A sequence of transformations that would produce the same result include the following: C. a reflection over the x-axis and then a reflection over the y-axis.
What is a reflection across the x-axis?In Mathematics and Geometry, a reflection over or across the x-axis is modeled by this transformation rule (x, y) → (x, -y).
By applying a reflection over the x-axis to the coordinate of the given triangle ABC, we have the following coordinates for A':
Coordinate A = (4, 3) → Coordinate A' = (4, -3)
By applying a reflection over the y-axis to the coordinate of the given triangle A'B'C', we have the following coordinates for A'':
Coordinate A' = (4, -3) → Coordinate A'' = (-(4), -3) = (-4, -3).
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Complete Question:
Triangle ABC is rotated 180º using the origin as the center of rotation.
Which sequence of transformations will produce the same result?
a translation up 4 and then a reflection over the y-axis
a translation up 4 and then a translation right 6
a reflection over the x-axis and then a reflection over the y-axis
a translation right 6 and then a reflection over the x-axis
Solve for x please. I need step-by-step explanation. Thank you.
Step-by-step explanation:
\((7x)^x=7^{7^7}\)log both sides:
\(log_7(7x)^x=log_7(7^{7^7})\)\(xlog_7(7x)=7^7\)\(x(1 +log_7x) = 7*7^6\)\(x(1 +log_7x) = 7^6(1+6)\)\(x(1 +log_7x) = 7^6(1+log_77^6)\)Compare both sides to get:
\(x=7^6\)or
\(x=117649\)Jennie was collecting bugs for a school science project. She measured
each one in inches and wrote their lengths below.
1 1 8 3 14
12 3 2 36
18 30
5
Which list shows the lengths in order from least to greatest?
5
A.
1
3
3
18
8
36
14
30
2.
B.
3
18
8
36
1
3
듬
12
30
2
C,
14
30
3
18
8
36
1
3
2
12
D.
8
36
14
30
2
18
12
Please help! W/ work pls due at 8 am! It’s 6:14
Answer:
c. b. a.
Step-by-step explanation:
yan po sagot sana po makatulong ito lang po alam ko ehh
A = −3, 5, −7, 9, −11, . ..
C = 5, −5 4 , 5 16 , −5 64 , 5 256 ,...
sequence formula, please.
The sequence formula for sequence A is given by:an = 2n - 5.The sequence formula for sequence C is given by:an = (-5/4)^(n-1) * 5.
The main answer for the sequence formulas is:A = −3, 5, −7, 9, −11, . ..C = 5, −5 4 , 5 16 , −5 64 , 5 256 ,...To get the formula for sequence A, we need to find the common difference between its terms first.
By subtracting each term from its subsequent term, we get:5 - (-3) = 85 - 5 = -107 - 9 = -1111 - (-11) = 22From the above results, we can observe that the common difference for sequence A is 2
. Thus, the formula for sequence A is given by:an = a1 + (n-1)dwhere an is the nth term of the sequence, a1 is the first term, and d is the common difference. In this case,a1 = -3andd = 2.
Substituting these values in the formula gives:an = -3 + (n-1)2Simplifying the above equation, we get:an = 2n - 5To get the formula for sequence C, we need to observe that the common ratio between its terms is -5/4.
Thus, the formula for sequence C is given by:an = a1 * r^(n-1)where an is the nth term of the sequence, a1 is the first term, and r is the common ratio. In this case,a1 = 5andr = -5/4.
Substituting these values in the formula gives:an = 5 * (-5/4)^(n-1)Simplifying the above equation, we get:an = (-5/4)^(n-1) * 5The above formula is valid for all values of n > 0.
The sequence formula for sequence A is given by:an = 2n - 5.The sequence formula for sequence C is given by:an = (-5/4)^(n-1) * 5.
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Jace buys 12 bottles of orange juice at the corner store for a total cost of $8.04. If each bottle costs the same amount, how much is each bottle of juice?
$0.67 for each bottle of juice
Find the divergence of F=xexyi+y2zj+ze2xyzk at (−1,2,−2).
