Answer:
4
Step-by-step explanation:
You want the product of terms (n+1)/n for integers n from 1 to 3.
ProductWhen there are only 3 terms, we can write out the product:
(1 +1)/1 × (2 +1)/2 × (3 +1)/3 = 2 × 3/2 × 4/3 = 4
The product is 4.
__
Additional comment
You will notice the first term has a denominator of 1. In each pair of terms, the numerator of a term cancels the denominator of the next term. This means the product of k terms will always be (k+1). For 3 terms, the product is 3+1 = 4.
Apparently, the answer in each case is the hour number.
<95141404393>
Given a mean of 34 and a standard deviation of 5. Find the following z-scores.
The z-score for the raw score of 39 is 1.The z-score for the raw score of 30 is -0.8.Z-scores measure the number of standard deviations a raw score is from the mean. A positive z-score indicates a raw score above the mean, while a negative z-score indicates a raw score below the mean.
To find the z-scores, we need to use the formula:
z = (x - μ) / σ
where:
z is the z-score,x is the raw score,μ is the mean, andσ is the standard deviation.
Let's calculate the z-scores for the given mean of 34 and standard deviation of 5.For a raw score of 39:
z = (39 - 34) / 5
z = 5 / 5
z = 1
So, the z-score for the raw score of 39 is 1.For a raw score of 30:
z = (30 - 34) / 5
z = -4 / 5
z = -0.8
The z-score for the raw score of 30 is -0.8.
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Your score = 68, Need 78 or higher to score earn an A, Class mean = 72.5, Standard deviation = 4.3
With the given mean, you need a score of 78 or higher for an A, and your score is below that, you will not receive an A in the class.
What is mean?
In statistics, the mean is the numerical average of a set of data. It is calculated by adding up all the values in the data set and then dividing by the total number of values.
To determine your performance relative to the class, we can use z-scores, which indicate the number of standard deviations your score is away from the mean.
First, we need to calculate the z-score for your score:
z = (your score - class mean) / standard deviation
z = (68 - 72.5) / 4.3
z = -1.0465
Your z-score is -1.0465.
We can interpret this z-score using a standard normal distribution table or calculator. Approximately 15.9% of the distribution falls below a z-score of -1.0465, meaning your score is below about 15.9% of the class.
To determine the grade you will receive, we need to know the grading scale for the class. Assuming an A is 90 or above, the grade cutoffs might look something like this:
A: 90 or above
B: 80-89
C: 70-79
D: 60-69
F: below 60
Since you need a score of 78 or higher for an A, and your score is below that, you will not receive an A in the class.
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deigo has $500 dolars in his saving account each month he takes out $20 to pay for karate class. let m be the number of months write an expression yo show the total amount ain deigos saving account after m months
The expression shows the total amount in Diego's savings account after m months is 500 - 20m.
What is the total amount?
Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips. When two or more numbers are added together, a mathematical sum or maths sum is the outcome. It is the sum of the numbers when they are added up.
Here, we have
Given: Deigo has $500 in his saving account each month he takes out $20 to pay for karate class.
Let m be the number of months. Write an expression to show the total amount in Diego's savings account after m months.
The expression:
= 500 - 20m
Here m is the number of months
Hence, the expression shows the total amount in Diego's savings account after m months is 500 - 20m.
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You want to restrict the domain of the function shown in the graph below to make it one-to-one so that it will have an inverse. What are the largest domains, in interval notation you could use
Answer:
(-∞, -3] or [-3, ∞)
Step-by-step explanation:
You want the largest domain interval(s) on which the function shown in the graph could be one-to-one.
One-to-oneA one-to-one function must pass the horizontal line test. That is, no horizontal line can intersect its graph in more than one place.
ApplicationFor that to be true of the given function, the interval on which it is defined cannot include values on both sides of x=-3, where the graph has a minimum. That is, the domain must be either x ≤ -3, or x ≥ -3, (or some subset of either of these).
