If a galaxy is 9.3 Mpc away from Earth and recedes at 508 km/s, what is H, (in km/s/Mpc)? 54.62 km/s/Mpc What is the Hubble time (in yr)? X years How old (in yr) would the universe be, assuming space-time is flat and the expansion of the universe has not been accelerating?

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I have tried 14,000,000,000, 17,908,900,000, and 17.9089 x 10^9 for the hubble time and all those are wrong. I have tried 17,908,900,000 and 17.9089 x 10^9 for the second question and those are wrong too. There are two parts to this questions. Thank you!

**Educational Content on Hubble's Law and the Age of the Universe**

**Text:**

If a galaxy is 9.3 Mpc away from Earth and recedes at 508 km/s, what is \( H_0 \) (in km/s/Mpc)?

\[ 54.62 \, \text{km/s/Mpc} \] (Correct)

**What is the Hubble time (in yr)?**

[Input box] ✗ years

**How old (in yr) would the universe be, assuming space-time is flat and the expansion of the universe has not been accelerating?**

[Input box] ✗ years

**Description:**

The text presented refers to calculations related to Hubble's Law, which defines the expansion rate of the universe. In this example, the following concepts are illustrated:

1. **Galaxy Recession Speed and Distance**: A galaxy at a distance of 9.3 Mpc (megaparsecs) receding at a speed of 508 km/s has been given.

2. **Hubble's Constant (\( H_0 \))**: The value derived is 54.62 km/s/Mpc. This constant is used to calculate the rate of expansion of the universe.

3. **Hubble Time**: An input field for Hubble Time in years is provided, indicating the time since the Big Bang assuming a linear expansion.

4. **Age of the Universe**: Another input field asks about the universe's age if the expansion has been uniform and non-accelerating, further illustrating the relationship between cosmic expansion and time.

These calculations are fundamental in cosmology, helping to understand the dynamics and history of the cosmos.
Transcribed Image Text:**Educational Content on Hubble's Law and the Age of the Universe** **Text:** If a galaxy is 9.3 Mpc away from Earth and recedes at 508 km/s, what is \( H_0 \) (in km/s/Mpc)? \[ 54.62 \, \text{km/s/Mpc} \] (Correct) **What is the Hubble time (in yr)?** [Input box] ✗ years **How old (in yr) would the universe be, assuming space-time is flat and the expansion of the universe has not been accelerating?** [Input box] ✗ years **Description:** The text presented refers to calculations related to Hubble's Law, which defines the expansion rate of the universe. In this example, the following concepts are illustrated: 1. **Galaxy Recession Speed and Distance**: A galaxy at a distance of 9.3 Mpc (megaparsecs) receding at a speed of 508 km/s has been given. 2. **Hubble's Constant (\( H_0 \))**: The value derived is 54.62 km/s/Mpc. This constant is used to calculate the rate of expansion of the universe. 3. **Hubble Time**: An input field for Hubble Time in years is provided, indicating the time since the Big Bang assuming a linear expansion. 4. **Age of the Universe**: Another input field asks about the universe's age if the expansion has been uniform and non-accelerating, further illustrating the relationship between cosmic expansion and time. These calculations are fundamental in cosmology, helping to understand the dynamics and history of the cosmos.
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