Answer:
Step-by-step explanation:
The explicit formula for a geometric sequence:
- n-th term
- first term
- common ratio
We have
The common ratio:
<h2>It's not a geometric sequence.</h2>
If then the common ratio is
Put to the explicit formula:
Put and solve for <em>n </em>:
It is best to make a table for this one
Hour | Cells
0 | 1
1 | 2
2 | 4
3 | 8
4 | 16
5 | 32
6 | 64
7 | 128
After 7 hours, there are 128 cells. To find this, you multiply the starting amount by two each hour.
Answer:
t > 82
Step-by-step explanation:
First write what we know.
Earned $72
$4 per ticket, t
Cost is $400
So let's write our equation:
The cost is $400 so we put that on the left side,
$400 =
Now on the right side, we know they earned $72, so +$72 and each ticket (t) is $4 so $4t would represent the amount earned after they sell a certain number of tickets.
So we write:
$400 = $4t + $72 Now solve for t to find the number of tickets they need to sell.
400 = 4t + 72 Subtract 72 from each side.
400 - 72 = 4t + 72 - 72
328 = 4t Divide each side by 4.
328/4 = 4t/4
328/4 = t
82 = t
If the committee wants money left over they need to sell more than 82 tickets!
Our inequality is:
t > 82
Your brother is correct, because the sequence is increasing.
Answer:
New area is 175 42/45 feet 2
Step-by-step explanation:
Given data
Length I= 15 1/4
To proper fraction = 61/4 feet
Width W= 8 11/15
To proper fraction = 131/15 feet
Extention=12/3
To proper fraction = 5/3
Dimensions of new rectangle
Length =61/4+5/3 = 183+20/12
LCM = 12 = 203/12
Width = 131/15+5/3=131+25/15
LCM= 15 = 156/15
Area =203/12*156/15==31668/180
=31668/180
= 7917/45
= 175 42/45 feet 2