What is the Spanish word for dishwasher?

(a) What do you think the speaker might have said to Odysseus if he could have advised him during his journey? (b) Take a Position: Do you agree with this advice? Explain.

A local deli sells 4-inch sub sandwiches for $2.95. It has decided to sell a "family sub" that is 50 inches long. How much should it charge? What is the unit rate in dollars per foot? Show all work.

Simplify each expression.

$$\left( 3 t ^ { 2 } \right) ^ { 3 } \left( 2 t ^ { 0 } \right) ^ { - 3 }$$

Write each expression in simplest radical form. If a radical appears in the denominator, rationalize the denominator. $\sqrt{\frac{n}{m^{3}}}$

The equations of motion of three equal masses connected by springs of equal stiffness are

$$\begin{array}{l}{\ddot{x}=-2 x+y} \\ {\ddot{y}=x-2 y+z} \\ {\ddot{z}=y-2 z}\end{array}$$

Show that for normal modes of oscillation x = X cosωt, y = Y cosωt, z = Z cosωt to exist then the condition on $\lambda=\omega^{2}$ is

$$\left| \begin{array}{ccc}{\lambda-2} & {1} & {0} \\ {1} & {\lambda-2} & {1} \\ {0} & {1} & {\lambda-2}\end{array}\right|=0$$

Find the three values of λ that satisfy this condition, and find the ratios X : Y : Z in each case.

The formulas for permutations and combinations must always evaluate to a natural number. Explain why.

What is chromatin?

Mentally convert each base ten numeral to a numeral in the given base. 9 to base five

You are sitting on a stationary train next to an open window, and the pressure of the air in your inner ear is equal to the pressure outside your ear. The train starts up, and as it accelerates to a high speed, your ears "pop." Your eardrums respond to a decrease or increase in the air pressure by "popping" outward or inward, respectively. Assume that the air pressure in your inner ear has not had time to change, so it remains the same as when the train was stationary. Do your eardrums "pop" (a) outward or (b) inward?

Let A be the matrix of a function f from X to Y (relative to some orderings of X and Y). What conditions must A satisfy for f to be onto Y?

Determine whether the function has an inverse (is one-to-one). If so, find the inverse and graph both the $f(x)=x^{3}-2$

Write an equation of a parabola that satisfies the given conditions. a. The vertex is (1,-4), and one of its x-intercepts is 3. b. The x-intercepts are -1.5 and 1/3.

The cost of a home is financed with a $120,000 30-year fixed-rate mortgage at 4.5$

$$\begin{matrix} \text{Patment Number} & \text{Interest} & \text{Principal} & \text{Loan Balance}\\ \text{1}\\ \text{2}\\ \text{3}\\ \end{matrix}$$

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