A: 56
Solution:
![](data:image/png;base64,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</b></td></tr>
</table></td>
</tr>
<tr><td height=)
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Term
PROBABILITY
How to solve probability problems must be multiplied?
When all the outcomes are all equally likely, the basic formula is:
Probability = (# of favorable outcomes)/(#of possible outcomes)
Q: If 2 studnets are chosen at random to run an errand from a class with 5 boys and 5 girls, what is the probability that both students chosen will be girls?
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Definition
A: 2/9
Explanation: The probability that the 1st student chosen will be a girl is 5/10=1/2, and since there would be 4 girls and 5 boys left out of 9 students, the probabilitiy that the 2nd student chosen will be a girl (given that the first student chosen is a girl) is 4/9. Thus the probability that both students chosen will be girls is (1/2)x(4/9)=2/9
***There was a conditional probability here because the probability of choosing a second girl was affected by another girl being chosen first. |
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Term
PROBABILITY (Q 2)
How to solve probability problems must be multiplied?
When all the outcomes are all equally likely, the basic formula is:
Probability = (# of favorable outcomes)/(#of possible outcomes)
Q: In a fair coin is tossed 4 times, what's the probability that at least 3 of the 4 tosses will be heads. |
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Definition
A: 5/16
Setup:There are 2 possible outcomes for each toss, so after 4 tosses, there are 2x2x2x2=16 possible outcomes.
We can list the different possible sequences where at least 3 of 4 tosses are heads, these sequences are:
HHHT
HHTH
HTHH
THHH
HHHH
Thus the probability that at least 3 of the 4 tosses will come up heads is (# of favorable outcomes)/(#of possible outcomes) = 5/16 |
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Term
STANDARD DEVIATION
How to deal with standard deviation?
Standard deviation is a measure of how spread out a set of numbers is (how much the numbers deviate from the mean). The greater the spread, the greater the standard deviation.
How to calculate:
1. Find the average of the set.
2. Find the differences between the mean and each value in the set.
3. Square the differences.
4. Find the average of the squared differences.
5. Take the positive square root.
Q:
High temperatures, in Farenheit, in two cities over 5 days:
September 1 2 3 4 5
City A 54 61 70 49 56
City B 62 56 60 67 65
For the 5 day period listed, which city had the greater standard deviation? |
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Definition
A: City A (standard deviation = 7.1)
City A = √(254/5) =7.1
City B = √(74/5) =3.8 |
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Term
POWERS
How to multiply with exponent powers?
Q: xa • xb = ?
Q: 23 • 24 = ?
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Definition
A: xa • xb = xa+b
A: 23 • 24 =27
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Term
POWERS
How to divide with exponent powers?
Q: xc/xd = ?
Q: 56/52 = ? |
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Definition
A: xc/xd = xc-d
A: 56/52 = 54 |
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Term
POWERS
How to handle a value with an exponent raised to an exponent?
Q: (xa)b = ?
Q: (34)5 = ? |
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Definition
A: (xa)b = xab
A: (34)5 = 320 |
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Term
POWERS
How to handle powers with a base of 0?
Q: 04 = ?
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Definition
A: 04 = 0
04 = 012 = 01 = 0
Any non-zero number raised to the exponent 0 equals 1. |
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Term
POWERS
How to handle powers with an exponent of 0?
Q: 30 = ?
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Definition
A: Q: 30 = 1
30 = 150 = (.34)0 = (-345)0 = ∏0 = 1
All numbers raised to the 0 power equal 1, except 00 which is undefined. |
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Term
POWERS
How to handle negative powers?
Q: n-1 = ?
Q: n-2 = ?
Q: 5-3 = ?
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Definition
A: n-1 = 1/n
A: n-2 = 1/n2
[image]
A number raised to the exponent -x is the reciprocal of that number raised to the x exponent. |
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Term
FRACTIONAL POWERS
How to handle fractional powers?
Q: x1/2 = ?
Q: x1/3 = ?
Q: x2/3 = ?
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Definition
Answers (separated by commas)
[image]
Note: as seen above, fractional exponents relate to roots. |
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Term
CUBE ROOTS
How to handle cube roots?
