Find the product.(5r + 3t)4
A. 625r4 + 1500r3t + 1350r2t2 + 540rt3 + 81t4
B. 625r4 + 1500r3t + 1350r2t2 + 1500rt3 + 81t4
C. 625r4 + 5r3t + 1500r2t2 + 1500rt3 + 81t4
D. 625r4 + 625r3t + 1350r2t2 + 1350rt3 + 81t4
Answer: A
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Evaluate the following expression.
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A. 81 B. 1 C. -1 D. 0 E. - 1296
A can is made from 27 square inches of aluminum. We can calculate both the height h, in inches, and the volume V, in cubic inches, from the radius r, in inches, of the can:
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A: Find the radius of the can of maximum volume. B: What is the height of the can of maximum volume?C: What is the maximum volume?
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(Round your answers to two decimal places.)
What will be an ideal response?
Factor out the greatest common factor.6x3 + 4x2 - 2x
A. 2x(3x2 + 2x - 2) B. 2(3x3 + 2x2 - x) C. 2x(3x2 + 2x + 1) D. 2x(3x2 + 2x - 1)
The augmented matrix is in row-echelon form and represents a system of linear equations. Solve the system using backward substitution. Write the solution as an ordered triple, if possible.
A. (23 + 12z, -14 - 4z, z)
B. (23 + 11z, -7 - 4z, z)
C. (23 + 11z, -14 - 4z, z)
D. No solution