-2(-3)+27÷(-3)+3?
Please help​

Total cost of racquet at Bob's Tennis Racquet Emporium is $192.60 with a 7% sales tax on the original price of $180.00. The price tag on a similar racquet at Tennis Pro, which offers a 10% discount, is $162.00 before tax.

To calculate the total cost of the tennis racquet at Bob's Tennis Racquet Emporium, we need to add the sales tax to the original price.

Sales tax = 7% of $180.00 = 0.07 x $180.00 = $12.60

Total cost = $180.00 + $12.60 = $192.60

Therefore, the total cost of the tennis racquet at Bob's Tennis Racquet Emporium is $192.60.

If Tennis Pro offers a before-tax price that is 10% less than Bob's store for a similar racquet, we can calculate the price tag as follows:

Price at Bob's store = $180.00

Discounted price at Tennis Pro = 10% less than $180.00 = 0.10 x $180.00 = $18.00 discount

Price at Tennis Pro = $180.00 - $18.00 = $162.00

Therefore, the price tag on the similar racquet at Tennis Pro is $162.00 before tax. The sales tax amount will depend on the applicable tax rate in the area where the store is located.

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Answer:

[tex]\huge\boxed{\sf y = \frac{9-4x}{6}}[/tex]

Step-by-step explanation:

9 = 4x + 6y

9 - 4x = 6y

[tex]\displaystyle \frac{9-4x}{6} = y\\\\OR\\\\y = \frac{9-4x}{6} \\\\\rule[225]{225}{2}[/tex]

Answer:

Step-by-step explanation:

Now we have to,

→ Find the required value of y.

The equation is,

→ 9 = 4x + 6y

Then the value of y will be,

→ 9 = 4x + 6y

→ 4x + 6y = 9

→ 6y = 9 - 4x

→ 6y = -4x + 9

→ y = (-4x + 9)/6

→ y = (-4x/6) + (9/6)

→ y = (-2x/3) + (3/2)

Hence, this is the answer.

The value 2,649 represents the estimated population of elephants in Northwestern Namibia and Etosha National Park in 1995 and the estimated population was 618.4.

The formula for population growth can be represented as:

P = P0ert

Here, P is the population of elephants, P0 is the initial population, e is the base of the natural logarithm, r is the rate of growth or decay, and t is the time in years.

Now, as per the given data, P = 2,649P0 = initial population r = 1.045 (as per the given expression)b = t - 1995 (as per the given formula)Now, putting these values in the population growth formula,

P = P0ert2,649 = P0e1.045(b-1995)Dividing by P0 on both sides, we get:e1.045(b-1995) = 2649/P0

Taking the natural logarithm on both sides,

ln e1.045(b-1995) = ln (2649/P0)

Applying the property of logarithm,1.045(b-1995) ln e = ln (2649/P0)1.045(b-1995) = ln (2649/P0)

vAs we need to find the value of P0, substitute the value of b = 0,1.045(0-1995) = ln (2649/P0)-1.045*1995 = ln (2649/P0)ln (2649/P0) = -2069.95

Taking anti-logarithm or exponentiation on both sides,2649/P0 = eln (2649/P0) = e^(-2069.95)2649/P0 = 4.29P0 = 2649/4.29P0 = 618.4

Therefore, the estimated population of elephants in Northwestern Namibia and Etosha National Park in 1995 was 618.4.


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The number of feet of fabric will the individual need to make 11 blankets is 79.2 feet

To find out how many feet of fabric the individual will need to make 11 blankets, we can use the unitary method.

We know that the individual used 7.2 feet of fabric to make one blanket. So, to find out how much fabric is needed to make 11 blankets, we can set up a proportion

7.2 feet of fabric is needed for 1 blanket

x feet of fabric is needed for 11 blankets

We can solve for x by cross-multiplying and then dividing

7.2 × 11 = x

x = 79.2 feet

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There is a 68.26% chance of a value falling between 3 and 7 in the given normal distribution.

