The lengths of two vectors a and b, and the angle ? between them, are given. Find the length of their cross product, |a x b|. Write the answer correct to three decimal places.

|a| = 0.12, |b| = 1.25, ? =85°


0.149

Mathematics

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Provide an appropriate response.If f(x) =  + 2x, find: (a) f(1) and (b) f(-1).

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the inverse using composition.f(x) = x2 - 6, x ? 0

A. f-1(x) = 
B. f-1(x) = - 
C. f-1(x) = - 
D. f-1(x) = x2 + 6

Mathematics

Provide an appropriate response.The time it takes a boat to travel a given distance downstream (with the current) can be calculated by dividing the distance by the sum of the speed of the boat and the speed of the current. Write an equation which calculates the time t it takes a boat moving at a speed r against a current c to travel a distance d. Solve your equation for r.

What will be an ideal response?

Mathematics

Solve the radical equation, and check all proposed solutions. = x + 8

A. {8} B. {-7} C. {7} D. {-6}

Mathematics