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Find the sum of 1,1/5,1/25


fatima plans to spend at $15 and at most $20 on sketch pads and pencils. If she buys 2 sketch pads, how many pencils can she buy while staying in her price range



The first tern of an A.P. is 2 and the 6th term is 12. Find the

sum of the first 12 terms.


Determine the sum of the progression if there are 7

arithmetic mean between 3 and 35.


How many terms of progression 3, 5, 7, 9 . . . must be taken

in order that their sum will be 2600?


tavon has a gift card for $125 that loses $3 each 30-day period it is not used. He has another gift card for $105 that loses $2.50 for each 30-day period it is not used.


What operation can I use to find the number of seats in both groups of sidestreets write the expression


Determine the numerical value of the following expression without the use of a calculator: log10 (1000100) 100 + X 100 n=1 sin(πn) + 1 (−1)n ! · vuut 1000 Y m=1 1 cos(πm) 2 


You are given the system of equations

"\\begin{array}{ccc}2x & +4y & =10\\\\ 3x & +2y & =7 \\end{array} ."

Which of the following is true about the system above?


  1. The determinant of the coefficient matrix is -8
  2. With Cramer's rule, the value of x is "x=-\\frac{\\left| \\begin{array}{cc}10 & 4\\\\ 7 & 2 \\end{array} \\right |}{8}.\u200b"
  3. With Cramer's rule, the value of y is "y=-\\frac{\\left| \\begin{array}{cc}2 & 10\\\\ 3 & 7 \\end{array} \\right |}{8}."
  4. The determinant of the coefficient matrix is 8
  5. With Cramer's rule, the value of y is "y=\\frac{\\left| \\begin{array}{cc}2 & 10\\\\ 3 & 7 \\end{array} \\right |}{8}."

You are given the circle "x^{2}+y^{2}+ax+by+c=0", where a, b and c are some constants. Given that this circle passes through the points (4,2); (0,3) and (3,-2).


Which of the following are true?


  1. The system of equations connecting a, b and c is "\\begin{array}{cccc} 4a& +2b& +c&= -20\\\\ & +3b & +c& =-9 \\\\ 3a& -2b&+c&=-13 \\end{array}"
  2. The determinant of the coefficient matrix for the system connecting a, b and c is 17
  3. With Cramer's rule, the value of a is "a=\\frac{\\left| \\begin{array}{cccc}-20 & 2& 1\\\\ -9 & 3& 1\\\\ -13 & -2& 1 \\end{array} \\right |}{17}."
  4. With Cramer's rule, the value of b is "b=\\frac{\\left| \\begin{array}{cccc}-20 & 2& 1\\\\ -9 & 3& 1\\\\ -13 & -2& 1 \\end{array} \\right |}{17}."