Thursday

July 24, 2014

July 24, 2014

Number of results: 68,782

**Pre-Calculus/Trig Check please and help**

Could someone please check the first one and help me with the second one. I'm stuck-Thank you 1.What are theroots of the following polynomial equation? (x+2i)(x-5)(x-2i)(x+8) = 0 I think the roots are -2i,5,2i,-8-you take out the roots as opposites of what are in the equaion ...
*September 5, 2011 by Tabitha*

**Pre-Calculus-Please check**

Please check: 1.Find polar equation of x^2 + y^2 = 10y subbed r^2 for x^2 + y^2 and sin(theta sin for y =r^2=10sin(theta) 2. y=5 r=5/sin 3. x^2+y^2 =x^2 + y^2 =2x+3y
*October 5, 2011 by Tonya*

**Pre- Calculus**

Evaluate the trig function tan33degress
*February 23, 2012 by Steve*

**pre calculus 2**

use the fundamental trig. Identities to simplify tan^4x+2tan^2x+1
*July 24, 2011 by denise *

**Pre-Calculus/Calculus**

I am too embarassed to ask this Calculus (really pre-calculus) question in tutoring, because I know I should know. Is the inverse of f(x)=3x-1 actually f(x)=1/3x+1? How do I find it? What if it asks the same equation replaced with f to the -1 power (x)? I think I know how the ...
*July 1, 2008 by Molly*

**Pre-calculus**

find the trig functions of angle x if the terminal side of x passes through the point (-12, 5).
*August 7, 2011 by Lala Kennedy*

**Pre Calculus/Trig**

find the area of a circle inscribed in triangle ABC where a=9, b=13, and the measure of angle C=38 degrees
*October 11, 2007 by Nick*

**pre calculus**

determine the order of magnitude for the following: 1. a $1 bill and a dime 2. two products scored a PH level of 6.1 and 4.o I can't figure out #1 but I did get #2 to be 10^2.1 Please help with #1 and check to see I did #2 right?
*February 3, 2014 by Anonymous*

**Pre-calculus-check answer please**

Write the standard form of the equation of the circle that is tangent to the line x=3 and has center at (-2,-7). Answer: (x+2)^2+(y+7)^2=49 Is this correct?
*October 13, 2008 by Lucy*

**Pre-Algebra(please check)**

Please check these simplified expressions(my answer is after the ;) 4(2k-6)-8(3-3k); -16k-(-48) 9+(-2k)+(-4)-6k; -8k+5 -x+4x-(-8x)-9+2x+1; 13x+(-8) 5(-3x+6)+8x; -7x+30 8+6x+4-8x; -2x+12 5(-m-3)+4m-10; -9m+5
*May 18, 2008 by Jillian*

**Pre-Calculus**

Find the values of x for which the line y=2x intersects the parabola y=(x-1)^2+1. So I set the equations equal to eachother, and solved for x using the quadratic formula. The solution I got was: x=3.41 and x=0.59. Could someone please check my work.
*September 20, 2010 by Jon*

**Pre-Calculus**

Sorry to be a pest but I never got an answer and I'm really stuck Can you please check this equation. Find polar equation of x^2 + y^2 = 10y x^2 + y^2 = r^2 r^2 = 10sin(theta)
*October 7, 2011 by Tonya*

**Pre-Calculus**

Could someone check my answers? 27. (16/9)^2/3 = 64/27 28. (49/25)^3/2 = 343/125 31. (-64)^2/3 = 8 32. (-8)^-4/3 = 1/16 or -1/16
*April 22, 2013 by Caroline*

**Pre Calculus**

Pre Calculus why is sin(-20)/cos 380 equal to tan (-200)
*November 15, 2009 by Pre Calculus*

**Pre-Calculus**

I am in Honors Pre-Calculus and am having a hard time understanding my teacher. I feel so stupid. Does anyone have any suggestions on a website that might give me some insight into what I am doing wrong? Thanks!
*October 7, 2008 by Jill*

**Pre-Calculus**

Please check: 1.Find polar equation of x^2 + y^2 = 10y r^2 for x^2 + y^2 and sin(theta sin for y =r^2=10sin(theta) 2. y=5 r=5/sin 3. x^2+y^2 =x^2 + y^2 =2x+3y
*October 5, 2011 by Tonya*

