Let u = (3, -4 ), v = (-7, 8), and w = (5, 5). Find the component forms of the following vectors. u + w

Solve each system of equations using a matrix equation. Check your answers. x - 3y = -1, -6x + 19y = 6

Solve each system of equations using a matrix equation. Check your answers. 2x + 3y = 12, x + 2y = 7

Transform each vector as described. Write the resultant vector in component form. (-3, 7); reflect across x-axis

Use matrix addition to find the coordinates of each image after a translation 2 units right and 4 units down. If possible, graph each pair of figures on the same coordinate plane. A(2, 4), B(4, 5), C(1, 6)

choose the correct letter. Let u = (4, -7) and v = (-1, 3). What is |u + v|? A. -5 B. -1 C. 1 D. 5

Nutrition Suppose you are making a trail mix for your friends and want to fill three 1-lb bags. Almonds cost $2.25/lb, peanuts cost$1.30/lb, and raisins cost $.90/lb. You want each bag to contain twice as much nuts as raisins by weight. If you spent$4.45, how much of each ingredient did you buy? Know I need _____ of ingredients that cost a total of _____.

choose the correct letter. A triangle has vertices A(4, 6), B(1, -5), and C(-3, 1). What are the vertices of the image of the triangle after a rotation of 90°? A. A'(-6, 4), B'(5, 1), C'(-1, -3) B. A'(-4, 6), B'(-1, -5), C'(3, 1) C. A'(6, 4), B'(-5, 1), C'(1, -3) D. A'(-6, -4), B'(5, -1), C'(-1, 3)

Aviation A twin-engine airplane has a speed of 300 mi/h in still air. Suppose the airplane heads south and encounters a wind blowing 50 mi/h due east. What is the resultant speed of the airplane? Know The airplane is traveling _____ at a speed of

choose the correct letter. A triangle has vertices A(4, 6), B(1, -5), and C(-3, 1). What are the vertices of the image of the triangle after a rotation of 90°? A. A'(-6, 4), B'(5, 1), C'(-1, -3) B. A'(-4, 6), B'(-1, -5), C'(3, 1) C. A'(6, 4), B'(-5, 1), C'(1, -3) D. A'(-6, -4), B'(5, -1), C'(-1, 3)

A news bulletin reports a powerful earthquake 200 kilometers off the coast of California. Hours later, there's no sign of any tsunami anywhere on the West Coast. Why not?

State whether the following limit forms is indeterminate. Where possible, state the limit.

$$\infty + \infty$$

Why do practical database designs typically aim for BCNF and not aim for higher normal forms?

List at least five natural forms that appear chaotic that we can study using fractals.