Answer:
Step-by-step explanation:
Without brackets, we are not exactly sure what is under the root sign. There are 3 choices.
sqrt(x) + 2 - 15 = - 3
sqrt(x + 2) - 15 = - 3
sqrt(x + 2 - 15) = - 3
I think the middle one is what you intend. If not leave a note.
sqrt(x + 2) - 15 = - 3 Add 15 to both sides.
sqrt(x + 2) - 15+15 = - 3+15 Combine
sqrt(x + 2) = 12 Square both sides
x + 2 = 12^2 Do the right
x + 2 = 144 Subtract 2 from both sides.
x + 2-2 = 144-2
x = 142
Answer:
1992.38
Step-by-step explanation:
The mean, or average, of a set of data points is found by adding all the values together and dividing by the number of values.
Sum:
1911.56 + 1956.69 + 1903.16 + 1958.82 + 1910.87 + 1983.14 + 2014.12 + 2023.86 + 2057.26 + 2034.21 + 2087.73 + 2067.14 = 23908.56
Divide:
There are 12 numbers, so divide 23908.56 by 12:
23908.56 / 12 = 1992.38
The average is thus 1992.38.
<em>~ an aesthetics lover</em>
Answer:
Constant of proportionality: 
Equation: 
Step-by-step explanation:
By definition, Direct proportion equations have the following form:

Where "k" is the Constant of proportionality.
In this case, let be "c" the the amount of caffeine consumed (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.
So, the equation that represents this relationship will have this form:

Then, the first step is to find the Constant of proportionality "k".
Knowing that:

We can substitute values into the equation:

Now, solving for "k", we get:

Therefore, we can write the following equation that represents that proportional relationship:

Yes
Divide it by sixty and multiply
I hope this helps
The answer is (9,21) because is you plug in 9 for x, and add 12, you get 21.