The largest intervals on which the function has an inverse are ...
(-∞, -3] or [-3, ∞)
<95141404393>
To make the given function one-to-one and have an inverse, we can restrict its domain to (-∞, a) or (a, ∞), where 'a' is the x-coordinate of the highest or lowest point on the graph.
Explanation:To make the given function one-to-one and have an inverse, we need to restrict its domain. The largest domains, in interval notation, that can be used are: (-∞, a) or (a, ∞) where 'a' is the x-coordinate of the highest or the lowest point on the graph, depending on the function type.
If the graph has a highest point, the domain is restricted to (a, ∞), where 'a' is the x-coordinate of the highest point. If the graph has a lowest point, the domain is restricted to (-∞, a), where 'a' is the x-coordinate of the lowest point.
For example, if the graph has a highest point at (3, 5), the domain would be restricted to (3, ∞) to make the function one-to-one and have an inverse.
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Which two expressions each represent 4/20?A) 4⟌20 and 4 ÷ 20 Eliminate B) 4⟌20 and 20 ÷ 4 C) 20⟌4 and 20 ÷ 4 D) 20⟌4 and 4 ÷ 20
Answer:
D
Step-by-step explanation:
Recall that a⟌b means b/a. So, we want to find the expression: 20⟌4 and 4 ÷ 20. By examining, we see that D has those two expressions.
So, the answer is \(\boxed{D}\) and we're done!
Answer:
Answer:
D
Step-by-step explanation:
Recall that a⟌b means b/a. So, we want to find the expression: 20⟌4 and 4 ÷ 20. By examining, we see that D has those two expressions.
So, the answer is and we're done!
Explain how adding and subtracting decimals is similar to adding and subtracting whole
numbers. Explain how they are different.
Subtracting decimals, just like adding decimals, is similar to subtracting whole numbers. Just like adding decimals, the only difference is that we line up according to the decimal point instead of the last digit
How to illustrate tye decimal?One type of number that has a whole number and a fractional component separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. An example of a decimal number is 34.5.
Comparable to subtracting whole numbers is the operation of adding and subtracting decimals. The only difference between adding decimals and doing so is that we line up according to the decimal point rather than the last digit.
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solve the question please
9514 1404 393
Answer:
arcsin(2/3) ≈ 41.81°, 138.19°Step-by-step explanation:
Rewrite as a quadratic in sin(θ) and solve that in the usual way.
3cos(2θ) +sin(θ) = 1
3(1 -2sin²(θ)) +sin(θ) = 1 . . . . use an identity for cos(2θ)
6sin²(θ) -sin(θ) -2 = 0 . . . . . rearrange to standard form
(3sin(θ) -2)(2sin(θ) +1) = 0 . . . . factor
The values of sin(θ) that make this true are ...
sin(θ) = 2/3, sin(θ) = -1/2
In the range 0 < θ < 180°, we're only interested in ...
sin(θ) = 2/3
θ = arcsin(2/3) or 180° -arcsin(2/3)
θ ≈ {41.81°, 138.19°}
Kevin has 6 pounds of ham to make 12 sandwiches. He puts the same amount of ham on each sandwich. Which statement about Kevin’s sandwiches is true?
Answer:
what are the options? But assuming he put the same amount in each sandwich he would put half a pound in each sandwich
PLEASE HELP!!!
Nevaeh and Christian are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Nevaeh is 650 miles away from the stadium and Christian is 450 miles away from the stadium. Nevaeh is driving along the highway at a speed of 50 miles per hour and Christian is driving at speed of 25 miles per hour. Let NN represent Nevaeh's distance, in miles, away from the stadium tt hours after noon. Let CC represent Christian's distance, in miles, away from the stadium tt hours after noon. Graph each function and determine the number hours after noon, t,t, when Nevaeh and Christian are the same distance from the stadium.