The divergence of the vector field F at the point (-1, 2, -2) is -16.
The divergence of a vector field measures the rate at which the vector field spreads out or converges at a given point. It is calculated using the divergence operator, which involves taking the dot product of the gradient operator (∇) and the vector field F.
Let's calculate the divergence of F = (xexyi + y^2zj + ze^2xyzk) at the given point (-1, 2, -2). The divergence (div) can be expressed as:
div(F) = ∇ · Fdiv(F)
Lets taking the dot product, we get:
div(F) = (∂/∂x)(xexyi) + (∂/∂y)(y^2z) + (∂/∂z)(ze^2xyz)
To calculate the partial derivatives, we differentiate each term of F with respect to x, y, and z:
∂/∂x (xexyi) = exy + xexy
∂/∂y (y^2z) = 2yz
∂/∂z (ze^2xyz) = e^2xyz + ze^2xy
Substituting these partial derivatives into the divergence formula, we have:
div(F) = (exy + xexy) + 2yz + (e^2xyz + ze^2xy)
At (-1, 2, -2), substituting the values, we get:
div(F) = (-e^2 + 2e^2 - 4e^2) + (4 - 4 + 4) + (4e^2 + 4e^2)
Simplifying further:
div(F) = -3e^2 + 4 + 8e^2
div(F) = 5e^2 + 4
Since we are evaluating at (-1, 2, -2), substituting e^2 = exp(1)^2 = e^2 into the expression, we get:
div(F) = 5e^2 + 4 = 5e^2 + 4 ≈ 24.56
Therefore, the divergence of F at the point (-1, 2, -2) is approximately -16.
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what is the approximate length of the base of the triangle ? round to the nearest tenth if needed.
The approximate length of the base of the triangle is 5 units.
Given that, the area of a hexagon is about 65 square units. You decompose the figure into 6 triangles.
A regular hexagon can be decomposed into 6 equal triangles,
So, the area of each triangle is 65/6 = 10.8 square units
The height of one triangle is about 4.3 units.
We know that, the area of a triangle is 1/2 ×Base×Hieght
Now, 10.8=1/2 ×Base×4.3
21.6=Base×4.3
Base=21.6/4.3
Base=5.02
Therefore, the approximate length of the base of the triangle is 5 units.
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What is the equation to the line that goes through the point
(-3, 4) and is perpendicular to the line
y=-x+1
Step-by-step explanation:
perpendicular slope is negative reciprocal. -1/-1 = 1
y - 4 = x +3
y = x + 7
The equation �=112�y=1\frac{1}{2}xy=1
2
1
x represents the number of cups of dried fruit, y, needed to make x pounds of granola. Determine whether each point would be on the graph of this proportional relationship.
Choose Yes or No for each point.
The coordinates (2,1) will be on graph but (1,3) is not on graph.
What is a coordinate?
A coordinate is a set of two or more numbers or variables that identify the position of a point, line, or plane in a space of a given dimension. Coordinates are used to pinpoint a particular location, such as a specific point on a map or a specific point in a mathematical equation.
This means that for every 1.5 cups of dried fruit, there is 1 pound of granola. The graph of this proportional relationship would be a line that goes through the origin and has a slope of 1.5. For the point (2,1), the x-coordinate (2) is exactly 1.5 times the y-coordinate (1). This means that if you used 2 cups of dried fruit, you would get 1 pound of granola. Therefore, this point would be on the graph of the proportional relationship, so the answer is Yes. However, for the point (1,3), the x-coordinate (1) is not 1.5 times the y-coordinate (3). This means that if you used 1 cup of dried fruit, you would not get 3 pounds of granola.
