Write each as an integer. $4 gain _____

A person has a hearing threshold 10 dB above normal at 100 Hz and 50 dB above normal at 4000 Hz. How much more intense must a 100-Hz tone be than a 4000-Hz tone if they are both barely audible to this person?

The voltage gain of an amplifier decreases $20 \mathrm{~dB}$ per decade above $20 \mathrm{kHz}$. If the mid-band voltage gain is $86 \mathrm{~dB}$, what is the ordinary voltage gain at $20 \mathrm{MHz}$?
a. 20
c. 2000
b. 200
d. 20,000

Answer the question. If six horses start and finish a race, how many different orders of finish are possible?

A company estimates that the daily cost, in dollars, for producing $q$ cans of its new energy drink is

$$C(q)=380+0.32 q+0.0002 q^2$$

The revenue, in dollars, the company earns from selling $q$ cans is given by

$$R(q)=1.36 q-0.0001 q^2$$

(a) Write a function for the profit $P$ the company earns after selling $q$ cans of the drink each day. (b) Write equations for the average revenue and marginal revenue functions. (c) Find the number of cans the company should produce daily in order to maximize profit.

A seafood restaurant claims an increase of $1,750.00 over its average profit during a week where it introduced a special of baked clams. a. If this is true, how much extra profit did it receive per day? b. If it had, instead, lost$150 per day, how much money would it have lost for the week? c. If its total loss was $490 for the week, what was its average daily change?

Identify the base and exponent in the expression.

$$-6^3$$

Although most of us buy milk by the quart or gallon, farmers measure daily production in pounds. Ayrshire cows average 47 pounds of milk a day, with a standard deviation of 6 pounds. For Jersey cows, the mean daily production is 43 pounds, with a standard deviation of 5 pounds. Assume that Normal models describe milk production for these breeds. a) We select an Ayrshire at random. What’s the probability that she averages more than 50 pounds of milk a day? b) What’s the probability that a randomly selected Ayrshire gives more milk than a randomly selected Jersey? c) A farmer has 20 Jerseys. What’s the probability that the average production for this small herd exceeds 45 pounds of milk a day? d) A neighboring farmer has 10 Ayrshires. What’s the probability that his herd average is at least 5 pounds higher than the average for part c’s Jersey herd?

A gambling casino records and plots the mean daily gain or loss from five blackjack tables on an $\overline{x}$ chart. The overall mean of the sample means and standard deviation of the combined data over 40 weeks were $\overline{\overline{x}}$=$10,752 and s=$1605, respectively. a. Construct an $\overline{x}$ chart for the mean daily gain per blackjack table. b. How can this $\overline{x}$ chart be of value to the manager of the casino?

Give the formula of the conjugate base of $\ce{H2CO3}$.

A company manufacturing surfboards has fixed costs of $300 per day and total costs of$5,100 per day at a daily output of 20 boards. (A) Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function. (B) The average cost per board for an output of x boards is given by $\overline{C}(x)=C(x) / x$. Find the average cost function. (C) Sketch a graph of the average cost function, including any asymptotes, for $1 \leq x \leq 30$. (D) What does the average cost per board tend to as production increases?

Solve the nonlinear inequality. Express the solution using interval notation, and graph the solution set.

$$(x+2)(x-1)(x-3) \leq 0$$

Is acetic acid a strong or weak acid or base?

Use graphing technology to graph the equation given below.

$$y=\frac{216}{x^3}$$