Answer:
See below for answer
Step-by-step explanation:
The radius of the sphere is 5 inches. Correct?
Formula for the volume of a sphere is 4/3πr³
V = 4/3 · π · r³
V = 4/3 · π · 5³
V = 4/3 · π · 125
V = 4/3 · 125 · π
V = 500 /3 · π
V = 523.3 cubic inches Using π = 3.14
if using π on the calculator then V = 500/3 ·π = 523.6cubic inches
Answer:
24
Step-by-step explanation:
the area of white board = (2×12) ×4 = 96 sq in.
the area of post-it = 2×2 = 4 sq in
so, numbers of post-it = 96/4 = 24
Answer:
Step-by-step explanation:
MX = XN
5r² + 2r + 52 = 4r² + 12r + 27
5r² - 4r² + 2r - 12r + 52 - 27 = 0
r² - 10r + 25 = 0
(r - 5)² = 0
r - 5 = 0
r = 5
4r² + 12r + 27
4•5² + 12•5 + 27
4•25 + 60 + 27
100 + 60 + 27
187
The Second one
I hope I helped you.
Answer:
Arithmetic sequence.
Step-by-step explanation:
We have been given a sequence : -2, 0, 2, 4, 6. We are asked to define the type of our given sequence.
We can see from our given sequence that each next term is 2 more than the previous term of the sequence.



Since the difference between the consecutive terms is constant and each next term is produced by adding 2 to preceding term, therefore, our given sequence is an arithmetic sequence.
Answer:
$365,400
Step-by-step explanation:
If their budget is $5,060 this year and its $1,000 higher, than we can say that last year was $4060. Next, we look at the 11%. Their entertainment is 11% of the total budget. This means the rest of the budget is 89%. Multiply $4,060 by 89 which gets you $361,340. Add this with the $4060 (the 11% left) and it's $365,400. (I'm not sure if my math is 100% correct, but I know these are the proper steps.)