Write out and evaluate each sum.

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

The speed, s, in metres per second, of water flowing out of a hole near the bottom of a tank relates to the height, h, in metres, of the water above the hole by the formula $s=\sqrt{2gh}$ . In the formula, g represents the acceleration due to gravity, 9.8 m/$s^2$. At what height is the water flowing out a speed of 9 m/s?

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

Which of the following terrorist groups carried out the 9/ 11 attacks?

A al Qaeda

B Hamas

C Jihad

D Taliban

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. $\frac{x^{2}}{x^{2}+x+6}$

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 value of ^∞∫0 r(t) dt? Why?

A piston $/$ cylinder has $15\ \mathrm{ft}$ of liquid $70 \mathrm{~F}$ water on top of the piston $(m=0)$ with a cross-sectional area of $1\ \mathrm{ft}^2$. Air let in under the piston rises and pushes the water out over the top edge. Determine the work needed to push all the water out and plot the process in a $P-V$ diagram.

Imagine that you are out of school and have started working and saving. You want to keep from using credit cards or unnecessary loans as much as possible, so you make savings plans for major purchases and expenses.

Why is saving up for major purchases and expenses better than using credit cards or taking out loans?

An urn contains four green and three blue balls. You take one ball out of the urn, note its color, and replace it. You then take a second ball out of the urn, note its color, and replace it. If A denotes the event that the first ball is green and B denotes the event that the second ball is green, determine whether A and B are independent.

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."

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?

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.

Find out if the sentence below is incomplete. Then, rewrite the sentence fragment as a complete sentence.

Hasten to the hotel---find it very much crowded.

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