Using the Fundamental principles of counting,
total 1680 , strings of length 4 can be formed using the letters "computer" if repetitions are not allowed.
There are many ways to fill the four empty spaces with a four letter code. You must enter 8 letters of the word "computer".
So , total number of characters = 8
4 blanks must be padded with 8 letters and repeated characters are not allowed.
The first digit can be filled in 8 different ways with each of the 8 characters. Now, we can fill the second digit with the remaining seven characters in 7 ways. The third place can be filled with one of the remaining six characters in 6 different ways, and the fourth place with one of the remaining five characters in 5 different ways.
So, Using the principle of multiplication, there are as many possibilities as we need and how they can occupy 4 free places = 8 x 7 x 6 x 5 = 1680
So , 1680 strings of 4 characters from eight characters word "Computer" and character codes are not repeated.
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Callie drew the map below to show her
neighborhood.
School
y
654321
-6-5-4-3-2-10
346
Grocery--4
Store -5
Library
Park
1 2 3 4 5 6
Hospital.
Fire
Station
X
If each unit in the coordinate plane
represents 1.5 miles, how many miles.
is it from the school to the grocery store?
Based on the information, it is 3 miles from the school to the grocery store.
How to calculate tie distanceLooking at the map, we can see that the school is located at (-4, 5) and the grocery store is located at (-5, 4). The horizontal distance between them is 1 unit, and the vertical distance is also 1 unit.
Therefore, the total distance between the school and the grocery store is:
Distance = (horizontal distance) x (distance per unit) + (vertical distance) x (distance per unit)
Distance = 1 x 1.5 miles + 1 x 1.5 miles
Distance = 3 miles
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What is the symbol for a square root
Answer:
The symbol for a square root is \(\sqrt{}\).
:)
Answer:
√
Step-by-step explanation:
Math=Explanitory
Kelvin's math average is 75 and he wants to increase it to 89. He decides
that a 12% increase will allow him to reach his goal. Is he correct? Why or
why not?
Answer:
incorrect its actually 14%
Step-by-step explanation:
if quadrilateral ABCD ~ quadrilateral PQRS, find BC
Answer:
i do believe it is 18.2
Step-by-step explanation:
cross multiply 10/6.5 28/x
Kate has a Major Medical Plan with a 75/25 coinsurance and a deductible of $25. How much will she have to pay if she, not having met any of her deductible, visits the doctor and receives a bill for $125?
Kate will have to pay $56.25 out of pocket for her doctor visit.
The formula for calculating coinsurance is Coinsurance = (Cost of Service x Coinsurance Percent) / 100.If Kate has not met her deductible yet, she will need to pay the full $25 deductible plus 25% of the remaining bill.
The formula for calculating the amount Kate needs to pay is as follows:
Cost to Patient (C) = Deductible (D) + Coinsurance (C) * (Bill – Deductible) In this case, Kate would need to pay (125 x 25) / 100 = $31.25. The extra $25 is the deductible, which is the amount she must pay before her insurance kicks in.This amount is due immediately upon the visit, regardless of whether or not she has met her deductible So in total, Kate would have to pay $25 + $31.25 = $56.25. In summary, Kate will have to pay $56.25 out of pocket for her doctor visit.
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PLEASE HELP ME I REALLY NEED HELP
Answer:
no
Step-by-step explanation:
We expect you're supposed to answer, NO. This is because an angle and two sides are specified, where the angle is not between the two sides. There is no SSA theorem for congruence, so this specification is generally considered to be insufficient.
_____
Additional comment
The given information is enough to completely specify the given triangle. The reason this is true is that the given angle is opposite the longest of the given sides. A general SSA theorem cannot guarantee that will be the case, so there is no general SSA congruence theorem.
