Answer:
AC = 52
Step-by-step explanation:
Add the segment lengths together.
AB + BC = AC
22 + 30 = 52
Answer:
Step-by-step explanation:
This is a system of equations. The 2 equations are:
4c + 2p = 16
2c + 3p = 12
Let's get rid of the p's first. Do this by multiplying the first equation by -3 and the second equation by 2 to get a new system that looks like this:
-12x - 6p = -48
4c + 6p = 24
Now add to get
-8c = -24 and
c = 3
That means that chocolate is $3 per pound. Now sub that back in to either one of the original equations to get the price for peanuts:
4(3) + 2p = 16 and
12 + 2p = 16 and
2p = 4 so
p = 2
The price for peanuts is $2 per pound.
A = (Vf - Vi)/t
Multiply by t on both sides to clear the denominator
at = Vf - Vi
Add Vi to both sides.
at +Vi = Vf
Given:
The sequence is:

To find:
The 6th term of the given sequence.
Solution:
We have,

Here, the first term is:

The ratio between consecutive terms are:


The given sequence has a common ratio 5. So, the given sequence is a geometric sequence.
The nth term of a geometric sequence is:

Where, a is the first term and r is the common ratio.
Substitute
to get the 6th term.




Therefore, the 6th term of the given sequence is 50000.
Answer:
x=3 and x=1
Step-by-step explanation:Horizontal asymptote will occur at x=3 and x=1.
You have to factorize the denominator and find the zeroes of the denominator. That is how you find out the horizontal asymoptote.