This indicates a normal distribution, which is a type of continuous probability distribution. It is characterized by a bell-shaped curve that is symmetric about the mean, with a specific formula given by f(x) = [tex]1/(σ√2π)e^(-(x-μ)^2/2σ^2)[/tex]where μ is the mean, σ is the standard deviation, and x is the random variable.

In terms of calculation, we can use the formula to calculate the probability of a certain event occurring. For example, if we know the mean and standard deviation of a normal distribution, we can calculate the probability of a value between two given points. For example, if the mean is 5 and the standard deviation is 2, then the probability of a value between 3 and 7 is given by the integral of f(x) from 3 to 7, which is equal to 0.6826. This means that there is a 68.26% chance of a value falling between 3 and 7 in the given normal distribution.

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The other diagonal of the rhombus is 4 cm.

The other diagonal of the rhombus can be found using the formula for the area of a rhombus, which is A = (d₁ × d₂)/2, where d₁ and d₂ are the lengths of the diagonals.

We're given that the area of the rhombus is 20 cm² and that one diagonal (d1) is 10 cm. Plugging these values into the formula, we get:

20 = (10 × d₂)/2

Simplifying, we get:

20 = 5 d₂

Dividing both sides by 5, we get:

d₂ = 4

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(a) The ratio of sin A as a fraction is 63/65, cos A is 16/65 and the tan of angle A is 63/16.

(b) The ratio of sin B as a fraction is 16/65, cos B is 63/65 and the tan of angle B is 16/63.

The missing parts of the right triangle is calculated using the trigonometry principle as shown below.

For angle A:

opposite side = 63

adjacent side = 16

hypothenuse side = 65

sin A = opp/hypo = 63 / 65

cos A = adj/hypo = 16 / 65

tan A = opp/adja = 63/16

For angle B:

opposite side = 16

adjacent side = 63

hypothenuse side = 65

sin B = opp/hypo = 16 / 65

cos B = adj/hypo = 63 / 65

tan A = opp/adja = 16/63

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Answer:

To create a line plot for this data, we can first convert all the fractions to a common denominator, such as eighths:

Monday: 6/8 of an hour

Wednesday: 4/8 of an hour

Friday: 2/8 of an hour

Sunday: 4/8 of an hour

Then, we can draw a number line with tick marks representing each day of the week and plot a dot for each amount of time spent working out:

0         1         2         3         4

|---------|---------|---------|---------|   <- Number line

         .     .

       .             .

   .                     .

.                             .

To find out how much time June should work out each day to spend an even amount of time working out, we can first find the total amount of time she spent working out:

6/8 + 4/8 + 2/8 + 4/8 = 16/8 = 2 hours

Since there are four days she worked out, to find out how much time she should work out each day, we can divide the total time by four:

2 hours ÷ 4 = 0.5 hours

Therefore, June should work out for 0.5 hours, or 30 minutes, each day to spend an even amount of time working out.

Increasing the sample size leads to a more accurate estimation of the population mean.

What is Probability ?

Probability can be defined as ratio of number of favourable outcomes and total number outcomes.

As the sample size, n, increases, the center of the sampling distribution of sample means becomes more precise and closer to the true population mean. This is known as the central limit theorem, which states that as the sample size increases, the distribution of sample means becomes approximately normal with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In other words, as we take larger and larger samples, we are more likely to obtain sample means that are closer to the true population mean. This is because larger samples are less affected by random fluctuations and more likely to provide a representative picture of the population as a whole.

Therefore, increasing the sample size leads to a more accurate estimation of the population mean.

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The upper and lower 3-sigma control chart limits for this DNA sample data are UCL = 18.53 and LCL = 0

When we are given data on the DNA samples taken over the past 10 days, we can calculate the upper and lower 3-sigma control chart limits. The sample size is 100, and the defective number of DNA samples is given for each of the ten days.

