A dart board is made of three concentric circles of radius 2, 4, 6 units. A dart thrown at the dart board lands in a random spot on the board. What is the probability that it lands in the bull's-eye?

At what value of x does the quadratic function $f(x)=a x^{2}+b x+c, a \neq 0,$ have a stationary point? Under what conditions is the stationary point a local maximum or a local minimum?

Provide structures for the semicarbazone and the $2,4$-dinitrophenylhydrazone of citral.

How is economic growth measured? Why is economic growth important? Why could the difference between a $2.5$ percent and a $3$ percent annual growth rate be of great significance over several decades?

Draw structures for the following: (a) 2,4-Dinitrophenol (b) m-Ethylphenol

People with diabetes measure their fasting plasma glucose (FPG; measured in units of milligrams per milliliter) after fasting for at least 8 hours. Another measurement, made at regular medical checkups, is called HbA. This is roughly the percent of red blood cells that have a glucose molecule attached. It measures average exposure to glucose over a period of several months. The table below gives data on both HbA and FPG for 18 diabetics five months after they had completed a diabetes education class.

$$\begin{array}{ccc|cccc} \hline & \text { HbA } & \text { FPG } & & \text { HbA } & \text { FPG } \\ \text { Subject } & (\%) & (\mathrm{mg} / \mathrm{mL}) & \text { Subject } & (\%) & (\mathrm{mg} / \mathrm{mL}) \\ 1 & 6.1 & 141 & 10 & 8.7 & 172 \\ 2 & 6.3 & 158 & 11 & 9.4 & 200 \\ 3 & 6.4 & 112 & 12 & 10.4 & 271 \\ 4 & 6.8 & 153 & 13 & 10.6 & 103 \\ 5 & 7.0 & 134 & 14 & 10.7 & 172 \\ 6 & 7.1 & 95 & 15 & 10.7 & 359 \\ 7 & 7.5 & 96 & 16 & 11.2 & 145 \\ 8 & 7.7 & 78 & 17 & 13.7 & 147 \\ 9 & 7.9 & 148 & 18 & 19.3 & 255 \\ \hline \end{array}$$

Subject 15 is an outlier in the y direction. What effect do you think this subject has on the correlation? What effect do you think this subject has on the equation of the least-squares regression line? Calculate the correlation and equation of the least-squares regression line with and without this subject to confirm your answer.

One industrial process has an energy consumption of $18.5 \mathrm{kWh} / \mathrm{kg}$ of $\mathrm{Mg}$. How many joules are required per mole $(1 \mathrm{kWh}=1$ kilowatt-hour $=$ $\left.3.6 \times 10^6 \mathrm{~J}\right)$? How does this energy compare with the energy of the following process?

$$\begin{align*} \mathrm{MgCl}_2(\mathrm{~s}) \rightarrow \mathrm{Mg}(\mathrm{s})+\mathrm{Cl}_2(\mathrm{~g}) \end{align*}$$

Identify and describe two muscle tissues.

Approximately how many oxygen molecules arrive each second at the mitochondrion of an active person with a mass of $84 \mathrm{~kg}$ ? The following data are available: Oxygen consumption is about $40 . \mathrm{mL}$ of $\mathrm{O}_2$ per minute per kilogram of body weight, measured at $T=300 .\ \mathrm{K}$ and $P=1.00 \mathrm{~atm}$. In an adult there are about $1.6 \times 10^{10}$ cells per kg body mass. Each cell contains about 800 . mitochondria.

Evaluate each expression. a. 2^4 b. 5^3 c. 8.3^2 d. 1^9 e. 13^1 f. 56.8^0 g. 10^5 h. 100^2 i. 0^12 j. eleven squared k. one and three-tenths cubed l. seven squared times two cubed m. three to the fifth power n. four squared cubed

Infection that weakens the heart muscle is called _______.

Deflections of diving boards A diver stands at the very end of a diving board before beginning a dive. The deflection $d$ of the board at a position $s$ feet from the stationary end is given by $d=c s^2(3 L-s)$ for $0 \leq s \leq L$, where $L$ is the length of the board and $c$ is a positive constant that depends on the weight of the diver and on the physical properties of the board (see the figure). Suppose the board is $10$ feet long.

If the deflection at the end of the board is $1 \mathrm{foot}$, find $c$.

Which end of the muscle typically moves?

Complete the square for this expression. Write the resulting expression as a binomial squared.

$$x^2-x+ \square$$