Use the distributive property to multiply the given expressions.5(x - 7)
A. 5x - 35
B. 5x + 35
C. 5x - 7
D. x + 35
Answer: A
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Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = xyi + yzj + xzk , S is the surface of the rectangular prism formed from the coordinate planes and the planes x = 1, y = 4, and z = 1, direction away from the origin
A. 6 B. 2 C. 24 D. 12
Find the vertex, focus, and directrix of the parabola. Graph the equation.(y + 1)2 = (x - 3)
A. vertex: (3, -1)
focus: (3, -0.75)
directrix: y = -1.25
B. vertex: (3, -1)
focus: (3.25, -1)
directrix: x = 2.75
C. vertex: (1, -3)
focus: (1.25, -3)
directrix: x = 0.75
D. vertex: (-3, 1)
focus: (-3, 1.25)
directrix: y = 0.75
Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = 3yi + yj + zk; C: the counterclockwise path around the boundary of the ellipse +
= 1
A. 16? B. -48? C. 48? D. -48
Solve the problem. Round to the nearest cent.Green Thumb Landscaping wants to build a $140,000 greenhouse in 2 years. The company sets up a sinking fund with payments made quarterly. Find the payment into this fund if the money earns 8% interest compounded quarterly.
A. $7511.02 B. $10,438.34 C. $16,311.37 D. $33,967.33