Let v1 =[-4 -1 -2] ,v2 = [-3 1 -2], v3= [1 -5 2], and H = Span{v1,v2,v3}. Note that v3 = 2v1 - 3v2. Which of the following sets form a basis for the subspace H, i. e., which sets form an efficient spanning set containing no unnecessary vectors? A. {v1,v2,v3}
B. {v1,v2}
C. {v1,v3}
D. {v2,v3}

Mrs. avila is buying a wallpaper border to go on all of her kitchen walls. she wants to buy 5 extra feet of wallpaper border than she needs to be sure she has enough. she buys 55.5 feet of the border. the store owner selling the border uses the width of mrs. avila's kitchen to determine that the length of her kitchen must be 14.5 feet.

The trapezoid is composed of a rectangle and two triangles. what is the area of the rectangle? what is the total area of the triangles? what is the area of the trapezoid? a) 48 cm2; 32 cm2; 80 cm 2 b) 48 cm2; 16 cm2; 64 cm 2 c) 128 cm2; 32 cm2; 160 cm 2 d) 128 cm2; 16 cm2; 144 cm 2

Mr. thompson took five of his children to the bowling alley the cost for children 12 and older is 350 the cost of four children under 12 inch to 25 he spent a total of 1625 how many of his children are 12 and order