The 3-sigma control limits for a process control chart can be calculated using the following formula: Upper control limit (UCL) = Mean + (3 × Standard Deviation) and Lower control limit (LCL) = Mean - (3 × Standard Deviation),where the mean is the average value of the data, and the standard deviation is the spread of the data around the mean.

Here, we need to calculate the mean and standard deviation of the defective samples for the past 10 days. The average number of defectives per day (mean) is (7+9+9+11+7+8+0+11+13+2) / 10 = 77 / 10 = 7.7

To calculate the standard deviation, firstly, calculate the variance: variance = sum of the squared differences from the mean divided by the number of samples = [tex][(7-7.7)^2 + (9-7.7)^2 + ... + (2-7.7)^2] / 10[/tex]  ≈ 13.01 2.. Now, take the square root of the variance which gives standard deviation. So, standard deviation = [tex]\sqrt{13.01\\}[/tex] ≈ 3.61

Using the 3-sigma rule UCL = Mean + (3 * Standard Deviation) = 7.7 + (3 * 3.61) ≈ 18.53    and   LCL = Mean - (3 * Standard Deviation) = 7.7 - (3 * 3.61) ≈ -3.13. However, since the LCL cannot be negative, we set it to 0 in this context. So, the upper and lower 3-sigma control chart limits are: UCL = 18.53 LCL = 0

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answer for number 14 is 1115

you mutliply 27 into 1 ×45 into 100

it is 100 because we are dealing with percentage

so you say (write in fraction form)

27÷1×45÷100

=1215÷100

you get the answer of 1115

so there were 1115 female butterflies

we can subtract the answer from the original number to get the number of male butterflies

1215-1115 =100 male butterflies

According to the question, the exact value of side x in the Trina are  34.641016151377546in.

Value is an intangible concept that refers to the worth of something, whether it is tangible or intangible. It is based on the perceived benefits and costs associated with the thing in question. Value can be subjective, as different people may place different worth on the same item. Value can also be objective, as there may be a set market price for a certain item.

The exact value of side x in the triangle can be determined by using the law of sines. The law of sines states that the ratio of the length of a side to the sine of its opposite angle is the same for all sides of a triangle.

Therefore, we can set up the following equation:

(20in/sin30°) = (x/sin60°)

Solving for x, we get:

x = 20in×(sin60°/sin30°)

x = 20in×(√(3)/1)

x = 20in×√(3)

x = 34.641016151377546in

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The exact value of side x in the Trina, according to the question, is 34.641016151377546in.

Where you cannot predict the value, you must be specific. An exact number is a value that can be determined with absolute precision. Counted quantities of objects or sure unit conversions are examples of exact numbers.

The term "approximate number" refers to a number that is close to the precise number, and there is always a difference among exact and approximate numbers. For instance, are exact integers because no approximation is required.

As a result, we can construct the following equation:

(20in/sin30°) = (x/sin60°)

Solving for x, we get:

x = 20in×(sin60°/sin30°)

Simplify the above equation,

x = 20in×(√(3)/1)

x = 20in×√(3)

The value of x is,

x = 34.641016151377546in

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The complete question is,

What is the exact value of side x in the Trina for below? 20in 30 degree and X? Determine the exact value of side x.

In a rectangle where the length is 3 times the width, and the perimeter is 3 times the width. The perimeter is 96 cm, the length is 36 cm and the width is 12 cm.

Given,

Length of a rectangle is 3 times the width.

Perimeter is 3 times the width.

Perimeter is 96 cm.

Let w be the width of the rectangle.

The length of the rectangle is 3 times the width, so the length l is 3w.

The perimeter of the rectangle is equal to the sum of all its sides, so:

2w + 2(3w) = 96

2w + 6w = 96

8w = 96

w = 12

Therefore, the length is 36 cm and the width is 12 cm.

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Tim's fair share is 175 rupees and Tom's fair share is 125 rupees.

To find the fair share of both Tim and Tom depending on the work done, follow these steps:

Step 1: Find the total number of windows cleaned by both Tim and Tom.

