Answer:
x = -7
Step-by-step explanation:
This is an exponential equation.

We need to take log(or ln) of both sides and use logarithm property to solve this.
So, let's take ln of both sides, so we have:

Now, we will use this property shown below to further simplify:

So, we now have:

The value of x is -7
32%, because you divide 8 by 25, which is 0.32. You then multiply it by 10 to achieve the percentage.

This is equal to:

When you add a negative number, it turns into subtraction.
First, I would change it to mixed numbers:

Now, you need to change the denominators to make sure they are the same on both fractions. I changed the first fraction's denominator to 4 so they match. You can do this by multiplying the numerator by 2:

Now, you simply subtract:
10-9=1
1/4 is your answer.
I hope this helps :)
The equation is 138=300-3x
now solve by first subtracting 300 from each side: -162=-3x
divide each side by -3: x=54
The wise man is 54 years old
Answer:
y = -1/3x + 8
Step-by-step explanation:
If two lines are perpendicular, the signs of the slope must be opposite and the slopes are reciprocals.
(basically if one is say -2/3, the other is 3/2. just flip it upside down)
So this slope is 3, so the new slope should be -1/3
The equation is now y = -1/3x + b
To find b, substitute (-9,5) in the equation
y = -1/3x + b
5 = -1/3(9) + b
5 = -3 + b
8 = b
So the equation is y = -1/3x + b