Answer:
Solving a Direct Variation Problem
Write the variation equation: y = kx or k = y/x.
Substitute in for the given values and find the value of k.
Rewrite the variation equation: y = kx with the known value of k.
Substitute the remaining values and find the unknown.
Step-by-step explanation:
Answer:
Step-by-step explanation:
A new study suggests that waiting at least an hour after dinner before going to sleep reduces your risk of stroke by about two-thirds.
And for every 20 minutes more that you wait, stroke risk drops another 10%, says researcher Cristina-Maria Kastorini, MSc, a nutritionist at the University of Ioannina Medical School in Greece.
The study does not prove cause and effect -- only that there seems to be an association between waiting an hour or more between dinner and bedtime and reduced stroke risk.
Results of the 1,000-patient study were presented here at the European Society of Cardiology Congress 2011.
The Manager ordered 5 Deluxe Violins and 15 Standard Violins.
15 •
500 = 7,500
7,500 + 4,000 = 11,500
5 • 800 = 4,000
You can observe that every next term is computed by adding 4 to the previous one.
This implies that the difference between consecutive terms is always 4, and this is an arithmetic sequence.
In order to find the explicit equation, we can explore the pattern:
So, as you can see, we have
If 109 is a term of the sequence, there must exist a natural number n such that
So, 109 is not a term of the sequence.
