Given the circle with center $O$ and rectangle $ABCO$, find the diameter of the circle.

Junk foods (e.g., potato chips) are typically packaged to appeal to children .. Can similar packaging of a healthy food product influence children's desire to consume the product? This was the question of interest in an article published in the Journal of Consumer Behaviour (Vol. 10, 2011). A fictitious brand of a healthy food product- sliced apples - was packaged to appeal to children (a smiling cartoon apple on the front of the package). The researchers showed the packaging to a sample of 408 schoolchildren and asked each whether he or she was willing to eat the product. Willingness to eat was measured on a 5-point scale, with 1 = "not willing at all" and 5 = "very willing." The data are summarized as follows: $\bar{x}=3.69, s=2.44$. Suppose the researchers know that the mean willingness to eat an actual brand of sliced apples (which is not packaged for children) is $\mu=3$. The data (willingness to eat values) are not normally distributed. How does this affect (if at all) the validity of your conclusion in part a? Explain.

Find the image of A(3,-2) under the given composition of transformations.

$$T_{-1.4} \circ r_{y=x}$$

The hypotenuse of a right triangle is 12 feet. If one leg is 8 feet, find the degree measure of each angle.

For the bicycle pedal arm assembly in the figure with a rider-applied force of $1500 \mathrm{~N}$ at the pedal, Find the von Mises stress in the $15-\mathrm{mm}-\mathrm{dia}$ pedal arm. The pedal attaches to the arm with a $12-\mathrm{mm}$ thread. Find the von Mises stress in the screw. Find the safety factor against static failure if the material has $S_{y}=350 \mathrm{~MPa}$.

Copy and complete: In the equation y=x+5, x is the _ variable and y is the ? variable.

Air enters an adiabatic nozzle steadily at $300 \mathrm{kPa}$, $200^{\circ} \mathrm{C}$, and $45 \mathrm{~m} / \mathrm{s}$ and leaves at $100 \mathrm{kPa}$ and $180 \mathrm{~m} / \mathrm{s}$. The inlet area of the nozzle is $110 \mathrm{~cm}^2$. Find $(a)$ the mass flow rate via the nozzle, $(b)$ the exit temperature of the air, and $(c)$ the exit area of the nozzle.

Two independent random samples produced the measurements listed in the next table. Do the data provide sufficient evidence to conclude that there is a difference between the locations of the probability distributions for the sampled populations? Test, using $\alpha=.05$.

$$\begin{matrix} \text{Sample 1} & \text{Sample 2}\\ \text{1.2 1.0} & \text{1.5 1.9}\\ \text{1.9 1.8} & \text{1.3 2.7}\\ \text{.7 1.1} & \text{2.9 3.5}\\ \text{2.5 } & \text{ }\\ \end{matrix}$$

A nickel-based alloy (INCONEL ${ }^{\circledR}$ alloy 801) beam (Figure 7-29) is annealed and subjected to a cyclical load of $100 \mathrm{~N}$ with equal maximum and minimum stresses. The beam diameter is $5 \mathrm{~mm}$, and the beam length is $50 \mathrm{~mm}$. What is the expected lifetime of the beam in number of cycles to failure? If the cycle frequency is $10 \mathrm{~Hz}$, what is the lifetime in hours?

After N cookies are divided equally among 8 children, 3 remain. How many would remain if (N + 6) cookies were divided equally among the 8 children? F 0 G 1 H 2 J 4

Read Soledad's e-mail. Then place an "x" next to the things she did.

1. tomar fotos ________

2. ir al centro comercial ________

3. comer _________

4. caminar __________

5. escribir a Jimena __________

6. ir a la playa __________

7. almorzar en un restaurante muy grande _______

8. estar enferma una semana __________

What is the monosaccharide composition of

(a) sucrose
(b) maltose
(c) lactose
(d) starch
(e) cellulose
(f) glycogen

Write an if statement that assigns 20 to the variable y and assigns 40 to the variable z if the variable x is greater than 100.

A material that has a fracture toughness of $33 \mathrm{~MPa}-\mathrm{m}^{0.5}$ is to be made into a large panel that is $2000 \mathrm{~mm}$ long by $250 \mathrm{~mm}$ wide and $4 \mathrm{~mm}$ thick. If the minimum allowable total crack length is $4 \mathrm{~mm}$, what is the maximum tensile load in the long direction that can be applied without catastrophic failure with a safety factor of $2.5$ ?