is not the solution of y>3x-4.
(2, 2)
2>6-4
2>2, so (2, 2) is not the solution of y>3x-4.
(4, 2)
2>12-4, so (4, 2) is not the solution of y>3x-4.
Hence, (-5,-3), (-3,4) , (0,0) and (0, -4) are the solutions of y > 3x - 4.
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Find using Heron's Formula
Answer: look at the image for the answer
Step-by-step explanation:
Use the figure shown for Items 1-4.
In the figure, m IJL= 0.5 m JIK.
The statements that must be true are
A. KL = 15
B. JL bisects overline IK
D. JL is the perpendicular bisector of overline IK .
2. JL = 15 units
3. angle IJK = 90
angle JKI = 45
angle kW = 45
How to find the value of xThe value of x is solved by the information given in the problem
IL = LK
3x = 2x + 5
solving for x
3x - 2x = 5
x = 5
angle IJL = 0.5 angle JIK,
< JIL = < KJL base angles of isosceles triangle
< JIL + < LJI + 90 = 180
< LKJ + < KJL + 90 = 180
equating both
< JIL + < LJI + 90 = < LKJ + < KJL + 90
< JIL + < LJI = < LKJ + < KJL
and < JIL = < KJL
hence < LJI = < LKJ
we can therefore say that
< JIL = < LJI = < LJK = < JKL = 45 degrees
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Celine's Cupcakes recorded how many cupcakes it recently sold in each flavor. carrot cupcakes 8 pumpkin cupcakes 1 lemon cupcakes 6 Considering this data, how many of the next 20 cupcakes sold would you expect to be lemon cupcakes?
Number of lemon cupcakes in next 20 cupcakes sold is 1.33.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
carrot cupcakes 8 pumpkin cupcakes 1 lemon cupcakes 6
Now,
For 20 cupcakes
Let the number of lemon cupcakes be x
8+6+1=1lemon
15=1lemon
20=1*20/15lemon
=4/3lemon
Therefore, by algebra the answer will be 1.33lemons
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[tex]4.03 x 10x^{6}[/tex]
The simplified form of the given expression 4.03x + 10x⁶, is [tex]x(4.03x + 10x^5)[/tex]
What is an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Given that an expression 4.03x + 10x⁶
We need to simplify it,
4.03x + 10x⁶
Applying the exponent rule: [tex]a^{b+c}=a^ba^c[/tex]
[tex]x^6=x^5x[/tex]
[tex]=4.03x+10x^5x[/tex]
Factor out common term x,
[tex]=x\left(4.03+10x^5\right)[/tex]
Hence, the simplified form of the given expression 4.03x + 10x⁶, is [tex]x(4.03x + 10x^5)[/tex]
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