Convert 48°36'12" to the nearest thousandth of a degree

Answers

Answer 1

48 degrees remains

divide minutes by 60

36/60 = 0.6

then divide seconds by 3600

12/3600=0.003 ( to nearest thousandth)

now add them all up

48 +0.6 + 0.003 = 48.603 degrees


Related Questions

To the nearest degree what is the measure of each exterior angle of a regular hexagon ?

a.60°
b.45°
c.30°
d.51°

Answers

This is the concept of geometry, the total sum of angles in a hexagon is given by:
(n-2)*180
=(6-2)*180
=720
the size of each interior angle will be:
120°
N/B
the exterior and interior angles are supplementary to each other.
Therefore the size of the exterior angle will be:
180-120
=60°
the answer is A

Answer:

A


Step-by-step explanation:

The sum of measures of all the exterior angles of ANY POLYGON is 360°.

The measure of each exterior angle of ANY POLYGON is [tex]\frac{360}{n}[/tex]

where [tex]n[/tex] is the number of sides of the polygon


A hexagon has 6 sides, thus the measure of each exterior angle of a hexagon is:

[tex]\frac{360}{6}=60[/tex] degrees

Answer choice A is correct.

Find the 6th term of the sequence with t1 = -4 and tn = 5tn-1

Answers

All you have to do is subtitle the t1 in the equation

T2= 5(-4)= -20 don the same thing for all of them :


-100 t3

-500. T4

-2500 t5


-12500 is t6





Four students get 90s on a test, three get 70s, 2 get 60s and one gets an 80. what is the mean test score in this group?

Answers

The mean score will be given by:
mean=
mean=[90*4+70*3+2*60+80]/10
=[360+210+120+80]/10
=770/10
=77
the mean score is 77

Final answer:

The mean test score for the group is calculated by summing the products of each unique score and the number of students who received it, then dividing by the total number of students. In this case, the mean test score is 77.

Explanation:

To calculate the mean test score for the group, you multiply each score by the number of students who received it, then sum all those products, and finally divide by the total number of students. Four students scoring 90 would contribute 4 x 90 = 360 to the total sum. Three students scoring 70 contribute 3 x 70 = 210. Two students scoring 60 contribute 2 x 60 = 120. One student scoring 80 adds 80 to the sum. The total sum of all scores is 360 + 210 + 120 + 80 = 770. Since there are a total of 10 students (4 + 3 + 2 + 1), the mean score is calculated as 770 ÷ 10 = 77. Therefore, the mean test score in this group is 77.

You are required to take five​ courses, one each in​ humanities, sociology,​ science, math, and music. you have a choice of 2 humanities​ courses, 2 sociology​ courses, 6 science​ courses, 6 math​ courses, and 8 music courses. how many different sets of five courses are​ possible?

Answers

Final answer:

By multiplying the course options together for Humanities, Sociology, Science, Math and Music (2*2*6*6*8), we found that there are a total of 576 different sets of five courses.

Explanation:

To answer this question, we have to calculate the number of different sets of five courses. This can be done by multiplying the number of choices available for each requirement. So, if you have 2 humanities​ courses, 2 sociology​ courses, 6 science​ courses, 6 math​ courses, and 8 music courses to decide from, the calculation would be as follows:

We then multiply these options together (2*2*6*6*8) to get the total number of different sets of courses possible, which is 576.

Learn more about Course Combination here:

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To find the total number of different sets of five courses, multiply the number of choices for each course category: 2 (Humanities) × 2 (Sociology) × 6 (Science) × 6 (Math) × 8 (Music). This results in 1152 different sets of five courses.