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-12 = 3x + 3 please answer asap
Answer:
x = -5
Step-by-step explanation:
\( - 12 = 3x + 3\)
\( - 15 = 3x\)
\(x = - 5\)
Answer:
The answer is x= −5
Step-by-step explanation:
One kind of hard candy sells for $.89 per kilogram another sells for $1.10 per kilogram how many kilograms of each kind a need to be used for 30 kg of a mixture to sell for $.96 per kilogram
Answer:
20kg of $0.89 candy
10kg of $1.10 candy
Step-by-step explanation:
Candy 1 = 0.89 per kg
Candy 2 = 1.10 per kg
Total kilogram, kg = 30
Let candy 1 = x ; candy 2 = (30 - x) ;
0.89x + 1.10(30 - x) = 0.96(30)
0.89x + 33 - 1.10x = 28.8
0.89x - 1.10x = 28.8 - 33
-0.21x = - 4.2
x = 4.2 / 0.21
x = 20
20kg of $0.89 candy
(30 - x) = (30 - 20) = 10kg
10kg of $1.10 candy
Please helpppp 90 POINTS
Answer:
2nd option; y = 1/5x + 12/5
Step-by-step explanation:
Take a look at the attached file for the explanation.
Step-by-step explanation:
answer is 1/7 and 6/8 = 55/76
Translate the sentence into an equation.
Seven less than the product of 2 and a number is 4.
Use the variable c for the unknown number.
Answer
2x - 7 = 4
Step-by-step explanation:
Answer:
2x-7=4
Step-by-step explanation:
seven less is a number minus 7 so __ - 7
a product of a number and 2 is multiplication so 2 * x or 2x therefore 2x-7
is 4 means equals 4 so 2x-7=4
voila
The radius of a cylinder water tank is 6 Ft and it’s height is 11 ft what is the volume of the tank.
Answer:
1243 ft³
Step-by-step explanation:
Given the volume formula for a cylinder:
\(V=\pi r^{2} h\)
and we know that the radius is 6 and the height is 11, we can substitute:
\(V=\pi 6^{2} 11\)
square 6
V=π36(11)
use 3.14 for pi and multiply everything together
V=3.14(36)(11)
simplify
V=1243.44
1243.44 rounded to the nearest whole number is 1,243 ft³.
Hope this helps! :)
John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs to maintain a ratio of pumpkin to green beans of 5 to 2. If he wants to use a total of 126 cans, how many cans of green beans should he use?
please help me lol
Answer:
90 pumpkin and 36 green beans
Step-by-step explanation:
Because there is a total of 7 parts (5+2) and I divided 126 by 7 and then put five of the 18ns (the quotient of 126 and 7) for pumpkins (so... multiply 18 by 5) then the other to times 18 is 36. And if you add them together, they equal 126.
Answer:
9 cans
Step-by-step explanation:
126/7=18
18/2=9
so 9 is the answer
(plz mark brainlyist)
What proportion of a normal distribution is located between each
of the following z-scores?
z = -1. 64 and z = +1. 64
z = -1. 96 and z = +1. 96
z = -1. 00 and z = +1. 0
The proportion of a normal distribution that is located between two z-scores can be calculated using a standard normal distribution table or a calculator with a normal distribution function.
For the given z-scores:
z = -1.64 and z = +1.64:
The area under the normal distribution curve between these two z-scores is the same as the area between z = 0 and z = +1.64 minus the area between z = 0 and z = -1.64. From a standard normal distribution table, the area between z = 0 and z = +1.64 is 0.4505, and the area between z = 0 and z = -1.64 is also 0.4505. Therefore, the area between z = -1.64 and z = +1.64 is:
0.4505 - 0.4505 = 0
So, there is no area between z = -1.64 and z = +1.64.
z = -1.96 and z = +1.96:
Using the same approach as above, the area under the normal distribution curve between these two z-scores is:
0.4750 - 0.4750 = 0
So, there is no area between z = -1.96 and z = +1.96.
z = -1.00 and z = +1.00:
Again, using the same approach, the area under the normal distribution curve between these two z-scores is:
0.3413 - 0.3413 = 0
So, there is no area between z = -1.00 and z = +1.00.
Therefore, for all three cases, the proportion of a normal distribution that is located between the given z-scores is 0.
At the local farmer’s market it costs $6.00 for a 4-pound basket of pears. What is the price per pound?
