Answer:
12
Step-by-step explanation:
4y - 2x
= 4(7) - 2(8)
= 28 - 16
= 12
Answer:
Plot for Variable C Only
Step-by-step explanation:
Trust me, unless your teacher switched the order of the charts in which case it's the linear one!
Answer:
52m²
Step-by-step explanation:
For this you would consider each face of the figure as a rectangle, and then multiply it by two.
Face 1:
3m×4m×2=24m²
Face 2:
4m×2m×2=16m²
Face 3:
3m×2m×2=12m²
Then you add each of them together to get the overall surface area
12m²+16m²+24m²=52m²
Therefore the final surface area is 52m²
Answer:
Option: 
Step-by-step explanation:
<u>Looking for key words in the problem:</u>
"At Most" represents important key words, meaning the maximum amount of hotdogs that are at the barbecue.
<u>Inequality:</u>
h 
16 represents the maximum amount of hotdogs that has to be at the barbecue, also represents less than 16 can be cooked.
The answer choices are sufficiently far apart that you can work this backward. The sum will be ...
236,196*(1 + 1/3 + 1/9 + 1/27 + ...)
so a reasonable estimate can be given by an infinite series with a common ratio of 1/3. That sum is
236,196*(1/(1 - 1/3)) = 236,196*(3/2)
Without doing any detailed calculation, you know the best answer choice is ...
354,292
_____
There are log(236196/4)/log(3) + 1 = 11 terms* in the series, so the sum will be found to be 4(3^11 -1)/(3-1) = 2*(3^11-1) = 354,292.
Using the above approach (working backward from the last term), the sum will be 236,196*(1-(1/3)^11)/(1-(1/3)) = 236,196*1.49999153246 = 354,292
___
* If you just compute log(236196/4)/log(3) = 10 terms, then your sum comes out 118,096--a tempting choice. However, you must realize that the last term is larger than this, so this will not be the sum. (In fact, the sum is this value added to the last term.)