**Pre-Calculus**

I posted earlier and didn't get an answer so I'm posting again-hoping someone could please check these two-I think they're correct Please check my answer: I think it's correct? 1.Find polar form of (-3,2) r=sqrt of (-3)^2 + 2^2)=sqrt (13) = 3.61 tan^-1(2/-3) = 33.79 180-33.79...
*October 13, 2011 by Courtney*

**pre calc trig check my work please**

sin x + cos x -------------- = ? sin x sin x cos x ----- + ----- = sin x sin x cos x/sin x = cot x this is what i got, the problem is we have a match the expression to the equation work sheet and this is not one of the answers. need to figure out what im doing wrong so i can ...
*October 20, 2010 by Anna*

**pre-cal/trig**

PlEASE hlep me with this!! I need it as soon as possible....... cos(x-(pi/4))+sin(x-(pi/4))=1 Find the answer from 0 to 2pi. When I slove this, I got cosx+sinx=(1/ square root of 2). then I don't know what to do the rest. Please help me.
*March 4, 2008 by aa*

**Calculus - please check my work**

Differentiate each function a) y = -3x^2 + 5x - 4 b) f(x) = 6/x - 3/(x^2) c) f(x) = (3x^2 - 4x)(x^3 + 1) the answers i got for each was: a) y'= -6x + 5 b) f'(x)= -6/x^2 + 6/x^3 c) f'(x)= 15x^4 + 6x - 16x^3 - 4 please double check and let me know if these are correct, thank you.
*June 18, 2012 by Henry*

**Pre-Calculus-check answers**

Write the equation of the circle that passes through the point (3,4) and has its center at (1,2). Answer: (x-1)^2 +(y-2)^2 = 8 Thanks for the help.
*October 11, 2008 by Lucy*

**Pre-Calculus-Trig**

A road rises 140 feet per horizontal mile. What angle does the road make with the horizontal?
*January 30, 2011 by Chloe Mack*

**Pre-Calculus**

Can you show me how to find the rectangular equation: r=2cos(theta) + 3 sin (theta) All I need is an example to work off I was absent today from Pre-Calc and I have homework to do and no explanation with them-Please help with this one Thank you
*October 3, 2011 by Leah*

**Pre-Calculus-Trig**

A 40 foot high flagpole sits on the side of a hill. The hillside makes a 17 degree angle with horizontal. How long is a wire that runs from the top of the pole to a point 72 feet downhill from the base of the pole?
*January 30, 2011 by Chloe Mack*

**Pre-Calculus-Trig**

A pilot in a plane at an altitude of 22,000 feet observes that the angle of depression to a nearby airport is 26 degrees. How many miles is the airport from a point on the ground directly below the plane?
*January 30, 2011 by Chloe Mack*

**Pre-Calculus-Trig**

A surveyor stakes out points A and B on sides of a building. Point C on the side of the building is 300 feet from A and 440 feet from B. Angle ACB measures 38 degrees. What is the distance from A to B?
*January 30, 2011 by Chloe Mack*

**PRE CALCULUS HELP PLEASE**

((ln(x))^1/2)/(ln(x^1/2))=6
*March 3, 2013 by jim*

**Pre-Calc-please check**

Please check this for me expand (3z-2b)^5 using Binomial Theorem (a+b)^n = n on top sigma in middle k=0 to right (n/k)a^(n-k)b^k (3a-2b)^5 = 5 on top sigma in middle k=0 on bottom(5/k)(3a)^5-k(-2b)^k (5/0)(3a)^5(-2b)^0+(5/1)(3a)^4(-2b)^1 +(5/2)(3a)^3(-2b)^2 +(5/3)(3a)^2(-2b)^3...
*January 4, 2012 by Bethany*

**Pre-calculus-check answers**

If f(x)=4x^2 and g(x)=2/x, find [g x f](x). Answer: -1/2x^2 2) Are f(x)=1/2x+5 and g(x)=2x-5 inverses of each other? Answer: no
*August 23, 2008 by Lucy*

**Pre-Calculus-check answers**

Use a sum or difference identity to find the exact value of sin 255 degrees Answer: sqrt6-sqrt2/4 Thanks
*August 30, 2008 by Lucy*