The linear functions that define their distances are given as follows:
Nevaeh: 650 - 50t.Christian: 450 - 25t.The number of hours after noon in which they will be the same distance away from the stadium is of:
8 hours.
What are the linear functions?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the parameters are given as follows:
m is the slope.b is the y-intercept.In the context of this problem, the meaning of each parameter is:
The slope is by how much they get closer each hour, which is the velocity as a negative.The intercept is the initial distance.They will be the same distance away at the point of intersection of the graph given at the end of the answer, which is of 8 hours.
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5. Apply the law of syllogism to form a new statement based on the following:
R S: If the dog jumps in the lake, then it gets wet.
S T: If the dog gets wet, then it can’t come in the house.
The new statement becomes "If the dog jumps in the lake, then it can't come in the house".
What is the law of syllogism?Legal syllogism is a legitimate concept that deals with the law and how it is applied, specifically a type of argument that uses deductive reasoning to determine whether a given act is legal.
We have a statement:
R → S: If the dog jumps in the lake, then it gets wet.
S > T: If the dog gets wet, then it can’t come in the house.
After applying the law of syllogism to form a new statement:
R→T:
If the dog jumps in the lake, then it can't come in the house.
Thus, the new statement becomes "If the dog jumps in the lake, then it can't come in the house".
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Joe measured the diameter of a tennis ball correct to the nearest millimetre. The upper bound of his measurement was 6.75 centimetres. Write down, in imillimetres, the lower bound of his measurement.
The lower bound of the measurement is 65.5 millimetres.
A centimetre equals 10 millimetres, a measure is expressed by the measured magnitude plus uncertainty, the latter one represents the grade of precision of the measure instrument. That is to say:
\(y = x + \epsilon\) (1)
Where:
\(x\) - Measured magnitude, in millimeters.\(y\) - Possible magnitude, in millimeters.\(\epsilon\) - Uncertainty, in millimeters.If we know that \(y = 67.5\,mm\) and \(\epsilon = 1\,mm\), then the lower bound of the measurement is:
\(y = 67.5\,mm - 2\cdot (1\,mm)\)
\(y = 65.5\,mm\)
The lower bound of the measurement is 65.5 millimeters.
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N(-2,-2) After a rotation 90 degrees counterclockwise
Answer: (2,-2)
Step-by-step explanation:
Rotating 90 degrees counterclockwise (about the origin) maps (x,y) onto (-y,x), so the answer is N'(2,-2)
If /is an explanatory variable and m is the corresponding response variable, which of these would be represented by the horizontal axis on a scatterplot? O A. Neither /nor m B. 1 C. m D. Both / and m??
Answer: The explanatory variable goes in the horizontal axis.
Step-by-step explanation:
The explanatory variable is the variable that can be manipulated in an experiment. This is also called (and more commonly) the independent variable. This is the variable we usually "input" in a system, with the objective of observing the change in the response variable (also called the dependent variable, because it depends on the independent variable).
Usually, we write the explanatory variable on the horizontal axis and the response variable on the y-axis.
Then the correct answer would be C: /.
This is only because m is defined ONLY as a response variable, there are a lot of experiments with two variables, where we can use each of the variables as the explanatory variable.
And also there are some cases where in order to make the graph easier to read, we do not use the explanatory variable in the horizontal axis, instead, we may use some transformation or something alike, but those are really special cases.
A piece of wood is in the shape of a rectangular prism with a length of 10 inches, a width of 4 inches, and a height of 5 inches. You cut the wood in half to form two pieces of wood, each with a length of 5 inches. What is the percent increase in the total surface area? Round your answer to the nearest hundredth, if necessary. %
Answer: 18.18%
Step-by-step explanation:
First, let's calculate the surface area of the original piece of wood. The surface area (SA) of a rectangular prism is given by the formula:
\($$SA = 2lw + 2lh + 2wh$$\)
where \(\(l\)\) is the length, \(\(l\)\) is the width, and \(\(h\)\) is the height. For the original piece of wood, \(\(l = 10\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\).