Provided that you have corresponding side and angle information for the other triangle, congruence can be determined (yes). A single triangle by itself cannot be shown congruent to anything.
y = −x + 4
y = 3x + 3
does the data give evidence of an association between scoring at least 21 points and the football team winning the game? there is a strong, negative association. there is a strong, positive association. there is a weak, negative association. there is a weak, positive association.
Considering the relative frequencies in this problem, the association between scoring 21 points and winning the game is as follows:
There is a strong, positive association.
What is a relative frequency?The relative frequency of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.
From the table given at the end of the answer, we have that when the team scored at least 21 points, an interval composed of 28 games, the team won 25 games and lost only 3, hence the relative frequency of wins when the team scores at least 21 points is of:
25/28 = 0.8929 = 89.29%.
Due to this high frequency of wins, there is a strong and positive association between scoring 21 points and winning the game
What is the missing information?The table with the team's results is given by the image at the end of the answer.
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Help me please so i can get points real quick!!
Find the distance between (7,1) and (-3,-4)
Answer:
5
step explanation:
Use the distance formula to determine the distance between the two points.
Distance=√(x2−x1)2+(y2−y1)2
Substitute the actual values of the points into the distance formula.
√(1−(−3))2+(7−4)2
Simplify
5
A box is to be made out of a 10 cm by 20 cm piece of cardboard. Squares of side length cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. (a) Express the volume V of the box as a function of x. V = cm^3 (b) Give the domain of V in interval notation. (Use the fact that length and volume must be positive.) = ? (c) Find the length L , width W, and height H of the resulting box that maximizes the volume. (Assume that W < or = to L ) L= ?cm W= ?cm H= ? cm (d) The maximum volume of the box is ? cm^3.
(a) The volume V of the box as a function of x is V = 4x^3-60x^2+200x
(b) The domain of V in interval notation is 0<x<5,
(c) The length L , width W, and height H of the resulting box that maximizes the volume is H = 2.113, W = 5.773, L= 15.773
(d) The maximum volume of the box is 192.421 cm^2.
In the given question,
A box is to be made out of a 10 cm by 20 cm piece of cardboard. Squares of side length cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top.
(a) We have to express the volume V of the box as a function of x.
If we cut out the squares, we'll have a length and width of 10-2x, 20-2x respectively and height of x.
So V = x(10-2x) (20-2x)
V = x(10(20-2x)-2x(20-2x))
V = x(200-20x-40x+4x^2)
V = x ( 200 - 60 x + 4x^2)
V = 4x^3-60x^2+200x
(b) Now we have to give the domain of V in interval notation.
Since the lengths must all be positive,
10-2x > 0 ≥ x < 5 and x> 0
So 0 < x < 5
(c) Now we have to find the length L , width W, and height H of the resulting box that maximizes the volume.
We take the derivative of V:
V'(x) = 12x^2-120x+200
Taking V'(x)=0
0 = 4 (3x^2-30x+50)
3x^2-30x+50=0
Now using the quadratic formula:
x=\(\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)
From the equationl a=3, b=-30, c=50
Putting the value
x=\(\frac{30\pm\sqrt{(-30)^2-4\times3\times50}}{2\times3}\)
x= \(\frac{30\pm\sqrt{900-600}}{6}\)
x= \(\frac{30\pm\sqrt{300}}{6}\)
x= \(\frac{30\pm17.321}{6}\)
Since x<5,
So x= \(\frac{30-17.321}{6}\)
x= 2.113
So H = 2.113, W = 5.773, L= 15.773.
d) Now we have to find the maximum volume of the box.
V = HWL
V= 2.113*5.773*15.773
V = 192.421 cm^3
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On a time limit answer asap pls
Answer:
160°
Step-by-step explanation:
Take notice that m∠1 and m∠2 are supplementary angles, meaning their angle measures will add up to 180°.
Since we know m∠2, we can find m∠1 easily.
180-20=160°
Hope this helped!
