Answer:
- a(x) = 20 + 0.60x
- domain [0, 50]; range [20, 50]
- maybe
Step-by-step explanation:
a) If x liters are removed from a container with a volume of 50 L, the amount remaining in the container is (50 -x) liters. Of that amount, 40% is acid, so the acid in the container before any more is added will be ...
0.40 × (50 -x)
The x liters are replaced with 100% acid, so the amount of acid that was added to the container is ...
1.00 × (x)
Then after the remove/replace operation, the total amount of acid in the container is ...
a(x) = 0.40(50 -x) +1.00(x)
a(x) = 20 +0.60x . . . . . liters of acid in the final mixture
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b) The quantity removed cannot be less than zero, nor can it be more than 50 liters. The useful domain of the function is 0 ≤ x ≤ 50. (liters)
The associated range is 20 ≤ a ≤ 50. (liters)
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c) As we found in part b, the amount of acid in the final mixture may range from 20 liters to 50 liters. So, the percentage of acid in the final mix will range from 20/50 = 40% to 50/50 = 100%. The mixture could be 50% acid, but is not necessarily.
Answer:
5
Step-by-step explanation:
5+12= 17
The length of the rectangle is: 25 m
The perimeter of the rectangle is: 88 m
<h3>What is the Area and Perimeter of a Rectangle?</h3>
Area of a rectangle = (length)(width).
Perimeter of a rectangle = 2(length + width).
Give the following:
Width of rectangle = 19 m
Area of rectangle = 475 m²
Find the Length using the area formula:
475 = (length)(19)
475/19 = length
Length of the rectangle = 25 m
Find the perimeter of the rectangle
Perimeter of the rectangle = 2(25 + 19)
Perimeter of the rectangle = 2(44)
Perimeter of the rectangle = 88 m
Thus, the length of the rectangle is: 25 m
The perimeter of the rectangle is: 88 m
Learn more about the area and perimeter of rectangle on:
brainly.com/question/24571594
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Answer:
I dont know the answer but I can help
Step-by-step explanation:
every shape is 360 degrees so the ones with squares in the corner is 90 degrees add all the angles you know and subtract that from 360 then ÷ by the a glass that are missing hope that helps