**Calculus (Check)**

This seems to easy. Check please. Find. Lim (x^2)-4 x->2 e I substitute in 2 (2^2)-4 e gives me 4-4 e So my answer is e^0 or 1.
*September 14, 2012 by Greg*

**Pre-Calculus-check answer**

Solve: x^2+y^2=10 and xy=3 Answer: (+/-3, +/-1) or (+/-1, +/-3)
*October 12, 2008 by Lucy*

**Pre-Calculus-Trig**

A lighthouse keeper 100 feet above the water sees a boat sailing in a straight line directly toward her. As watches, the angle of depression to the boat changes from 25 degrees to 40. How far has the boat traveled during this time?
*January 30, 2011 by Chloe Mack*

**pre-calculus**

Determine whether y is a function of x: x^2y-x^2+4y=0 Please help. Thanks.
*September 13, 2008 by Gina*

**Pre calculus **

f(x)={ x+5, if x>0 3, if x<=0 Graph the function can someone please help
*July 4, 2011 by HELP*

**pre-calculus**

WHAT DO YOU LEARN IN PRECALCULUS? PLEASE LIST.
*September 1, 2012 by Anonymous*

**Math (pre calculus)**

please simplify (1/1+x+h) - (1 /1+x ) divided by h
*February 6, 2014 by Danielle*

**Pre-Calculus**

Use substitution method to solve. (1/2x)+(3/4y)=(-1/4) and (3/4x)-(1/4y)=1 Can you please help?
*January 22, 2013 by Anonymous*

**Pre-calculus**

how to graph the polynomial function f(x)= -x^4 - 4x^2 by hand. Please Help!!!
*September 14, 2011 by Ashley*

**Pre-calculus**

fraction 1) 5/12+7/18-5/6 2) 3x/x-1-1/x=_____/x^2-1x 3) x+1/x^2-5x+6-3x+11/x^2-x-6= 4)2x^2-3x-1 5) 3x^2+2x-2 6) x^2-3x-9 4-5 with formula -B+_sqrt(B)^2+(-4)(A)(C)/2A please help!
*February 27, 2013 by Isis*

**Pre-Calculus-check answers**

Find the degree measure of the central angle whose intercepted arc measures 8cm in a circle of radius 15cm. Answer: -401.07 degrees
*October 11, 2008 by Lucy*

**Pre-Calculus-check answers**

Which of the following results in the graph of f(x)=x^2 being expanded vertically by a factor of 3 and reflected over the x-axis? a) f(x)= (1/3)x^2 b) f(x)= -3x^2 c) f(x)= (-1/x^2)+3 d) f(x)=(-1/3)x^2 Answer: d Thanks for checking my answers
*August 10, 2008 by Lucy*

**Pre-Calculus-check answers**

Write an equation of the tangent function with period 3pi/8, phase shift -pi/5, and vertical shift -2. Answer: y=tan(8x/3 - 8pi/15)-2 Thanks
*August 30, 2008 by Lucy*

**Pre-Calc**

Please check answer and help with one of them: 1. check please car in an accident speed of car is the s, d is length of skid=30 feet f is coefficient=0.5 use formula to find s=sqaure root of 30*f*d My answer is 21.21 because I took square root of 30(0.5)(30) 2. this one is ...
*September 18, 2011 by Ellie*

**Pre-Calc**

Please check answer and help with one of them: 1. check please car in an accident speed of car is the s, d is length of skid=30 feet f is coefficient=0.5 use formula to find s=sqaure root of 30*f*d My answer is 21.21 because I took square root of 30(0.5)(30) 2. this one is ...
*September 18, 2011 by Elllie*

**Calculus POSTS please check**

Please check my calculus posts. They are at the bottom. Thanks.
*September 21, 2011 by Anonymous*

**Pre-Calculus**

How do you confirm that f and g are inverses by showing that f(g(x))=x and g(f(x))=x ? Problem: f(x)=3x-2 and g(x)= x+2 --- 3 Please help, don't know where to begin?
*September 16, 2008 by House*

**Pre Calculus**

please explain the process of finding the complex zeros of f(x)=x^4+5x^2+4.
*October 18, 2008 by Lia*

**pre calculus**

Find a cubic function with the given zeros. -2, 5, -6 help me please
*June 3, 2014 by Nana*

