Solve the problem.Given the following voter profile, determine who has the majority of first place votes and then use the Borda Method to determine the outcome. Does the Borda method violate the majority criterion for the voter profile? 

A. a, a; no
B. a, c; yes
C. c, c; no
D. c, a; yes


Answer: C

Mathematics

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Find T, N, and B for the given space curve.r(t) = (cosh t)i   + (sinh t)j  + k 

A. T = -  (tanh t sech t)i  + j  + (sech t)k; N = (-sech t)i  - (tanh t)k
B. T = - (tanh t)i  + j  + (sech t)k; N = (-sech t)i  - (sinh t)k  ; 
C. T = (tanh t sech t)i  + j  + (sech t)k; N = (sech2 t)i  - (sinh t)k;  
D. T = (tanh t)i  + j  + (sech t)k; N = (sech t)i  - (tanh t)k

Mathematics

Solve for the principal.Brianna notes that her savings account earned $117.67 in 3 months. If the account earns 5.4% simple interest, then what was her principal?

A. $14,817.27 B. $7844.44 C. $8716.30 D. $18,303.68

Mathematics

Solve the problem.A thermometer is taken from a room at 71°F to the outdoors where the temperature is  Determine what the reading on the thermometer will be after 5 minutes, if the reading drops to after 1 minute. Assume the cooling follows Newton's Law of Cooling:   U = T + (Uo - T)ekt.(Round your answer to two decimal places.)

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

Mathematics

Let U = {all soda pops}; A = {all diet soda pops};   and  Describe the given set in words.(A ? B) ? C'

A. All cola soda pops not in cans B. All non-diet, non-cola soda pops not in cans C. All soda pops that are diet colas or not in cans D. All diet-cola soda pops not in cans

Mathematics