Monday

January 23, 2017
Number of results: 141,457

**Math**

We have an important chemsitry test due and I want to make sure that I do not mess up on my algebra. I am dealing with the integrated rate law, but my question is purely algebraically in nature. I hope, somebody can help me. 1) ln(A) = -kt+ln(B) solve for t solve for k solve ...

*May 13, 2013 by Yasemine*

**English**

1. He can not solve the math problem. 2. He cannot solve the math problem. 3. He can't solve the math problem. 4. He could not solve the math problem. 5. He couldnot solve the math problem. 6. He couldn't solve the math problem. (Are they all grammatical? What about #5? Is it ...

*July 16, 2013 by rfvv*

**MATH PLEASEEEEE**

I have a question, if f(x)=x/2 and g(x)=3x+1 find: a) (f+g)(x) i know you go x/2+3x+1. but how do i solve that?? b) (f-g)(x) i know you go x/2-3x+1, how do i solve? c)(f*g)(x) how do i solve? (f/g)(x) how do i solve?? f(g(x)) how do i solve?? thanks for your itmeee

*December 16, 2008 by Jamie Lynn*

**math**

actually, in a addition to the question i posted a few minutes ago, can someone please help me with a few actual specific questions? thanks so much i'm very confused and i've been working on these all day. *Literal Equations* ~solve for x ax + bx = 8ab ~solve for y my - ny = m...

*October 26, 2007 by kim*

**English**

I'm worried about my math. 1. Why don't you buy a math self- teaching book and solve math problems a lot. 2. Why don't you buy a math self-study book and solve math problems a lot. 3. Why don't you go to a math academy and study math more? 4. Why don't ask your brother to help...

*March 4, 2016 by rfvv*

**Math**

Solve by eliminnation methods 2x-4y=5 2x-4y=6 solve the system by elimination method 5x+2y= -13 7x-3y=17 Solve x+6<-7 or x+6>4 Determine whether the given numbers are solutions of the inequality 8,-10,-18,-3 y-8>2y-3 Solve by the substitutioj method 2m+n=9 m-5n=10

*July 14, 2008 by jay jay*

**MATH PLEASE HELP!**

Solve each system 3x+2y= -2 9x- y= -6 I know how to solve for x but i get really lost trying to figure out how to solve for the second variable

*September 11, 2008 by Rachel*

**Math**

Solve for S: r^2s-5s=7. Solve for b: L= 4a^2b. I'm confused about how to solve these problems. Could someone show me the steps?

*September 12, 2011 by Sue*

**Alebra**

Solve 5m - 8 > 12 Solve 12 - 3a > 18 Solve 5m - 4 < 2m + 11 Solve 2r - 18 ≤ 5r + 3 Solve 26p - 20 > 14p + 64 Can someone give me an example to one of these? I don't know how to do these.

*December 19, 2016 by Jessi*

**math**

Solve systems by substitution 5x - 2y = -5 y - 5x = 3 Substitute 5x + 3 for y in the first equation, and solve it for x. Once you have x, use either of the two equations you wrote to solve for y.

*August 8, 2007 by Robin*

**math**

solve for the indicated variable: a. temperature formula solve for F: K=5/9(F-32)+273 b. annual interest rate solve for R: A=P+Prt can you please show how to do these? thanxx =)

*September 24, 2009 by narmin*

**Math - Algebra**

Simplify and solve for x=2 and y=5. Please remember to group like terms. 1. 3x - 2y + 4x -3y 2. y + x - y - x 1. 3x2 - 2x5 + 4x2 - 3x5 6 - 10 + 8 - 15 2. 5+2-5-2 7-5+2 yah i think that's how to solve it, basically sub in the x and ys and solve

*May 17, 2007 by Taariq*

**Math Analysis**

6. Prove that f(x) = (3/4)x^4 + 2 and g(x) = (4sqrt(108x-216))/3 are inverses. I know you solve it with composite functions f(g(x)) and g(f(x)), and I solved f(g(x)), but I can't seem to solve g(f(x)) to equal x, like it should. Can someone show me how to solve this? Thanks :)

*October 24, 2009 by Emily*

**math**

solve each equation for 0=/<x=/<2pi sin^2x + 5sinx + 6 = 0? how do i factor this and solve? 2sin^2 + sinx = 0 (2sinx - 3)(sinx +2) sinx = 3/2, -2 how do I solve? These are not part of the special triangles. 2cos^2 - 7cosx + 3 = 0 (2cosx - 1)(cosx - 3) cosx = 1/2, 3 x= pi...

