Carry it over to the right. 32 is less than 63 so you will subtract and put a 1 for that value, and continue down the line. 2. Explain why the values 102 and 00102 are the same. Because when you plug the binary numbers into the 8 bit conversion table, the two zeros before the 10 equal nothing.
Mat 117 Problem set 6 (System of Equations) Write your name and date 1. Solve the following systems of equations: a) 3x y 8 15 x 2 y 26 a) solution x c) No solution , y Write your answer here: b) Many solutions {( x, y ) | x , y any real number} b) 3x y 8 15 x 5 y 13 a) solution x c) No solution , y Write your answer here: b) Many solutions {( x, y ) | x , y any real number} c) 5x y 8 15 x 3 y 24 a) solution x c) No solution , y Write your answer here: b) Many solutions {( x, y ) | x , y any real number} 2. Use matrix method (Augmented form) and solve the following systems: a) x 3 y 4 z 21 2x y z 7 2 x 3 y 3z 19 a) solution x c) No solution , y
.. ... .... .. .. (b) Expand and simplify (x + 3)(x + 7) (2) .................................................. .. ... .... .. .. (c) Factorise fully 3pq – 12p2 (2) .................................................. .. ... .... .. .. (d) (i) Factorise 3 y 2 − 10 y + 3 (4) .................................................. .. ... .... .. .. Hence, or otherwise (ii) Factorise 3( x + 2) 2 − 10( x + 2) + 3 .................................................. .. ... .... .. .. (Total for Question 9 = 11 marks) Edexcel GCSE in Mathematics A Sample Assessment Materials Issue 2 © Edexcel Limited 2010 57 10 1 2 3 98 99 100 The diagram represents 100 cards. Each card has a whole number from 1 to 100 on it. No cards have the same number. Bill puts a red dot on every card which has a multiple of 6 on it.
(5 pts) --- 6. A random sample of STAT200 weekly study times in hours is as follows: 2 15 15 18 30 Find the sample standard deviation. (Round the answer to two decimal places. Show all work.Just the answer, without supporting work, will receive no credit.) (10 pts) --- image501Refer to the following information for Questions 7, 8, and 9.
[2] (b) Shade 25% of the following figure. [1] (c) Write down all the factors of 22. [2] .................................................................................................................................................................................................................................... (d) Write 7458 (i) (ii) correct to the nearest 10, correct to the nearest 1000. ...................................................... ...................................................... [2] 185-02 9 Examiner only 6. y 8 7 6 5 4 3 2 A –8 –7 –6 –5 –4 –3 –2 –1 1 0 –1 P –2 –3 –4 –5 –6 1 2 3 4 5 6 x B Write down the coordinates of (a) (b) the point P, the mid-point of the line AB. ( ....................... , ....................... ) [1] ( ....................... , ....................... ) [1] 185-02 Turn over.
Both of these formulas were found on page 225 in Mathematics in Our World (Bluman, 2005). Problem #37 • This sequence is geometric • Ending balance is $814.45 STEPS/CALCULTATIONS YOU PERFORMED TO REACH THE ANSWER: To find the ending balance, the formula of An = a1(rn-1) will be used. The initial balance is $500, the interest is 5%, and the time span is 10 years. 5% will be listed as 1.05 as the initial balance is 100% plus 5% interest, so 105% is written 1.05. The number of terms is n=10, the first term is a1=525, the common ratio is r = 1.05.
X100/201 NATIONAL QUALIFICATIONS 2010 FRIDAY, 21 MAY 1.00 PM – 1.45 PM MATHEMATICS INTERMEDIATE 2 Units 1, 2 and 3 Paper 1 (Non-calculator) Read carefully 1 You may NOT use a calculator. 2 Full credit will be given only where the solution contains appropriate working. 3 Square-ruled paper is provided. LI X100/201 6/27910 *X100/201* © FORMULAE LIST The roots of ax + bx + c = 0 are x = 2 −b ± (b 2 − 4ac ) 2a Sine rule: a = b = c sin A sin B sinC Cosine rule: 2 2 2 a2 = b2 + c2 − 2bc cos A or cos A = b + c − a 2bc Area of a triangle: 1 Area = 2 ab sin C Volume of a sphere: Volume = 4 π r 3 3 Volume of a cone: 1 Volume = 3 π r 2 h Volume of a cylinder: Volume = π r 2
Find the length and the width of the court. 5. Solve this system of equations using the elimination method: 3a-3b=-15 -3a-3b=-3 6. Solve using the multiplication principle first. Then use the elimination method: 7p+5q=2
Translate into symbols: 5 plus the quantity of 6 minus m. a. (5 + 6) – m b. 5 + 6 – m c. 5 + (6 – m) 9. Translate into symbols: The difference of 5 squared and a. a. 52 + a b.
The weakness is that the algorithm needs a stored table of values (a "division table", not unlike a "multiplication table"). This table was incorrectly entered into the Pentium FPU -- five entries out of about a thousand were omitted. As in normal long division, at each step in dividing m by n, the Pentium looks at the first few digits of n and of the remainder so far. It uses these as column and row entries in its table to estimate the next few digits of the quotient, then multiplies and subtracts to get the next remainder by the usual method. The table includes negative entries