Does the graph of $- 8 x ^ { 2 } - 12 = 3 - y$ open upward or downward?

Use Figure the periodic table to list all the (a) inert gases, (b) alkalis, (c) halogens, and (d) alkaline earths.

A $20-\text{lb}$ weight is attached to the lower end of a coil spring suspended from a beam and comes to rest in its equilibrium position. The weight is then pulled down $1$ ft below its equilibrium position and released at $t=0$ with an initial velocity of $v_0\,\,\text{ft}/\text{sec}$, directed downward. Neglect the resistance of the medium. Determine the spring constant $k$ and the initial velocity $v_0$ if the amplitude of the resulting motion is $\sqrt{17}/4$ and the period is $\pi/4$.

A radio tower 500 feet high is located on the side of a hill with an inclination to the horizontal of $5^{\circ}$. How long should two guy wires be if they are to connect to the top of the tower and be secured at two points 100 feet directly above and directly below the base of the tower?

Choose the letter for the best answer. Adam and his two brothers went to the zoo. Each ticket to enter the zoo costs $7. Adam bought two bags of peanuts for$4 each, and one of his brothers bought a lion poster for $12. Which expression shows how much money they spent at the zoo in all? A. 7 + 4 + 12 B.$7 \times 3 + 4 + 12$C.$7 \times 3 + 4 \times 2 + 12$D.$( 7 \times 3 ) + ( 4 \times 12 )$

Find the indicated number of elements by referring to the following table of enrollments in a finite mathematics class: $$ \begin{matrix} \text{} & \text{Freshmen} & \text{Sophomores}\\ \text{Arts & Sciences} & \text{19} & \text{14}\\ \text{Business} & \text{66} & \text{21}\\ \end{matrix} $$ Let the universal set U be the set of all 120 students in the class, A the set of students from the College of Arts & Sciences, B the set of students from the College of Business, F the set of freshmen, and S the set of sophomores. $n(A)$

What is the relationship between the hydroxide ion and a water molecule? (a) A hydroxide ion is a water molecule plus a proton. (b) A hydroxide ion and a water molecule are the same thing. (c) A hydroxide ion is a water molecule minus a hydrogen nucleus. (d) A hydroxide ion is a water molecule plus two extra electrons.

Describe the processes that are involved in community assembly.

Evaluate the limit.

$$\lim _ { x \rightarrow 0 } \frac { e ^ { 2 x } - 1 - x } { x ^ { 2 } }$$

Does monetary policy or fiscal policy most directly affect the economy? Why?

What happens to the uterine wall as it prepares for zygote? (a) The wall shrinks. (b) The wall dissolves. (c) The wall thickens. (d) The wall sheds skin cells.

Consider the policies of Abraham Lincoln and Jefferson Davis. How did each man's political leadership affect the outcome of the Civil War?

(a) Consider a CMOS inverter fabricated in a deep-submicron technology utilizing transistors with the minimum allowed channel length and having an equivalent load capacitance C. Let $v_{I}$ rise instantaneously to $V_{D D}$ and assume that $Q_{P}$ turns off and $Q_{N}$ turns on immediately. Ignoring channel-length modulation, that is, $\lambda=0,$ and assuming $Q_{N}$ operates in the velocity-saturation region, show that $t_{P H L}=\frac{C V_{D D}}{2 I_{D s a t}}$ (b) Using the equivalent resistance of $Q_{N}$ show that $t_{P H L}=0.69 C \frac{12.5 \times 10^{3}}{(W / L)_{n}}$ (c) If the formulas in (a) and (b) are to yield the same result, find $V_{D S \mathrm{sat}}$ for the NMOS transistor for a $0.13-\mu \mathrm{m}$ technology characterized by $V_{D D}=1.2 \mathrm{V}, V_{t}=0.4 \mathrm{V},$ and $\mu_{n} C_{o x}=325 \mu \mathrm{A} / \mathrm{V}^{2}.$

It costs $136 for 16 students to visit a museum. How much does it cost for 25 students?