*February 15, 2009 by sh*

**Math**

Solve P=P(base 0)e^kt Solve for t? I have no idea how to solve this

*October 17, 2014 by Eiban*

**Math**

1. Solve the equation. -6g = 42 a. g = 7 b. g = -7 c. g = 252 d. g = -252 2. Solve the equation. x/8 = 16 a. x = 128 b. x = 24 c. x = 8 d. x = 2 3. Solve the equation. 12m = 14.4 a. m = 120 b. m = 12 c. m = 1.2 d. m = 0.12 4. Solve the equation. x/3 = -15 a. x = 45 b. x = -45 ...

*September 1, 2015 by Malasia*

**Math**

Factor the polynomial P(x)=x^3-2x^2-13x-10. Then solve the equation P(x)=0. This is what I got: P(x)=(x+1)(x^2-3x-10) P(x)=(x+1)(x-5)(x+2) When it says solve the equation P(x)=0 does it means solve for x? If so then x=-1 or 5 or -2 Correct??? please and thank you

*April 3, 2012 by Anonymous*

**Math help please**

1. Solve for x. 4(x - b) = x b = 4/3x b = 3/4x x = 4/3b x = 3/4b 2. Solve for y, then find the value of y when given x = 2. 6x = 7 - 4y -12 7/4 19/4 24 I need help solving these. Can you please explain how to solve these problems?

*October 2, 2013 by Charlotte*

**Math**

Use your knowledge of exponents to solve. a) 1/2^x=1/(x+2) b) 1/2^x>1/x^2 So I know that these functions are rational functions.. and I am trying to solve for x. I tried to solve them by I keep getting stuck with the exponent 2 which is the exponential function.. Help please

*June 7, 2009 by Halle*

**math**

Eight subtracted from six times a number is -134. What is the number? A) Translate the statement above into an equation that you can solve to answer this question. Do not solve it yet. Use x as your variable. solve for x

*February 21, 2013 by kelly*

**Math**

I just don't understand this question: h(t)=A*b^x h(3)=4 h(5)=40 Solve for b Would you plug 3 into the x and set it equal to 4? (4=A*b^3) How would you solve for that because in the next question they go on to ask you to solve for A using the b you found... Almost looks like ...

*August 30, 2006 by Nicole*

**Math**

Solve the system by addition or substitution. 3x – 4y = 8 6x – 2y = 10 Please get me on the correct track for 3x -4y =8 x=4, y=1 for 6x - 2y =10 x= 2, y= 1 Solve one equation for x. 3x = 4y + 8 x = (4y + 8)/3 Insert that value for x in the other equation and solve for y. ...

*May 20, 2007 by Amanda*

**algebra**

Solve the indicated variable: 1. Volume of a cone: solve for h: V=¨ir^2h/3 2. Temperature formula: solve for C: F=9/5C+32 pleaseeeee help me solve these! plzzz! i have nooo idea how to do these. THANKS! =)))

*September 20, 2009 by kitty kat*

**Math check please**

1. Solve the system of equations y=2x^2-3 y=3x-1 a)no solution b)(-1/2,5),(2,-5/2) c)(-1/2,-5/2),(2,5)**** d)(1/2,5/2),(2,5) 2. How many real number solutions are there to the equation 0=-3x^2+x-4? a)0 ***** b)1 c)2 d)3 3.solve the equation by completing the square. if ...

*March 19, 2015 by Kendra*

**Math**

How do I solve these problems, I really need help. Solve by substitution method 6x+5y=17 x=53-8y Solve by elimination method 2x+3y=5 4x+6y=10

*October 17, 2008 by Amy*

**math**

please anwer these: 1) how can i multiply and divide polynomials containing radicals? 2) how can i solve radical equations? 3) how can i solve qudratic equations by factoring ? 4) how can i solve quadratic equations graphically ? thank you !!!!!

*August 13, 2014 by chen*

**math**

how would I solve 10=7-m? I don't understand how to find the variable and I use flowchart!none of my math books show me how! so how can I solve problems like these?

