Answer:
Step-by-step explanation:
sinx/6=sin90/19
sinx=6sin90/19
x=arcsin(6sin90/19
x=18 degrees
Answer:
5.455
Step-by-step explanation:
I just thought of the numbers lower than it starting from 5.455 and it is the lowest number rounding up makes 5.46
Answer is the last expression 3^-3 / 3^4
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:
7 1/24
Step-by-step explanation:
First, you have to get the fractions to have the same denominator. So, you take 2/3 and 3/8 and find the smallest number by multiplying for the denominator. That number is 24 because 3 times 8 is 24 and 8 times 3 is 24.
Then, you multiply both the denominator and the numerator by the number that you got for the fractions. 2 * 8 = 16 3 * 8 = 24. 3 * 3 = 9 8 * 3 = 24. So, that gives you 16/24 and 9/24. Now since they have the same denominator you can add them.
This gives you 25/24 which equals 1 1/24.
Next, you can add the whole numbers. That is 6.
Lastly, take your fraction answer and your whole number answer and you get 7 1/24.
I hope this helps! =)