Total number of windows cleaned = number of windows on ground floor + number of windows on first floor

Total number of windows cleaned = 7 + 8 = 15

Step 2: Find the ratio of the number of windows cleaned by Tim to the number of windows cleaned by Tom.

Ratio of Tim's work to Tom's work = number of windows cleaned by Tim / number of windows cleaned by Tom

Ratio of Tim's work to Tom's work = 7 / 8 = 0.875

Step 3: Divide the total money paid by the master (300 rupees) in the same ratio as the work done by Tim and Tom.

Tim's share = (0.875 / (0.875 + 1)) * 300 = 175 rupees

Tom's share = (1 / (0.875 + 1)) * 300 = 125 rupees

Step 4: Check the shares to ensure they add up to the total amount paid by the master.

Tim's share + Tom's share = 175 + 125 = 300 rupees

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Answer:

18. x = 80°

19. y = 85°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

18.

x + x + 20 = 180

2x = 160

x = 80

Answer: x = 80°

y + y + 10 = 180

2y = 170

y = 85

Answer: y = 85°

Answer: x = 80°  and  y = 85°

Step-by-step explanation: In a cyclic quadrilateral, opposite angles add up to 180°.

x + (x + 20) = 180  and

y + (y + 10) = 180.

Solving for x

x + (x + 20) = 180

x + x + 20 = 180

2x = 180 - 20

2x = 160

2x/2 = 160/2

x = 80°

Solving for y

y + (y + 10) = 180

y + y + 10 = 180

2y = 180 - 10

2y = 170

2y/2 = 170/2

y = 85°

it might be 12

this is because there are6 pairs and 2 pairs

2×6=12

Answer:24

Step-by-step explanation: 6 times 2 = 12 times 2= 24

Answer:

-407/42

Step-by-step explanation:

-8 6/7 - 5/6

-8 6/7 = -62/7

-62/7 - 5/6

= -372/42 - 35/42

= -407/42

Karla's three brothers can buy a maximum of 4 pieces of candy if they divide the money evenly.

What is division?

Division is a mathematical operation that involves splitting a quantity into equal parts or groups. It is one of the four basic arithmetic operations, along with addition, subtraction, and multiplication. Division is denoted by the symbol "÷" or "/", and it is usually expressed as a fraction or a quotient.

To solve this problem, we need to determine the amount of money represented by the shaded region. Here are the steps:

Assuming that each small square represents $0.01 and there are 143 shaded cells, the total amount of money represented by the shaded region is:

143 cells x $0.01/cell = $1.43

Now, we need to divide $1.43 evenly among Karla's three brothers to find the maximum number of pieces of candy each brother can buy.

$1.43 ÷ 3 = $0.476666...

Since we cannot buy fractional pieces of candy, we need to round down to the nearest whole number. Therefore, each of Karla's three brothers can buy a maximum of:

$0.47 ÷ $0.10/piece = 4 pieces of candy

So each of Karla's three brothers can buy a maximum of 4 pieces of candy if they divide the money evenly.

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Answer: 12

Step-by-step explanation: Just multiplied them

The domain and range of the function is (-∞, ∞),  (-∞, 18]

A function is a rule that gives each element from the domain set to a single element from the range set. The range is the set of values that the function can take, whereas the domain is the set of values for which the function is defined.

Consider the function f(x) = x^2, for instance. As the function may be defined for any value of x, the domain of this function includes all real numbers. Nevertheless, as the function may only accept values larger than or equal to zero, the range is limited to non-negative real numbers.

a. The domain and range of the function f(x) = -2x² + 8x + 10 are;

domain = (-∞, ∞)

range = (-∞, 18]

b. The domain and range of the function is;

domain = [0, 12]

range = [0, 18]

c. The domain and range of the function are;

domain = (-∞, ∞)

range = [-7, ∞)

d. The domain and range of the function are;

domain = (-∞, ∞)

range = [1, ∞)

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The bball3 dataset appears to take the form of panel data, which is a type of longitudinal data consisting of multiple observations of the same individuals over time

The bball3 dataset appears to take the form of panel data. Panel data is a type of longitudinal data where observations are made on the same individuals over time. This means that the dataset likely consists of multiple observations of a set of individuals, with the observations collected at different points in time. In a panel data set, each individual can be referred to as a ‘panel unit’.

