471 divided by r equals 94.2
314 divided by r equals 62.8
94.2 minus 62.8 equals 31.4
<u>It's not given a scatter plot not the characteristics of the variables, but it can be safely assumed as shown below</u>
Answer:
<em>The diver's depth will be -42.9 after 30 minutes</em>
Step-by-step explanation:
The equation of the trend (or best fit line) for the scuba diver's depth in the ocean is:
y = -3.29x - 10
Where y is the diver's depth and x is the time in minutes.
To predict the diver's depth at x=30 minutes, substitute in the equation:
y = -3.29(10) - 10
y = -32.9 - 10
y = -42.9
Since no units are provided for y, the answer is:
The diver's depth will be -42.9 after 30 minutes
The correct option is (A) x^6 + x^5 - 2x^4 - 2x^3 + 3x^2 + 6x - 9
Explanation:
The product of two polynomials:
(x^3 + x^2 -3)(x^3 - 2x + 3)
Row1: x^6 x^5 -3x^3
Row2: -2x^4 -2x^3 6x
Row3: 3x^3 3x^2 -9
Add all of the above rows:
x^6 + x^5 - 3x^3 -2x^4 - 2x^3 + 6x + 3x^3 + 3x^2 -9
x^6 + x^5 - 2x^4 - 2x^3 + 3x^2 + 6x - 9 (Option A)
Answer:
The third side must be smaller than 20 inches and greater than 4 inches

Step-by-step explanation:
Let a, b and c be the lengths of triangle's sides. Then

Use this rule in your case. So, if a=12 and b=8, then

Hence, you get

From these inequalities, you can state that

So, c must be smaller than 20 inches and greater than 4 inches.
Answer:
1/27
Step-by-step explanation:
(1/27)^2016*27^2015 =
27^-2016 * 27^2015 =
27^(-2016+2015) =
27^-1 =
1/27