For an electrical component, the formulas for charge and voltage are given below. A is 9 coulombs, B is 12 seconds, C is 3 volts, and D is 24 seconds. Give the power of this component at t = 7 sec. You must round your answer to the nearest thousandth and give your answer as an integer followed by the appropriate metric prefix and the letter that represents the units of power.

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For an electrical component, the formulas for charge and voltage are given below.

A is 9 coulombs, B is 12 seconds, C is 3 volts, and D is 24 seconds.

Give the power of this component at t = 7 sec. You must round your answer to the nearest thousandth and give your answer as an integer followed by the appropriate metric prefix and the letter that represents the units of power.

 

The image contains two mathematical equations written on a grid background, typically used for displaying functions over time:

1. \( q(t) = A e^{-\frac{t}{B}} \)

   - This represents a function \( q(t) \), which is expressed as the product of a constant \( A \) and the exponential function \( e^{-\frac{t}{B}} \). Here, \( t \) represents time, and \( B \) is a constant that affects the rate of decay.

2. \( v(t) = C e^{-\frac{t}{D}} \)

   - This describes another function \( v(t) \), defined as the product of a constant \( C \) and the exponential function \( e^{-\frac{t}{D}} \). Similarly, \( t \) is time, and \( D \) is a constant determining how quickly the function decays.

These equations typically model processes where quantities decrease exponentially over time, such as radioactive decay, discharge of a capacitor, or cooling processes, where \( A \), \( B \), \( C \), and \( D \) are parameters that would be determined based on specific conditions or empirical data.
Transcribed Image Text:The image contains two mathematical equations written on a grid background, typically used for displaying functions over time: 1. \( q(t) = A e^{-\frac{t}{B}} \) - This represents a function \( q(t) \), which is expressed as the product of a constant \( A \) and the exponential function \( e^{-\frac{t}{B}} \). Here, \( t \) represents time, and \( B \) is a constant that affects the rate of decay. 2. \( v(t) = C e^{-\frac{t}{D}} \) - This describes another function \( v(t) \), defined as the product of a constant \( C \) and the exponential function \( e^{-\frac{t}{D}} \). Similarly, \( t \) is time, and \( D \) is a constant determining how quickly the function decays. These equations typically model processes where quantities decrease exponentially over time, such as radioactive decay, discharge of a capacitor, or cooling processes, where \( A \), \( B \), \( C \), and \( D \) are parameters that would be determined based on specific conditions or empirical data.
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