Solve the problem.In chemistry, the pH of a substance is defined by  where  is the hydrogen ion concentration in moles per liter. Find the  of a sample of lake water whose  is 3.05 × 10-9 moles per liter. (Round to the nearest tenth.)

A. 6.4
B. 7.3
C. 8.5
D. 10.1


Answer: C

Mathematics

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Find the curvature of the curve r(t).r(t) = (7 + ln(sec t))i + (4 + t)k, -?/2 < t < ?/2

A. ? = -cos t B. ? = sin t C. ? = cos t D. ? = 1 - cos t

Mathematics

Assume that f is an even function, g is an odd function, and both f and g are defined on the entire real line. State whether the combination of functions (where defined) is even or odd.f ? f

A. Even B. Odd

Mathematics

Evaluate.52

A. -25 B. -10 C. 10 D. 25

Mathematics

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.49y2 - 64x2 = 3136

A. center at (0, 0)
transverse axis is y-axis
vertices: (0, -8), (0, 8)  
foci: (- , 0) , (, 0)
asymptotes of y = -  and y = 
B. center at (0, 0)
transverse axis is y-axis
vertices at (0, -8) and (0, 8)  
foci at (0, - ) and (0, )
asymptotes of y = -  and y = 
C. center at (0, 0)
transverse axis is x-axis
vertices: (-7, 0), (7, 0)  
foci: (- , 0) , (, 0)
asymptotes of y = -  and y = 
D. center at (0, 0)
transverse axis is x-axis
vertices: (-8, 0), (8, 0)  
foci: (-7, 0), (7, 0)
asymptotes of y = -  and y = 

Mathematics