<h3>
Answer: Choice A. P = 1000M</h3>
===========================================================
Explanation:
Use the log rule
log(A/B) = log(A) - log(B)
this works for any valid log base
So we can say
- log(P/N) = log(P) - log(N)
- log(M/N) = log(M) - log(N)
meaning that
- log(P/N) = 8 turns into log(P) - log(N) = 8
- log(M/N) = 5 turns into log(M) - log(N) = 5
We have this system of equations
Subtract the equations straight down. You'll find the log(N) terms cancel out and we have the new equation log(P) - log(M) = 3 which transforms into log(P/M) = 3
Lastly, convert the log equation into its exponential equivalent form using the idea that log(b,x) = y turns into y = b^x, where b is the base
Throughout this problem, the base wasn't given. Instead its implied we're talking about base 10.
So,
log(P/M) = 3
P/M = 10^3
P/M = 1000
P = 1000M
-------------------------------------
Alternatively,
log(P/N) = 8 turns into P/N = 10^8
log(M/N) = 5 turns into M/N = 10^5
meaning that we can divide the two equations to get P/M = (10^8)/(10^5). That simplifies to P/M = 1000 and rearranges to P = 1000M
The problem gives you X, so replace X witht he given vaule and solve for y:
y = -0.1x^2 + 4X
X = 40
y = -0.1(40)^2 +4(40)
y = -0.1(1600) + 160
y = -160 + 160
y = 0
Consider the given equation:
Applying distributive property,
Adding and subtracting like terms, we get
x = 3.8
So, the value of 'x' in the given equation is 3.8
Answer:
Step-by-step explanation:
You put this in the wrong place, but I'll answer it anyway.
Let's see what we can get out of it.
1. It allowed western expansion.
2. It gave the United States a southern route to enhance trade.
3. It brought America closer to the slave trade which the southern states needed at the time. I don't like posting this answer, but it is a historical fact.
4. It made things a little difficult for the Spanish who had the ports in Louisiana.
5. It made the land route to the west coast a little easier to do. Not much but some.
6. Considering the cost of the land and how it was later developed, the price paid was a steal.