Identify if the order triple (1, 2,3) is a solution of the given system of equations. 3x 5 y z 16 7 x y 3z 4 x 5 y 7 z 10 4. Identify if the system of equations given below has unique solution, infinitely many solutions, or no solution. 2 x 5 y 16 3x 7.5 y 24 5. Given is the augmented matrix of a system of equations: 1 5 6 2 7 1 3 5 1 5 7 13 Write the new form of the augmented matrix after the following row operations.
What is the volume, to the nearest whole number, of this MA.912.G.3.3 7. You are trying to prove that quadrilateral congruent. is a square. You have already proven that all four sides are Which statement, if true, would prove that A. B. C. D. The diagonals are congruent.
8 5 7 8 (a) 7 7 8 6 6 11 7 5 5 7 9 9 6 7 6 7 Construct a frequency table from the above data and add a cumulative frequency column. For this data, find: (i) the median; (ii) the lower quartile; (iii) the upper quartile. 2 (b) 1 1 1 2 (c) Construct a boxplot for this data. [Turn over [ X100/201] Page three Marks 3. The diagram below represents a sphere.
Assignment #2 1) Improve the result from problem 4 of the previous assignment by showing that for every e> 0, no matter how small, given n real numbers x1,...,xn where each xi is a real number in the interval [0, 1], there exists an algorithm that runs in linear time and that will output a permutation of the numbers, say y1, ...., yn, such that ∑ ni=2 |yi - yi-1| < 1 + e. (Hint: use buckets of size smaller than 1/n; you might also need the solution to problem 3 from the first assignment!) 2) To evaluate FFT(a0,a1,a2,a3,a4,a5,a6,a7) we apply recursively FFT and obtain FFT( a0,a2,a4,a6) and FFT(a1,a3,a5,a7). Proceeding further with recursion, we obtain FFT(a0,a4) and FFT(a2,a6) as well as FFT(a1,a5) and FFT(a3,a7). Thus, from bottom up, FFT(a0,a1,a2,a3,a4,a5,a6,a7)
MAT221: Introduction to Algebra Week 5 Discussion Factoring According to what I calculated, the GCF of 92 and 64 is 4. I found this answer by : Divisor 92 divided by 4 equals 23 and 64 divided by 4 equals 16. I used the factor of numbers to help me. 92/4=23 1,2,4,23,46,92 2/24 2/12 2/6 3/3 64/4=16 1,2,4,8,76,32,64 24=2x2x2x3 Prime factors are also know as natural numbers. It means a number that is more than one and I can only divide it by one, and has no remaining numbers.
Then divide each term by GCF to determine what is left inside the parentheses.) Example 2: 18x2y3z5 - 24x5y2z + 30x3y4z2 Solution: 6x2y2z(3yz4 - 4x3 + 5xy2z) 2. Look to see if it is a difference between two perfect squares. (need 4
E. distorted tetrahedron (seesaw). 61. According to VSEPR theory, which one of the following molecules is trigonal bipyramidal? A. SF4 B. XeF4 C. NF3 D. SF6 E. PF5 62. Which one of the following molecules has tetrahedral geometry?
Randy Michael NT 1210 Lab 1.1 Professor Chibuzo Onukwufor 4/1/15 Lab 1.1 1: Convert the decimal value 127 to binary. Explain the process of conversion that you used. Decimal Number | Binary Number | Remainder | 127 - | 64 | 63 | 63 - | 32 | 31 | 31 - | 16 | 15 | 15 - | 8 | 7 | 7 - | 4 | 3 | 3 - | 2 | 1 | 1 - | 1 | 0 | Binary | 27 | 26 | 25 | 24 | 23 | 22 | 21 | 20 | Decimal | 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 | Conversion | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | I took the decimal and divided it by two giving 1 for the remainders and 0 if it did not have a remainder. 2: Explain why the values 102 and 00102 are equivalent. They are equivalent because they represent the powers of 10 3: Based on the breakdown of the decimal and binary systems in this lab, describe the available digit values and the first four digits of a base 5 numbering system.
Unit 3 study guide A quadrilateral is a four-sided polygon. A quadrilateral is named by writing each vertex in consecutive order. A trapezoid is a quadrilateral with one and only one pair of parallel sides A parallelogram is a quadrilateral with two sets of parallel sides A quadrilateral with four right angles is known as a rectangle A quadrilateral with four rights angles and four congruent sides is known as a square A rhombus is a quadrilateral with four congruent sides and no restrictions on the angles Properties of quadrilaterals Parallelograms- A parallelogram is a quadrilateral with two pairs of parallel sides. It has all of the properties shown here: -The opposite sides are congruent. EF=HG, EH=FG -The opposite angles are
24 For the parabola with the equations below, find: i the equation of the axis of symmetry ii the coordinates of the vertex a y = x2 + 3x + 2 b y = 3x − 2x2 c y = 10 − x2 b y = 5x − 2x2 d y = 2x2 − 5x + 2 25 Sketch each of the following: a y = 3x2 − x − 4 Ex 11-09 Ex 11-09 Ex 11-09 26 For each of the parabolas find: i the coordinates of the vertex ii the x-intercepts iii the y-intercept. Draw a neat sketch of the graph of each equation. a y = 4x2 − 12x + 9 b y = 3x2 − 14x − 5 27 Sketch each of the following exponential curves: a y = 3x b y = −6−x 28 In each of the following statements, decide which variable is independent and which variable is dependent: a the amount of fuel used by a car varies with the distance travelled b the diameter of a balloon decreases as the air leaks out c the more people that attend the dinner show, the cheaper the cost of a ticket d the warmer the air in a hot-air balloon, the higher it will go 29 Match each of these equations with one of the graphs below. a x = 2x2 − 2 e x+y=1 i y = 2x2