# Download Core-Plus Mathematics - Contemporary Mathematics in Context, by McGraw-Hill Education PDF

By McGraw-Hill Education

The nation's first selection for an NSF reform highschool arithmetic sequence! This 2d variation includes a colourful lesson layout; prior improvement of algebraic issues; extended use of expertise; pre-requisite talents evaluate in each lesson; Unit source Masters; and a full-volume scholar version to be had in print, CD-ROM, and on-line codecs.

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Extensions 23 The time T it takes a ball to roll down a ramp of length L that is supported at one end by a platform of height H is described by the formula L T = k · _, √H where k is some positive constant. 42 UNIT 1 • Functions, Equations, and Systems On Your Own L a. Solve T = k · _ for k. √H b. Refer back to the data you collected for the first ramp experiment in Lesson 1 (page 4). Calculate k from T, L, and H for each data point. c. Describe the shape, center, and spread of the values you obtained for k.

What is the surface area of the tank—the vertical wall and the circular bases? c. What is the volume of the tank? d. 5 gallons. What is the capacity of the oil tank in gallons? 24 UNIT 1 • Functions, Equations, and Systems L 2 N ESS O Multivariable Functions R elations among several variables are often used to express scientific principles. For example, in the electrical circuits that provide power for flashlights, appliances, and tools, the key variables—voltage, current, and resistance—are related by a principle called Ohm’s Law.

6 It turns out that the frequency of a pendulum (in swings per time unit) depends only on the length of the pendulum arm (not the weight of the bob or the initial starting point Pendulum of the swings). The function Arm 30 F = _ is a good model for the √L relationship between pendulum arm length L and frequency of swing F when length is measured in meters and frequency in swings per minute. Pendulum Bob a. Write the rule for pendulum frequency in the form of a power function. LESSON 1 • Direct and Inverse Variation 17 On Your Own b.