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Get Full Access to Calculus With Applications - 10 Edition - Chapter 1.1 - Problem 73a
Get Full Access to Calculus With Applications - 10 Edition - Chapter 1.1 - Problem 73a

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# Galactic Distance The table lists the distances (in

ISBN: 9780321749000 67

## Solution for problem 73A Chapter 1.1

Calculus with Applications | 10th Edition

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Problem 73A

Galactic Distance The table lists the distances (in megaparsecs where 1 megaparsec ?3.1 × 1019 km) and velocities (in kilometers per second) of four galaxies moving rapidly away from Earth. Source: Astronomical Methods and Calculations, and Fundamental Astronomy.GalaxyDistanceVelocityVirga151600Ursa Minor20015,000Corona Borealis29024,000Bootes52040,000a. Plot the data points letting x represent distance and y represent velocity. Do the points lie in an approximately linear pattern?________________b. Write a linear equation y = mx to model this data, using the ordered pair 1520, 40,0002.________________c. The galaxy Hydra has a velocity of 60,000 km per sec. Use your equation to approximate how far away it is from Earth.________________d. The value of m in the equation is called the Hubble constant. The Hubble constant can be used to estimate the age of the universe A (in years) using the formula Approximate A using your value of m.

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