True or False: A right triangle has one right angle, one obtuse angle, and one acute angle. If false, explain why.

What type of transformation preserves angle but does not preserve distance?

Which of the following is NOT an undefined term? A. point B. line C. ray D. plane

Write the conditional statement p→q, the converse q→p, the inverse ~p→~q, and the contrapositive ~q→~p in words. Then decide whether the statement is true or false. Let p be "it is Valentine's Day" and let q be "it is February".

Suppose a Carnot engine can be operated between two reservoirs as either a heat engine or a refrigerator. How is the coefficient of performance of the refrigerator related to the efficiency of the heat engine?

Having which of the following makes it easier for oligopolies to coordinate on raising prices? A. a large number of firms B. differentiated products C. buyers with bargaining power D. identical perceptions of fairness E. complex pricing schemes

What is the Ratio Test inconclusive for summation n=1 to infinite (-3)^n-1/n^1/2 (that is, it fails to give a definite answer)?

Determine the general solution to the linear system

$$\mathbf { x } ^ { \prime } = A \mathbf { x }$$

for the given matrix A.

$$\left[ \begin{array} { r r } { 3 } & { 13 } \\ { - 1 } & { - 3 } \end{array} \right].$$

If c and d are different positive integers and

$$4c + d = 26,$$

what is the sum of all possible values of c?

$$A \ 6 \\ B \ 10 \\ C \ 15 \\ D \ 21$$

Find general solutions of the differential equation. Primes denote derivatives with respect to $x$.

$$4 y ^ { \prime \prime } + 8 y ^ { \prime } + 3 y = 0$$

Acid or subtract. $\frac { 6 r s } { r ^ { 2 } s ^ { 2 } } + \frac { 18 r } { r ^ { 2 } s ^ { 2 } }$

Of the seventeen students in Angela's class, eight play in the school band. What fraction of the total number of students in Angela's class are in the band?

Evaluate or simplify each expression without using a calculator.

$$\log 10 ^ { 7 }$$

How did disagreements over rule between the Stuarts and Parliament lead to the English Civil War?