G. Compare the values of the measured angles with the average computed values and determine their difference. 2. Determination of the sides of a right triangle when the hypotenuse and one angle are measured: A. Create a new triangle by taping the bottom of the string to a different position on the floor or table, as in Procedure 1. B.
c. Find the coordinates of the foci. d. Graph the ellipse. Label the center and foci. Answer: a) Given equation of ellipse. On comparing this equation with standard equation of ellipse with centre (h,k) which is given by x-h2a2+y-k2b2=1 , we have , h = 3 and k = -5.
-0011 0110 0011 represents 3 0110 represents 6 - 36 Exercise 1.3.6 Represent the hexadecimal value f6 16 in binary and decimal. Show the steps of conversion that you used. - The best way I feel to do this propose is to change it to binary first. - F is 1111 - 6 is 0110 - 11110110 in binary - Then do the decimal step , 246 Lab 1.3 Reviews Explain why it is important to know how many system words will fit in a primary storage device on a computer (such as the hard drive). -So that you know how much ad primary storage unit can hold.
Composition and Inverse Functions MAT 222: Intermediate Algebra Instructor October 12, 2014 Composition and Inverse Functions Functions are helpful in algebra to determine model dependencies among different variables. For example, some situations require many levels of dependencies and are useful to express the final variable in terms of the first variable. Function composition defines a variable in terms of another one while reducing the level of dependencies; and an inverse function comes into play when checking a correlation between dependent and independent variables. This paper will outline and solve a true composition and inverse function. The functions are: fx=2x+5 gx=x2-3 hx=7-x3
Employed the use of Visual PinPoint in order to astrometrically reduce the images and to embed World Coordinate System data into the FITS header. Utilized data found in Sergeant (1974) paper concerning globular cluster positions. Used a procession calculator, found online, to convert the coordinate system from the outdated 1950 Epoch to the 2000 Epoch. Proceeded to plug in Sergeant's data into the calculator and re-checked for any errors. Used a digital development filter set to a kernel low pass more in MaximDL.
Find the perimeter and area of the shaded sections of these shapes. (i) [7] (ii) [7] Total 60 marks Geometry and trigonometry Solutions to Topic assessment 1. The curve is a circle, centre O and radius 2. [2] 2. Substituting [pic] into [pic] gives [pic] Since the equation has a repeated root, the line meets the circle just once, and so the line is a tangent to the circle.
Pick any three problems and find the difference. a. x2 –144 b. 64x2 –81 c. 36x2 –49y2 d. x4 –1 e. 81x4 –1 4. Factor a perfect square trinomial. Pick any two problems and factor each perfect square trinomial.
Algebra I Unit 4 Snap Shot | Unit Title | Cluster Statements | Standards in this Unit | Unit 4Expressions and Equations | * Extend properties of exponents to rational exponents * Use properties of rational and irrational numbers * Interpret the structure of expressions * Write expressions in equivalent forms to solve problems * Perform arithmetic operations on polynomials * Understand the relationship between zeros and factors of polynomials * Create equations that describe numbers or relationships * Solve equations and inequalities in one variablePARCC has designated standards as Major, Supporting or Additional Standards. PARCC has defined Major Standards to be those which should receive greater emphasis because of the
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)
a) b) c) d) 16. Which equation represents the Objective Function for the above problem? a) b) c) d) 17. Write the equation of a square root graph that has been vertically compressed by a factor of , reflected over the x-axis, translated down 2 units and right 3 units. 18.