Vince borrows $900 to buy a couch. He will pay off the loan by paying 1.5% simple interest for 2 years. Vince incorrectly calculates the amount he will pay back using the expression below. 900 + 900(1.015 • 2) What is the correct amount Vince will pay back altogether? Explain the error in Vince's expression. A. 00:00 $903; Vince should have subtracted the first 900 from the amount he will pay. B. 00:00 $913.50; Vince multiplied by the wrong number of years. C. 00:00 $927; Vince wrote the wrong number to represent the interest rate. D. 00:00 $1,813.50; Vince forgot to add the initial $900 to the amount he will pay.
Answer: C. 00:00 $927; Vince wrote the wrong number to represent the interest rate.
Step-by-step explanation:
Given that:
Amount borrowed (p) = 900
Simple interest (r) = 1.5% = 0.015
Time (t) = 2 years
Amount he'll pay back (A) :
A = P(1 + rt)
A = 900(1 + 0.015(2))
A = 900(1 + 0.03)
A = 900(1.03)
A = $927
what is the formula for elimintation
Answer:
The elimination method for solving systems of linear equations uses the addition property of equality. You can add the same value to each side of an equation. So if you have a system: x – 6 = −6 and x + y = 8, you can add x + y to the left side of the first equation and add 8 to the right side of the equation.
Answer:
You can add the same value to each side of an equation. So if you have a system: x – 6 = −6 and x + y = 8, you can add x + y to the left side of the first equation and add 8 to the right side of the equation.
Step-by-step explanation:
what is the smallest positive integer a such that the intermediate value theorem guarantees a zero exists between 0 and a?
The smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.
What is the intermediate value theorem?
Intermediate value theorem is theorem about all possible y-value in between two known y-value.
x-intercepts
-x^2 + x + 2 = 0
x^2 - x - 2 = 0
(x + 1)(x - 2) = 0
x = -1, x = 2
y intercepts
f(0) = -x^2 + x + 2
f(0) = -0^2 + 0 + 2
f(0) = 2
(Graph attached)
From the graph we know the smallest positive integer value that the intermediate value theorem guarantees a zero exists between 0 and a is 3
For proof, the zero exists when x = 2 and f(3) = -4 < 0 and f(0) = 2 > 0.
Your question is not complete, but most probably your full questions was
Given the polynomial f(x)=− x 2 +x+2 , what is the smallest positive integer a such that the Intermediate Value Theorem guarantees a zero exists between 0 and a ?
Thus, the smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.
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Jorge walked 2 1/2
miles on Monday. He walked 3 1/2 miles on Tuesday.
How many miles did Jorge walk all together in the two days?k
Answer:
6
Step-by-step explanation:
2 1/2 + 3 1/2
= (2 + 3) + (1/2 + 1/2)
= 5 + 1
= 6
1.draw a scatter plot that shows a positive, linear association and has one clear outlier. Circle the outlier
2.Draw a scatter plot that shows a negative association that is not linear.
PLS HURRY WILL GIVE BRAINLEST
Step-by-step explanation:
Here is the correct answer.See the pic
Ps:Can I be the brainliest.Thx
The grouping of data or sample points is a component of the machine learning process known as clustering.
What is Clustering?The task of arranging a set of objects into an identical group in a way that makes them more similar to one another than those found in different groups is known as cluster analysis or clustering.
here, we have,
A scatter plot is an unique type of plot or mathematical diagram that displays data for usually 2 parameters for a collection of data. It uses Cartesian coordinates.
Coordinates, it is a set or group of values that show an exact or accurate position.
Hence, The grouping of data or sample points is a component of the machine learning process known as clustering.
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The assembly consists of two 10mm diameter rods a-b and c-d, a 20 mm diameter rod e-f and a rigid bar h; point g is located at mid-distance between points e and f. all rods are made of copper with e = 101 gpa. if the magnitude of one force p is 10 kn, determine reactions at points a, c, and f.
Reactions at points A, C, and F are as follows: RA = -RC, RAy = RCy, and RF = 10 kN.
