Find the English derivatives in the list of words and write the corresponding Latin word.

Find the English derivative in the sentence, then write the corresponding Latin word: Bats are nocturnal creatures.

A bag contains four red and two blue marbles. Three marbles are selected simultaneously. Determine the probablity that: only two are red

Consider the quadratic equation y = x^2 + 3x + 5. a. How can you use the discriminant to tell whether the equation has any real roots? b. How can you use your answer to 4a (or the discriminant) to determine the number of x-intercepts? c. Confirm your answers to 4a and b with a graph.

Determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a statement.

$$( \ln x ) ( \ln 1 ) = 0$$

Use context clues and the Latin word definitions to answer the following questions. The Latin word valere means "to be strong." What is the most likely meaning of valiantly as it is used in line 9 of the excerpt from The Canterbury Tales? A. Angrily B. Bravely C. Remarkably D. Tirelessly

Translate into Latin: "You must," said the king, "immediately tell me the names of my enemies."

Write the corresponding Latin word for the derivatives in the sentence: Please send this letter with a delivery confirmation.

Determine which property of determinants the equation

$$\begin{vmatrix} 5&4&2\\4&-3&4\\7&6&3\end{vmatrix}=-\begin{vmatrix} 5&4&2 \\-4&3&-4\\7&6&3\end{vmatrix}$$

Recall that there are five regular polyhedra: tetrahedron (4 faces), hexahedron or cube (6 faces), octahedraon (8 faces), dodecahedron (12 faces), and icosahedron (20 faces). Find or imagine pairs of dice in the shape of these polyhedra. The numbers on the faces of the tetrahedron are 1, 2, 3, and 4. The hexahedron (regular die) has the numbers 1, 2, 3, 4, 5, and 6. The remaining three pairs of dice have the numbers 1 to 8, 1 to 12, and 1 to 20 on their faces, respectively. a. Make a sample space chart for the octahedral dice. b. On which of the five pairs of dice is the probability of getting doubles the greatest? Explain why this is the case. c. If the number of faces on a pair of regular polyhedral dice is n, what is the probability (in terms of n) of rolling doubles with that pair of dice? d. For each type of dice, what is the mean of the probability distribution of the sum?

Compute the determinants in using a cofactor expansion across the first row.

$$\left| \begin{array}{lll}{4} & {3} & {0} \\ {6} & {5} & {2} \\ {9} & {7} & {3}\end{array}\right|$$

A circus performer begins his act by walking out along a nearly horizontal high wire. He slips and falls to the safety net, 25.0 ft below. The magnitude of his displacement from the beginning of the walk to the net is 26.7 ft. (a) How far out along the high wire did he walk? (b) Find the angle that his displacement vector makes below the horizontal.

Two blocks of copper, one of mass 1 kg and the second of mass 3 kg, are at the same temperature. Which block has more thermal energy? If the blocks are placed in thermal contact, will the thermal energy of the blocks change? If so, how?

In 2003, 54.6% of the male population in the 25–29 age group had never married. Seven males are randomly selected from that age group. Find the probability at least two have never married.