Identify die subject complement in each of the following sentence, Indicate whether the complement Is a *predicate nominative *or a predicate adjective.

Example: In Latvian mythology, Meness is the god of the moon and the protector of travelers and soldiers. god—predicate nominative; protector—predicate nominative

In order to survive, young mountain goats must be quick and sure-footed.

A young woman on a skateboard is pulled by a rope attached to a bicycle. The velocity of the skateboarder is $\overrightarrow{\mathbf{v}}=(4.1 \mathrm{~m} / \mathrm{s}) \hat{\mathbf{x}}$ and the force exerted on her by the rope is $\overrightarrow{\mathbf{F}}=(17 \mathrm{~N}) \hat{\mathbf{x}}+(12 \mathrm{~N}) \hat{\mathbf{y}}$. Find the work done on the skateboarder by the rope in 25 seconds.

The set of numbers in the form $\frac{a}{b}$, where $a$ and $b$ belong to the set in statement 3 above and $b \neq 0$, is called the set of_______ numbers.

Discuss the following problem. Explain the difference between resolution and magnification.

What mass of aluminum is produced by the decomposition of $5.0 \mathrm{~kg} \mathrm{Al} \mathrm{O}_3$ ? How many moles of oxygen are produced?

What is the given quantity?

What is the unknown quantity?

Write the balanced decomposition reaction.

What conversion factors are needed to find the mass of aluminum produced? The moles of oxygen produced?

mass Al

mol 0

Find the molar mass ratios needed for both problems.

Substitute numbers into the conversion factors and calculate your answers.

mass Al

mol 0

Check your answers.

A judge concludes that there is a 20 percent chance that a certain defendant will fail to appear in court if he is released after paying a full cash bail deposit. Which type of probability (classical, empirical, subjective) do you think this is?

A $25~\mu \mathrm{F}$ capacitor is connected to an emf given by $v(t)=(160 \mathrm{~V}) \sin (120 \pi t)$. $(a)$ What is the reactance of the capacitor? $(b)$ Write an expression for the current output of the source.

In this task, find the indefinite integral using the given method.

$$\text{Integral:} \displaystyle\int x^4 \ln x d x,\quad\text{Method: Integration by parts}$$

Make sketches to guide your thinking in answering the following questions:

a. How many centimeter cubes does it take to make a 2 cm by 2 cm by 2 cm cube?

b. How many centimeter cubes does it take to make a 3 cm by 3 cm by 3 cm cube?

c. Are the two large cubes in parts (a) and (b) similar? Explain.

d. How do the surface areas of the two cubes compare? There are two ways to answer: (1) direct counting of squares to cover, and (2) the theory of how the scale factor is involved.

e. How do the volumes of the two cubes compare?

Identify the type of conic section described. The conic section consisting of the set of points in a plane for which the distance from the point ( 2, 0) is one-third of the distance from the line x=10

A recent article states that there is a 2 percent chance that an asteroid 100 meters or more in diameter will strike the earth before 2100. Which type of probability (classical, empirical, subjective) do you think this is?

How would the behavior of the negatively charged toy bowling ball in the figure differ if the ball was released from a greater distance? A shorter distance? Draw an energy bar chart for each case.

Simplify problem.

$$\left( - \frac { 2 } { 3 } \right) ^ { 2 }$$

Marcus and Oliver were taking an algebra course and liked to make up challenging problems for the other to solve. One day at lunch, Marcus had a double cheeseburger and a large order of fries. Marcus: “I have a total of 48 g of fat. Can you tell me how many grams of fat are in the cheeseburger and in the fries?” Oliver: “That problem has an infinite number of solutions, you need to give me more information." Marcus: “OK, the fries have 2 more grams of fat than the cheeseburger.” Oliver: “That helps. That gives me a system of equations I can solve.” Find the system of equations and its solution for Oliver.