To determine the number of different sets of five courses possible, we need to consider the choices available for each category:

- Humanities: 2 choices

- Sociology: 2 choices

- Science: 6 choices

- Math: 6 choices

- Music: 8 choices

The total number of different sets of five courses can be found by multiplying the number of choices in each category together. Here is the calculation:

2 × 2 × 6 × 6 × 8

Let's calculate this step-by-step:

1. 2 × 2 = 4

2. 4 × 6 = 24

3. 24 × 6 = 144

4. 144 × 8 = 1152

Therefore, the number of different sets of five courses possible is: 1152

help me create an extraneous radical equation please using this model!! :) thank you.
[tex]a \sqrt{x}+b + c = d[/tex]

I don't need you to solve it, just help me pick numbers for variable a, b, c, and d to create an extraneous solutuion

Answers

If you are sure that's exactly what the equation is:

b,c,d are all numbers, so indeed, focus on a single number, say 'e'. Also a can't be zero, or there is no equation at all! So, again all numbers can be grouped:

a*sqrt(x) + b+c=d ---> sqrt(x) = f, f some number.

x = f^2 is the solution.

To be extraneous, means that it does not solve the equation.

Why here? Because by definition in mathematics sqrt( f^2) is not f! but abs(f), that is:

sqrt(9)=3,

So you just need to set the numbers to -3: (thinking x=9)

2*sqrt(x) + 7 -4 = -3

this gives: sqrt(x) = -3, from which x= 9, but sqrt(9) = 3.

It's kind of tricky, because many forget the definition that sqrt(a^2) = abs(a).

The same does not happen when looking for roots.

You should ask your teacher to make sure this is what they want.

Let me say that usually extraneous solutions are those which come out after solving an equation but make no sense when substituted in the original equation. But with sqrt(x) and your so particular equation, there is nothing else to say.

What is the value of 10 C 2

Answers

The formula to use is the nCr combination formula
n C r = (n!)/(r!*(n-r)!)
where the exclamation marks indicate factorial notation

Plug n = 10 and r = 2 into the formula
n C r = (n!)/(r!*(n-r)!)
10 C 2 = (10!)/(2!*(10-2)!)
10 C 2 = (10!)/(2!*8!)
10 C 2 = (10*9*8!)/(2!*8!)
10 C 2 = (10*9)/(2!)
10 C 2 = (10*9)/(2*1)
10 C 2 = 90/2
10 C 2 = 45

Answer: 45

The population of a town in 2000 was 430. The population is increasing at a rate of 0.9% every year. What will be the projected population of the town in 2010? Round your answer to the nearest whole number

Answers

if in 2000 there were 430 folksk, 2010 is 10 years later, thus t = 10

[tex]\bf \qquad \textit{Amount for Exponential Growth}\\\\ A=I(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\to &430\\ r=rate\to 0.9\%\to \frac{0.9}{100}\to &0.009\\ t=\textit{elapsed time}\to &10\\ \end{cases} \\\\\\ A=430(1+0.009)^{10}\implies A=430(1.009)^{10}[/tex]

write the expression in factored form: m²-n²

Answers

This expression is a difference of squares: [tex]x^2 - y^2 = (x + y)(x - y)[/tex]

[tex]m^2 - n^2 = (m + n)(m - n)[/tex]
 difference of 2 squares

m^2 - n^2  = (m - n)(m + n)

Find the volume of a sphere that has a surface area of 16 sq. in.
A. (32/3) cubic inches
B.8 cubic inches
C.(4/3) cubic inches

Answers

Given the surface area of the sphere, for us to obtain the volume we need to get the value of the radius. The surface area of the sphere is given by:
S.A=4πr^2
hence the radius can be calculated as follows;
16=4πr^2
4=πr^2
r=(4/π)^(1/2)
volume of a sphere is given by:
V=4/3πr^3
=4/3*π*(4/π)^(1/2))^3
=32/3 cubic inches


Answer:

A is the answer

Video studying aboard and she's requested required to pay $3,500 in u.s. dollars per year to the university however she must pay in Euros how many euros can be there except to pay per month to the university round to the nearest Point 7306equals one u.s. dollar

Answers

We know that:
$1 = .7306 Euros
She has to pay $3,500 per year to the University.
$3,500 * .7306 = 2,557.10 Euros
And since we have to find how many Euros can be except to pay per month:
2,557.10 : 12 = 213.09 ≈ 213 Euros
Answer:
She would pay 213 Euros per month.

geometry. helppp!!! please explain this

Answers

Answer: 10

----------------------------------------------

Explanation:

