Write the ratio using the word form, the colon form, and the fraction form in lowest terms. 6 boys to 34 girls on the field trip

A. 6 to 34; 6 : 34;   
B. 6 to 34; 6 : 34;   
C. 34 to 6; 34 : 6;  
D. 34 to 6; 34 : 6;   


Answer: B

Mathematics

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Solve the problem.Find the derivative of the function    at the point    in the direction in which the function decreases most rapidly.

A. -18 B. -9 C. -27 D. -8

Mathematics

Find the unit tangent vector of the given curve.r(t) = (6t cos t - 6 sin t)j  + (6t sin t + 6 cos t)k

A. T = (-6 sin t)j  + (6 cos t)k
B. T = (-sin t)j  + (cos t)k
C. T = (6 cos t)j  - (6 sin t)k
D. T = - (sin t)j  + (cos t)k

Mathematics

Each line contains the given points. Find the slope of each line to determine if the lines are parallel, perpendicular, or neither.L1: (-5, 10) and (-7, 2)L2: (-1, 2) and (0, -2)

A. perpendicular B. neither C. parallel

Mathematics

Multiply the polynomials.(5x2 - 3x + 3)(x2 - 3x - 2)

A. 5x4 - 15x3 + 2x2 - 3x - 6  B. 5x4 - 15x3 - 1x2 - 3x - 6 C. 5x4 - 18x3 - 1x2 - 3x - 6  D. 5x4 - 18x3 + 2x2 - 3x - 6 

Mathematics