1a:
580 - (580 × .1) - 20
580 - (58) - 20
522 - 20
502
1b:
990 - (990 × .25) - 20
990 - (247.5) - 20
742.5 - 20
722.5
I'm not sure how to solve #2.
Answer:
Step-by-step explanation:
0.5
Answer:
x = 350 gallons (amt of 60% solution that must be added)
Step-by-step explanation:
Amt of 60% solution = x gallons ; Amt of active ingredient = 0.6x gallons
Amt of 15% solution = 100 gallons ; Amt of active ingredient = 15 gallons
Amt of 50% solution = 100+x gallons ; Amt of active = 50 + 0.5x gallons
EQUATION:
Active ingredient: 0.60x + 15 = 50 + 0.50x
0.10x = 35
x = 350 gallons (amt of 60% solution that must be added)
Answer:
0.3333 (the three continues)
Step-by-step explanation:
If you put 1/3 or 1 divided by 3 in the calculator, then it'll show the decimal form of the fraction.
We find the base of the rectangles by taking the difference between the interval endpoints, and dividing by 2.
Base of rectangle = (6 - 2) / 2
= 2
The area of the first rectangle:
(4 - 2)f(4) = 2[4 + cos(4π)]
The area the second triangle:
(6 - 4)f(6) = 2[6 + cos(6π)]
Now just compute the two areas and combined them. That will give you the estimated under the curve.
To evaluate the midpoint of each rectangle, we take the midpoint of the base lengths of each rectangle. This midpoint is the x value. Then evaluate the function at that x value.
The midpoint of the first rectangle is x=3. Evaluate f(3).
The midpoint of the second rectangle is x=5. Evaluate f(5).
