Mathematics

Variance and Standard Deviation of a Random Variable

Could someone here maybe explain the answer to this question, and how you got that answer? Before planting a crop for the next year, a producer does a risk assessment. According to her assessment, sh

Inverse laplace transform using convolution theorem

can some one please find L^-1[16/((s-2)(s+4))] by convolution theorem-The Laplace transform of an exponential function known as: ℒ{ e^(-a∙t) } = 1/(s + a) So your transform can be written as product

How do I find the intersection point of these two lines

L1 =(4+2t)i + (3-2t)j + (-7-4t)k L2 =(t1)i + (3+3t1)j + (1-2t1)k-If they do intersect, there will be a pair of values for the parameters t and t1 that product the same x, y, z triple. Im gonna call th

How do you solve log (x+2) + log (x-1) = 1

Hopefully log is base 10. I will assume this. log(x+2)+log(x-1)=1 log((x+2)(x-1))=1 log(x^2+x-2)=1 10^1 = x^2+x-2 x^2+x-2=10 x^2+x-12=0 This is easily factored to (x-3)(x+4)=0 x=3, -4 But try insert

Math question please

The ratio of the side lengths of a quadrilateral is 6:2:3:7, and its perimeter is 126 meters. What is the length of the shortest side?-Note that 6 + 2 + 3 + 7 = 18 and 126/18 = 7 Therefore, the short

Math 11 - Tangent and circle question WITH IMAGE

PQ and PR are tangent to circle O. Write y as a function of x. O is the center. How do I get the answer? http://i52.tinypic.com/2wptkpg.jpg The answer is y = 2x - 180 Thanks!-angle PQO = angle PRO

Solve this equation 3^(2x+2)-3^(x+3)-3^x+3=0

3^(2x+2)-3^(x+3)-3^x+3=0 3².3^2x - 3³.3^x - 3^x + 3 = 0 9.3^2x - 27.3^x - 3^x + 3 = 0 9.3^2x - 28.3^x + 3 = 0 let t = 3^x ( t > 0) equation 9t² - 28t + 3 = 0 t = 3 --> 3^x = 3 --> x = 1 t - 1/9 -->

What statement is sometimes, but not always, true? Why

A. The inverse of a quadratic function is a function. B. The inverse of a cubic function is a function. C. The inverse of a logarithmic function is a function. D. The inverse of an exponential functio

How do you work out x^2 + 3x - 10 = 0 (ten points)

can you show the working out please?-Factorise it 3x can split up into 5x and 2x i.e 3x = 5x - 2x Place above in equation x^2 + 3x - 10 = 0 x^2 + 5x- 2x - 10= 0 x ( x+ 5 )- 2 ( x + 5 ) = 0 (x+

How do you find the length of the radius, and the centre of this circle

(2x-3)^2 + (2y-5)^2 = 36 For the radius, Id usually square root the 36, but because of the 2 in front of the x and y, then I cant seem to figure it out. My text book at the back says (according to th

Test series for absolute convergence

1 - (1*3)/3! + (1*3*5)/5! - (1*3*5*7)/7! + .... + (-1)^(n-1)[1*3*5...(2n-1)]/(2n-1)! It appears it would be absolutely convergent, because all of the odd factors would cancel out with the factorial i

Would it be possible to study year 8 to 12 mathematics in half a year

(including NSW HSC Maths Ext 1)-Maybe. It depends a lot on your intuition. To some people, most high school math is completely obvious (solving algebraic equations; geometry proofs) or so simple they

Please Help!!! Not good with functions.

1.) For the pair of functions, f(x)=x^2+5 and g(x)=x+3, find the following. a) (f*g)(x) b) (f*g)(2) c) (g*f)(x) d) (g*F)(2) 2.) Find a formula for the inverse f(x)=x+7. f(squared -1)(x)=? 3. Evaluat

What number must you add to complete the square?? 10 POINTS!

x^2+12x=33-36... (12/2)^2 x^2+12x+36=33+36 (x+6)^2-69=0-To complete the square, you have to take b, or in this case, 12, and divide it by two.Then, simply square this number.So in this case, it is (12

Are my answers correct? PLZ HELP ME!

8.Expand the following expressions & simplify where possible: a. 3(4a+7) = 12a + 21 b. -3(x-7) - 2x(4y+1) = 21+-5x+-8xy 9. Solve the following equations: a. 14e-11= -25 = e=-1 b. 9-7a= 2 = a=1 c. x^2