*January 11, 2013 by Emi*

**Math #2**

If I had a math problem 2x^4 x y^-4 x z^-3 / 3x^2 x y^-3 x z^4. In simpler terms it would look like this: 2x^4 X y^-4 X z^-3 ------------------- 3x^2 X y^-3 X z^4 When I tried to solve this I got 6x^2 X y^-1 X 2^-7. Am I correct? If not could you please help me on how to solve...

*November 26, 2013 by Nicole*

**English**

1. However brilliant she is, she won't be able to solve this math problem. 2. However brilliant she may be, she won't be able to solve this math problem. 3. No mater how brilliant she is, she won't be able to solve this math problem. 4. No matter how brilliant she may be, she ...

*March 2, 2011 by rfvv*

**Math**

How do you solve for d? 16d - (4 - 5d) = -67 How do you solve for m? 2/7(4m - 18) = 12 How do you solve for b? 1/4(5b + 11) = 19 How do you solve for x? -5/6(9 + 2x) = 40

*September 26, 2013 by DIana*

**Math: ALGEBRA**

How to solve this??? Solve for x. a+b= a+xy Solve for w. 2w+2h+L=p Solve for r. r(s+t)=u

*October 8, 2014 by Matt*

**English**

1. I got a C- on the math test. Reading: C - : C minus (right?) 2. The math problems are difficult to solve. 3. The math questions are difficult to solve. ------ Are both OK?

*June 21, 2014 by rfvv*

**math**

solve the following trig equation : 7 = 8sin(1/2)x. I can solve this using the half-angle indentity. But i need to solve this using period and phase change equation. how do i do this?

*April 16, 2008 by shan*

**math**

1.solve for p 3(p+q)=p A.q=-2/3p B.q=-3/2p C.p=-2/3q D.p=-3/2q 2. solve for b then find the value of b when a=3 4a=2b-7 A.-9/2 B.5/2 C.19/2 D.17 3. solve for r d=rt A.r=dt B.r=t/d C.d/t D.r=d-t 4. find the width of a rectangle with a perimeter of 90 and a lenth of 15. A.90 B....

*September 15, 2016 by oto*

**Algebra**

Solve for x: h=(k/4)(x-3L) Solve for B: v-6Bxk=7B Solve for S: z+(1/7)sk=(1/6)yk^2 Solve for x: 3F=10hx+10hv+10xv

*February 13, 2014 by Daniel*

**math 12**

i got the wrong answer from the back, and i know that imnot dooing it right. please try to help me on this hard question. THE ANSWER WAS:16 solve the equation: 3log(x-15)= (1/4)^x i don't know how to solve it algerbrically. the teacher doesn't want us to solve it graphically. ...

*June 2, 2011 by kajal*

**Math check 2**

Solve: (t+24)/(t^2-t-56)+7/(t-8)=3/(t+7) I do know that (t^2-t-56) can be factored out to (t-8)(t+7) so I have the equation as (t+24/(t-8)(t+7) +7(t+7)/(t-8)(t+7)-3(x-8)/(t-8)(t+7) (t-24) + 7(t+7)=3(t-8) solve for t. The choices are: a.)-97/5 b.)122/5 c.)-13 d.)-13/5 Math ...

*October 12, 2008 by Shawn*

**Math- Algebra**

hi wat method would i use and how would i solve this system of equations x^2+xy=3 3x^2+2xy-2y^2=7 In your first equation, solve for y... you should have xy= -x^2+3... divide this by x... so y = x^2+3/x plug what you solved for y into your second equation and then solve for x

*May 21, 2007 by Anonymous*

**How do I do this.?(Math.)**

Use the Substitution method to solve the system of equations. y - 2x = -5 3y - x = 5 Solve one of the equations for x or y. Let's solve the first one for y: y - 2x = -5 y = 2x - 5 Now let's substitute 2x - 5 for y in the second equation to solve for x: 3(2x - 5) - x = 5 6x - ...

*February 5, 2007 by Margie*

**Math Homework**

Hello! I need help with these math questions, thanks! :) 1.) Solve the system by substitution. 5x + 2y = -17 x = 3y 2.) Solve the system by substitution. x/3 + y = 4/3 -x + 2y = 11 3.) Solve the system by elimination. 2x - 3y = 0 2x + 6y = 3 4.) Solve the system by elimination...

