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.
To divide 36/9 using the number line you have to jump from zero with length of 9 until reach 36, and the result will be the number of jumps.
I do the jumps by steps, but you can draw in the number line:
0. First jump from 0 to 9.
,
1. Second jump from 9 to 9+9=18.
,
2. Third jump from 18 to 18+9=27.
,
3. Fourth jump from 27 to 27+9=36.
,
4. Great!! We already reach 36.
So, we need four jumps of 9 to reach 36 from 0.
So, the result is 36/9=4
Answer:
300,000,000
Step-by-step explanation:
299,792,458
2 rounded to 9 is the answer
Answer:
50.272 in^2
Step-by-step explanation:
Step one:
Given data
Circles are described using the diameter parameter
Diameter of the circle is 8 inches
radius = 4 inche= d/2
Step two:
The area of the circle is
A= πr^2
A= 3.142*4^2
A=3.142*16
A=50.272 in^2
