Simplify the algebraic expression.(10z + 7) - (2z - 3)

A. 12z + 10
B. 8z + 10
C. 8z + 4
D. 8z - 10


Answer: B

Mathematics

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Find the curvature ? for the given function.r(t) = ti + (sinh t)j + (cosh t)k 

A. ? = 
B. ? = sinh2 t
C. ? = 
D. ? = cosh2 t

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Solve the problem.A country consists of six states, with the state's populations given in the following table. The number of seats to be apportioned is M = 100. Find the apportionment under the Huntington-Hill method.  

A. A:32; B:21; C:19; D:13; E: 5; F: 10 B. A:32; B:21; C:20; D:12; E: 5; F: 10 C. A:32; B:22; C:18; D:13; E: 5; F: 10 D. A:32; B:21; C:19; D:13; E: 6; F: 9 E. A:33; B:21; C:19; D:13; E: 5; F: 9

Mathematics

Provide an appropriate response.A student was asked to find ordered pairs that solve the system of equations x + 2y = 3 4x + 8y = 12.The student claims that (1, 1) and (-1, 2) are the only solutions. Is the student correct?

A. No B. Yes

Mathematics

Solve the problem.A boat can go 180 miles downstream in the same time it can go 120 miles upstream. The speed of the current is 4 miles per hour. Find the speed of the boat in still water.

A. 30 mph B. 16 mph C. 20 mph D. 24 mph

Mathematics