To determine reactions at points A, C, and F for the assembly consisting of two 10mm diameter rods (A-B and C-D), a 20mm diameter rod (E-F), and a rigid bar (H), with point G located midway between points E and F, and a force of 10 kN applied:
First, calculate the cross-sectional areas of the rods:
A1 = π(10mm)² / 4 = 78.54 mm² (for rods A-B and C-D)
A2 = π(20mm)² / 4 = 314.16 mm² (for rod E-F)
Next, calculate the effective modulus of elasticity for each rod:
E1 = E2 = 101 GPa
Now, use equilibrium equations to determine reactions at points A, C, and F:
ΣFx = 0: RAx + RCx = 0
ΣFy = 0: RAy + RCy + RF = -10 kN
ΣMG = 0: (RAy)(L/2) - (RCy)(L/2) = 0
Solving the equilibrium equations, we get:
RAx = -RCx
RAy = RCy
RF = 10 kN
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At an ice carving competition, each carver starts with a block of ice with the dimensions shown. The block is wrapped in a special reflective material to keep it from melting before the competition starts. 1.1 0.8 1.3
Complete question :
At an ice carving competition, each carver starts with a block of ice with the dimensions shown. The block is wrapped in a special reflective material to keep it from melting before the competition starts. The side lengths of the block are 1.1, 0.8, 1.3. How much reflective material is needed to cover the block completely, without any overlaps?
Answer:
6.7 unit^2
Step-by-step explanation:
Taking the dimension of the ice block as :
1.1 by 0.8 by 1.3
The total reflective material which will used to cover the ice block must have the same surface area as the ice block.
Shape of ice block = rectangular prism.
Taking the surface area if a rectangular prism :
Using the relation :
2(lw * lh * wh)
Where l = Length = 1.1
Width w = 0.8
Height h = 1.3
Therefore,
2[(1.1*0.8) + (1.1*1.3) + (0.8*1.3)]
2[(0.88) + (1.43) + (1.04)]
2(3.35)
= 6.7 unit^2
Reflective material should be 6.7 unit^2
The total reflective material required is 6.7 square units
What is a surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called as the surface area.
Given that:-
The dimensions of the ice cube are 1.1 by 0.8 by 1.3The total reflective material which will be used to cover the ice block must have the same surface area as the ice block.
The shape of the ice block = is a rectangular prism.
Taking the surface area of a rectangular prism by using the relation :
SA = 2( lw x lh x wh )
Where l = Length = 1.1
Width w = 0.8
Height h = 1.3
Therefore,
SA = 2 [(1.1 x 0.8) + (1.1 x 1.3) + (0.8 x 1.3)]
SA = 2 [ (0.88) + ( 1.43 ) + ( 1.04 ) ]
SA = 2 ( 3.35 )
SA = 6.7 square units
Therefore the Reflective material should be 6.7 square units
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If a chicken weight is 3 3/4 pounds, how many ounces those it has?
Answer:
60 ounces
Step-by-step explanation:
Answer:
i belive its 60
Step-by-step explanation:
1 pound = 16 ounces
3/4 pound = 12 ounces
3 3/4 x 16 = 60
PLEASE HELP ME!
How many feet would you walk if you walked 25 laps around the rug? Use 3.14 for pi. Enter only the numerical part of your answer.
Answer:
43.96
Step-by-step explanation:
First, find the diameter.
Double the radius for the diameter ( 7 + 7 = 14)
14 ft (D) . pi x diameter = circumference
3.14 x 14 = 43.96 ft
༒Question༒
REFER TO ATTACHMENT
NONSENSE ANSWER WILL GET REPORT
Ur answer sir :)
1) 6⁴
2) t²
3) b⁴
4) 5²× 7³
5) 2²× a²
6)a³× c⁴× d
I HOPE IT IS HELPFULsolve the problem and then click on the correct answer choice. jane must select 3 different items for each dinner she will serve. the items are to be chosen from among 5 different vegetarian and 4 different meat selections. if at least one of the selections must be vegetarian, how many different dinners can jane create?
