Solve.One maid can clean the house three times faster than another. Working together they can clean the entire house in 3 hours. How long would it take the faster maid cleaning alone?

A.  hr
B. 4 hr 
C. 3 hr 
D. 5 hr 


Answer: B

Mathematics

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Which of the following is not true about similar triangles??

A.

?Similar triangles do not necessarily have the same size.


B.

?Similar triangles have the same shape.


C.

?All angles in one triangle are not necessarily the same as in the similar triangle.


D.

?All angles in both triangles are congruent.


E.

?If a, b, and c are sides of one triangle, and a', b', c' are corresponding sides of the other triangle, then 


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Find the gradient field of the function.f(x, y, z) = z sin (x + y + z)

A. ?f = -cos xi - cos yj + (sin z - z cos z)k B. ?f = z cos(x + y + z)i + z cos(x + y +z)j + (sin(x + y + z) + zcos(x + y + z))k C. ?f = -z cos(x + y + z)i - z cos(x + y +z)j + (sin(x + y + z) - zcos(x + y + z))k D. ?f = cos xi + cos yj + (sin z + z cos z)k

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Estimate the limit by graphing the function for an appropriate domain. Confirm your estimate by using l'Hopital's rule. Show each step of your calculation.

What will be an ideal response?

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Integrate the function., x > 7

A.  + C
B. ln  + C
C. ln  + C
D.  + C

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