Answer:
C
Step-by-step explanation:
The standard form for the explicit formula of a geometric sequence is given by:
![a_n=a\cdot(r)^{n-1}](https://tex.z-dn.net/?f=a_n%3Da%5Ccdot%28r%29%5E%7Bn-1%7D)
Where a is the initial term, r is the common ratio, and n is the nth term.
Our sequence is: 8, 4, 2, 1...
So, we can see that our initial term or a is 8.
Each subsequent term is half of the previous one. So, our common ratio is 1/2.
Let's substitute 8 for a and 1/2 for r to acquire:
![a_n=8\cdot(\frac{1}{2})^{n-1}](https://tex.z-dn.net/?f=a_n%3D8%5Ccdot%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7Bn-1%7D)
So, our answer is C.
And we're done!
ANSWER
$430.20
STEP BY STEP
there are 12 months in a year so multiply that number by 12.
Hope this helps
Answer:
10 bags
Step-by-step explanation:
Take the number of bags raked and divide by the number of hours
30bags/ 3 hours
10 bags per hour
In 1 hour we can rake 10 bags
Answer:
816 cm²
Step-by-step explanation:
Surface area of the composite figure = (surface area of the larger rectangular prism + surface area of the smaller rectangular prism) - area of the side of the smaller rectangular prism that is joined to the bigger prism.
✔️Surface area of the larger rectangular prism:
Area = L*W*H = 20*5*6 = 600 cm²
✔️surface area of the smaller rectangular prism:
Area = L*W*H = 12*4*6 = 288 cm²
✔️area of the side of the smaller rectangular prism that is joined to the bigger prism.
Area = L*W = 12*6 = 72 cm²
Surface area of the composite = (600 + 288) - 72 = 888 - 72 = 816 cm².
8 ÷ (2 3/4) = 32/11
248 ÷ (32/11) = B. 85 1/4 cubic feet