If it is possible to solve for $y$ in terms of $x$, do so. If not, write “Impossible”. (If necessary, review Section $1.1$).

$$-4x^2 + 3y + 12 = 0$$

The level of pesticides found in the blubber of whales is a measure of pollution of the oceans by runoff from land and can also be used to identify different populations of whales. A sample of eight male minke whales in the West Greenland area of the North Atlantic found the mean concentration of the insecticide dieldrin to be $\bar{x}$ = 357 nanograins per gram of blubber (ng/g). Suppose that the concentration in all such whales varies Normally with standard deviation $\sigma$ = 5O ng/g.

A 90% confidence interval to estimate the mean level is

(a) 346. 72 to 367 .28.

(b) 327.92 to 386.08.

(c) 311.36 to 402.54 .

(d) 274.75 to 439.25.

Find the conjugate of the expression. Then multiply the expression by its conjugate and simplify. $2+\sqrt{5}$

T.C. is a 49-year-old woman who underwent a vaginal hysterectomy and right salpingo-oophorectomy for abdominal pain and endometriosis. Intraoperatively, she had an intra-abdominal hemorrhage, requiring transfusion with 3 units of packed red blood cells (RBCs). T.C. is now being admitted to your unit from the postanesthesia care unit (PACU).

T.C.'s vital signs are $130 / 70,94,16,99.7^{\circ} \mathrm{F}\left(37.6^{\circ} \mathrm{C}\right)$. Respirations are shallow and her $\mathrm{Spo}_2$ is 93% with oxygen at 2 L by nasal cannula. She is easily aroused and oriented to place and person. She dozes between verbal requests. She has a low-midline abdominal dressing that is dry and intact, and a Jackson-Pratt drain that is fully compressed and has a scant amount of bright red blood. Her indwelling urinary catheter has clear yellow urine. She is receiving an IV of 1000 mL D5.45NS at 100 mL/hr in her left forearm, with no swelling or redness. T.C. is receiving IV morphine sulfate for pain control through a patient-controlled analgesia (PCA) pump. The settings are a dose of 2 mg, a lock-out interval of 20 minutes, 4-hour maximum dose of 30 mg. When aroused, she says that her pain is an 8 on a scale of 1 to 10. What concerns you most right now about T.C. and why?

A roadside fruit stand sells apples at 75 cents a pound, peaches at 90 cents a pound, and pears at 60 cents a pound. Muriel buys 18 lb of fruit at a total cost of 13.80 dollars. Her peaches and pears together cost 1.80 dollars more than her apples.

(a) Set up a linear system for the number of pounds of apples, peaches, and pears that she bought.

(b) Solve the system using Cramer's Rule.

Graph the given functions, f and g, in the same rectangular coordinate system. Select integers for x, starting with -2 and ending with 2. Once you have obtained your graphs, describe how the graph of g is related to the graph of f.

$$f ( x ) = x ^ { 3 } , g ( x ) = x ^ { 3 } + 2$$

Write each of the following items, using capital and lowercase letters where they are needed. If an item is already correct, write $C$.

EXAMPLE: governor Nellie Tayloe Ross Governor Nellie Tayloe Ross

the Los Angeles times

a. Find an equation for $f^{-1}(x)$.

b. Graph $f$ and $f^{-1}$ in the same rectangular coordinate system.

c. Use interval notation to give the domain and the range of $f$ and $f^{-1}$.

(Hint : To solve for a variable involving an nth root, raise both sides of the equation to the nth power: $(\sqrt[n]{y})^n=y$.)

$$f(x)=\sqrt{x-1}$$

Distinguish between vagina and uterus.

Mary Wilkinson, a candidate for city council, must decide whether to come out in favor of a new factory, be opposed to it, or waffle on the issue. The change in votes for Mary depends on what her opponent, Kevin Doherty, does with payoffs, as shown.

$$\begin{matrix} \text{ } & \text{ } & \text{ } & \text{Kevin } & \text{ }\\ \text{ } & \text{ } & \text{Favors} & \text{Waffles} & \text{Opposes}\\ \text{ } & \text{Favors} & \text{0} & \text{1200} & \text{4200}\\ \text{Mary} & \text{Waffles} & \text{-1000} & \text{0} & \text{600}\\ \text{ } & \text{Opposes} & \text{-5000} & \text{-2000} & \text{0}\\ \end{matrix}$$

Kevin conducts a new poll that shows strong support for the new factory. This changes the probability that he will oppose the factory to 0 and the probability that he will waffle to 0.3. What strategy should Mary adopt? What is the expected change in the number of votes now?

A flywheel $0.600 \mathrm{~m}$ in diameter pivots on a horizontal axis. A rope is wrapped around the outside of the flywheel, and a steady pull of $40.0 \mathrm{~N}$ is exerted on the rope. The flywheel starts from rest, and $5.00 \mathrm{~m}$ of rope are unwound in $2.00 \mathrm{~s}$.a) What is the flywheel's angular acceleration? b) What is the final angle of rotation? c) What is the kinetic energy it has left over? d) What is its moment of inertia with respect to the axis of rotation?

Sketch the graphs of the three functions by hand on the same rectangular coordinate system. Verify your results with a graphing utility.

$$\begin{array}{l}{f(x)=\frac{1}{2} x} \\ {g(x)=\frac{1}{2} x+2} \\ {h(x)=4(x-2)}\end{array}$$

______ binding is when the compiler binds member function calls at compile time.

Give the diameter of L .