Answer:
The formula to find the sum of the first n terms of our sequence is n divided by 2 times the sum of twice the beginning term, a, and the product of d, the common difference, and n minus 1. The n stands for the number of terms we are adding together.
Https://us-static.z-dn.net/files/d18/ce7107c58c34f8e2cf6c1f3e05752043.jpeg
I believe 64x-8 is the correct answer.
Answer:
y = -2.8x +69.4
Step-by-step explanation:
The 2-point form of the equation of a line can be used to find the equation of the line through points (3, 61) and (13, 33). The general form of it is ...
y = (y2-y1)/(x2-x1)·(x -x1) +y1
For the given points, this is ...
y = (33 -61)/(13 -3)·(x -3) +61
y = -28/10(x -3) +61
y = -2.8x +69.4 . . . . . the equation of the line through the given points
_____
<em>Comment on the problem</em>
A "line of best fit" is one that minimizes some measure of deviation from the line. Usually, what is minimized is the square of the deviations. Choosing two points to draw the line through may be convenient, but does not necessarily result in a line of best fit.
Answer:
The answer to your question is 600 cups
Step-by-step explanation:
Data
Cylinder Cup
diameter = 30 in diameter = 3 in
height = 24 in height = 4 in
Process
1.- Calculate the volume of the cylinder
Volume = πr²h
-Substitution
Volume = (3.14)(30/2)²(24)
-Simplification
Volume = (3.14)(15)²(24)
Volume = (3.14)(225)(24)
-Result
Volume = 16959 in³
2.- Calculate the volume of the cup
Volume = (3.14)(3/2)²(4)
-Simplification
Volume = (3.14)(1.5)²(4)
Volume = (3.14)(2.25)(4)
-Result
Volume = 28.26 in³
3.- Divide the volume of the cylinder by the volume of the cup
Number of full cups = 16959 in³ / 28.26 in³
Number of full cups = 600