After the piece of wood is cut in half, the length becomes 5 inches, but the width and height remain the same. So, for each of the two new pieces of wood, \(\(l = 5\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\). The total surface area of the two new pieces of wood is twice the surface area of one of the new pieces.
The percent increase in the total surface area is given by the formula:
\($$\text{Percent Increase} = \frac{\text{New Total SA} - \text{Original SA}}{\text{Original SA}} \times 100\%$$\)
Let's calculate these values.
The percent increase in the total surface area when the piece of wood is cut in half is approximately 18.18%.
During the NCAA basketball tournament season, affectionately called March Madness, part of one team's strategy is to foul their opponent if his free-throw shooting percentage is lower than his two-point field goal percentage. Juan's free-throw shooting percentage is lower and is only 53.5%. After being fouled he gets two free-throw shots each worth one point. Calculate the expected value of the number of points Juan makes when he shoots two free-throw shots.
Using the binomial distribution, the expected value of the number of points Juan makes when he shoots two free-throw shots is 1.07.
For each shot, there are only two possible outcomes, either Juan makes it, or he misses it. The probability of making a shot is independent of any other shot, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability, and the expected value is:
\(E(X) = np\)
In this problem:
Two shots, hence \(n = 2\)He makes 53.5% of the shots, hence \(p = 0.535\).Then:
\(E(X) = np = 2(0.535) = 1.07\)
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Select the correct answer.
Katrina inserts a key into her car's ignition. She turns the key, putting her car into ignition mode. In this mode, some energy is used to increase the
temperature of the car's fuel. This energy allows the fuel to combust and the car to move. What's this energy called?
absorbed energy
O B. activation energy
Reset
Next
O C. chemical energy
O A.
O D. released energy
O E. solar energy
Answer: C. Chemical Energy
Step-by-step explanation: This is because when a car gets started there is some sort of "spark" that happens. I hope this helps.
Answer:
Activation energy
Step-by-step explanation:
In cars , fuel is burned to produce heat energy. This burning of fuel is a chemical reaction, and to start a chemical reaction some minimum amount of energy is required to start the reaction called Activation energy . So here the energy provided through car ignition is supplied to give some energy to start the burning of the fuel .
Hence the correct choice is Activation energy .
Simplify 3x + 6x2 - 5x - x2
6x2 + 2x
0 6x²-2x
5x2 - 2x
5x2 + 2x
HELP
Step-by-step explanation:
I don't get it can post a picture with it so I can understand more better then the writing
question 14, thank you
The parametric equation that represents the same path as the original equation is x = 3 + cos(2θ) and y = 2sin(2θ).
Path of the parametric equations
The given parametric equation can be expressed as follows;
x = 3 + cosθ
y = 2sinθ
From the given options, a plot of the various equation can be used to determine the paths of the equation.
For; x = 3 + cos(2θ) and y = 2sin(2θ), its parametric plots is same as original equation since the equation [3 + cos(2θ) and y = 2sin(2θ)] changed at equal rate of the angles.
Thus, the parametric equation that represents the same path as the original equation is x = 3 + cos(2θ) and y = 2sin(2θ).
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Paddy spent $63.00 on three tickets to a concert. Javier spent $76 on four tickets. How much les per ticket did Javier pay compared to paddy. PLEASE HURRY
Answer:The answer is 2
no time for explonations
what is the answer???
Answer:
The diameter is 22cm
Step-by-step explanation:
I dont know if thats what the question is asking but here
Answer:
Diameter- 22cm, circumference - 69.08cm
Step-by-step explanation:
How we find the diameter is we simply multiply the radius by 2 and get 22.
How we find the circumference is we use the diameter and multiply it by pi (3.14) and get 69.08cm.
I wasn't to sure what you were asking here but I did the circumference and the diameter.
