First: 0
Second: 0
Third: -5
Fourth: y=4x
Answer: I believe you are correct I got the same answer as you.
Answer:
m<I=57
m<J=57
m<K=66
Step-by-step explanation:
All the angles in a triangle add up to 180 degrees.
m<I= 3x+18
m<K= 5x+1
m<I is congruent to m<J.
We can plug the information we already know into the equation.
3x+18+3x+18+5x+1=180
11x+37=180
Subtract 37 from both sides.
11x=143
x=13
Now, we can find out what the angles are.
m<I= 3x+18
m<I=3(13)+18
m<I=39+18
m<I=57
We know that m<I=m<J, so they are both equal to 57 degrees.
m<J=57
Now for m<K:
m<K=5x+1
m<K=5(13)+1
m<K=65+1
m<K=66
We know this is correct because 57+57+66=180.
Answer:
It will take 34.33
Step-by-step explanation:
* Lets talk about the compound continuous growing
- Compound continuous growing can be calculated using the formula:

# A = the future value
# P = the initial amount
# r = the growing rate in decimal
# t = the time
* Lets solve the problem
- The population of a particular country is growing at 3.2 %
compounded continuously
∴ r = 3.2/100 = 0.032
- We need to find how long will it take the population to triple
∵ The initial population is P
∴ A = 3P
∵ 
∴ 
- Divide both sides by P
∴ 
- Insert ㏑ for both sides
∴ 
- Remember 
∴ ㏑(3) = 0.032t
- Divide both sides by 0.032
∴ t = ㏑(3)/0.032 = 34.33
* It will take 34.33