Answer:
$1.50 per pound
Step-by-step explanation:
You divide 6 by 4 to get 1.5
What is the center point of a data set when all of the values are listed in order?.
The center point of an ordered data set is the: mean.
What is the Mean of a Data Set?The mean of any data set is the middle or center data point of the data set when the data set is ordered in increasing or descending order.
For example, the center point of the data set, 4, 6, 7, 8, 9 is 7. 7 is the mean of the data set.
Therefore, the center point is the mean.
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A racecar driver holds the record for the fastest speed of 212.809 miles per hour.
Part A
What is 212.809 rounded to the nearest hundredth? Enter your answer in the box.
Part B
Which explains how you round 212.809 to the nearest hundredth?
A.
Since the digit in the hundredths place is less than 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.
B.
Since the digit in the hundredths place is less than 5, keep the digit in the tenths place. Then drop the digit in the hundredths and thousandths places.
C.
Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
D.
Since the digit in the thousandths place is greater than or equal to 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.
Answer: 212.81
C. Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place
Step-by-step explanation:
What is 212.809 rounded to the nearest hundredth?
When we want to round off 212.809 to the nearest hundredth, the main thing that we will need to consider is for us to look at the thousandths value that is contained in the number of 212.809, and this is is 9.
Since 9 is more than 5, iteams that we will have to add 1 to the number at the hundredth place. This.meane we will add 1 to 0 which will give us 1 and we them drop the digit in the thousandths place. Therefore,
212.809 = 212.81 to nearest hundredths
If g is a function that represents the remaining height of a 20 inch candle as a function of the number of hours, t, the candle has been buming at a constant rate of 3.2 inches per hour. a. Use function notation to represent each of the following: i. the height of the candle when it has been burning for 4.2 hours Preview ii. the number of inches the candle burned during the time period from 2.1 hours to 4.6 hours since it was lit Preview iii. the height of the candle is 14 inches 91421 9-14 Preview 20-321 13.6/12 iv. the rule (algebraic expression) that defines how each value of the independent quantity corresponds with or is paired with the dependent quantity's value Preview v. how many times as long is the candle when it has been burning for 2 hours as compared to when it has been burning for 4 hours Preview vi. the height of the candle measured in foet (units of 12 inches) instead of inches Preview b. Use interval notation to represent each of the following: the range of y, the values that the candle's height, s(t), can assume is: 10,00) ii. the domain of y, the values that t can assume is Preview Preview c. Use function notation to represent the rate of change of the candle's height with respect tot, as the amount of time since the candle started burning increases from 18 hours to 5.6 hours, then state the numeric value of this rate of change. i. The rate of change of height with respect to time as increases from 18 to 5.6 hours is: Powe 89 Preview iii. the height of the candle is 14 inches g(t)=14 Preview iv. the rule (algebraic expression) that defines how each value of the independent quantity corresponds with or is paired with the dependent quantity's value Preview 20-3.20 v. how many times as long is the candle when it has been burning for 2 hours as compared to when it has been burning for 4 hours 13.6/7.2 Preview vi the height of the candle measured in feet (units of 12 inches) instead of inches # Preview 120 b. Use interval notation to represent each of the following: i. the range of g, the values that the candle's height, g(t), can assume is: 10,00) Preview ii. the domain of g, the values that t can assume is: Preview c. Use function notation to represent the rate of change of the candle's height with respect to t, as the amount of time since the candle starte burning increases from 1.8 hours to 5.6 hours, then state the numeric value of this rate of change. i. The rate of change of height with respect to time as t increases from 1.8 to 5.6 hours is: inches per hour .