[image] |
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Definition
[image]
A1: -5 • -5 • -5 = -125
A2: 1/2 • 1/2 • 1/2 =1/8 |
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Term
ROOTS
How to add and subtract roots?
√2 + 3√2 = ?
√2 - 3√2 = ?
√2 + √3 = ? |
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Definition
√2 + 3√2 = 4√2
√2 - 3√2 = -2√2
√2 + √3 = cannot be combined
***Note: You can add/subtract roots only when the parts inside the √ are identical. |
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Term
ROOTS
How to multiply and divide roots?
(2√3)(7√5) = ?
[image] |
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Definition
A: (2 • 7)(√3 • √5) = 14√15
[image]
***Note: to multiply/divide roots, deal with what's inside the √ and outside the √ separately. |
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Term
RADICALS
How to simplify a radical?
Q: √48 = ?
Q: √180 = ? |
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Definition
A: √48 = √16 • √3 =4√3
A: √180 = √36 • √5 = 6√5
***Note: look for factors of the number under the radical sign that are perfect squares; then find the square root of those perfect squares. Keep simplifying until the term with the square root sign is as simplified sas possible: there are no other perfect square factors (4, 9, 16, 25, 36, etc.) inside the √. Write the perfect squares as separate factors and "unsquare" them. |
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Term
RADICALS
List all perfect squares up to 100.
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Definition
- 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144
- 02 = 0, 12 = 1, 22 = 4, 32 = 9, 42 = 16, 52 = 25, 62 = 36, 72 = 49, 82 = 64
- 92 = 81, 102 = 100, 112 = 121, 122 = 144
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Term
QUADRATIC EQUATIONS
How to solve quadratic equations?
Solve:
1. x2+6=5x
2. x2=9
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Definition
1. x2+6=5x
x2-5x+6=0
(x-2)(x-3)=0
x-2=0 or x-3=0
x = 2 or 3
2. x2=9
x = 3 or -3
Notes: Manupulate the equation if necessary into the "_____=0" form, factor the left side (reverse FOIL by finding two numbers whose product is the constant and whose sum is the coeffecient of the term without the exponent), and break the quadratic equation into two simple expressions. Then find the value(s) for the variable that make either expression 0.
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Term
MULTIPLE EQUATIONS
How to solve multiple equations?
Q: if 5x-2y = -9 and 3y-4x = 6, what is the value of x+y?
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Definition
A:
5x-2y = -9
+[-4x+3y = 6]
x + y = -3
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Term
SEQUENCES
How to solve a sequence problem?
Q: What is the difference between the fifth and fourth terms in the sequence 0, 4, 18,... whose nth term is n2(n-1)?
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Definition
A: 52
Setup: Use the definition fiven to come up with the values for your terms:
n5 = 52(5-1) = 25(4) = 100
n4 = 42(4-1) = 16(3) = 48
So the positive difference between the 4th and 5th terms is 100-48 = 52 |
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Term
FUNCTIONS
How to solve a function problem?
Q: What is the minimum value of x in the function f(x)=x2-1?
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Definition
A: the minimum is -1
Explanation: In the function f(x)=x2-1, if x is 1, then f(1)=12-1=0. In other words, by inputting 1 into the function, the output f(x)=0. Every number inputted has one and only one output (although the reverse is not necessarily true). You're asked to find the minimum value so how would you minimize the expression value f(x)=x2-1? Since x2 cannot be negative, in this case f(x) is minimized by making x=0: f(0) = 02-1=-1, so the minimum value of the function is -1.
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Term
LINEAR EQUATIONS
How to handle linear equations?
Q: What is the common expression of linear equations? |
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Definition
A: y=mx+b
m=slope of the line = rise/run
b=the y-intercept
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Term
INTERCEPTS
How to find the x- and y-intercepts of a line?
Q: What are the x- and y-intercept for the equation y=-(3/4)x+3
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Definition
A: x-intercept = 4
y-intercept =3
solving for x
0=-(3/4)x+3 <-divide both sides by 3/4
0=-x+4
x=4 |
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Term
TRIANGLE
How to find the maximum and minimum lengths for a side of a triangle?
Q: The length of one side of a triangle is 7. Yhr length of another side is 3. What is the possible range of possible lengths for the third side?
