Rewrite the following dialog, adding punctuation, capitalization, indentation, and speaker tags as needed. - Oh, I think I already read That!

A standard bicycle wheel has a diameter of 26 inches. A student claims that during a one-mile bike ride the wheel makes more than 1000 complete revolutions. Do you agree or disagree? Explain. (Hint: 1 mile $=5280$ feet)

Minimize the given machine.

$$\begin{array}{lllr} \text{Present state} & \text{Next state} & \text{ } & \text{Output}\\ \text{ } & \text{Present input} & \text{ } & \text{ }\\ \text{ } & \text{0} & \text{1} & \text{ }\\ \hline \text{0} & \text{7} & \text{1} & \text{1}\\ \text{1} & \text{0} & \text{3} & \text{1}\\ \text{2} & \text{5} & \text{1} & \text{0}\\ \text{3} & \text{7} & \text{6} & \text{1}\\ \text{4} & \text{5} & \text{6} & \text{0}\\ \text{5} & \text{2} & \text{3} & \text{0}\\ \text{6} & \text{3} & \text{0} & \text{1}\\ \text{7} & \text{4} & \text{0} & \text{0}\\ \end{array}$$

Determine the values of the following products of base vectors: a) $\text{a}_{\text{x}} \dot \text{a}_{\theta}$, b)$\text{a}_{\theta} \dot \text{a}_{\text{y}}$, c) $\text{a}_{\text{r}} \times \text{a}_{\text{x}}$, d) $\text{a}_{\text{R}} \dot \text{a}_{\text{r}}$, e)$\text{a}_{\text{y}} \dot \text{a}_{\text{R}}$, f)$\text{a}_{\text{R}} \dot \text{a}_{\text{z}}$, g)$\text{a}_{\text{R}} \times \text{a}_{\text{z}}$, h) $\text{a}_{\theta} \dot \text{a}_{\text{z}}$, i)$\text{a}_{\text{z}} \times \text{a}_{\theta}$

Show that the given system is almost linear near the origin and discuss the type and stability of the critical point at the origin.
$\frac{d x}{d t}=-x+4 y+y^2,\\ \frac{d y}{d t}=-x-y-x y$

Use the Yearly Payment Schedule.

$$\begin{array}{|c|c|c|c|c|c|c|c|} \hline \text{Year} & \text{Principal} & \text{Interest} & \text{Loan} & \text{Year} & \text{Principal} & \text{Interest} & \text{Loan}\\ \text{ } & \text{Paid} & \text{Paid} & \text{Balance} & \text{ } & \text{Paid} & \text{Paid} & \text{Balance}\\ \hline \text{ } & \text{ } & \text{ } & \text{ } & \text{ } & \text{ } & \text{ } & \text{\$ 76,000.00}\\ \hline \text{2011} & \text{\$ 3,702.31} & \text{\$ 3,158.45} & \text{\$ 72,297.69} & \text{2019} & \text{\$ 5,198.46} & \text{\$ 1,662.30} & \text{\$ 36,279.09}\\ \hline \text{2012} & \text{\$ 3,862.78} & \text{\$ 2,997.98} & \text{\$ 68,434.91} & \text{2020} & \text{\$ 5,423.74} & \text{\$ 1,437.02} & \text{\$ 30,855.35}\\ \hline \text{2013} & \text{\$ 4,030.18} & \text{\$ 2,830.58} & \text{\$ 64,404.73} & \text{2021} & \text{\$ 5,658.80} & \text{\$ 1,201.96} & \text{\$ 25,196.55}\\ \hline \text{2014} & \text{\$ 4,204.85} & \text{\$ 2,655.91} & \text{\$ 60,199.88} & \text{2022} & \text{\$ 5,904.04} & \text{\$ 956.72} & \text{\$ 19,292.51}\\ \hline \text{2015} & \text{\$ 4,387.07} & \text{\$ 2,473.69} & \text{\$ 55,812.81} & \text{2023} & \text{\$ 6,159.90} & \text{\$ 700.86} & \text{\$ 13,132.61}\\ \hline \text{2016} & \text{\$ 4,577.18} & \text{\$ 2,283.58} & \text{\$ 51,235.63} & \text{2024} & \text{\$ 6,426.88} & \text{\$ 433.88} & \text{\$ 6,705.73}\\ \hline \text{2017} & \text{\$ 4,775.56} & \text{\$ 2,085.20} & \text{\$ 46,460.07} & \text{2025} & \text{\$ 6,705.73} & \text{\$ 157.40} & \text{\$ 0.00}\\ \hline \text{2018} & \text{\$ 4,982.52} & \text{\$ 1,878.24} & \text{\$ 41,477.55} & \text{ } & \text{ } & \text{ } & \text{ }\\ \hline \end{array}$$

What is the total interest over the loan's life?

Lee la información sobre las fajas calendario (calendar belts) y decide si las oraciones son ciertas (C) o falsas (F). Las fajas, como los cinturones, están hechas de cuero.

Each line, when completed, should have three words similar in meaning. Enter the missing letters.

oop __ n __ nt $\hspace{1cm}$ __ __ tagonist $\hspace{1cm}$ __ __ versary

Factor completely. If a polynomial is prime, state this. $\\$$4 z^2-25$

Choose the best answer. An experimenter wishes to test whether or not two types of fish food (a standard fish food and a new product) work equally well at producing fish of equal weight after a two-month feeding program. The experimenter has two identical fish tanks (1 and 2) to put fish in and is considering how to assign 40 fish, each of which has a numbered tag, to the tanks. The best way to do this would be to (a) put all the odd-numbered fish in one tank, the even in the other, and give the standard food type to the odd-numbered ones. (b) obtain pairs of fish whose weights are roughly equal at the start of the experiment and randomly assign one to Tank 1 and the other to Tank 2, with the feed assigned at random to the tanks. (c) proceed as in part (b), but put the heavier of the pair into Tank 2. (d) assign the fish completely at random to the two tanks and give the standard feed to Tank 1. (e) assign the fish to the tanks using any method that the researcher wants. The placebo effect doesn't apply to fish.

Weights of Elephants A sample of $8$ adult elephants had an average weight of $12,300$ pounds. The standard deviation for the sample was $22$ pounds. Find the $95 \%$ confidence interval of the population mean for the weights of adult elephants.

Find the equilibria of x$_{t+1}$ = $\frac {2x_t} {1 + x_t}$ , t = 0, 1, 2,... and use the stability criterion for an equilibrium point to determine whether they are stable or unstable.

Explain why all consumers (even carnivores) are reliant on producers for survival?

A representative sample has characteristics similar to the entire population. Choose the sample most likely to be representative of the population. If a biologist wants to study deer in a state park, A. she should tag every tenth deer she sees. B. she should tag the first 10 deer she sees.