Answer:
3
Step-by-step explanation:
first term a= 2
last term tn= 32
common ratio r= -2
number of terms
= tn=ar^n-1
32 = 2*(-2)^n-1
divide both sides by 2
32/2 = 2*(-2)^n-1/2
16 = (-2)^n-1
Then...use 16 in the power of 2
(-2)^4 = (-2)^n-1
The bases (-2), cancels out
so we have: 4 = n-1
collect like terms
4-1 = n
3 = n
n= 3
<span>a) define the variables
The variables are x and y ; x can represent the number of times Aleah goes swimming ; while y can represents the number of times Aleah goes skating.
b) are there any restrictions on the variables?
The total sum of both activities must be equal or less than $80 a month
c) write a linear inequality to represent this situation
</span><span>Swimming costs $5 each time and skating costs $4 each time. No more than $80 a month.
5x + 4y <u><</u> 80
You can graph linear inequality using these coordinates.
x y
16 0
12 5
8 10
4 15
0 20</span>
Answer:
b
c
d
not sure
not sure
Step-by-step explanation:
Answer:
−2/3b + 13/21
Step-by-step explanation:
Answer:
3/18, or simplified, he has a 1/6 chance of grabbing an adventure book.
Step-by-step explanation:
6 + 5 + 4 + 3 = 18. There's 3 adventure books, which makes it so that he has a 3/18 chance of it being an adventure book. How did I simplify? 18 ÷ 3 = 6, 3 ÷ 3 = 1.