Segment TU must be congruent (equal in length) to segment UV in order for the angle TSV to be bisected by segment SU

Bisected = cut in half

So because TU = UV, we can say,

TU = UV
3x+18 = 4x+8
3x+18-3x = 4x+8-3x
18 = x+8
18-8 = x+8-8
x = 10

what is the domain and range for the following function and its inverse f(x) = x2 – 2

Answers

When a function is graphed, the domain refers to the points along the x-axis that is covered by the graph. On the other hand, the range refers to the points along the y-axis that is covered by the graph. The inverse of the function can be determined when you substitute the negative value of x. The function and its inverse have the identical graphs.This is because of the term x^2. Whether x is negative or positive, it will yield the same positive the answer. The graph is shown in the picture.

The domain is from -∞ to +∞, while the range is from -2 to +∞.

Answer:

x2-2 domain an range are 0, -2

Step-by-step explanation:

please help, show me the steps

Answers

let's say, the number is "a".

what's three times "a"? well, 3*a or 3a.

ok... what's four more than that? well, 3a + 4

what's the square root of that? well,  [tex]\bf \sqrt{3a+4}[/tex]

alrite, and we know that's equal to 7...so

[tex]\bf \sqrt{3a+4}=7\impliedby \textit{squaring both sides} \\\\\\ (\sqrt{3a+4})^2=7^2\implies 3a+4=49\implies 3a=45\implies a=\cfrac{45}{3} \\\\\\ \boxed{a=15}[/tex]

Determine the factors of 15x2 + 3xy + 10x + 2y. (4 points)


(3x + 2)(5x + y)
(5x + y)(2x + 3)
(3x + y)(5x + 2)
(5x + 3)(2x + y)

Answers

We have to determine the factors of:
15 x² + 3 x y + 10 x + 2 y =
= 3 x · ( 5 x + y ) + 2 · ( 5 x + y ) =
= ( 5 x + y ) ( 3 x + 2 ) = ( 3 x + 2 ) ( 5 x + y )
Answer:
A )  ( 3 x + 2 ) ( 5 x + y )

Answer:

the answer is the first option : A

Step-by-step explanation:

What reference angle in the first quadrant corresponds to theta = -120? Answer in radians.

Answers

To draw theta=-120° in the unit circle, we move clockwise 90°, then another 30°.

This means that we pass the fourth quadrant and stop in the third quadrant.

The reference angle of an angle theta in the third quadrant, is theta + 180°.

So the reference angle of -120° is -120°+180°=60°.


         360° are 2π Radians
then  60° are 1/6 of 2π Radians = π/3 Radians


Answer: Reference angle is π/3 Radians

Answer:

Answer: Reference angle is π/3 Radians

Step-by-step explanation:

Foe the AP given by a1,a2,......,an,...with non zero common difference, the equation satisfied are

Answers

The given sequence is
a₁, a₂, ..., [tex] a_{n} [/tex]

Because the given sequence is an arithmetic progression (AP), the equation satisfied is
[tex] a_{n}=a_{1}+(n-1)d [/tex]
where
d =  the common difference.

The common difference may be determined as
d = a₂ - a₁

The common difference is the difference between successive terms, therefore
d = a₃ - a₂ = a₄ - a₃, and so on..

The sum of the first n terms is
[tex]S_{n}= \frac{n}{2} (a_{1}+a_{n})[/tex]

Example:
For the arithmetic sequence
1,3,5, ..., 
the common difference is d= 3 - 1 = 2.
The n-th term is
[tex]a_{n}=1+2(n-1)[/tex]

For example, the 10-term is
a₁₀ = 1 + (10-1)*2 = 19
Th sum of th first 10 terms is
S₁₀ = (10/2)*(1 + 19) = 100



In science class, Savannah measures the temperature of a liquid to be 50∘ Celsius. Her teacher wants her to convert the temperature to degrees Fahrenheit. What is the temperature of Savannah's liquid to the nearest degree Fahrenheit

Answers

Final answer:

To convert the temperature of Savannah's liquid from Celsius to Fahrenheit, use the equation °F = (°C × 9/5) + 32. Savannah's temperature in Celsius is 50°, so her temperature in Fahrenheit is 122°F.

