Answer:
1/8
Step-by-step explanation:
To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.
We can then rewrite the square root terms as follows:
√3/√8 = √(3) / √(2 * 2 * 2)
Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:
√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)
Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:
√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2
Finally, we can use the rules of division to simplify the expression even further:
√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)
Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:
√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8
Therefore, the simplified form of the expression √3/√8 is 1/8.
The ans is3^1/3*9^1/3=27^1/3=3
9514 1404 393
Answer:
a. 0.81
b. v = 28000(0.81^n)
c. 2757.36
Step-by-step explanation:
a. The growth factor is 1 more than the growth rate. Here, the growth rate is -19% (per year), so the growth factor, the multiplier, is ...
1 -0.19 = 0.81
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b. The equation sets value equal to the original value multiplied by the growth factor to the power of the number of years:
value = (original value) × (growth factor)^n
v = 28000(0.81^n)
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c. For n=11, this is ...
v = 28000(0.81^11) ≈ 2757.36
The value of the truck after 11 years is about $2757.
Answer:
X=10.2
Step-by-step explanation:
Divide 18 to both sides and you get -12
