An isosceles triangle is a triangle in which two sides are equal in length. The angle between the two equal sides is called the vertex angle, while the other two angles are called the base angles. If the vertex angle is 60°, what is the measure of the base angles?
?
A. 50°
B. 60°
C. 45°
D. 80°
E. 65°
Answer: B
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Simplify the rational expression. If the rational expression cannot be simplified, so state.
A. y2 - 4
B. cannot be simplified
C. 
D. y2 + 2y + 4
Find the smallest value of N that will make the inequality hold for all n > N.
< 10-2
A. 40 B. 36 C. 33 D. 38
Solve the problem.Use regression to find constants a, b, c, and d so that f(x) = a sin (bx + c) + d models the data given below. Round all answers to 9 decimal places.
A. 5.277184939; 0.062976370; -2.042562480; 6.904195597 B. 4.708150061; 1.025102863; -2.474285177; 7.076487153 C. 5.099259265; 0.531578044; -1.738394218; 8.659926499 D. 5.099259265; 0.531578044; -1.738394218; 6.659926499
Solve the problem.In a certain state, it is determined that 87% of all registered Republicans vote for Republican candidates, with the remainder voting for Democratic candidates. It is also determined that 84% of all registered Democrats vote for Democratic candidates, with the remainder voting for Republican candidates. The percent of voters predicted to vote for each party in the next election is given by 
= 
where x is the percent of registered Republicans and y
is the percent of registered Democrats. If 
and 
, what percent of voters are predicted to vote for Democratic candidates in the next election? Round your answer to the nearest percent.
A. 87%
B. 84%
C. 54%
D. 46%