Explanation:

To convert the temperature from Celsius to Fahrenheit, you can use the equation:
°F = (°C × 9/5) + 32.
In this case, Savannah's temperature in Celsius is 50°. Using the equation, we can calculate her temperature in Fahrenheit as:
°F = (50 × 9/5) + 32 = 122°F.
Therefore, the temperature of Savannah's liquid to the nearest degree Fahrenheit is 122°F.

Final answer:

Savannah's liquid, initially measured at 50°C, converts to 122°F using the formula F = C x (9/5) + 32.

Explanation:Converting Celsius to Fahrenheit

To convert the temperature from degrees Celsius to degrees Fahrenheit, we use the conversion formula: F = \( C \times \frac{9}{5} + 32 \), where F is the temperature in degrees Fahrenheit and C is the temperature in degrees Celsius.

In Savannah's case, she measured the temperature as 50°C. Applying the conversion formula:

First, multiply the Celsius temperature by \( \frac{9}{5} \)50 \times \frac{9}{5} = 90Then, add 32 to this result to find the Fahrenheit temperature.90 + 32 = 122

Therefore, the temperature of Savannah's liquid to the nearest degree Fahrenheit is 122°F.

How high is a 40-foot ramp if it is propped at a 30 degree angle?

Answers

This is the concept of trigonometry, the height of the ramp will be given by:
sin theta=[opposite]/[hypotenuse]
theta=30
opposite=x
hypotenuse=40 ft
hence;
sin 30=x/40
thus;
x=40sin30
x=20 ft
the ramp is 20 ft high

Use newton's method to find the absolute minimum value of the function f(x)=x2+sinx correct to six decimal places.

Answers

The solution would be like this for this specific problem:

 

f(x) = x^2 + sin(x) 

f '(x) = 2x + cos(x) 

 

The minimum value is at f '(x) = 0, 

 

So, let g(x) = 2x + cos(x) 

Thus, g '(x) = 2 - sin(x) 

x(new) = x - g(x) / g '(x) 
or 
x(new) = x - [2x + cos(x)] / [2 - sin(x)] 

 

Calculation 

x1 = -0.5 - [2 * -0.5 + cos(-0.5)] / [2 - sin(-0.5)] 
= -0.4506266931 
x2 = -0.4501836476 
x3 = -0.4501836113 
x4 = -0.4501836113 

 

This value for x, f(x) = -0.2324655752. 


After converting to 6 decimal places: the minimum point is (-0.450184, -0.232466).

Final answer:

To find the absolute minimum value of f(x)=x^2+sin(x), use Newton's method with Newton-Raphson iteration x_{n+1} = x_n - f(x_n)/f'(x_n). Start with an initial guess and iterate until the result converges to six decimal places, ensuring the second derivative at the critical point is positive.

Explanation:

To find the absolute minimum value of the function f(x)=x^2+sin(x) correct to six decimal places, we can use Newton's method. Newton's method helps to find successively better approximations to the roots (or zeroes) of a real-valued function. First, we need to find the derivative of the function, which gives us f'(x) = 2x + cos(x). We are looking for a critical point where the derivative is zero because this could indicate a potential minimum (or maximum).

Starting with an initial guess, we can apply the Newton iteration formula x_{n+1} = x_n - f(x_n)/f'(x_n) to find a better approximation. In this case, let's choose an initial guess close to the root of f'(x). Since we do not have the specific initial guess, we would theoretically pick a value near the expected minimum and iterate until the difference between consecutive approximations is less than the desired tolerance, which is the change in six decimal places.

The Newton-Raphson iteration would be applied repeatedly until convergence is seen at six decimal places. Note that in practice, one must also check the second derivative f''(x) at the found critical point to confirm it is a minimum (it should be positive).

The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What equation do you need to solve to find the selling price or prices that would generate $50 in daily profit? What method would you use to solve the equation? Justify your choice.

