Use your calculator ........................
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.
Answer:
Step-by-step explanation:
<u>Use compound interest formula</u>
- A = P(1 + r)^(nt), where A- future amount, P - invested amount, r- interest rate, t- time, n- number of compounds per year
<u>Given:</u>
- P = $2975
- r = 4% = 0.04
- t = 2.5 years
- n = 1
<u>Substitute the values and calculate:</u>
- A = 2975(1 + 0.04)^2.5 = 3281.48
Correct choice is B
Factor 10 out of 10x+40. So, the correct answer is 10(x+4).
Hope this helps!:)