The rate of change of the height of the candle remains constant at -3.2 inches per hour throughout the burning process.
a. i. g(4.2) = 20 - 3.2(4.2) = 6.96 inches
ii. g(4.6) - g(2.1) = (20 - 3.2(4.6)) - (20 - 3.2(2.1)) = 2.94 inches
iii. g(t) = 14 has no real solution since the candle will be completely burned out before reaching 14 inches.
iv. g(t) = 20 - 3.2t
v. The candle is 2/4 or 1/2 times as long (height) after 2 hours compared to 4 hours.
vi. To measure the height of the candle in feet instead of inches, we divide g(t) by 12: h(t) = g(t)/12.
b. i. The range of g(t) is (0, 20].
ii. The domain of g(t) is [0, ∞).
c. The rate of change of the candle's height with respect to time is given by the derivative of g(t):
g'(t) = -3.2 inches per hour
The rate of change from 18 to 5.6 hours is:
g'(5.6) - g'(18) = (-3.2) - (-3.2) = 0 inches per hour
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How do you solve 3(x−5)=12?
Answer:
9
Step-by-step explanation:
3(x-5)=12
Use distributive property on with the 3 and parenthesis (3 times x and 3 times -5)
3x-15=12
Add fifteen to both sides (15 on the left side cancels out)
3x=27
Divide both sides by 3 (3 on the left side cancels out)
x=9
(3 3/4)÷(−2 1/2)
IM IN A TIME CRUNCH PLEZZZ HALPPPP
Answer:
-1.5
Step-by-step explanation:
Please help, question down below.
Answer:
I'm not to sure but I think the answer is ...
B. 180
Step-by-step explanation:
The largest angle of a triangle, whose sides are 12, 18 and 20 inches, is bisected. Find the
lengths of the segments created when the angle bisector intersects the opposite side of the
triangle.
Applying the angle bisector theorem, the lengths of the segments are: 8 inches and 12 inches.
What is the Angle Bisector Theorem?The angle bisector theorem states that the angle bisector of a triangle will divide the a side, such that their lengths will be proportional the the other two sides of the triangle.
The triangle is shown in the diagram attached below. The angle bisected is opposite the side measuring 20 inches.
According to the angle bisector theorem, therefore:
AB/AC = x/y
Substitute
12/18 = BD/DC
2/3 = BD/DC
This implies that:
2x + 3x = 20
5x = 20
x = 4
Therefore:
BD = 2x
Plug in the value of x
BD = 2 × 4 = 8 inches
Dc = 3x = 3 × 4 = 12 inches.
Therefore, applying the angle bisector theorem, the lengths of the segments are: 8 inches and 12 inches.
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The linear function F is defined as f(x) = -2x + 3. Consider the graph of y = f(x) in the xy-Plane.
If the function g(x) = f (x) + k, where k = 2, describe the changes to the slope and y-intercept of this transformation.
The changes to the slope and to the intercept of the linear function after the transformation g(x) = f(x) + k, in which k = 2, are given as follows:
The slope remains constant.The intercept is increased by two.What is the definition of a linear function?The slope-intercept definition of a linear function is presented as follows:
y = mx + b.
In which the coefficients are given as follows:
m is the slope.b is the y-intercept.The function f(x) in this problem is given as follows:
f(x) = -2x + 3.
Meaning that it has a slope of -2 and and intercept of 3.
The function g(x) is defined as follows:
g(x) = f(x) + k.
Since k = 2, we have that:
g(x) = f(x) + 2
g(x) = -2x + 3 + 2
g(x) = -2x + 5.
Hence the slope and the intercept are given as follows:
Slope of -2, which is the same as f(x).Intercept of 5, which is an increase of 2 compared to the intercept of f(x).More can be learned about linear functions at https://brainly.com/question/24808124
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Using the CPT manual, code the following: Five MeV of radiation treatment delivery to a single area for primary breast cancer, right female breast
According to the CPT manual, the appropriate code for the treatment for primary breast cancer, would be 77427.
In medical coding, it is important to assign the correct CPT code to accurately describe the provided medical service. For the described scenario of delivering five MeV of radiation treatment to a single area for primary breast cancer, the appropriate code is 77427. This code specifically represents the radiation treatment delivery for breast cancer.
The CPT manual is a widely used resource that provides a comprehensive list of medical procedures and services, each assigned a specific code. These codes help healthcare providers communicate and document the services rendered to patients, as well as facilitate accurate billing and reimbursement. The codes in the CPT manual are regularly updated to reflect advancements in medical technology and practices.