Your friend tells you she has 7 coins in her hand (just pennies, nickels, dimes and quarters). If you guess how many of each kind of coin she has, she will give them to you. If you guess randomly, what is the probability that you will be correct?
Provide an explanation for the formula used.
The probability that the person will be correct based on the information will be 0.00833.
How to solve probabilityIn this case, the total coins are 7 and the types of coins are 4. Therefore, the combination will be:
= 10! / 3!(10 - 3)!
= 10! / 3!7!
= (10 × 9 × 8) / (3 × 2)
= 120
Therefore, the probability will be:
= 1/120 = 0.00833
In conclusion, the correct option is 0.00833.
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a student sets up the following equation to convert a measurement. (the stands for a number the student is going to calculate.) fill in the missing part of this equation.
Missing part of the equation is 6.0 × \(10^{-8}\) \(m^{3}\).
It is given that students sets up the equation (0.060 \(cm^{3}\))(_) = (_) \(m^{3}\).
i.e. we have units of \(cm^{3}\) and wants units of \(m^{3}\) .
We know that 100 cm = 1 meter
i.e. 100cm/1 meter
⇒ \((100cm/1 meter)^{3}\) = 1 × \(10^{6} cm^{3}/m^{3}\)
⇒1/(1 × \(10^{6} cm^{3}/ m^{3}\)) = (1 × \(10^{-6} m^{3}/cm^{3}\))
We can use this new conversation factor to convert volume from \(cm^{3}\) to \(m^{3}\).
(0.060 \(cm^{3}\))(1 × \(10^{-6} m^{3}/cm^{3}\)) = (_) \(m^{3}\)
(0.060 \(cm^{3}\))(1 × \(10^{6} cm^{3}/m^{3}\)) = 6.0 × \(10^{-8} m^{3}\).
This is the required equation.
If we want to convert measurement,
to convert a smaller unit to a larger init, divide it by the number of smaller units which are needed to make larger unit. To convert from a larger unit to a smaller one, multiply. To convert from a smaller unit to a larger one, divide.
A conversation factor is a number used to change one set of units to another, by multiplying or dividing.
Given question is incomplete.
a student sets up the following equation to convert a measurement. (the stands for a number the student is going to calculate.) fill in the missing part of this equation (0.060 \(cm^{3}\))(_) = (_) \(m^{3}\).
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Dividing sin^2Ø+cos^2Ø=1 by ____ yields 1+cot^2Ø=csc^2Ø
a.cot^2Ø
b.tan^2Ø
c.cos^2Ø
d.csc^2Ø
e.sec^2Ø
f.sin^2Ø
To obtain the required equation we divide the equation by sin²Ø.
What are trigonometric functions?The first six functions are trigonometric, with the domain value being the angle of a right triangle and the range being a number. The angle, expressed in degrees or radians, serves as the domain and the range of the trigonometric function (sometimes known as the "trig function") of f(x) = sin. Like with all other functions, we have the domain and range. In calculus, geometry, and algebra, trigonometric functions are often utilised.
The given equation is:
sin²Ø+cos²Ø=1
To obtain the required equation we divide the equation with sin²Ø:
sin²Ø/sin²Ø +cos²Ø/ sin²Ø = 1/sin²Ø
1 + cot²Ø = csc²Ø
Hence, to obtain the required equation we divide the equation by sin²Ø.
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Draw a model that shows 2 items being divided equally for 3 people. How much will each person have?
Answer:
each person will have 2/3
Step-by-step explanation:
you would want to draw 2 circles/squares and split it up into thirds and color them so each person will get 2/3 of the circle/squre
What type of observation is this?
The cheese looks furry.
Answer:
This is a qualitative observation
Step-by-step explanation:
It is observing the qualities of the cheese as opposed to quantity which would include numbers or data.
