A scatter plot with a very strong linear association will have a correlation that is close to +/-1
Answer:
log₇t = ln t / ln 7
Step-by-step explanation:
Given:
log₇t
Computation:
We know that
logₐb = log b / log a
So,
log₇t = log t / log 7
= log₇t = ln t / ln 7
Answer: h=7
Step-by-step explanation:
By definition the function in vertex form is:

Where (h,k) is the vertex of the parabola.
You must group the terms that contain the same variable in the function:

Complete the square as following:

Now you must rewrite it as following:

Then:
h=7
Answer:
a = 9
Step-by-step explanation:
Simplifying
8.1 = 0.9a
Solving
8.1 = 0.9a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-0.9a' to each side of the equation.
8.1 + -0.9a = 0.9a + -0.9a
Combine like terms: 0.9a + -0.9a = 0.0
8.1 + -0.9a = 0.0
Add '-8.1' to each side of the equation.
8.1 + -8.1 + -0.9a = 0.0 + -8.1
Combine like terms: 8.1 + -8.1 = 0.0
0.0 + -0.9a = 0.0 + -8.1
-0.9a = 0.0 + -8.1
Combine like terms: 0.0 + -8.1 = -8.1
-0.9a = -8.1
Divide each side by '-0.9'.
a = 9
Simplifying
a = 9