The sum formula for a geometric sequaence is:
sum(n) = a1(1-r^n)/1-r
Where n is the number of terms, a1 is the first term and r is the common ratio:
s(8) = 3(1-1/2^8) / (1-1/2)
s(8) = 3(1-1/256) / 1/2
s(8) = 2 253/256 / 1/2
s(8) = 765/128
The answer is C.
PART - A : tent - 1 volume = 400 cubic ft
Tent -2 volume = 384 cubic ft.
PART - B : I recommend Joe to make the tent -1 with base 10x10 ft. as it has more volume
<u>Step-by-step explanation:</u>
PART - A:
tent 1 :
Base = 10 x 10ft
Height= 12 ft
Volume = (1/3) (10x 10) (12)
= (1/3) (100) (12)
= 400 cubic ft.
Tent 2:
Base = 12 x 12 ft
Height= 8 ft.
Volume = (1/3) (12 x 12) (8)
= 384 cubic ft.
PART - B:
I recommend Joe to make the tent -1 with base 10x10 ft. as it has more volume
Answer:
(x-6) (2x+1)
Step-by-step explanation:
1) move everything over to the left side, so subtract 11x and 6.
2x^2 -11x - 6 = 0
2)multiply 2(a term) with -6 (c term)
x^2 -11x -12
3) factor and find what multiples to -12 and adds up to -11. in this case its -12 and positive 1
(x-12) (x+1)
4) divide -12 and 1 by the original a term (2)
(x-6) (x+1/2)
5) move the denominator of 2 over to the x.
(x-6) (2x+1)
Hello from MrBillDoesMath!
Answer:
x >= 7
Discussion:
x + 5 >= 12 => add -5 to both sides
x + 5 -5 >= 12 - 5 => as 5-5 = 0 and 12 =5 = 7
x >= 7
Thank you,
MrB
