Volume = 3.14xradius squared x height so it’s 3.14 x 6x6 x8 = 904.32
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: No
Step-by-step explanation:
Is 1/4 (8y -12) equivalent to 2y - 12? No. 1/4 (8y-12) equals out to 2y-3 not 2y-12. To solve the system of equations below, grace isolated the variable y in the first equation and then substituted into the second equation. what was the resulting equation? 3y=12x x^2/4+y^2/9=1
10 would be you best choice
Answer:
I got x = 1
Step-by-step explanation:
First to isolate the variable you add 3 to both sides which will give you 1/2x is less than or equal to 2. Then divide both sides by 1/2 and you will get x = 1. To check the answer I just did:
And since -2.5 is less than -1 this statement is true. x does in fact equal 1
