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Ksivusya [100]
3 years ago
15

PLEASE HELP, Erika is working in solving the exponential equation 50^x = 17 ; however, she is not quite sure where to start. Usi

ng complete sentences, describe to erika how to solve the equation
Mathematics
1 answer:
Furkat [3]3 years ago
7 0

Yes, 50^x = 17 is an exponential equation with base 50, and the task here is to solve it for x.

1) Take the log of both sides:  x log 50 = log 17

2) Divide both sides b log 50:    

      log 17

x = ----------

      log 50

3)  This last result can't be simplified, but can be evaluated"

x = 1.2304 / 1.6990 = 0.724 (approx.)

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Answer:

The train will travel 493.817 meters until it stops completely.

Step-by-step explanation:

In this case, we know that train applies the brakes and decelerates at constant rate until rest is reached after travelling an unknown distance. Travelled distance (\Delta s), measured in meters, can be found by using this kinematic formula:

v^{2} = v_{o}^{2}+2\cdot a \cdot \Delta s (Eq. 1)

Where:

v_{o} - Initial speed, measured in meters per second.

v - Final speed, measured in meters per second.

a - Acceleration, measured in meters per square second.

Now travelled distance is cleared within the formula:

\Delta s = \frac{v^{2}-v_{o}^{2}}{2\cdot a}

If we know that v_{o} = 22.222\,\frac{m}{s}, v = 0\,\frac{m}{s} and a = -0.5\,\frac{m}{s^{2}}, then the distance travelled by the train is:

\Delta s = \frac{\left(0\,\frac{m}{s} \right)^{2}-\left(22.222\,\frac{m}{s} \right)^{2}}{2\cdot \left(-0.5\,\frac{m}{s^{2}}\right) }

\Delta s = 493.817\,m

The train will travel 493.817 meters until it stops completely.

3 0
3 years ago
What is 37748546x4644994857
Kisachek [45]

Answer:

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Step-by-step explanation:

6 0
3 years ago
What is the solution to q + (–9) = 12? (1 point)
Klio2033 [76]
To solve q+(-9)=12 we do the following.
q+(-9)=12
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Hope this helps!=)
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3 years ago
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astraxan [27]

Answer:

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8 0
3 years ago
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tekilochka [14]
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3 years ago
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