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Definition
A: between 4 and 10
The third side is greater than the difference (7-3=4) and less than the sum (7+3=10) |
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Term
ANGLES
How to find one angle or the sum of all the angles of a regular polygon?
Q: What is the equation for the sum of the interior in a polygon with n sides?
Q: What is the equation for the degree measure of one angle in a regular polygon with n sides? |
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Definition
A: (n-2)x180
A: ((n-2)x180)/n
***Note: The term regular means all angles in the polygon are of equal measure. |
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Term
CIRCLES/ARCS
How to find the length of an arc?
Q: What is the equation for determining the length of an arc?
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Definition
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Term
CIRCLES
How to find the area of a sector?
Q: What is the equation for determing the area of a secotr?
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Definition
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Term
CIRCLES/FIGURES
If the area of the square is 36, what is the circumference of the circle?
[image] |
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Definition
A: circumference = ∏(diameter) = 6∏√2
To get the circumference, you need the diameter or radius. The circle's diameter is also the square's diagonal. The diagonal of the square is 6√2. This is because the diagonal of the square transforms it into two separate 45˚-45˚-90˚ triangles. So the diameter is 6√2.
[image] |
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Term
RECTANGLES
How to find the volume of a rectangular solid?
Q: What is the equation to find the volume of a rectangular solid? volume = ?
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Definition
A: volume=length x width x height |
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Term
RECTANGLES
How to find the surface area of a rectangular solid?
Q: surface area = 2(lw)+2(wh)+2(lh)
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Definition
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Term
CYLINDER
How to find the volume of a cylinder?
Q: volume of a cylinder = ?
Q: what is the volume if r=6 and h=3 |
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Definition
A: volume = area of base x height =
∏r2h
A: ∏(62)(3) = 108∏ |
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Term
CYLINDER
How to find the surface area of a cylinder?
Q: What is the equation for surface area of a cylinder?
Q: Find surface arae when r=3 and h=4
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Definition
A: surface area = 2∏r2+2∏rh
A: 2∏(3)2+2∏(3)(4) = 18∏+24∏ = 42∏ |
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Term
WORK RATE
How to solve problems with combined work rate?
Q: What is the general equation for combined work rate?
Q: If it takes Daniel 9 hours to clean an office building and it takes Mark 6 hours, how long would it take the two of them, working together to clean the building?
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Definition
A:
[image]
A: According to the work formula, the inverse of the time it takes working together equals the sum of the inverses of the time it takes each individually.
1/9 + 1/6 = 1/t
2/18 + 3/18 = 1/t
5/18 = 1/t
t = 1/(5/18) = 18/5
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Term
COMBINED RATES
How to find average rate?
Q: Angelo ran 6 miles per hour for 3 miles and 8 miles per hour for 2 miles. What was his average spped in MPH?
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Definition
A: 6 2/3
The question is average speed, or distance per time. You know the total distance Angelo ran, but you don't know the total time. First determine each individual segment of time, and then add them. This will enable you to find the average. He ran 6 miles per hour for 3 miles, so he ran for half an hour. Then, he ran 8 miles per hour for 2 miles, so he ran for one-fourth of an hour. You can now find his average speed:
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Term
DISTANCE
Q: A person walking 3 miles per hour goes from point A to point B in 10 minutes. How many miles is it from point A to point B?
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Definition
Answer: 1/2 miles
Ten minutes is to 1/6 of an hour. If someone can go 3 miles in a full hour, he can go 1/6 of that in 1/6 of an hour. Multiply: 1/6 • 3 = 1/2 |
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Term
ANGLES
Q: The angles of a triangle are in the ratio of 5:6:7. What is the degree measure of the largest angle?
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Definition
Answer: 70
The angles are in the ratio of 5:6:7, so represent them as 5x, 6x, and 7x. The sum of the angles in any triangle is 180, so 5x+6x+7x=180, 18x=180, and x=10. So the largest angle has the measure of 7 x 10 = 70. |
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Term
Q: If a>1, which of the following equal to
[image]
- a
- a+3
- 2/(a-1)
- 2a/(a-3)
- (a-1)/a
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Definition
A: 2/(a-1)
Solution:
[image]
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Term
Solve:
2x2 = 32
A B
x 4
Which is bigger, are they equal or can you not tell? |
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Definition
A: you cannot tell
2x2 = 32
x2 = 16
√x2 = √16
x = +/- 4
Plus or minus because x could be 4 or -4 since it is squared. |
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Term
A square is inscribed in a circle with a circumference of 16∏√2. What is the area of the square?
