Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1st Edition solutions

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
BIOLOGY The intensity of light emitted by a firefly can be determined by L(t) = 10 + 0.3t + 0.4t2 - 0.01t3, where t is temperature in degrees Celsius and L(t) is light intensity in lumens. If the temperature is 30C, find the light intensity.

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
AGES Chun-Weis mother is 8 more than twice his age. His father is three years older than his mother is. If the three family members have lived a total of 94 years, how old is each family member?

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
FIND THE ERROR Marika and Lori are finding the seventh term of the geometric sequence 9, 3, 1, . Who is correct? Explain your reasoning. Marika r = 3_ 9 or _1 3 a 7 = 9 ( _1 3 ) 7 1 = _1 81 Lori r = _9 3 or 3 a 7 = 9 3 7 1 = 6561

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
LANDSCAPING The design of a garden is shown at the right. A pond is to be built in the center region. What is the equation of the largest circular pond centered at the origin that would fit within the walkways?

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
GEOMETRY The perimeter of a regular octagon is 124 inches. Find the length of each side.

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
GEOGRAPHY the set of all points that are 20 miles from a landmark

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
GEOMETRY The sides of an angle are parts of two lines whose equations are 2y + 3x = -7 and 3y - 2x = 9. The angles vertex is the point where the two sides meet. Find the coordinates of the vertex of the angle.

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
ENTERTAINMENT Suppose the gondolas on the Navy Pier Ferris Wheel were numbered from 1 through 40 consecutively in a counterclockwise fashion. If you were sitting in gondola number 3 and the wheel were to rotate counterclockwise through _47 10 radians, which gondola used to be in the position that you

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
BAKING Mitena is making two types of cookies. The first recipe calls for 2 _1 4 cups of flour, and the second calls for 1 _1 8 cups of flour. If she wants to make 3 batches of the first recipe and 2 batches of the second recipe, how many cups of flour will she need? Use the properties of real numbers

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
If the volume is 6300 cubic inches, write an equation for the situation.

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
LANDSCAPING A boardwalk that is x feet wide is built around a rectangular pond. The pond is 30 feet wide and 40 feet long. The combined area of the pond and the boardwalk is 2000 square feet. What is the width of the boardwalk?

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
If Andrea earns $6.50 an hour, illustrate the Distributive Property by writing two expressions representing Andreas pay last week.

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
GEOGRAPHY Mr. Cardona is a regional sales manager for a company in Florida. Tampa, Orlando, and Ocala outline his region. If a coordinate grid in which 1 unit = 10 miles is placed over the map of Florida with Tampa at the origin, the coordinates of the three cities are (0, 0), (7, 5), and (2.5, 10).

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
MOVIE SCREENS The area A in square feet of a projected picture on a movie screen is given by A = 0.16 d 2, where d is the distance from the projector to the screen in feet. At what distance will the projected picture have an area of 100 square feet?

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
INTERIOR DESIGN The rounded top of the window is the top half of an ellipse. Write an equation for the ellipse if the origin is at the midpoint of the bottom edge of the window.

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
MOUNTAIN CLIMBING As elevation increases, the atmospheric air pressure decreases. The formula for pressure based on elevation is a = 15,500 (5 lo g 10 P), where a is the altitude in meters and P is the pressure in pascals (1 psi 6900 pascals). What is the air pressure at the summit in pascals for e

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
TRAINING To train for a race, Rosmaria runs 1.5 hours longer each week than she did the previous week. In the first week, Rosmaria ran 3 hours. How much time will Rosmaria spend running if she trains for 12 weeks?

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
h(x) = 9x5 - 94x3 + 27x2 + 40x - 12

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
a = 5bc

Algebra 2, Student Edition (MERRILL ALGEBRA 2) 1
SALES Sales associates at Electronics Unlimited earn $8 an hour plus a 4% commission on the merchandise they sell. Write a function to describe their income, and find how much merchandise they must sell in order to earn $500 in a 40-hour week.