Tell whether each ordered pair is a solution of the equation: 2x - y = 4, ( 3, -2 )
The ordered pair (3, - 2) is not a solution to the equation 2x - y = 4
What is an ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
Pair in Order = (x,y)
x is the abscissa, the distance measure of a point from the primary axis x
y is the ordinate, the distance measure of a point from the secondary axis y
Given, an equation 2x - y = 4 now if (3, - 2) is an ordered pair then putting the numerical value of x must satisfy the y value.
when x = 3,
2(3) - y = 4.
6 - y = 4.
- y = 4 - 6.
- y = - 2.
y = 2.
So, (3, - 2) is not a solution to an equation 2x - y = 4.
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Solve for y. 2(y-2) -6y=-28
Answer:
y = -8
Step-by-step explanation:
2(y-2)- 6y-28 = 0
2y - 4 -6y - 28 = 0
-4y = 32
y = -8
Mr bailey plans to plant soybeans in 4 of every 9 acres This year he plans to farm 2,100 acres what is a reasonable estimate of the numbers of acres on which he will plant soybeans
A.60 B. 230 C.520 D.930
Option D, which is the closest choice to 933.33, is 930. As a result, 930 fraction acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans
what is fraction?A fraction is a number that represents a portion of a whole or a ratio between two quantities in mathematics. It is represented as a top number (numerator) over a bottom number (denominator) divided by a horizontal line, also known as a vinculum. The fraction 3/4, for example, represents three-quarters of a whole that has been divided into four equal parts. Proper fractions, improper fractions, and mixed numbers are all ways to express a fraction. A suitable fraction is one in which the numerator is less than the denominator, for example, 2/5.
Mr. Bailey intends to plant soybeans on 4 of every 9 acres, which equates to (4/9) of the total acres he farms.
If he intends to cultivate 2,100 acres, the number of acres planted with soybeans is:
(4/9) x 2,100 = 933.33
We must round this amount to the next whole number because he cannot plant soybeans on a fraction of an acre.
Option D, which is the closest choice to 933.33, is 930. As a result, 930 acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans.
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sin 0 cos² 0 + sin³ 0 = sin 0
Answer:
The equation is true
Step-by-step explanation:
Using the identities sin^2(x) + cos^2(x) = 1 and sin^3(x) = sin^2(x)sin(x), we can rewrite the left-hand side of the equation as:
sin(0) cos²(0) + sin³(0) = sin(0)(1-sin^2(0)) + sin^2(0)sin(0)
Since sin(0) = 0, this simplifies to:
sin(0) cos²(0) + sin³(0) = 0
On the right-hand side, we have sin(0) = 0, so the equation becomes:
0 = 0
Therefore, the equation is true:
sin(0) cos²(0) + sin³(0) = sin(0)
Hope this helps!
The amount of paper used weekly by the Pittsburgh paper is approximately how many times more than the amount used by the Newville paper
In scientific notation, the amount of paper used weekly by the Pittsburgh paper is approximately 5.0 x 10⁷ times more than the amount used by the Newville paper.
What is scientific notation?Scientific notation is a shorthand or approximated way to write large or small numbers.
Scientists use scientific notations to eliminate the many zeros in a number so that the number is written in a standard form.
In scientific notation, a positive integer is multiplied by another integer (positive or negative) in the power of ten.
The best way to compute the ratio of paper usage at the two newspapers is to rewrite the numbers in long form and convert the answer to scientific notation.
Location Paper Used (square yards)
Newville 8.0 x 10³ = 8,000
Pittsburgh 4.0 x 10¹¹ = 400,000,000,000
The ratio of Pittsburgh to Newville = 8,000:400,000,000,000
= 1: 50,000,000
= 1: 5.0 x 10⁷
We can also divide 400,000,000,000 by 8,000 to get 50,000,000, which can then be written in standard form as 5.0 x 10⁷.
Thus, expressing the result in scientific notation, the Pittsburgh paper approximately uses 5.0 x 10⁷ more paper than the Newville paper.
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Question Completion:Location Paper Used (square yards)
Newville 8.0 x 10³
Pittsburgh 4.0 x 10¹¹