• 32 • 64 •128 •256 •512 |
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Definition
A: 256
Start by drawing the circle with the square inscribed, to visualize the dimensions. If a square with a side length a is inscribed in a circle, the diagonal of the square, with length a√2, is also the diameter of the circle. The circumference of a circle is ∏d. Since the circumference is given as 16∏√2, ∏d = 16∏√2. Solve for d by dividing both sides by ∏to get 16√2. Since this diamter is also the diagonal of the square creates two 45-45-90 triangles, the sides of the square are the legs of the 45-45-90 triangle with a hypotenuse of 16√2. Recall that the sides of a 45-45-90 triangle are always in the ratio of 1:1:√2. Therefore, if the hypotenuse is 16√2 the side length of the square is 16 and the area is 256. |
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Term
In a class of 30 students the ratio of males to females is 3 to 2. What is the number of females in the class?
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Definition
A: 12
2/5 = f/30 = 60 = 5f f = 12 or 30/5 = 6 6x2 = 12 |
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Term
If a company receives 60% of it's income from individuals and in 2009 its income from individuals was 90 million dollars, what was the company's total income? |
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Definition
A: 150 million
Let T be the toal income received: 90 = .6 • T, so T = 150 |
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Term
Question:
A B
(√6a)(5√3) √200a
Which is greater, are they equal or can you not tell? |
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Definition
A: A is larger
You need to simplify each of the quantities in order to compare them. To simplify Quantity A, multiply the radicals and simplify as shown:
(√6a)(5√3)=(5√6a • 3) = 5√18a = 5√9•√2a = 5•3•√2a=15√2a
Next simplify Quantity B:
√200a = √200 • √a = (√100•2)•√a = √100•√2√a
= 10√2a
15√2a > 10√2a |
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Term
A trail mix has a ratio of cashews to peanuts of 2:3. The ratio of cashews to raisins is 2:3. What is the ratio of cashews to raisins?
• 1:2
•2:9
•3:9
•4:6
•4:9 |
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Definition
This question is asking about a combined ratio. To compare the ratios, the number of peanuts must be the same in each ratio. Since peaunuts are represented by 2 in one ratio and 3 in another, convert them both to 6. The ratio of cashews to peanuts is 2:3 = 4:6, and the ratio fo peanuts to raisins is 2:3 = 6:9. Now "peanuts" is the same in both ratios, so the ratio of cashews to raisins is 4:9 and the answer is E. |
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Term
There are five employees willing to serve on one of two different committees. If each employee can only serve on one committee, how many possible ways are there for the openings on the committees to be filled? |
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Definition
A: 20
There are 5 ways for the opening on the first committee to be filled because all 5 people are willing to serve on either committee. With that opening filled, there are 4 ways for the second opening to be filled. There are 5•4=20 total ways to fill the opening. So the answer is 20. |
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Term
Triangle ABC is similar to triangle DEF. If AB=8, AC=16, and DE=48, what is EF/BC?
•2
•3
•6
•8
•16 |
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Definition
Drawing this one helps.
The question is asking for the ratio of corresponding sides of similar triangles. While you aren't given any information about BC or EF, in similar triangles, the ratio of corresponding sides is constant. Since you can calculate the ratio of the corresponding side lengths DE and AB, the ratio will be the same for EF and BC. This means that DE/AB = 48/6 = 6 gives you that EF/BC = 6 |
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Term
In 2010, the average price for Company A's laptops was $800. What are the possible prices during the 4 quarters of 2010?
A) $750, $800, $850, $800
B) $850, $950, $800, $850
C) $800, $750, $700, $700
D) $950, $950, $900, $950
E) $900, $850, $750, $700 |
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Definition
First off, look for answers that cold plausibly give you an average of $800. B and D definitely can't so eliminate them right away. C will be too low so eliminate that choice as well. You are now left with A and E as the only plausible answer.
A =750 + 800 + 850 + 800 = 3200
3200/4 = 800
B= 900 + 850 + 750 + 700 = 3200
3200/4 = 800
A and E both work. |
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