Answer:
"The next term should be 11"
Step-by-step explanation:
If we look closely at the sequence we can see:
second term is 3 more than previous
third term is 2 less than previous
fourth term is 3 more than previous
fifth term is 2 less than previous
We can see a pattern. To get next terms, we add 3, to get next to that, we subtract 2. It goes on like this.
Since 4th term to 5th term is "subtracting 2", logically 5th to 6th term (the term we are wanting) should be "add 3". So the term after 8 would be 11
The next term would be 11
You're looking for the volume of the prism. The dead giveaway there is that you're looking for "cubic" measurement. Cubic measures are indicators that the volume is being determined, just like "square feet" or inches, etc indicates area is being determined. The volume for this prism is found by multiplying the length times the width times the height. In decimal form, 45×30×40=54,000. But that is in cubic inches and we want cubic feet. So we will use dimensional analysis to convert that. Setting up the DA looks like this, keeping in mind that there are 12 cubic inches in 1 cubic foot:

. The label of cubic inches cancels out leaving us with cubic feet, and doing the division there gives us 54,000/(12*12*12) which is 31.25 cubic feet.
Answer:
(2,-4)
Step-by-step explanation:
(2,4) is located in Quadrent I (+,+), if you reflect over the x-axis, it would be in Quadrent IV (+,-).
if you dont understand I suggest you draw a coordinate plane on a graphing notebook.
Answer:
y = 1/3x + 10/3
Step-by-step explanation:
Slope: 1/3
Point (-4,2)
b = 2 - (1/3)(-4) = 10/3
Answer:
b
Step-by-step explanation:
b b b b b b b b bb b b b b bb b b bb b bb bb bb b bb b b b b b b b b bb b b b b bb b bb b b b b bb b b b b b b b bb bb