Use Cramer's rule to solve the system.3x + 4y - z = 25  x - 4y + 2z = 113x + y + z = 32

A. {(7, -3, -8)}
B. {(3, 8, 3)}
C. {(7, 3, 8)}
D. {(8, 1, 8)}


Answer: C

Mathematics

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Evaluate using the order of operations.-16.8 + 17.1 + (-11.8)

A. -11.5 B. 12.1 C. 22.1 D. 45.7

Mathematics

Find the Taylor polynomial of order 3 generated by f at a.f(x) = ln x, a = 5

A. P3(x) =  -  +  - 
B. P3(x) =  +  +  + 
C. P3(x) = ln 5 +  -  + 
D. P3(x) = ln 5 -  +  - 

Mathematics

A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 45 cm/s. Express the radius r of this circle as a function of the time t (in seconds) and find A ? r, if A is the area of this circle as a function of the radius.

What will be an ideal response?

Mathematics

Solve the problem.Tides go up and down in a 14.8-hour period. The average depth of a certain river is 7 m and ranges from 4 to 10 m. The variation can be approximated by a sine curve. Write an equation that gives the approximate variation y, if x is the number of hours after midnight and high tide occurs at 5:00 am.

A. y = 7 sin 
B. y = 3 sin 
C. y = 3 sin 
D. y = 7 sin 

Mathematics