Answer:
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y
=
0
.
Horizontal Asymptote: y
=
0
Step-by-step explanation:
x y
-2 81/4
-1 27/2
0 9
1 6
2 4
77 times 100 is 7,700. So your answer is 7,700
10 + 6n = n - 5
can you solve that?
The answer is 19,448 different
groups, using the formula from permutation and combinations C (n, r) = (n!) /
(r! (n-r)!) which calculates the number of times where r objects can be chosen
from n object.
So,
C (17,7) = (17!) / (7! *(17-7)!)
C (17,7) = (17!) / (7! *10!)
C (17,7) =
(17*16*15*14*13*12*11*10!) / (7! *10!) then eliminate 10!
C (17,7) = (17*16*15*14*13*12*11)
/ (7*6*5*4*3*2*1) = (98017920)(5040)
C (17,7) = 19,448 different
groups
Answer:
10
Step-by-step explanation:
The number of tiles in the design is 1 + 2 + 3 + ...
We can model this as an arithmetic series, where the first term is 1 and the common difference is 1. The sum of the first n terms of an arithmetic series is:
S = n/2 (2a₁ + d (n − 1))
Given that a₁ = 1 and d = 1:
S = n/2 (2(1) + n − 1)
S = n/2 (n + 1)
Since S ≤ 60:
n/2 (n + 1) ≤ 60
n (n + 1) ≤ 120
n must be an integer, so from trial and error:
n ≤ 10
Mr. Tong should use 10 tiles in the final row to use the most tiles possible.
