Answer:
(-9/2,3/2)
Step-by-step explanation:
x coordinate of mid point=(x1+x2)/2
y coordinate of mid point=(y1+y2)/2
(2,0,-1,-1,-2) that is the domain from what I remember. Hope that help
Step-by-step explanation:
do you need graph paper?
just minus the 2nd cordnates x to the 1dt cordnates x and same for the y. that will give you the distance for each x and y points
Answer: Volume = 97.6
Step-by-step explanation:
Volume of the cone first
V = 1/3 h π r²
<u>h = 0.7</u>
<u>r = 2</u>
V = 1/3 × 0.7 × 2² × 3.14
V = 1/3 × 0.7 × 4 × 3.14
V = 1/3 × 8.792
V = 2.93
Then find the volume of the cylinder if the cone was there.
V = π r² h
<u>r = 2</u>
<u>h = 8 </u>
V = 3.14 × 2² × 8
V = 3.14 × 4 × 8
V = 3.14 × 32
V = 100.48
Now you subtract the volume of the cone from the cylinder.
100.48 - 2.93 = 97.55
Rounded to the nearest tenth is 97.6
Hope this was helpful, I know it is a lot to look at but I tried my best.
Also, can I get brainliest? I worked really hard on this.
Answer:
x(t) = 581.66 lb
Step-by-step explanation:
From the given information:
Consider the salt quantity in the tank at time t be x(t) lb.
∴ the rate of change of salt content in the tank is 
where:
the rate of inflow = salt conc. × flow rate = 3 lb/gallon × 7 gallons
=21 lb/s
rate of outflow = salt conc. in the tank × flow rate
= x/250 × 9
= 9x/250 lb/s
∴
This is a 1st order linear differentiation,
The integrating factor if 
∴
at t = (0) and x(0) = 100 lb
Hence;
∴
after time t = 1 minute i.e 60 s
x(t) = 581.66 lb