Cross-sectional data, on the other hand, consists of observations that are collected only once, at a single point in time. This means that each observation consists of a snapshot of the population at a given moment, which is different from panel data where each observation may represent different points in time for the same individuals.

Time series data is a type of data that is collected over a period of time. It captures how a certain variable changes over time, and is often used for forecasting purposes. This is different from panel data, which captures information about the same individuals at different points in time.

In conclusion, the bball3 dataset appears to take the form of panel data, which is a type of longitudinal data consisting of multiple observations of the same individuals over time. It is not cross-sectional or time series data.

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The time necessary for the cell cycle for cancerous cells is significantly shorter compared to normal cells.

This implies that cancerous cells reproduce faster and therefore are able to spread more quickly. Doctors should be aware of this accelerated process so that they can provide more effective treatment options to their patients.

Explanation: In Model 1, the length of the arrow represents the time necessary for a cell to complete its cell cycle. For cancerous cells, the cell cycle is significantly shorter compared to normal cells.

This implies that cancerous cells can reproduce more quickly, and therefore spread more quickly. It is important for doctors to be aware of this so that they can make more informed decisions when it comes to treating cancer patients.

They should have an understanding of the accelerated process of cancerous cells, and use this to create better treatment plans for their patients.

This may include more aggressive methods of treatment such as chemotherapy and radiation, in order to try and stop the rapid spread of cancerous cells.

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Answer: I believe the answer is 7

Step-by-step explanation:

To solve this I just divided 56 by 8, the answer then is 7. Hope this helps!!!

To prove that the functions e^(r1*t), e^(r2*t), and e^(r3*t) are linearly independent on (-∞,∞) for distinct real numbers r1, r2, and r3, we will follow the hint provided:

1. Assume to the contrary that e^(r1*t) = C1*e^(r2*t) + C2*e^(r3*t) for all t, where C1 and C2 are constants.
2. Divide both sides of the equation by e^(r1*t) to obtain: 1 = C1*e^((r2-r1)*t) + C2*e^((r3-r1)*t).
3. Differentiate both sides of the equation with respect to t:
  0 = C1*(r2-r1)*e^((r2-r1)*t) + C2*(r3-r1)*e^((r3-r1)*t).
4. Now, observe that e^((r2-r1)*t) and e^((r3-r1)*t) are linearly dependent, which is a contradiction, since we know that r1, r2, and r3 are distinct real numbers, and the exponential functions with distinct exponents are linearly independent.Thus, the functions e^(r1*t), e^(r2*t), and e^(r3*t) are linearly independent on (-∞,∞) for distinct real numbers r1, r2, and r3.

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Answer:

Step-by-step explanation:

E

The expected number of patients who will report symptomatic relief is 20.9. and the probability of exactly 20 patients reporting relief being 0.1977, and the probability of at least 20 patients reporting relief being 0.3832.

(a) The expected number of patients who will report symptomatic relief is 20.9.

The probability of a patient reporting symptomatic relief is 0.95, so the probability of a patient not reporting relief is 0.05. Using the binomial distribution formula, the expected value of the number of patients who will report relief is:

E(X) = n * p = 22 * 0.95 = 20.9

(b) The probability that exactly 20 patients will report symptomatic relief is 0.1977.

Using the binomial distribution formula, we can calculate the probability of exactly 20 patients reporting relief:

P(X = 20) = (22 choose 20) * 0.95^20 * 0.05^2 = 0.1977

(c) The probability that at least 20 patients will report symptomatic relief is 0.3832.