By referencing the CPT manual, healthcare professionals can ensure that the services they provide are accurately coded, allowing for consistent and standardized communication across the healthcare industry. This helps in maintaining proper documentation, tracking patient care, and facilitating efficient billing processes.
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The CPT manual provides specific codes for radiation treatment delivery, including those for breast cancer. The appropriate code for the given treatment would depend on the specific technique used and can be found in the CPT manual.
In order to code the radiation treatment delivery for primary breast cancer, right female breast, we need to refer to the CPT manual. The CPT manual provides specific codes for different types of radiation treatment delivery. In this case, the treatment involves the delivery of Five MeV of radiation to a single area.
Based on the information provided, the appropriate CPT code for this treatment would be determined by the specific technique used for radiation delivery. The CPT manual provides codes for different techniques, such as external beam radiation therapy (EBRT) and brachytherapy.
Since the question does not specify the technique, we cannot provide a specific CPT code. However, a healthcare professional would consult the CPT manual and select the appropriate code based on the specific details of the treatment.
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Please help me. I will fail...I will mark you brainiest.
The function \(f(x)=15(0.85)^x\)models the height, in feet, of a bouncing ball after x seconds.
What is the initial height of the bouncing ball?
What is the percent rate of change?
What is the height of the bouncing ball after 5 seconds? Express your answers as a decimal rounded to the nearest hundredth.
Answer:
1) 17.6 2) 1760% 3) 12.6
Step-by-step explanation:
give me brainlist
The initial height of the bouncing ball is 15 feet, The percent rate of change is -15% and after 5 s, the height of the ball is 6.66 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the function:
f(x) = 15(0.85)ˣ
a) The initial height of the bouncing ball is 15 feet
b) The percent rate of change = 0.85 - 1 = -0.15 = -15%
c) After 5 s, x = 5:
f(5) = 15(0.85)⁵ = 6.66 feet
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Factorise 45p² -125q²
Answer:
5(3p + 5q)(3p - 5q)
Step-by-step explanation:
\(45 {p}^{2} - 125 {q}^{2} \\ \\ = 5(9 {p}^{2} - 25 {q}^{2} ) \\ \\ = 5 \{ {(3p)}^{2} - {(5q)}^{2} \} \\ \\ = 5(3p + 5q)(3p - 5q)\)
Answer:
yea i think you got it
Step-by-step explanation:
please help.............
Answer:
The answer is 4
Answer:
image 1
Step-by-step explanation:
because pointing down is then 180 and taking another 90 degrees and go in counterclockwise direction
A random survey of quality of city parks is taken. Seventy-five percent of the people surveyed were pleased with the condition of the parks. If 180 people were please, the how many people were surveyed. (Hint: You can use a % bar or % proportion to solve)
Answer:
Number of people surveyed is 240 people
Step-by-step explanation:
We are told that Seventy-five percent of the people surveyed were pleased with the condition of the parks.
Now, if the number of people surveyed is represented by y, then number of people that were pleased with the condition of the parks = 75%y
This can be written as: 75y/100
Now, we are 180 people were pleased.
This means that;
75y/100 = 180
Let's multiply both sides by 100 to get;
(75y/100) × 100 = 180 × 100
This gives;. 75y = 18000
Divide both sides by 75 to get;
75y/75 = 18000/75
y = 240
Number of people surveyed is 240 people
On Wednesday, Simran walked from home to the train station. On Thursday, Simran took the bus from home to the train station. The distance-time graphs show Simran's journey on Wednesday and Thursday. How many minutes less was her total journey time on Thursday than on Wednesday?
Her journey was = 40-6 = 34 minutes less on Thursday than on Wednesday
What is distance time graph?If an object moves along a straight line, the distance travelled can be represented by a distance-time graph.
On Wednesday time taken= 40 minutes
On Thursday, time taken= 6 minutes
Her journey was = 40-6 = 34 minutes less on Thursday than on Wednesday.
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