Jane can select 80 different types of dinner consisting of 3 different items from 5 different vegetarian items and 4 different meat items available.
For finding the various combination of dinners available which has atleast one vegetarian item we will apply combination formula with the given data i.e., \(^{n} C_{r} = \frac{n!}{(n-r)!.r!}\)
A combination is a way of selecting items from a collection where the order of selection does not matter.
We will have to apply the formula separately for vegetarian and meat items.
Combinations available
A. 1 vegetarian item and 2 meat items
\(^{5} C_{1} and ^{4} C_{2}\) (In combination "and" means to multiply)
= \(\frac{5!}{(5-1)!.1!} . \frac{4!}{(4-2)!.2!}\)
= \(\frac{5!}{(4)!.1!} . \frac{4!}{(2)!.2!}\)
= \(\frac{5.4.3.2.1}{(4.3.2.1).(1)}. \frac{4.3.2.1}{(2.1).(2.1)}\)
= 5.3.2
= 5.6
= 30
B. 2 vegetarian items and 1 meat item
\(^{5} C_{2} and ^{4} C_{1}\)
= \(\frac{5!}{(5-2)!.2!} . \frac{4!}{(4-1)!.1!}\)
= \(\frac{5!}{(3)!.2!} . \frac{4!}{(3)!.1!}\)
= \(\frac{5.4.3.2.1}{(3.2.1).(2.1)}. \frac{4.3.2.1}{(3.2.1).(1)}\)
= 5.2.4
= 10.4
= 40
C. 3 vegetarian items and no meat item
= \(^{5} C_{3} and ^{4} C_{0}\)
= \(\frac{5!}{(5-3)!.3!} . \frac{4!}{(4-0)!.0!}\)
= \(\frac{5.4.3.2.1}{(2.1).(3.2.1)}. 1\)
= 5.2
= 10
Now, we will add all the different combination
Total combinations = 30+40+10
= 80 different type of dinners
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HELPPP IT IS MATH AGIAN NOOO
Answer:
9 is 8 hours and 10 is 10 hours
Answer:
9. 8 Hours
10. 10 hours
Step-by-step explanation:
48 ÷ 4 = 12 The unit rate is 12 per hour
12x = 96 Divide both sides by 12
x = 8
54 ÷ 6 = 9 The unit rate is 9 per hour
9x = 90 Divide both sides by 9
x = 10
What is a function f of three variables?
The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D with three variables.
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
The functions of a point (or vector) in R2 or R3 that have real values will now be looked at. These functions will typically be defined on sets of points in R2, but there will be occasions when we utilise points in R3 and when it is more convenient to think of the points as vectors (or terminal points of vectors).
Each point f(x,y) in D is given a real number f(x,y) according to a real-valued function f defined on a subset D of R2. The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D, and the range of f is the greatest set D in R2 on which f is defined.
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john recently bought a used car for $\$5000$ for his pizza delivery job. he gets $\$10$ for each pizza he delivers, but he has to spend $\$3$ on gas for each pizza he delivers. what is the minimum whole number of pizzas john must deliver in order to earn back the money he spent on the car he bought?
The minimum number of pizzas that john must deliver to earn back the money he spent on the car he bought is 715 pizzas .
In the question,
it is given that ,
the amount for which John bought the used car for pizza delivery = $5000
the amount John gets for 1 pizza he delivers = $10
the amount John spend on gas for 1 pizza he delivers = $3
So , the amount that John earned for 1 pizza delivered is = 10 - 3 = $7 .
the number of pizza required to sell = (price of car)/(amount earned from 1 pizza)
Substituting the values , we get
number of pizza required to sell = 5000/7 = 714.2857
rounding the answer to whole number ,
we get
= 715 pizzas
Therefore , The minimum number of pizzas that John must deliver to earn back the money he spent on the car he bought is 715 pizzas .
