The Lincoln Saltdogs is a professional minor league baseball team in the American Association league. The clubhouse is insured for $600,000 under a commercial property insurance policy with an 80 percent coinsurance clause. The current replacement cost of the clubhouse is$1 million. After a playoff game for the league championship, a whirlpool tub for the players shorted out, and a fire ensued. The clubhouse sustained a $100,000 fire loss. Ignoring any deductible, how much will the team’s insurer pay for the loss?

Which worms can be found in the eye? Which causes blindness?

A small charged ball is inserted into a balloon. The balloon is then blown up slowly. Describe how the flux through the balloon's surface changes as the balloon is blown up. Consider both the total flux and the flux per unit surface area of the balloon.

A radioactive substance ${R_{1}}$ having decay rate $k_{1}$ disintegrates into a second radioactive substance ${R_{2}}$ having decay rate ${k_{2} \neq k_{1}}$. Substance ${R_{2}}$ disintegrates into ${R_{3}}$, which is stable. If ${m_{i}(t)}$ represents the mass of substance ${R_{i}}$ at time ${t}$, ${i = 1, 2, 3}$, the applicable equations are

$$\begin{gather*} m'_{1} = −k_{1} m_{1} m'_{2} = k_{1} m_{1} − k_{2} m_{2} m'_{3} = k_{2} m_{2}. \end{gather*}$$

Use the Laplace transform to solve this system under the conditions

$$\begin{gather*} m_{1}(0) = m_{0}, m_{2}(0) = 0, m_{3}(0) = 0. \end{gather*}$$

The following list of matrices and their respective characteristic polynomials is referred to in Exercise.

$$A=\left[\begin{array}{rr} 2 & -1 \\ -1 & 2 \end{array}\right]$$

, $p(t) = (t − 3)(t − 1),$

$$B=\left[\begin{array}{cc} 1 & -1 \\ 1 & 3 \end{array}\right]$$

, $p(t)=(t-2)^{2}$,

$$C=\left[\begin{array}{rrr} -6 & -1 & 2 \\ 3 & 2 & 0 \\ -14 & -2 & 5 \end{array}\right]$$

, $p(t)=-(t-1)^{2}(t+1)$,

$$D=\left[\begin{array}{rrr} -7 & 4 & -3 \\ 8 & -3 & 3 \\ 32 & -16 & 13 \end{array}\right]$$

, $p(t)=-(t-1)^{3}$,

$$E=\left[\begin{array}{llll} 6 & 4 & 4 & 1 \\ 4 & 6 & 1 & 4 \\ 4 & 1 & 6 & 4 \\ 1 & 4 & 4 & 6 \end{array}\right]$$

, $p(t) =(t + 1)(t + 5)^2(t − 15),$,

$$F=\left[\begin{array}{rrr} 1 & -1 & -1 & -1 \\ -1 & 1 & -1 & -1 \\ -1 & -1 & 1 & -1 \\ -1 & -1 & -1 & 1 \end{array}\right]$$

, $p(t)=(t+2)(t-2)^{3}$. Find a basis for the eigenspace $E_{\lambda}$ for the given matrix and the value of $\lambda$. Determine the algebraic and geometric multiplicities of $\lambda$. $E, \lambda=-1$

From the data in Figure 9-12, the formation of a gaseous anion $\mathrm{Li}^{-}$appears energetically favorable. That is, energy is given off when gaseous $\mathrm{Li}$ atoms accept electrons. Comment on the likelihood of forming a stable compound containing the $\mathrm{Li}^{-}$ion, such as $\mathrm{Li}^7 \mathrm{Li}^{-}$or $\mathrm{Na}^{+} \mathrm{Li}^{-}$.

Tell that if a $3 \times 4$ matrix is written down at random, what type of reduced echelon form is it likely to have and why?

What is the energy of a photon that has a wavelength of $\ce{13.2 nm}$?

Identify:

a) Hohokams,

b) Anasazi,

c) Mound Builders,

d) Inuits,

e) Iroquois League.

A hollow, conducting sphere with an outer radius of $0.250 \textrm{ m}$ and an inner radius of $0.200 \textrm{ m}$ has a uniform surface charge density of $+ 6.37 \times 10 ^ { - 6 } \mathrm { C } / \mathrm { m } ^ { 2 }$. A charge of $- 0.500 \mu C$ is now introduced at the center of the cavity inside the sphere.

(a) What is the new charge density on the outside of the sphere?

(b) Calculate the strength of the electric field just outside the sphere.

(c) What is the electric flux through a spherical surface just inside the inner surface of the sphere?

P.T. is a married 30-year-old gravida 4, para 1-2-0-3 at 28 weeks' gestation. She arrives in the labor and delivery unit reporting lower back pain and frequency of urination. She states that she feels occasional uterine cramping and does not believe that her membranes have ruptured.

P.T.'s history reveals that she had 1 preterm delivery 4 years ago at 31 weeks gestation. The newborn girl was in the neonatal intensive care unit (NICU) for 3 weeks and discharged without sequelae. The second preterm newborn, a boy, was delivered 2 years ago at 35 weeks gestation and spent 4 days in the hospital before discharge. She has no other risk factors for preterm labor. Vital signs are normal. Her vaginal examination findings indicate her cervix to be long, closed, and thick with membranes intact. Abdominal examination revealed that the abdomen was non-tender, with fundal height at 29 cm, and the fetus was in a vertex presentation.

While waiting for lab results, you consider that if P.T. is actually experiencing preterm labor, she would receive antenatal glucocorticoids. How long do these drugs take to become effective?

At first, Bauby's eye movements must have seemed like random, _______ blinks. a. swift b. impatient c. confused d. meaningless

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

$$\begin{array}{llll}\text { veritable } & \text { discretionary } & \text { moribund } & \text { draconian } \\ \text { analgesic } & \text { flummox } & \text { noisome } & \end{array}$$

Randy's decision to go camping was entirely _____ , but after the experience, he knew that he wouldn't be returning to the great outdoors again in the near future. On the first day, a bee stung him near his eye and caused it to swell shut. That night, as he applied a topical _____ to reduce the pain of the sting, he was overwhelmed by the _____ odor of a skunk-a skunk in his tent. Once he'd taken an emergency bath in the river, after being sprayed by the skunk, Randy helped his family pack up the car and leave, three days early. Randy's bad luck on the trip _____ him; he had never had such a miserable time in the wilderness. He thought that the trip might renew his _____ sense of adventure after working eight years in an office cubicle as a computer network administrator, but instead it caused him to think of how great it would be to go home to a clean shower, relax on the sofa, and maybe watch a movie in his skunk- and insect-free living room.

Define a flux integral and explain how it is evaluated.