Using the binomial distribution formula, we can calculate the probability of 20 or more patients reporting relief:

P(X >= 20) = P(X = 20) + P(X = 21) + ... + P(X = 22)

P(X >= 20) = 1 - P(X < 20)

P(X >= 20) = 1 - (P(X = 0) + P(X = 1) + ... + P(X = 19))

P(X >= 20) = 1 - 0.6168

P(X >= 20) = 0.3832

Therefore, the probability that at least 20 patients will report symptomatic relief is 0.3832.

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The product of 556 and 16 is therefore 33 1/4 as we express the quotient of 556 and 16 as a mixed number in the simplest form.

A mathematical assertion that two expressions are equal is known as an equation. A typical equation has one or more variables, which are often denoted by letters and have a range of possible values. Equations are frequently used in a variety of fields to describe relationships between distinct numbers or to address issues. For instance, the equation x + 2 = 5 only has one variable, x. It denotes that the product of x and 2 equals 5.

given

We can represent 556 as a rectangle with length 556 and width 1, and 16 as a rectangle with length 16 and width 1 to calculate the quotient of 556 and 16 using an area model.

This is how it goes:

To start, we deduct 16 from 556 to obtain:

556 - 16 = 540

540 = 16 x 33 + 4

Finally, by multiplying the numerator and denominator of the fraction 33 4/16 by 4, we may express the quotient of 556 and 16 as a mixed number in the simplest form, which results in:

556 ÷ 16 = 33 4/16 = 33 1/4

The product of 556 and 16 is therefore 33 1/4 as we express the quotient of 556 and 16 as a mixed number in the simplest form.

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Answer:

The Factor Theorem and Synthetic Division are not the same. The Factor Theorem states that if a polynomial f(x) has a root c, then x - c is a factor of f(x). Synthetic Division is a way of dividing a polynomial by a binomial.

Step-by-step explanation:

To use Synthetic Division, you first need to find the coefficients of the polynomial. Then, you set up the synthetic division table with the binomial on top and the coefficients of the polynomial on the bottom. Starting with the first coefficient, you multiply it by the first term of the binomial and write the product below the coefficient. Then, you add the two numbers below the product and write the sum below that. Continue until you reach the end of the binomial. The remainder at the bottom of the table is the remainder when f(x) is divided by x - c.

If the remainder is 0, then x - c is a factor of f(x).

The intersection of two evens a and b is the event that both a and b occur that is option A is correct.

The intersection of two events A and B is defined as the event that occurs when both A and B occur simultaneously. It is denoted by A ∩ B, where the symbol ∩ represents intersection.

For example, if event A is "getting a head when flipping a coin" and event B is "rolling a 6 on a fair die", then the intersection of A and B would be the event "getting a head when flipping a coin and rolling a 6 on a fair die".

For example, suppose A represents the event "rolling an even number on a dice" and B represents the event "rolling a number greater than 3 on a dice". The intersection of A and B is the event that "rolling a number that is both even and greater than 3 on a dice", which consists of the outcomes {4, 6}.

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Complete Question:

the intersection of two events a and b is the event that:

a) both a and b occur.

b) the union of ac and bc occurs.

c) the union of a and b does not occur.

d) either a or b or both occur.

e) either a or b, but not both.

f) none of the above.

The sum of the deviations of the individual data elements from their mean is always equal to zero. Correct option is A.

This is because the deviation is defined as the difference between each data point and the mean of all the data points.

Since the mean is calculated as the sum of all the data points divided by the total number of data points, the positive deviations from the mean must be balanced out by the negative deviations from the mean. In other words, for every data point that is above the mean, there is a corresponding data point that is below the mean.

When we add up all the deviations from the mean, the positive deviations will cancel out the negative deviations, resulting in a sum of zero. This property of the sum of deviations from the mean is fundamental to many statistical concepts, such as variance and standard deviation.

Therefore, the correct answer to the question is (a) equal to zero, since the sum of the deviations from the mean is always zero.

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