Answers

Daily profit, y, as a function of T-shirts sold, x, is
y = -10x² + 160x - 430

In order to generate $50 in daily profits, the number of T-shirts sold is determined by solving the equation
-10x² + 160x - 430 = 50

Divide through by -10.
x² - 16x + 43 = -5
x² - 16x + 48 = 0

Answer:
This quadratic equation can be solved by factorization.

Explanation:
Note that
48 = 4 x 12, and
4 + 12 = 16
Therefore
x² - 16x + 48 = (x - 4 )(x - 12 ) = 0
The solutions are
x - 4 = 0  => x = 4, and
x - 12 = 0  => x = 12


a. The required equation is x² - 16x + 48 = 0

b. I would use factorisation to solve it and the selling prices that would generate a daily profit of  $50 are $4 and $12 respectively.

a.

The required equation is x² - 16x + 48 = 0

The required equation

Since the quadratic function y = -10x² + 160x - 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. Since we require a profit of $50, then y = 50.

So, y = -10x² + 160x - 430

-10x² + 160x - 430 = 50

-10x² + 160x - 430 - 50 = 0

-10x² + 160x - 480 = 0

Dividing through by -10, we have

x² - 16x + 48 = 0

So, the required equation is x² - 16x + 48 = 0

b.

I would use factorisation to solve it and the selling prices that would generate a daily profit of  $50 are $4 and $12 respectively.

The method

To determine the method you would use to solve the equation, you would need to determine the value of the discriminant.

Discriminant

For a quadratic equation ax² + bx + c = 0, the discriminant is D = b² - 4ac

Since x² - 16x + 48 = 0 and its discriminant D = (-16)² - 4 × 48

= 256 - 192

= 48

= 64 > 0 and is a perfect square, so it is factorizable. The equation would have real and distinct roots,

So, x² - 16x + 48 = 0

x² - 4x - 12x + 48 = 0

x(x - 4) - 12(x - 4) = 0

(x - 4)(x - 12) = 0

x - 4 = 0 or x - 12 = 0

x = 4 or x = 12

I would use factorisation to solve it and the selling prices that would generate a daily profit of  $50 are $4 and $12 respectively.

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Express the number as a ratio of integers. 7.5336

Answers

75336 /  10000

division gives you 7.5336

Use the equation and type the ordered-pairs.

y = log 3 x

{(1/3,____,)(1,___), (3,___),(9,____),(27,____),(81,___)}

Answers

I don't know if the equation is log of 3 x or natural log( log of 10) so I'll just assume that it is log of 3


-1,0,1,2,3,4 is the answer for y according to order

Answer:

[tex]{(1/3, 0) , ( 1, 0.477), (3, 0.954), (9, 1.43), (27, 1.90), (81, 2.385)}\\[/tex]

Step-by-step explanation:

Here the "X" Values are given, thus the corresponding "Y" values will be

[tex]Y = log (3 X)\\a) X = \frac{1}{1} , Y =  log (3 * \frac{1}{3} ) = log (1) = 0\\b) X = 1, Y = log (3*1) = log (3) = 0.477\\c) X = 3, Y = log (3*3) = log (9) = 0.954\\d) X = 9, Y = log (3*9) = log (27) = 1.43\\e) X = 27, Y = log (3* 27) = log (81) = 1.90\\f) X = 81, Y = log (3 * 81) = log (243) = 2.385\\[/tex]

So the pattern would be

[tex]{(1/3, 0) , ( 1, 0.477), (3, 0.954), (9, 1.43), (27, 1.90), (81, 2.385)}\\[/tex]

The graph and table shows the relationship between y, the number of words Jean has typed for her essay and x, the number of minutes she has been typing on the computer.

According to the line of best fit, about how many words will Jean have typed when she completes 60 minutes of typing?

2,500

2,750

3,000

3,250

Answers

Just follow the vertical line up from x = 60 and read  off the number of words on vertical y axis.

You will find its 3,000.

The number of words Jean will type when she completes 60 minutes of typing is  3,000, This is further explained below Option C is correct

What is correlation?

Correlation is simply a relationship that exists between events or objects, A relationship between mathematical variables that are subject to variation.

In conclusion, The graph and table show the relationship between y and x

And the graph shows 3000 at "the number of words Jean has typed for her essay" axis denoted by y, for what she completes 60 minutes.