**Pre-calculus-check answers**

Name all the values of x that are not in the domain of f(x)=2-x^2/x+5. Answer: x= -5 2)Find the minimum value of f(x,y)=2x-y+2 for the polygonal convex set determined by this system of inequalities: x >/= 1, x </= 3, y</=0, 1/2x+y</=5 Answer: -0.5
*August 23, 2008 by Lucy*

**Pre-Calculus-check answers**

Name all the values of x that are not in the domain of f(x)=2-x^2/x+5. Answer: x= -5 2)Find the minimum value of f(x,y)=2x-y+2 for the polygonal convex set determined by this system of inequalities: x >/= 1, x </= 3, y</=0, 1/2x+y</=5 Answer: -0.5
*August 30, 2008 by Lucy*

**pre-calculus**

3x^3 -2x^2 - 7x - 4 = 0 Can you please help teach me how to put this equation into the graphing calculator.
*September 8, 2009 by muffy*

**pre-calculus--Please help, urgent.**

For the function f(x)= 8/x+7,find the average rate of change of f from 1 to x.
*September 20, 2012 by ladybug*

**Trig/Pre-Calc**

Need help with current Trig problem for tomorrow: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. 6log3(0.5x)=11 I know to start off the equation you divide by 6. I know the answer is 14.988. I just am puzzled on how to receive the...
*May 16, 2011 by Eric*

**Pre-Calculus**

Please check my answer: I think it's correct? 1.Find polar form of (-3,2) r=sqrt of (-3)^2 + 2^2)=sqrt (13) = 3.61 tan^-1(2/-3) = 33.79 180-33.79 = 146.31degrees polar points are (sqrt13,146.31degrees) 2. Rectangular form of (3,112degrees) 3cos112= (-1.12) 3sin112=2.78 ...
*October 13, 2011 by Courtney*

**Pre-Calculus-Trig**

Two trains depart simultaneously from the same station. The angle between the two tracks on which they leave is 120 degrees. One train travels at an average speed of 45 mph and the other at 70 mph. How far apart are the trains after three hours?
*January 30, 2011 by Chloe Mack*

**pre calculus**

im having an brain freeze....i cant remember how to factor..f(x)=2x^2-7x-30..please explain so i can do it on my own
*August 27, 2009 by autiana*

**Pre calculus **

Please help me! Find the exact solutions to the quadratic equation in the complex numbers. (x-13)=-36
*July 3, 2011 by HELP*

**pre calculus**

find the average rate of change of f(x)=x^3-5x+3: a. from -6 to -3 b. from -1 to 2 c. from 2 to 8 I am so lost, can someone please show me how to do this?
*March 27, 2013 by courtney*

**Pre-calculus-check answer**

If cot theta =0.85, find tan theta. Answer: 1.176
*August 23, 2008 by Lucy*

**Pre-cal/Trig**

(tan/(1+sec)) + ((1+sec)/tan) = 2csc (Show all work please.)
*February 21, 2011 by Katherine*

**Pre-Calc-Please check my answer**

Please help-I'm stuck really bad Thank you for any help you can provide What are the roots of the equation x^2 -4x + 3 = 0 x^2 - 4x = 3 x^2 +2(-2)x + -2^2 = -3 = -2^2 x^2 + -4x + 4 = 1 (x + -2)^2 = 1 qrt (x+-2)^2 = sqrt 1 x+-2 = plus or minus 1 therefore x=1 x=3 roots are 1 ...
*September 6, 2011 by Sheila*

**Pre-Calculus-Trig**

A pole tilts 12 degrees from the vertical, away from the sun, casts a 34 foot long shadow on level ground. The angle of elevation from the end of the shadow to the top of the pole is 64 degrees. How long is the pole?
*January 30, 2011 by Chloe Mack*

**Pre-Algebra**

Can someone please check if I answered these 3 questions correctly? Find three solutions: 1.x - y= 7 (10,3) (14,7) (8,1) 2.2x + y= 10 (2,6) (4,2) (5,0) 3.y=3x (2,6) (9,3) (15,5) Thanks! -MC
*May 7, 2009 by mysterychicken*

**Pre-calculus**

I want to make sure this is right. the inverse of f(x)=(-3x+2)/(2x-1) I got f^-1(x)=(x-2)/(2x-3). if its right how do i check the answer to see if it is right. also would the domain of f be D=all real numbers except 1/2. And I do not know how to get the range for f^-1
*December 4, 2011 by nessa*

