Answer: The answer is 16√2 cm.
Step-by-step explanation: Given that there is a rectangle with length 3 times than its width. We are to find the perimeter of the rectangle.
Let 'w' represents the width of the rectangle.
Then, its length will be 3w.
Also, area of the rectangle = 24 square inches.
Therefore,
So, width = 2√2 inches and length = 6√2 inches.
Thus, perimeter of the rectangle = 4√2 + 12√2 = 16√2 cm.
Answer:
According with the graph:
1.) The equation of the regresion line is: y=5,720.10391 x + 957.225810
2.) The values of the correlation coefficient is 0.86
Step-by-step explanation:
In the graph is shown:
1.) Line of Best Fit
y=5720.10391 x + 957.225810
2.) Correlation
.86
A function
is periodic if there is some constant
such that
for all
in the domain of
. Then
is the "period" of
.
Example:
If
, then we have
, and so
is periodic with period
.
It gets a bit more complicated for a function like yours. We're looking for
such that
Expanding on the left, you have
and
It follows that the following must be satisfied:
The first two equations are satisfied whenever
, or more generally, when
and
(i.e. any multiple of 4).
The second two are satisfied whenever
, and more generally when
with
(any multiple of 10/7).
It then follows that all four equations will be satisfied whenever the two sets above intersect. This happens when
is any common multiple of 4 and 10/7. The least positive one would be 20, which means the period for your function is 20.
Let's verify:
More generally, it can be shown that
is periodic with period
.
Answer:
k = 575
Step-by-step explanation:
let d be distance and h time.
Given d varies directly as h then the equation relating them is
d = kh ← k is the constant of variation
To find k use the condition d = 2875, h = 5, then
2875 = 5k ( divide both sides by 5 )
k = 575
