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1. ### Simplify (r^2-36)/((r+6)^2 ) by removing factors of 1…?

(r^(2)-36)/((r+6)^(2)) The binomial can be factored using the difference...difference of squares formula is a^(2)-b^(2)=(a-b)(a+b). ((r-6)(r+6))/((r+6)^(2)) Reduce the expression by canceling out...

5 Answers · Science & Mathematics · 06/03/2010

((200)/(r+10))=((200)/(r))-1 Remove the parentheses around the expression (200)/((r+10)). (200)/(r+10)=((200)/(r))-1 Remove... on the left-hand side of the equation. (-r+200)/(r)=(200)/(r+10) Since there...

2 Answers · Science & Mathematics · 29/04/2010

3. ### R ring for each nonzero a∈R, exist unique b∈R,aba=b,Show that R has no divisors of 0, bab=b, and has identity?

Assume that R has a divisor of 0, say a different than 0, thus there exists c in R...contradiction. If aba = a, then abab = ab thus abab -ab = 0, thus a( bab - b)=0, as R has no divisors of 0 we have that bab = b. Take any a...

3 Answers · Science & Mathematics · 11/05/2012

4. ### Find R(11)?

R(x) = -2x³ - 7x + 14 R(11) = -2(11)³ - 7(11) + 14 R(11) = -2(1331) - 77 + 14 R(11) = -2662 - 77 + 14 R(11) = -2725

3 Answers · Science & Mathematics · 03/07/2008

5. ### Quadratic, how to solve for R?

Simplify: (square the top and bottom of the fraction, then multiply top by R: 22.4 = 14400R/(R+139)^2 Clear fraction: (multiply both ...

2 Answers · Science & Mathematics · 21/10/2009

6. ### Solve for R?(Math)???????

Multiply by r: 1 - 1/2 r^2 = 3/5 r 1/2 r^2 + 3/5 r - 1 = 0 5 r^2 + 6r - 10 = 0 And solve using the quadratic equation.

3 Answers · Science & Mathematics · 05/08/2009

7. ### Determine the r-values?

r^2h)/(2πrh+2πr^2)<1/3 (πr^2)/(2πr+2πr^2)<1/3 (πr^2)/2πr(1+r)<1/3 r/2(1+r)<1/3 r<...

2 Answers · Science & Mathematics · 24/08/2012

8. ### integrate r^2 / (r+4) dr?

Note that: r^2/(r + 4) => [(r^2 - 16) + 16]/(r + 4) = (r^2 - 16)/(r + 4) + 16/(r + 4) = [(r + 4)(r - 4)]/(r + 4) + 16/(r + 4), by difference of two squares = (r - 4) + 16/(r + 4). Thus, the integral becomes: ∫ r^2/(r + 4) dr...

6 Answers · Science & Mathematics · 28/06/2010

9. ### a right circular cone is inserted in a sphere of radius(R). if the height of the cone is R+x, express the volume in term of x and R.?

let r = the radius of the base of the cone , we also have: R = radius of sphere R + x = height cone V... - 3x^2 = 0 (R + x)(R - 3x) = 0 x = -R , R/3 => reject the negative root: x = R...

3 Answers · Science & Mathematics · 27/06/2015

10. ### Show that ∑(n+ r-1)(n+r) = (1/3n)(7n^2 – 1)?

∑ _{r=1, n} 1= n ∑ _{r=1, n} r= (n+1)·n/2 ∑ _{r=1, n} r²= n·(n+1)·(2n+1)/6 ==>...2nr +r² -n -r) = (n²-n)·∑ _{r=1, n} 1 + (2n-1)· ∑ _{r=1, n} r + ∑ _{r=1, n} r² = (n²-n)·n + (2n-1)·(n...

1 Answers · Science & Mathematics · 26/07/2009