**Pre-Calculus**

Could you please explain how to use a matrix (matrices) to solve a system of linear equations (two variables)? My book doesn't explain it in a way I can understand. Please and thank you.
*January 24, 2013 by Caroline*

**Pre CALCULUS**

How many real solutions does the equation x+5=x have? Please explain your answer to the best of your abilities thanks :)
*September 11, 2010 by Jack*

**PRE CALCULUS **

How many real solutions does the equation x+5=x have? Please explain your answer to the best of your abilities thanks :)
*September 12, 2010 by Jack*

**pre-calculus**

please help me with thisone thanks solve the inequality algebraically. Express the solution in interval notation. (x-8)^2/x^2-36 > 0
*March 1, 2011 by dave*

**Pre-calculus; urgent ! Please help !**

Find the inner product of a and b if a= (3, 0, 1) and b= (4, 2, 5), and state whether the vectors are perpendicular.
*February 20, 2013 by Becca*

**pre calculus**

what is 36.1 and 50.8 rounded to three decimal places? I was never really good at this stuff....please help!
*April 22, 2013 by terry*

**Pre-Calculus**

I've tried to simplify this a million different ways, but I can't seem to get the right answer. Please help. ((1/(x+h)^3)-(1/x^3))/8h
*September 18, 2013 by rocky*

**pre-calc/ trig**

Sinx=0
*October 15, 2013 by Amy*

**Pre-Calc/Trig**

Please help-I'm stuck really bad What are the roots of the equation x^2 - 4x + 3 = 0 I think I was suppose to use b^2 - 4ac so it would be -4 - (-4)*1*3 = 12 so the roots would be 12 and -12 Thank you for any help you can provide
*September 6, 2011 by Sheila*

**Pre-calculus-check answers**

Choose the statement that is true for the graph f(x) =x^3-12x. Answer: f(x) decreases for x >-2 2) Which type of critical point, if any, is present in the graph of f(x)=(x-4)^5+1 Answer: none
*August 23, 2008 by Lucy*

**Pre-Calculus - Reiny**

Reiny you helped me with this logarithm yesterday: How did you write it out as log2 ( √A / B^3 ) Laws of logarithms combine, write as a single logarithm Need help on this question please, Im stuck, dont know where to go abouts from here: I did it on paint and uploaded it...
*October 17, 2012 by Shreya*

**Pre-Calculus**

Simplifying Complex Fractions [(x+3)/12] / [(4x-5)/15] [(x+3)/12] x [15/(4x-5)] (x+3)5/4(3x-5) (5x+15/12x-20)<-- final answer Did I do this right. If not could you please explain how to do it correctly
*February 27, 2013 by Caroline*

**pre calculus please help **

Find all solutions of the equation tan^5 x - 9tan x =0. The answer is Ak\pi where k is any integer, the constant A=???
*April 14, 2013 by james*

**Pre-Calc-Please check my answer-I think its correc**

Could someone please check these-I had tried one last night but it was really wrong so I'm been working-hopefully these are correct. What are the roots of the equation and answers have to be simplified 2x^2 + 5x-10 =0 2x^2 + 5x-10+10=0+10 2x^2 + 5x = 10 2x^2 + 5x/2 = 10/2 2x^2...
*September 7, 2011 by Sheila*

**Pre-Calculus**

I'm trying to finish up my pre-cal homework and I am stuck on 2 problems... ***determine the intervals over which the function is increasing, decreasing, or constant*** 32. f(x)=x^2-4x 33. f(x)=√x^2-1 (that's square root of x^2-1) thank you so much for the help =)
*September 17, 2011 by Cristina*

**Pre-Calculus**

I'm trying to finish up my pre-cal homework and I am stuck on 2 problems... ***determine the intervals over which the function is increasing, decreasing, or constant*** 32. f(x)=x^2-4x 33. f(x)=√x^2-1 (that's square root of x^2-1) thank you so much for the help =)
*September 17, 2011 by Cristina*

**Pre-calculus need help!!**

Quadratic Formula 1.) x+6/x=-7 2.) 4x/x+4 + 3/x-1 = 15/x^2+3x-4 3.) x+3/x - 2/x+3 = 6/x^2+3x formula: -B+ sqrt B^2 + (-4)(a)(c)/2a f u only wanted to use the formula it's not necessary though. please help me! it's going to pass tomorrow!! please!
*February 18, 2013 by Isis*

