Answer:
The value of x = 100 ft^3/ day
Step-by-step explanation:
We need to look at what amount of water comes in and what amount of water leaves
What comes in: x ft^3/ day
What leaves : 500x ft^3/ day
We start with 146 000 ft^3
Water in tank = what we start with + what comes in - what leaves
water in tank = 146000 + x*d - 500*d where d is the number of days
After 365 days , the tank has 0 ft^3 of water
0 = 146000 + x*365 - 500*365
Multiply
0 = 146000 + 365x - 182500
Combine like terms
0 = -36500+365x
Add 36500 to each side
36500 = 36500-36500+365x
36500 = 365x
Divide by 365
36500/365 = 365x/365
100=x
The value of x = 100
We integrate the given equation such that,
integral of g(x) = (5/3)x³ - 9x² + 35x
Substituting,
x = 13
integral of g(x) = (5/3)(13³) - 9(13)² + 35(13)
= 2595.67
and, x = 0
integral of g(x) = 0
The area is 2595.67 - 0 = 2595.67
For the second part,
x = 1
integral of g(x) = (5/3)(1)³ - 9(1)² + 35(1)
= 27.67
Area under the curve between x = 0 and x = 1 is 27.67
The difference between the two areas is,
2595.67 - 27.67 = 2568.0
Answer: 2568.0 units squared
Answer:
divide 3.18 by 12 0.265 per slice
P - 15 = 13 - 6p
-15 = 13 -7p
-28 = -7p
4 = p
Hope this helps!
Answer:
5
Step-by-step explanation:
Assuming the intelligence test had 10 questions, since Terry was average for his age group, his most likely IQ score is 5
