The equation w = 10.8t is a proportional equation where the constant of proportionality is 10.8.
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
w = 10.8t
Where w is the number of wielding tasks and t is the time it takes.
Now,
W is proportional to t.
The constant of proportionality is 10.8.
Thus,
The number of welding is proportional to the time it takes.
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Answer:
In some cases unemployment rates increase with the level of education of the ... not only provides skills for performing different vocational tasks, but also identifies and ... Similarly some- times model firm comparison methods are used to derive the ... The third step is the estimation of labour productivity by economic sector for
Step-by-step explanation:
Draw a tile from the bag without looking.
Record the color of the tile
Replace the tile
How many tiles of each color do you expect to get?
The solution for \( x \) of the equation \( 8 e^{x}-1=0 \) is
Answer:
Step-by-step explanation:
The equation \(8e^x - 1 = 0\) can be solved to find the value of \(x\).
To solve for \(x\), we need to isolate the exponential term, \(e^x\).
Here are the steps to solve the equation:
1. Add 1 to both sides of the equation to isolate the exponential term:
\(8e^x = 1\)
2. Divide both sides of the equation by 8:
\(\frac{{8e^x}}{8} = \frac{1}{8}\)
3. Simplify:
\(e^x = \frac{1}{8}\)
4. To solve for \(x\), we can take the natural logarithm (ln) of both sides of the equation:
\(\ln(e^x) = \ln\left(\frac{1}{8}\right)\)
5. Since \(\ln(e^x)\) and \(e^x\) are inverse functions, they cancel each other out:
\(x = \ln\left(\frac{1}{8}\right)\)
6. Use the properties of logarithms to simplify further:
\(x = \ln(1) - \ln(8)\)
7. Simplify:
\(x = -\ln(8)\)
Therefore, the solution for \(x\) in the equation \(8e^x - 1 = 0\) is \(x = -\ln(8)\).