A young-looking woman astronaut has just arrived home from a long trip. She rushes up to an old gray-haired man and in the ensuing conversation refers to him as her son. How might this be possible ?

Circle O has a radius of length r, and it is given that r>m.

(a). What is the locus of points in the exterior of circle O and at a distance m from the circle?

(b). What is the locus of points in the interior of circle O and at a distance m from the circle?

($c$). What is the locus of points at a distance m from circle O ?

How is Hector's body abused by the Greeks?

Write the following statement in symbolic form and construct a truth table. Then indicate one set of conditions that makes the compound statement false. "If you have a job and do not have aggravations , then you do not have a job." (Malcolm Forbes)

In a binary star system, two stars follow circular orbits about their common center of mass. If the stars have masses $m_1$ and $m_2$ and are separated by a distance $r$, show that the period of rotation is related to $r$ by $T^2=4 \pi^2 r^3 /\left[G\left(m_1+m_2\right)\right]$.

Which particle experiences the largest centripetal force in a centrifuge? (a) a $0.05 \mathrm{~g}$ particle at a distance of $2 \mathrm{~cm}$ from the centre (b) a $0.05 \mathrm{~g}$ particle at a distance of $5 \mathrm{~cm}$ from the centre (c) a $0.1 \mathrm{~g}$ particle at a distance of $2 \mathrm{~cm}$ from the centre (d) a $0.1 \mathrm{~g}$ particle at a distance of $5 \mathrm{~cm}$ from the centre

A young hockey player stands at rest on the ice holding a 1.3-kg helmet. The player tosses the helmet directly in front of him with a speed of 6.5 m/s and recoils with a speed of 0.25 m/s. What is the mass of the hockey player?

Describe the distance from -7 to 0.

In this task, use trigonometric substitution to find or evaluate the integral.

$$\displaystyle\int \frac{-12}{x^2 \sqrt{4-x^2}} d x$$

In this task, find the integral using each method.

$$\int x \sqrt{4+x} d x$$

Integration by parts: $d v=\sqrt{4+x} d x$

Name each of the following compounds.

d. $\text{SiBr}_4$

At the end of August, Rothchild Company had completed Jobs 40 and 42. Job 40 is for 10,000 units, and Job 42 is for 11,000 units. Using the data from Practice Exercises 17-1B, 17-2B, and 17-4B, determine (a) the balance on the job cost sheets for Jobs 40 and 42 at the end of August and (b) the cost per unit for Jobs 40 and 42 at the end of August.

Repeat the above problem, except consider that there will be the following elements added to the system:

• A fully open gate value near the water main
• A fully open butterfly valve near the green (but before point $B$ )
• Three standard $90^{\circ}$ elbows
• Two standard $45^{\circ}$ elbows
• One swing-type check valve

In examining borrower characteristics versus loan delinquency, a bank has collected the following information: (1) $15 \%$ of the borrowers who have been employed at their present job for less than 3 years are behind in their payments, (2) $5 \%$ of the borrowers who have been employed at their present job for at least 3 years are behind in their payments, and (3) $80 \%$ of the borrowers have been employed at their present job for at least 3 years. Given this information: In examining borrower characteristics versus loan delinquency, a bank has collected the following information: (1) $15 \%$ of the borrowers who have been employed at their present job for less than 3 years are behind in their payments, (2) $5 \%$ of the borrowers who have been employed at their present job for at least 3 years are behind in their payments, and (3) $80 \%$ of the borrowers have been employed at their present job for at least 3 years. Given this information:

a. What is the probability that a randomly selected loan account will be for a person in the same job for at least 3 years who is behind in making payments?