**Pre-calculus-check answers**

Write the slope-intercept form of the equation of the line that passes through the point (-5,4)and has a slope of -1. Answer: y=-x-1 2)Solve the system of equations algebraically: 1/3x+1/3y=1 and 2x+2y=9 Answer: no solution
*August 23, 2008 by Lucy*

**Pre Calculus Repost Please Help**

Can someone help me solve this problem: cos^2x + 5cosx - 2= 0 I am having some trouble finding x
*February 5, 2009 by Anonymous*

**Pre-Calculus**

It may look lame but I can't work out how to solve (-9) sqrt(4-x^2) = 4x + 5sqrt2. I need some guidance, please.
*November 20, 2011 by Helga*

**pre calculus**

Solve the exponential equation Express you solutions in exact form only Please show your work e^2x - 9e^x - 20 = 2
*December 20, 2011 by anon*

**pre calculus**

solve the following equation in the complex number system Please show all your work. 5x^5 + 32x^4 - 5x - 32 = 0
*December 21, 2011 by Michelle*

**pre-ap pre calculus **

To solve an equation by finding x-intercepts, Cynthia graphed the function y=x^3-5x+|2x-3| Give several possibilities for the original equation. How do I do it and what's the answer? Thanks
*September 8, 2009 by Anonymous*

**Pre-calculus**

Find the minimum value of f(x, y) = y x + 1 for the polygonal convex set determined by this system of inequalities. x > 0 y > 0 2x + y< 4 the answer is -1. please tell me why
*April 10, 2012 by brandi*

**Pre-Calculus**

How is -16/(4x+6)^5 and -1/(2(2x+3)^5) equivalent? I think -1/2(2x+3)^5 is the more simplified version of the two, but I just can't figure out how -16/(4x+6)^5 simplifies to -1/(2(2x+3)^5). please explain
*November 3, 2013 by Ann*

**Pre Cal Check**

focus: (0,p) vertex: if not given, then it is assumed (0,0) Directrix: k+p or k-p, i'm not sure I think these are the general equations for the focus, vertex, and directrix of a parabola, but i'm not sure. could someone please check this? thanks.
*February 25, 2007 by Marie*

**Pre Calc , Math**

Find the 6 Trig ratios of -7Pie/3
*January 2, 2011 by Joe Daddy*

**Pre-Calculus-Trig**

A boat travels for 8 kilometers in a straight line from the dock. It is then sighted from a lighthouse which is 6.5 kilometers from the dock. The angle determined by the dock, the lighthouse(vertex), and the boat is 25 degrees. How far is the boat from the lighthouse?
*January 30, 2011 by Chloe Mack*

**pre algebra**

Mr Chee deposited $80 into his checking account. Then, after writing a $23 check for gas and a $90 check for his child's day care, the balance in his account was $67. How much was in his account before he made the deposit? How would you solve and check the answer?
*February 1, 2011 by Amber shall*

**trig**

How do you solve cos(2arcsin 1/4) using inverse trig. functions??!! PLEASE HELP ME!
*May 9, 2011 by Tor*

**Pre-calc, Algebra, Trig**

(2x squared-3x +1)(4)(3x+2)cubed (3)+(3x +2)raised to the 4 (4x-3) Simplify
*January 20, 2009 by Josiah*

**trig**

I don't know to find the derivative of the following trig functions. Please help. f(x)= cotx h(x0= secx i(x)= cscx
*January 19, 2012 by Claire*

**trig**

I don't know to find the derivative of the following trig functions. Please help. f(x)= cotx h(x)= secx i(x)= cscx
*January 19, 2012 by Claire*

**Pre Calculus 12**

Im going over my pre calculus 12 exam, and I need help with one question from the chapter Transformations of graphs and stuff. Combining Transformations 2y = f(5x-10)+8 The original points are (4,6) and the new points I got by translating it and stuff are : (14/5,20) But in ...
*January 22, 2013 by Shreya*

**Pre-Cal(Please check)**

sqrt2 /10 Do I just leave this as sqrt2/10 or can I reduce it to sqrt1/5?
*March 11, 2010 by Abbey*

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