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Volume of an Ellipsoid:

Volume of an Ellipsoid:. 4. V = r 1 r 2 r 3. 3. Distance from a point to a line. |am + bn + c| . d = . a 2 + b 2. Area of an ellipse. A = r 1 r 2. # of integral divisors if a n b m c p = #. (n+1)(m+1)(p+1). # of relatively prime numbers a n b m c p = #. 1. 1.

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Volume of an Ellipsoid:

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  1. Volume of an Ellipsoid: 4 V= r1r2r3 3

  2. Distance from a point to a line |am + bn + c| d = a2 + b2

  3. Area of an ellipse A = r1r2

  4. # of integral divisors if anbmcp = # (n+1)(m+1)(p+1)

  5. # of relatively prime numbersanbmcp = # 1 1 n(1- )(1- ) Prime factor Prime factor

  6. Sum of integral divisors if anbmcp = # (a0+a1+a2…)(b0+b1+b2…)(c0+c1+c2…)

  7. Arithmetic mean of two numbers x + y 2

  8. Geometric mean of two numbers xy

  9. Harmonic mean of two numbers 2xy x + y

  10. ax2 + bx + c = 0Find the product of the roots c a

  11. Area of any polygon given the vertices Shoelace theorem

  12. Diagonal is 5, what is the side of the square? 5 2

  13. The internal diagonal is 6, what is the side of the cube? 6 3

  14. The side of a cube is 3, what is the length of the internal diagonal? 3 3

  15. side is 7, what is the diagonal of the square? 7 2

  16. The hypotenuse of a 30-60-90 triangle is 18, what is the length of the shorter side of the triangle? 9

  17. Doing a job together xy x + y

  18. ax2 + bx + c = 0Find the sum of the roots -b a

  19. Pythagorean Theorem a2 + b2 = c2

  20. Domain x values

  21. A B C D E Which one is the Median? C

  22. A B C D E Which one is the Lower Extreme? A

  23. A B C D E Which one is the Upper Extreme? E

  24. A B C D E Which one is the Upper Quartile? D

  25. A B C D E Which one is the Lower Quartile? B

  26. Degree of an angle with hour hand H and minute hand M 1 | (60H – 11M)| 2

  27. In a box and Whiskers graph how do you find the lower boundary? Lower quartile – 1.5 x IQR

  28. In a box and Whiskers graph how you find the IQR? Upper quartile – Lower quartile

  29. Range y values

  30. The short side of a 30-60-90 triangle is 12, what is the length of the hypotenuse of the triangle? 24

  31. Order doesn’t matter combinations

  32. The short side of a 30-60-90 triangle is 12, what is the length of the longer side of the triangle? 12 3

  33. 3x2 + 5x – 4 = 0Find the sum of the roots -5 3

  34. 3x2 + 5x – 4 = 0Find the product of the roots - 4 3

  35. Sin  opposite hypotenuse

  36. CSC  hypotenuse opposite

  37. Cos  adjacent hypotenuse

  38. Sec  hypotenuse adjacent

  39. Tan  opposite adjacent

  40. Cot  adjacent opposite

  41. Law of Sines Sin A Sin C Sin B = = a c b

  42. Number of subsets in an n-element 2n

  43. Order matter permutation

  44. Largest unattainable sum mn – (m+n)

  45. Number of proper subsets in an n-element 2n - 1

  46. Slope of a line given two points y1 – y2 x1 – x2

  47. Combinations formula n! r!(n-r)!

  48. permutations formula n! (n-r)!

  49. Slope of a line given y = 7x + 2 7

  50. Slope of a line given 9x + 3y = 7 -3

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