Every year at the beginning of flu season, many people, including the elderly, get a flu shot to reduce their chances of contracting the flu. One result is that people who do not get a flu shot are less likely to contract the flu.

On the graph that follows, show the effects of this externality by drawing in and labeling any additional curves that are needed and by labeling the efficient quantity and the efficient price of flu shots. Label the area representing deadweight loss in this market.

It takes a force of 12 N to stretch a spring 0.16 m. (a) What is the period of oscillation when a 2.2-kg mass is attached to the spring? (b) What is the frequency of oscillation in this case?

The rooftop of Angelo's house creates an equilateral triangle with the attic floor. Angelo wants to divide his attic into 2 equal parts. He thinks he should divide it by placing a wall from the center of the roof to the floor at a $90^{\circ}$ angle. If Angelo does this, then each section will share a side and have corresponding $90^{\circ}$ angles. What else must be explained to prove that the two triangular sections are congruent?

Every year at the beginning of flu season, many people, including the elderly, get a flu shot to reduce their chances of contracting the flu. One result is that people who do not get a flu shot are less likely to contract the flu.

What type of externality (negative or positive) arises from getting a flu shot?

A true-or-false quiz contains four questions. Design and describe a simulation you could use to find the probability of guessing three questions correctly.

(I) The predominant frequency of a certain fire truck's siren is $1350 \mathrm{~Hz}$ when at rest. What frequency do you detect if you move with a speed of $30.0 \mathrm{~m} / \mathrm{s}(a)$ toward the fire truck, and $(b)$ away from it?

What tools does the Fed use to expand and contract the money supply?

If the demand curve is a line, we can write p=b+mq, where p is the price of the product, q is the quantity sold at that price, and b and m are constants. (b) Find the marginal revenue function.

Solve each equation. If the equation is an identity or if it has no solution, write identity or no solution. 30 = 8 - 2x

A caricature is a drawing of a person that exaggerates features to satirize that person or to highlight some aspect of his or her character. Draw a caricature of Prufrock based on details in "The Love Song of J. Alfred Prufrock." Display your drawing for the class.

Determine whether the equality is an identity or an equation. If it is an identity, prove it. If it is an equation, solve it for $(0\leq x < 2\pi)$.

$$\sin x \cos x - 1 = \cos x - \sin x$$

Capitalize important words in the title of a visual.
Do not capitalize prepositions, articles, or conjunctions shorter than five letters in a title, unless they are the first or last word of the title. Capitalize the first word of a subtitle following a colon.
Grades at a Glance
Capitalize each of the following visual titles.
distribution of income across the population: the united states from $1900$ to $2000$

Assume that the shortest person in your group is 1 unit tall and do the following:
a. Find rational numbers to approximately represent the heights of other members of the group.
b. Make a number line and plot the rational number for each person ordered according to height.

The given figure gives stem-and-leaf displays of the payment times in Table $2.4$ and of the bottle design ratings in Table $1.6$. Describe the shapes of the two displays.