The given question is incomplete , the complete question is
John recently bought a used car for $5000 for his pizza delivery job. he gets $10 for each pizza he delivers, but he has to spend $3 on gas for each pizza he delivers. what is the minimum whole number of pizzas john must deliver in order to earn back the money he spent on the car he bought ?
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WILL MARK BRAINLIEST FOR CORRECT ANSWER!!!!!!!!
Simplify the expression.
7(6x – 4) + 1
1. Distribute the 7 through the parentheses.
2. Combine like terms.
What is the expression in its simplest form?
A) 42x – 28 + 7
B) 42x – 3
C)42x – 28 + 1
D) 42x – 27
Answer:
D) 42x-27
Step-by-step explanation:
Distribute the 7
7*6x=42×
7*-4=-28
Combine like terms:
42x(Stays there)
-28+1=-27
42x-27
the distribution of scores on a recent test closely followed a normal distribution with a mean of 22 points and a standard deviation of 2 points. for this question, do not apply the standard deviation rule. (a) what proportion of the students scored at least 28 points on this test, rounded to five decimal places?
according to the question,
given question in the data,
a normal distribution with a mean of 22 points
a standard deviation of 2 points,
Z-score
The Z-score is used to determine the number of standard deviations the raw score is above or below the mean. It is given as:
z = (x - μ)/σ
where x is the raw value, σ is the standard deviation, and μ is the mean.
μ = 22, σ = 2
For x > 25:
z = (25 - 22)/2 = 1.5
P(z > 1.5) = 1 - P(z < 1.5) = 1 - 0.9332 = 0.0668
The 42nd percentile z-score is -0.2.
ven data in the question,
-0.2 = (x - 22)/2
x = 21.6
6.68% of students scored 25 or higher on this test
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The proportion of students scoring at least 28 points on this test is 6.68%
What do you mean by proportion?the ratio of the size, number, or quantity of one object or group to that of another. In our class, guys outnumber girls by a factor of three.
What is the mean proportion formula?The positive integer x, such that px=xq, is the geometric mean or mean ratio of two positive numbers, p, and q.
Considering the query,
given query in the information,
an average normal distribution of 22 points
a 2 point standard deviation,
Z-score
The Z-score is used to calculate how many standard deviations above or below the mean the raw score is. It is specified as:
z = (x - μ)/σ
where the mean is and the standard deviation and the raw value, x, is.
μ = 22, σ = 2
For x > 25:
z = (25 - 22)/2 = 1.5
P(z > 1.5) = 1 - P(z < 1.5) = 1 - 0.9332 = 0.0668
The z-score for the 42nd percentile is -0.2.
the information in the question,
-0.2 = (x - 22)/2
x = 21.6
On this test, 6.68 % of students received a 25 or better.
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Use the properties of logarithms to write the logarithm in terms of log7^(2) and log7^(5)
The given logarithm expression is:
\(log_750\)This can be re-written as:
\(\begin{gathered} \log_750=\log_7(2\times25) \\ \\ \log_750=\log_72\frac{}{}+\log_725 \\ \\ \log_750=\log_72+\log_75^2 \\ \\ \operatorname{\log}_750=\operatorname{\log}_72+2\operatorname{\log}_75 \end{gathered}\)The area of a rectangle is 8811m if the width of the garden is 89 m what’s the length
The length of the garden is 99 m.
What’s the length?The formula for the area of a rectangle is:
Area = Length x Width
We are given that the area of the rectangle is 8811 \(m^{2}\) and the width is 89 m. Substituting these values into the formula, we get:
8811 \(m^{2}\) = Length x 89 m
To solve for the length, we can divide both sides of the equation by 89 m:
Length = 8811 \(m^{2}\) / 89 m
Simplifying, we get:
Length = 99 m
Therefore, the length of the garden is 99 m.
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