Answer:
Yes the graphs of the lines are in pair parallel.
Step-by-step explanation:
They are in pair parallel because they do not touch each other. To find the slope of the line that is parallel to 5x+2y=6...
The first thing to do is subtract 5x since its a positive so it would look like this:
5x+2y=6
<u> -5x =-5x</u>
Next you would divide by 2 on each side so the y can be isolated:
5x+2y=6
<u>-5x =-5x</u>
<u>2y</u> = <u>-5x + 6</u>
2 2
Lastly the 2 divided by 2 gets crossed out because they cancel each other out and divide -5x by 2 and 6 by 2 then you would be stuck with this:
y= -2.5x+3
So your parallel slope would be -2.5x.
Differentiate the given solution:
Substitute and into the ODE:
and it's easy to see the left side indeed reduces to 0.
Answer:
D. 100
Step-by-step explanation:
1. Find the z-score: 165-176/11.4 = -1.2
2. Find the percentage of the z-score. Here it's 16.85%
3. Because we are searching for the amount of members that weigh MORE than 165 pounds and not LESS, we need to find the greater percentage by subtracting 16.85% from 100% which is 83.15%. This is the percentage of people that weigh more than 165 pounds.
4. Multiply the percentage by the number of members: 83.15%*120 = 99.78
5. Round it to a whole number because someone can't be 0.78 of a person. You get 100 members.
Also, I took the test :)
Answer:
1519
Step-by-step explanation:
if wrong super sooryyyyy :(