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 $r ( t ) = F' ( t )$ ?

In the sentence below, correct any errors in the use of comparisons. Cross out any unnecessary words. Insert any missing word by inserting a caret (^) and writing the word above it. If the sentence is already correct, write C at the end.

Then I carefully cut out the pieces with my dad’s jigsaw, which is the most perfect tool for the job.

A right isosceles triangle has area

$$98\ cm^2.$$

Find the length of each leg.

Mark each of the following events as independent or dependent. A woman accidentally throw 4 used batteries in with her 12 new batteries. She pulls out a battery, plugs it into her remote, and realizes it was one of the used ones. She throws it away and pulls out another battery. What is the probability this one will also be a used one?

find the magnitude of v. v = ⟨1, -2, 4⟩

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

$$9 x^2-12 x+4$$

Complete the sentence in a way that shows you understand the meaning of the italicized vocabulary word.

I will not go out to dinner with you; ergo,...

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?

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!"

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

Add parentheses and brackets where they are needed in the following sentences.

Afterward Nigel said, "He Newfie seemed to come out of nowhere!"

A television advertisement shows a lawyer in a bathing suit coming out of a lake. He says, "If you're in over your head because of bad debts, let us bail you out. We're the best firm in the state." Should there be any restrictions on ads like this? If so, what? Should there be other restrictions on ads? If so, what should they be?

Design an RC high-pass filter that passes a signal with frequency $5.00 \mathrm{kHz}$, has a ratio $V_{\text {out }} / V_{\text {in }}=0.500$, and has an impedance of $1.00 \mathrm{k} \Omega$ at very high frequencies. b) What is the phase of $V_{\text {out }}$ relative to $V_{\text {in }}$ at the frequency of $5.00 \mathrm{kHz}$ ?

After a collision with a power pole, you are trapped in your car, with a high-voltage line (with frayed insulation) in contact with the hood of the car. If you must get out before help arrives, is it safer to step out of the car one foot at a time or to jump with both feet leaving the car at the same time? Explain your reasoning.