Answer:

Step-by-step explanation:
Given sequence: 
Therefore,
General form of an arithmetic sequence: 
(where a is the first term and d is the common difference)
To find the common difference, subtract a term from the next term:

Therefore,

To find the 6th term, input n = 6 into the equation:

Answer:
Volume of round cake pan = volume of cylinder
Volume of a cylinder =
(where r is the radius and h is the height)
Radius =
diameter ⇒ 
⇒ volume of round cake pan = 
= 76.97 in³ (nearest hundredth)
Volume of rectangular cake pan = volume of rectangular prism
volume of rectangular prism =
(where w is the width, l is the length and h is the height)
⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³
As 108 > 76.97, the rectangular cake pan has a larger volume
answer
(x+7)^2 + (y-4)^2 = 64
set up equation
the equation of a circle is (x - h)^2 + (y - k)^2 = r^2
where h is the center x coordinate and k is the center y coordinate
values
from the point (-7,4) we know that h = -7 and k = 4
since the radius is 8, r^2 = 8^2 = 64
plug in values
now that we have all the values, we plug them into (x - h)^2 + (y - k)^2 = r^2
(x - h)^2 + (y - k)^2 = r^2
(x - (-7))^2 + (y-4)^2 = 64
(x+7)^2 + (y-4)^2 = 64
Answer:
See the figure attached
Step-by-step explanation:
Let's call :
x: positive response
y: negative response
then the score is:
2x - 3y
A career placement test eliminates a profession when a person receives a score of 18 or less, that's represented by the following inequality:
2x - 3y ≤ 18