Using geogebra (see attached), I get roughly r = 0.98886 which rounds to r = 0.989
Answer:
0.989Side Note: The fact that r is very close to +1 means the data set has strong positive linear correlation. The points all fall very close to a line with positive slope.
Answer:
i think x = 146
Step-by-step explanation:
Answer:
4.4
Step-by-step explanation:
The parent function of this graph is: y = sin(x)
The sine function is periodic, meaning it repeats forever.
Standard form of a sine function:

where:
- A = amplitude (height from the mid-line to the peak)
- 2π/B = period (horizontal distance between consecutive peaks)
- C = phase shift (horizontal shift - positive is to the left)
- D = vertical shift
The <u>period</u> is the horizontal distance between consecutive peaks, which is the same as <u>twice the horizontal distance between the intersection of the curve and the mid-line</u>.
Given consecutive points of intersection between the curve and the mid-line:
Therefore, the horizontal distance between these two points is:
5.9 - 3.7 = 2.2
⇒ Period = 2.2 × 2 = 4.4
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To create the equation for the function.
From inspection of the given graph:
- Amplitude (A) = 6
- Mid-line is y = 5
- Vertical shift (D) = +5
Period = 2π/B = 4.4 ⇒ B = 5π/11
Phase Shift (C) = -3.7
Substituting the values into the standard form:


<h2>
The surface area of the cube is 0.375 square units.</h2>
Step-by-step explanation:
Given : The formula for the surface area of a cube is
, where s is the length of one side of the cube if
of a unit.
To find : What is the surface area, in square units, of the cube?
Solution :
The formula for the surface area of a cube is 
We have given,
Substitute in the formula,



square units.
Therefore, the surface area of the cube is 0.375 square units.
Y intercept is (0, -4/5)
Set x as 0 and solve
Ignore the dumb kid who said y=8