*December 7, 2013 by Beni*

**Help, Math.**

Solve: 3e2x + 2 = 50 a. ln 8 b. ln 0.25 c. ln 14 d. 0.5ln 16 --------- Solve: 1 = 7 ex a. ln 1/7 b. ln 1/7 c. ln 7 d. ln 7 ------------ Solve: e3x = 8 a. ln 5 b. 3 ln 8 c. ln 8 3 d. ln 3 8 ---------- ln 1 √ e a. -√e b. -1 2 c. 1 e d. 1 2

*May 21, 2013 by Holly*

**Math**

HOW WOULD I SOLVE SOMETHING LIKE THIS, IT IS AN EXAMPLE I MADE UP. ITS SIMILAR TO THE ONE I HAVE. I DON'T GET IT. THERE ARE TWO UNKNOW VARILABLES AND SOME NUMBERS. HOW DO I POSSIBLE SOLVE THIS. MAYBE I DON'T HAVE TO SOLVE ANYTHING THAT IS WHAT I WAS THINKING. QUESTION: 2x^2-...

*February 1, 2007 by Sammy*

**bobpursly,.math**

Ok, assume it equals zero. 2x + 3y -6=0 subtract 3y from each side. add six to each side. divide both sides by two. its how its in the book i'm suppost to solve for x. but how? How do I solve for the following: Directions solve each literal equation for the individual variable...

*December 19, 2006 by bobpursley*

**math correction**

solve: x -8 = 4 + 8 +8 x = 12 my answer is x = 12 solve: 80 = 10x -- --- 10 10 8 = x my answer is x =8 solve: 3x= -12 -- --- 3 3 x = -4 my answer is x = -4 Solve: 12 -3x = 9 -12 -12 -3x = -3 --- --- -3 -3 x = 1 my answer is x = 1 ok on all of them.

*January 11, 2007 by jasmine20*

**Math**

I need help with these three problems. They are on a Study Guide and I need some refreshing up of how to do them. 17. Solve the equation using the zero product property... -8n(5n+3) 19. Solve the equation by factoring 5z^2-2z-3=0 20. Solve the equation by completing the square...

*May 26, 2009 by Amy*

**math**

I need help with these three problems. They are on a Study Guide and I need some refreshing up of how to do them. 17. Solve the equation using the zero product property... -8n(5n+3) 19. Solve the equation by factoring 5z^2-2z-3=0 20. Solve the equation by completing the square...

*May 26, 2009 by Amy*

**Math**

I need help with these three problems. They are on a Study Guide and I need some refreshing up of how to do them. 17. Solve the equation using the zero product property... -8n(5n+3) 19. Solve the equation by factoring 5z^2-2z-3=0 20. Solve the equation by completing the square...

*May 27, 2009 by Amy*

**math**

1. solve by using the quadratic formula. 5x^2+x=3 2. solve by completing the square. x^2=5x+2 3.solve by using the square roots method. 5(x-2)^2=3

*March 30, 2008 by mary*

**Math**

You are a letter and now your in a math problem explain to the numbers what your purpose is, how you are a friend, and how you solve algebra problems. Create a math problem and solve it. Use the letter and the number as the characters. Please tell me that this is not a ...

*May 2, 2007 by Jordan*

**Math**

Hi again, I don't know how to solve this problem. cube root of(cube roof of(x-1)-1) It would be ninth root of 1/(x-1) Thank you. Do you think you can explain to me how did you solve it? what are your feelings about math, rate your math anxiety, and describe what coping ...

*March 3, 2007 by Lisa*

**math 123**

solve the equation by factoring 3x^2-8x-3=0 (3x+1)(1x-3)=0 Now solve each for zero: 3x+1=0 and 1x-3=0 Lance can you help me.?

*February 20, 2007 by jonni*

**Math**

how do you solve this system? I'm using substitution.. y=3x+4 y=-x^2 First I combined it: -x^2=3x+4 I don't know how to solve it now..

*May 6, 2009 by Angie*

**math-calculus**

solve 3|x-8|=2x+7 i not get how to solve this the 3 infront of absolute value bracket confusing me.

*January 17, 2012 by Shreya*

**Math**

Solve for x. .006x^3=8889 x = approx 114, but I don't understand how to get that answer. Can anyone help me solve? Thank you!

