9514 1404 393
Answer:
5) 729, an=3^n, a[1]=3; a[n]=3·a[n-1]
6) 1792, an=7(4^(n-1)), a[1]=7; a[n]=4·a[n-1]
Step-by-step explanation:
The next term of a geometric sequence is the last term multiplied by the common ratio. (This is the basis of the recursive formula.)
The Explicit Rule is ...
for first term a₁ and common ratio r.
The Recursive Rule is ...
a[1] = a₁
a[n] = r·a[n-1]
__
5. First term is a₁ = 3; common ratio is r = 9/3 = 3.
Next term: 243×3 = 729
Explicit rule: an = 3·3^(n-1) = 3^n
Recursive rule: a[1] = 3; a[n] = 3·a[n-1]
__
6. First term is a₁ = 7; common ratio is r = 28/7 = 4.
Next term: 448×4 = 1792
Explicit rule: an = 7·4^(n-1)
Recursive rule: a[1] = 7; a[n] = 4·a[n-1]
Answer:
11403.98133
Step-by-step explanation:
V = πr^2h = π·11^2·30 ≈ 11403.98133
9514 1404 393
Answer:
swordfish
Step-by-step explanation:
The graph shows the marlin travels 50 miles in 1 hour, and 150 miles in 3 hours. These numbers can be compared directly to those given for the tuna (43.5 miles in 1 hour) and the wahoo fish (144 miles in 3 hours).
The speeds of the swordfish and shark are the coefficients of x in their respective equations. The swordfish travels 60 mph, so is faster than the marlin. The shark travels 31 mph, so is slower.
Answer:
20 cans
Step-by-step explanation:
Eileen collected 78 empty cans to recycle
Carl collected 62 empty cans to recycle
They pack equal number of cans in 7 boxes
Therefore the number of cans in each boxes can be calculated as follows.
= 62 + 78/7
= 140/7
= 20
Hence there were 20 cans in each boxes
Surface area is:
6*8=48
12*10=120
8*12=96
6*12=72
48+72+120+96 = 336
The surface area is 336 square km
