Answer:
See below
Step-by-step explanation:
Integrating a function basically means you are taking the inverse of finding a derivative of the function. Integration is used to find the area under a curve or multiple curves, or even volume.
For instance, 
because the derivative of 
is 
.
<span>#2) 629 students and 111 faculty. #3) 1259 skiers and 2518 snowboarders.
Explanation<span>:
#1) Let S be the number of students and F be the number of faculty. S/F = 17/3.
We know that S+F = 740; subtracting F from both sides, we have S=740-F. We can use this to rewrite the proportion:
(740-F)/F=17/3.
Cross multiply:
3(740-F)=17(F).
Using the distributive property, we have
3*740-3*F=17F; 2220-3F=17F.
Add 3F to both sides:
2220-3F+3F=17F+3F
2220=20F.
Divide both sides by 20:
2220/20 = 20F/20
111=F.
There are 111 faculty members. Substitute that into our equation, S=740-F: S=740-111
S=629.
#2) Let x be the number of skiers. We know that there were 1259 more snowboarders with passes than skiers; that gives us x+1259.
The ratio of skiers to snowboarders is 1/2; this gives us the proportion x/(x+1259)=1/2.
Cross multiply:
2(x)=1(x+1259)
2x=x+1259.
Subtract x from both sides
2x-x=x+1259-x
x=1259.
There were 1259 skiers. This means there were 1259+1259=2518 snowboarders.</span></span>
I am really not sure what you are trying to ask but 40 divided by 13 is 3.07692308
Answer:
Step-by-step explanation:
Tess is wrong while Dan is correct. This is because tax is calculated after discount.
Finding the correct amount they are supposed to pay:
Price after discount = 85/100 x 24.5 = 20.825
Price after tax = 110/100 x 20.825 = 22.90
Since they have $24 each, it means they can purchase the book
The temperature of the air mass would be 5°C after it rises.
Air temperature drops 1°C for every 100 m it rises:
1/100 = x/500
Cross multiply:
500*1 = 100*x
500=100x
Divide both sides by 100:
500/100 = 100x/100
5 = x
The temperature will drop 5°; 10-5 = 5°C for the new temperature.