*June 7, 2012 by Francesca*

**math. solve for t**

1/1024=42*0.5^(t/12.5) Solve for t. Please show work. Much appreciated!

*October 13, 2012 by Kyle*

**Math**

How do you write an equation to solve for x when you have a rectangle that is 7 for height and 3x - 2 on length and how do you solve for x?

*September 26, 2013 by SAm*

**math**

Solve the linear system graphically (Dont graph it just solve it) x+ 2y = 8 3x+ 4y = 20

*December 16, 2014 by Laura ♥*

**Math**

Solve the following systems of equations: -2x+y=1 -4x+y=-1 (3,1) (-1,3) (-1,-3) (1,3) Could someone please help. I'm confused on how to solve this. Thank you!

*December 3, 2015 by Mason*

**math**

Please help me solve the following. Thanks, Write m^p = q using logarithms. Solve (1/e)^2x = 14

*November 28, 2007 by Scott*

**Math**

Solve each literal equation for the indicated variable. 4x-5y=10 for y (the answer is y=4/5x-2) How do you solve this?

*February 5, 2010 by Brad*

**math**

solve: 4+8 1/2 -:- (1/4) to the third power. solve -11-(x+30)=-41-2 (5x-18) please show your work

*July 18, 2011 by keshia*

**math**

how do u solve a unit rate problem using proportions to solve

*January 26, 2012 by Ch*

**math/cal/trig solve for t**

solve for t: 0=4sin(2t)cos(2t)-sin(2t)

*February 27, 2012 by Lucy*

**Math**

Solve: (don't forget about imaginary numbers) 5x^2-7x+12=0 how do I solve this? please help and thank you

*March 12, 2012 by Anonymous*

**Math situations**

please help me solve Use the quadric formula to solve 2x^2-3x=-6

*March 31, 2012 by Sandra M*

**Math**

(a^6 x a^6)^k = (a^3)^(k+5) Solve for k. a. 3/2 b. 5/3 c. 2 d. 3 e. 5 I think when simplified its (a^12)^k = (a^3)^(k+5) but i don't know how to get k from here. How do you solve for these kind of exponents?

*August 13, 2012 by Anonymous150*

**Math..solve for u**

Solve u-2[2=3 [ is square root. Please show work

*October 13, 2012 by jasmin*

**math**

72 is what percent of 480? Write and solve an equation to solve the problem

*November 29, 2012 by alex*

**math**

using the interest formula A=P(1+r/n), solve for the indicated variable. solve for P

*March 5, 2014 by ann*

**Math**

How do I solve an inequality like this? -4x-8>4, I know that answer is 3 but every time I solve it I get 1 .

*June 10, 2014 by sakura yuki*

**math**

Solve the set of linear equations by the matrix method : a+3b+2c=3 , 2a-b-3c= -8, 5a+2b+c=9. Solve for a

*April 2, 2015 by azeez*

**math**

solve: −4≤2x+6<18 i don't know how to solve this kind of problem with symbols??

*August 6, 2016 by Kenny*

**Math**

Solve the set of linear equations by the matrix method. a+3b+2c= 3, 2a-b-3c= -8, 5a+2b+c=9, solve for a

*November 23, 2016 by Tunde*

**math 117**

please help me solve Put this in scientific notation: (3000)(20000) Solve: (3*10^5)(7*10^3)

*December 8, 2008 by Julissa*

**math**

I'm struggling with this problem and can't find a good example in my book of how to solve. solve for y y-1/x-0=-3 thanks in advance

*May 24, 2010 by Jarzine*

**math**

how to solve a prism with a square base that has a height of 45cm and its volume is 72000000cm^3. how do I solve it?

*September 29, 2010 by asia*

**gr 10 math**

Solve using the quadratic formula. a) x^2 - 7x + 12 = 0 a = 1 b = -7 x = -b +/- the sr of b^2 - 4ac /2a 7 +/- the sr of -7^2 - 4(1)(12) /2a 7 +/- the sr of -49 - 48 /2a 7 +/- the sr of -97 /2a 7 +/- 97 /2a -90/2=-45 -104/2= 54 The roots are -45 and 54. did i solve this correctly?

*May 31, 2011 by Rebecca*

**Math**

Solve for x: x^4-15X^2+14=0 How would I solve this problem? Could someone please show me the steps?

