Answer:
Linear: greater than 2011
Quadratic: lesser than 2011
Cubic: lesser than 2011
Step-by-step explanation:
At x = 2
Linear regression equation:
y = -6777.54(2) + 110001.04
y = 96445.96
More than 2011
Quadratic: y = -251.10(2)² - 2760.02(2) + 98618.06
y = 92093.62
lesser than 2011
Cubic: y = -6.23(2)² - 101.67(2)² - 3747.49(2) + 100142.23
y = 92190.73
lesser than 2011
Sqrt of 56 is about 7.5
So 6 would be in the first blank and 8 would be in the second blank.
6,7,8 are consecutive
Answer:
9.85
Step-by-step explanation:
I hate these, LOL
We're going to draw a triangle on the graph paper to solve this. (in theory)
The top point is at 2 on the x axis, and the bottom is at 6. That's a difference of 4. Draw a line from the top dot over 4 spaces, so a line dropped from there could go straight to the bottom dot. We'll call this line/side of the triangle a, and a = 4.
Then we drop the line from there (6, 4) down to the second dot at (6, -5). That line is 9 places long. We'll call this line/side of the triangle b, and b = 9.
(This is so much easier to draw than type, I'll attach a picture).
Then we connect the two dots diagonally to form line/side c of our triangle. This is the length we don't know.
The pythagorean theorem says a^2 + b^2 = c^2
So a = 4, b = 9, c is unknown for our triangle
(4)(4) + (9)(9) = c^2
16 + 81 = 97
The square root of 97 = 9.8488, so if they have you round, I would say 9.85
Sorry if this just confused you more.
Answer: cos(Θ) = (√15) / 4
Explanation:
The question states:
1) sin(Θ) = 1/4
2) 0 < Θ < π / 2
3) find cos(Θ)
This is how you solve it.
1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

2) From which you can find:

3) Replace sin(α) with 1/4
=>

=>

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:
cos(Θ) =

.
And that is the answer.