determine whether each point lies on the graph of the equation. Equation y = x^3 - 3x + 2 Points (2, 0)

Simplify the expression. Write your answer as a power. 37. 10³ • 10⁶

Find he coordinates of two points on the line with the given equation. Then use the points to find the slope of the line. x - 3y = 9

The laser in a DVD player emits light at a wavelength of 640 nm. The laser in a Blu-Ray player emits light at 405 nm. What are the photon energies of each laser, in eV?

How does the kinematic viscosity of (a) liquids and (b) gases vary with temperature?

The uranium ores of the Athabasca Basin deposits of Saskatchewan, Canada, are unusually pure, containing up to 70, uranium oxides. Why doesn’t this uranium ore undergo an explosive chain reaction?

A projectile is fired at an inclination of $45^{\circ}$ to the horizontal, with a muzzle velocity of 100 feet per second.The height h of the projectile is modeled by $h(x)=\frac{-32 x^{2}}{(100)^{2}}+x$ where x is the horizontal distance of the projectile from the firing point. Find the maximum height of the projectile.

Factor. 15xy + 35x + 12y + 28

Solve the equation. Check your solution. 18. -2 + j = -22

PRACTICE — Problems 1-36 are the Quick W's that fottow the EXAMPLES, In]

Building Skills In Problems 47-50, use a calculator to write each expression as & oad to two decimal places. See Objective f.

In 2004, 10-year-old Tilly Smith was vacationing with her family at a beach resort in Thailand. She is credited with saving approximately 100 lives shortly after the magnitude 9 Indian Ocean earthquake. How did she save so many people? (1) She told her family to spend an extra week at the beach. (2) She recognized the signs of an approaching tsunami and warned the people. (3) She predicted exactly when the earthquake would occur. (4) She convinced the people to avoid eating before going swimming.

Find all the complex roots. Write roots in rectangular form. If necessary, round to the nearest tenth. The complex fourth roots of 81

$$81 \left( \cos \frac { 4 \pi } { 3 } + i \sin \frac { 4 \pi } { 3 } \right)$$

Simplify. Write each answer in standard form.

$$\left( 4 x ^ { 2 } + 9 x + 1 \right) + \left( 2 x ^ { 2 } + 7 x + 13 \right)$$

In each formula, substitute the given values of the variables. Then find the value of the remaining variable, which is printed in red. Distance an object falls:

$$d = \frac { v ^ { 2 } } { 2 g }$$

; d=1000, v=140