Hypotheses are best described as:

A. assumptions.

B. replications.

C. explanations.

D. predictions.

From the list below, supply the words needed to complete the paragraph. Some words will not be used.

$$\begin{array}{llll}\text { recoil } & \text { bombast } & \text { paleontology } & \text { panache } \\ \text { flaunt } & \text { elicit } & \text { shibboleth } & \text { aggrandize } \\ \text { obviate } & \text { endemic } & & \end{array}$$

When Dr. Carter is not fulfilling his duties as the professor of .... at Ganton College, he is in the jungles of South America supervising excavations of ancient creatures. During the last dig, Dr. Carter .... when a poisonous snake tried to bite him. Now he wears tall boots and gloves to .... the risk of dangerous animals .... to the region. He will definitely .... the need for such safety measures. Some of the incoming scientists will accuse him of self ..... despite the fact that the sociable doctor always avoids using too much .... when speaking about safety; he'll ..... his findings when he returns to the campus at the end of the summer. He can put his .... to better use in the classroom.

Complete and balance these equations :

(a) $\mathrm{CO}_2+\mathrm{H}_2 \mathrm{O} \longrightarrow$
(b) $\mathrm{MgSO}_4 \cdot 7 \mathrm{~H}_2 \mathrm{O} \stackrel{\Delta}{\longrightarrow}$
(c) $\mathrm{C}_3 \mathrm{H}_7 \mathrm{OH}+\mathrm{O}_2 \stackrel{\Delta}{\longrightarrow}$
propyl alcohol (d) $\mathrm{HNO}_3+\mathrm{Ba}(\mathrm{OH})_2 \longrightarrow$
(e) $\mathrm{BaO}+\mathrm{H}_2\mathrm{O} \longrightarrow$
(f) $\mathrm{Ca}(\mathrm{OH})_2 \stackrel{\Delta}{\longrightarrow}$

Prove that if any two tangent lines to a parabola intersect at right angles, their point of intersection must lie on the directrix.

Varenicline (trade name Chantix) is a drug used to help smokers quit their habit.

(a) Which N atom in varenicline is most basic? Explain your answer.

(b) What product is made when varenicline is treated with HCI?

Alcohol wiped across a tabletop rapidly disappears. What happens to the temperature of the tabletop? Why?

On the basis of your calculations, explain why the shoe-shop owner might find it difficult to choose between the two locations.

$$\begin{array}{|c|c|c|} \hline \textbf { Year } & \textbf { Location A } & \textbf { Location B } \\ \hline 0 & (\$ 12000) & (\$ 12000) \\ \hline 1 & \$ 3000 & \$ 6000 \\ \hline 2 & \$ 4000 & \$ 5000 \\ \hline 3 & \$ 5000 & \$ 3000 \\ \hline 4 & \$ 6000 & \$ 2000 \\ \hline 5 & \$ 5000 & \$ 5000 \\ \hline \end{array}$$

$$\begin{array}{|l|c|c|c|c|} \hline \textbf { Year } & 1 & 2 & 3 & 4 \\ \hline \textbf { Discount factors @ 10\% } & 0.91 & 0.83 & 0.75 & 0.68 \\ \hline \end{array}$$

For each set of terms below, choose the one term that does not belong and explain why it does not belong. actin, melanin, myosin.

Involves practices including asking questions and constructing explanations

Sketch a graph of u, v, and u+v. Then demonstrate the triangle inequality using the vectors u and v. u = ⟨-3, 2⟩, v = ⟨1, -2⟩

In the Great Lakes, zebra mussel concentrations of up to 700,000 per square meter have been reported. At this density, how many zebra mussels were there per 1 square centimeter?

For an interarrival distribution F having mean $\mu$, we defined the equilibrium distribution of $F$, denoted $F_e$, by

$$F_e(x)=\frac{1}{\mu} \int_0^x[1-F(y)] d y$$

a) Show that if $F$ is an exponential distribution, then $F=F_e$.

b) If for some constant $c$,

$$F(x)= \begin{cases}0, & x<c \\ 1, & x \geq c\end{cases}$$

show that $F_e$ is the uniform distribution on $(0, c)$. That is, if interarrival times are identically equal to $c$, then the equilibrium distribution is the uniform distribution on the interval $(0, c)$.

c) The city of Berkeley, California, allows for two hours parking at all nonmetered locations within one mile of the University of California. Parking officials regularly tour around, passing the same point every two hours. When an official encounters a car he or she marks it with chalk. If the same car is there on the official's return two hours later, then a parking ticket is written. If you park your car in Berkeley and return after three hours, what is the probability you will have received a ticket?

What is an example of alliteration in The Hill We Climb?

Solve the system by using Gaussian elimination or Gauss-Jordan elimination.

$$\begin{aligned}-2 x+5 y-4 z &=-4 \\ x-2 y+z &=3 \\ x-5 y+9 z &=-5 \end{aligned}$$