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If the mean of a symmetric distribution is 82, which of these values is most likely to be the median of the distribution? A.92 B. 85 C.78 D.82

Answers

As the distribution is symmetrical the the mean is likely to be equal to the median

So its 82

WILL GIVE BRAINLIEST PLEASE HELP!!

What is the fifth term of the recursive formula an=2an-1 with the first term of 3?

A.
7
B.
17
C.
33
D.
65

Answers

Hi.

Your answer is going to be

C.) 33

Hope this helps! :)

If f(x)=x-7 and g(x)=x^3, what is G(f(x))?

A. x^3+x-7
B. x^3(x-7)
C. X^3-7
D. (x-7)^3

Answers

replace the 'x' in the formula for g(x) by f(x):-

g(f(x)) =  (x-7)^3

Its D

Answer:

D.  [tex](x-7)^3[/tex]

Step-by-step explanation:

Given functions are,

[tex]f(x) = x-7-----(1)[/tex]

[tex]g(x)=x^3-----(2)[/tex]

Now,

[tex]g(f(x))=g(x-7)[/tex]     ( From equation (1) ),

[tex]=(x-7)^3[/tex]            ( From equation (2) ),

[tex]\implies g(f(x)) = (x-7)^3[/tex]

Hence, Option D is correct.

write the number 32.56 corrrect to one decimal place

Answers

32.56...correct to 1 decimal place = 32.6

Donna the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 7 clients who did Plan A and 9 who did Plan B. On Saturday there were 5 clients who did Plan A and 3 who did Plan B. Donna trained her Friday clients for a total of 12 hours and her Saturday clients for a total of 6 hours.
How long does each of the workout plans last?

Answers

x = plan A and y = plan B
7x + 9y = 720
5x + 3y = 360.....multiply by -3
---------------
7x + 9y = 720
-15x - 9y = -1080 (result of multiplying by -3)
---------------add
-8x = - 360
x = -360/-8
x = 45 minutes <== plan A

5x + 3y = 360
5(45) + 3y = 360
225 + 3y = 360
3y = 360 - 225
3y = 135
y = 135/3
y = 45 minutes <== plan B

so both plans last 45 minutes <==

Which of the following statements are true? I. -(-6) = 6 and -(-4) > -4 III. 5 + 6 = 11 or 9 - 2 = 11 II. -(-4) < 4 or -10 > 10 - 10 IV. 17 > 2 or 6 < 9

Answers

IV : 17 > 2 or 6 < 9......these are true....17 is greater then 2 and 6 is less then 9

The answer would be an option (D) 17 > 2 or 6 < 9 because 17 is greater than 2 and 6 is less than 9 is always true.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

I. -(-6) = 6 and -(-4) > -4

Here -(-4) > -4 is incorrect

-(-4) = 4 is correct

These statements are not true

III. 5 + 6 = 11 or 9 - 2 = 11

Here 9 - 2 = 11 is incorrect

So 9 - 2 = 7  is correct

These statements are not true

II. -(-4) < 4 or -10 > 10 - 10

Here -(-4) < 4 is incorrect

So -(-4) = 4 is correct

These statements are not true

IV. 17 > 2 or 6 < 9

Here 17 is greater than 2 and 6 is less than 9 is always true.

Hence, the correct answer would be an option (D)

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The function h(x) = x2 + 6x + 7 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)

Part C: Determine the axis of symmetry for h(x). (2 points)

Answers

Part A.

The given equation is:

y = x^2 + 6x + 7

By completing the square:

y = (x^2 + 6x + 9) + 7 – 9

y = (x + 3)^2 – 2

y + 2 = (x + 3)^2

 

Part B.

The vertex form of a parabola is in the form:

y – k = 4p (x – h)^2

Where (h, k) is the vertex (x, y) of the parabola.

Therefore the vertex: (-3, -2)

Since 4p = 1, a positive number, therefore the parabola opens up which makes the vertex (-3, -2) the minima of the graph.

 

Part C.

The Axis of Symmetry is the x - coordinate of the vertex which is x = - 3

Other Questions
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