Write a letter to Dylan Thomas, explaining your opinion of the view of death expressed in "Do Not Go Gentle into That Good Night."

Find each sum. -7+(-5)

What characteristics typify an American family?

Write 25% as a decimal. ____

Describe Lev Vygotsky’s ideas on the role of language, scaffolding, and the zone of proximal development in cognitive development. How did his theory differ from that of Jean Piaget?

What problems has eastern Germany faced since reunification?

Graph y = (x-1)(x+3). For what values of x is $y \leq 0$? Express your answer as an inequality (example: x > 2, $1 \leq x \leq 4$). Was the factored form of the equation easy to graph? Do you see a connection between the equation, the factors, and the solution to the inequality?

Verify that each trigonometric equation is an identity. $\sin ^{2} \alpha+\tan ^{2} \alpha+\cos ^{2} \alpha=\sec ^{2} \alpha$

You are an engineer working for a manufacturing company. You are designing a mechanism that uses a cable to drag heavy metal blocks a distance of 8.00 m along a ramp that is sloped at $40.0^{\circ}$ above the horizontal. The coefficient of kinetic friction between these blocks and the incline is $\mu k=0.350$. Each block has a mass of 2170 kg. The block will be placed on the bot-tom of the ramp, the cable will be attached, and the block will then be given just enough of a momentary push to overcome static friction. The block is then to accelerate at a constant rate to move the 8.00 m in 4.20 s. The cable is made of wire rope and is parallel to the ramp surface. The table gives the breaking strength of the cable as a function of its diameter; the safe load tension, which is 20% of the breaking strength; and the mass per meter of the cable:

$$\begin{matrix} \text{Cable Diameter} & \text{Breaking Strength} & \text{Safe Load} & \text{Mass per Meter}\\ \text{(in.)} & \text{(kN)} & \text{(kN)} & \text{(kg/m)}\\ \mathrm{\frac{1}{4}} & \mathrm{24.4} & \mathrm{4.89} & \text{0.16}\\ \mathrm{\frac{3}{8}} & \text{54.3} & \text{10.9} & \text{0.36}\\ \mathrm{\frac{1}{2}} & \text{95.2} & \text{19.0} & \text{0.63}\\ \mathrm{\frac{5}{8}} & \text{149} & \text{29.7} & \text{0.98}\\ \mathrm{\frac{3}{4}} & \text{212} & \text{42.3} & \text{1.41}\\ \mathrm{\frac{7}{8}} & \text{286} & \text{57.4} & \text{1.92}\\ \text{1} & \text{372} & \text{74.3} & \text{2.50}\\ \end{matrix}$$

What is the minimum diameter of the cable that can be used to pull a block up the ramp without exceeding the safe load value of the tension in the cable? Ignore the mass of the cable, and select the diameter from those listed in the table.

Evaluate each determinant. Use Properties 1-5 to simplify the work.

$$\left| \begin{array} { r r r } { - 2 } & { 0 } & { 12 } \\ { 4 } & { 0 } & { 0 } \\ { 3 } & { 0 } & { 6 } \end{array} \right|$$

How could you use indirect measurement to find the height of the flagpole at your school?

Draw a figure that illustrates what happens when light rays hit a rough surface and what happens when they hit a smooth surface. Explain how your illustration demonstrates diffuse reflection and the law of reflection.

A resistor ($R = 9.00 \times 10 ^ { 2 } \Omega$), a capacitor (C = 0.250 $\mu \mathrm { F }$), and an inductor (L = 2.50 H) are connected in series across a $2.40 \times 10 ^ { 2 }$-Hz AC source for which $\Delta V _ { \max } = 1.40 \times 10 ^ { 2 }$ V. Calculate the impedance of the circuit.

Find the area of the region enclosed by one loop of the curve. r = 4 cos 3θ