Answer:
1. 15
2. -23
3. -16
Step-by-step explanation:
1. Find h(-8)
h(t) = 
h(-8) = 
h(-8) = 
2. What is the value of g(-3)
g(x) = 4(x - 5) + 
g(-3) = 4(-3 - 5) 
g(-3) = 4(-8) + 9
g(-3) = -32 + 9
g(-3) = -23
3. Find f(10)
f(x) = 14 - 3x
f(10) = 14 - 3(10)
f(10) = 14 - 30
f(10) = -16
(1)Identify the surface whose equation is r = 2cosθ by converting first to rectangular coordinates...(2)Identify the surface whose equation is r = 3sinθ by converting first to rectangular coordinates...(3)Find an equation of the plane that passes through the point (6, 0, −2) and contains the line x−4/−2 = y−3/5 = z−7/4...(4)Find an equation of the plane that passes through the point (−1,2,3) and contains the line x+1/2 = y+2/3 = z-3/-1...(5)Find a) the scalar projection of a onto b b) the vector projection of a onto b given = 〈2, −1,3〉 and = 〈1,2,2〉...(6)Find a) the scalar projection of a onto b b) the vector projection of a onto b given = 〈2,1,4〉 and = 〈3,0,1〉...(7)Find symmetric equations for the line of intersection of the planes x + 2 y + 3z = 1 and x − y + z = 1...(8)Find symmetric equations for the line of intersection of the planes x + y + z = 1 and x + 2y + 2z = 1...(9)Write inequalities to describe the region consisting of all points between, but not on, the spheres of radius 3 and 5 centered at the origin....(10)Write inequalities to describe the solid upper hemisphere of the sphere of radius 2 centered at the origin....(11)Find the distance between the point (4,1, −2) and the line x = 1 +t , y = 3 2−t , z = 4 3−t...(12)Find the distance between the point (0,1,3) and the line x = 2t , y = 6 2−t , z = 3 + t...(13)Find a vector equation for the line through the point (0,14, −10) and parallel to the line x=−1+2t, y=6-3t, z=3+9t<span>...</span>
Volume = 9in • 9in • 9in
Volume = 729 in^3
Now multiply the volume by 6 grams.
Let H = total weight of the cube in terms of grams.
H = V • 6
H = 729 • 6
H = 4,374 grams
