Solve the problem.If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse,  How is dc/dt related to da/dt and db/dt?

A.  = 2a + 2b
B.  = a + b
C.  = 
D.  = a2 + b2


Answer: C

Mathematics

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Solve the problem. Round your answer, if appropriate.As the zoom lens in a camera moves in and out, the size of the rectangular image changes. Assume that the current image is  Find the rate at which the area of the image is changing (dA/df) if the length of the image is changing at 0.7 cm/s and the width of the image is changing at 0.4 cm/s.

A. 14.0 cm2/sec B. 14.6 cm2/sec C. 7.3 cm2/sec D. 7.0 cm2/sec

Mathematics

Solve the problem.The following table shows the team payroll (in millions of dollars) of several major league baseball teams along with their winning percentages for the 1999 season. Find the equation of the line of best fit for the team payroll and the winning percentage.

A. y = 0.361x + 0.00223 B. y = 312.05x - 98.08 C. y = 0.00211x + 0.431 D. y = 0.000979x + 0.402

Mathematics

Rewrite the expression as a sum or difference of logarithms or multiples of logarithms.log8 

A. log8(2) - log8()
B. log8() + log8(2)
C. log4() - log4(2)
D.  log8(3) - log8(2)

Mathematics

Graph the hyperbola. -  = 1

A.

B.

C.

D.

Mathematics