*January 10, 2012 by Emma*

**Math**

I have to solve the equation by finding a common base. 9^(x2-1)= 1/27^x Do i cross multiply and solve for x?

*February 4, 2012 by kim*

**math**

Solve the equation. 5 1 -4 2 -3 -5 X= 5 7 2 -6 2 5 The numbers are supposed to be matrices. I'm not sure how I would solve the problem

*October 30, 2013 by Anonymous*

**math**

If P^0.223 =1 + P^0.123. Solve for P. Note:only a genius can solve this. Best of luck

*March 16, 2014 by ogboyeb*

**math**

helo sir/madam can u help me to solve this problem sOLVE 2log 15 +log(5-x)- log4x=2

*April 15, 2014 by fizz*

**Math**

1. x/y=a/b ; solve for Y. Does anyone know how to solve this? I believe you gotta cross multiply but I'm lost from there. any help would be great. Thank you!

*March 7, 2016 by Tim*

**Math Algebra 2**

Help please. I know how to compute for the rest mass but how can you solve this problem. Solve for v in m = m0/(sqrt of 1 - (v^2/c^2)

*April 4, 2016 by Anonymous*

**Math Algebra 2**

Help please. I know how to compute for the rest mass but how can you solve this problem. Solve for v in m = m0/(sqrt of 1 - (v^2/c^2)

*April 4, 2016 by Anonymous*

**math**

is these answers correct? solve the equation: 2x^2 +8x - 17=(x +2)^2= x=-7,3 solve (v-5)^2-63=0, where v is a real number, simplify answer as much as possible. v=3 square root 7+5,-3 square root7+5 v``12.93725, -2.937254 use the quadratic formula to solve for x. 4x^2x-4=0 =x=1...

*October 31, 2010 by lee*

**Math help!**

I don't understand this. Solve -5x - 6 = -6x^2 Rearrange to 6x^2-5x-6=0 (3x + 2)(2x - 3)= 0 Set each factor equal to zero and solve for x. I hope this helps.

*June 25, 2006 by Steven*

**math**

Solve for each system and equations. y=-x-2 y=3x+2 set -x-2=3x+2 solve for x. thanx i was minusing 2 instead of adding two thanx alot

*December 17, 2006 by Tony*

**math**

can someone solve this h/2 > 12 Treat the inequality just like an equation and solve. I hope this helps. Thanks for asking.

*May 29, 2007 by mike*

**Math**

I need to show how to solve this: Question - 50.50/ 0.5 The calculator shows the answer 101.00 Can you tell me how to solve it?

*September 29, 2008 by Cindy*

**math**

Solve the equation by using the square root property. Simplify all radicals. 2x^2 = 11 how do I solve this?

*December 3, 2011 by mandy*

**Math**

Use properties of equality and numbers to solve each equation for x. A. 7+3x = 5x + 13 how am i suppose to solve i am kind of confused?!?!

*April 3, 2012 by EmilyMay*

**Math**

f(x)=3/(x+1) g(x)=(x^3)/5 h(x)=x^2+7x+10 a. f(x)=10 b. f(x)=g(x) c. g(x)=h(x) d. f(x)=h(x) I am told to solve the equations, but the term "solve" is so vague. I don't know what I'm doing. Please help lead me in the right direction. Thank you.

*January 24, 2013 by Morgan*

**Calculus math**

how do i solve these quadratics? c=10000 9a+3b+c=7975 36a+6b+c=6400 im unsure of how to solve as a and b are unknowns...

*May 21, 2015 by Dg*

**Math**

108 is 46% of what number? Write and solve a proportion to solve the problem. I think it's 38 correct me if I'm wrong

*January 16, 2016 by Estephania*

**math**

Write and solve a real-world problem that you can solve by using objects or drawing a picture.

*February 25, 2016 by anton*

**Math**

How do you solve this problem S=2brh+2br(squared) solve for h

*August 27, 2007 by Nicole*

**Math/Algebra**

Solve by elimination. Please me solve this equation. x + 7y = 37 -x + 8y = 38

*June 29, 2008 by Meia*

**Math**

Solve each formula for the indicated variable V=xr^2h solve for h. HElp please.

*September 29, 2008 by Larry*

**Math**

h=at-.25vtsquared ,solve for a Please help me, I have no idea how to solve!

*October 4, 2009 by Petronella*