Write an equivalent expression by factoring out the greatest common factor.

$$15 m^4 n+30 m^5 n^2+25 m^3 n^3$$

A manufacturer of lightbulbs wants to produce bulbs that last about $700$ hours but, of course, some bulbs burn out faster than others. Let $F(t)$ be the fraction of the company's bulbs that burn out before $t$ hours, so $F(t)$ always lies between $0$ and $1$ .

What is the meaning of the derivative $r(t)=F^{\prime}(t)$ ?

For the following sentence, write the correct choice of the words in parentheses.

The vet shouts, "Don't waste (no, any) time! Get out of the house!"

Write out and evaluate each sum.

$$\sum_{k=0}^5\left(k^2-2 k+3\right)$$

Remember to use the largest common factor and to check by multiplying. Factor out a negative factor if the first coefficient is negative.

$$8 x+24$$

Find out in which quadrants the roots of the following equations lie: $z^{4}-4 z^{3}+11 z^{2}-14 z+10=0$

Carry out the differentiation.
$\displaystyle \frac{d}{dx}\left(\int_x^{x^2} \frac{dt}{1+t^2}\right)$.

Factor each perfect square trinomial. It may be necessary to factor out a common factor first.

$$32 x^2-48 x+18$$

The volume of water in a tank t min after it starts draining is $V(t)=350(20-t)^{2} \mathrm{L}$.

How fast is the water draining out after 5 min? after 15 min?

In $\text{Fig. 29–20}a$, what are the new values for $A_\text{V}$ and $V_\text{out}$ if $R_\text{L}$ is removed?

Assume all variables are binomial. (Note: If values are not found in Previous Table . use the binomial formula.)
High School Dropouts Approximately $10.3\%$ of American high school students drop out of school before graduation. Choose $10$ students entering high school at random. Find the probability that
No more than $2$ drop out

Study the entries and answer the question that follows.

The root cant means "sing."

The root clam means "shout."

The prefix in-means "in," "on," or "onto."

The prefix re- means "back."

The prefix ad- means "toward."

The prefix de- means "down from."

The suffix-ment means "result of."

If ex-means "out," then the word means "to shout out suddenly."

Consider a bivariate normal distribution with $\mu 1=1, \mu 2=3, \sigma 11=2, \sigma 22=1$ and $\rho 12=-.8$. (a) Write out the bivariate normal density. (b) Write out the squared statistical distance expression $(x-\mu)^{\prime} \Sigma-1(x-\mu)$ as a quadratic function of $x_{1}$ and $x_{2}$.

For each of the following sentences, add apostrophes where needed. Cross out apostrophes that are not needed.

Theres a list of names' for each coast.