Answer:
≈ 1.32471795725...
Explanation:
If x is one less than its cube, then
x = x³ - 1,
x³ - x - 1 = 0
so f(x) = ? would be an appropriate (continuous) function to apply the Intermedate Value Theorem on some appropriate interval to see if it takes on the value 0 in that interval.
f(x) = x³ - x - 1
For large x the left hand side is positive, for x = 0 it is negative. The root can be calculated exactly, it is given by:
![\sqrt[3]{\frac{1}{2} + \sqrt{\frac{1}{4} - \frac{1}{27} } } + \sqrt[3]{\frac{1}{2} - \sqrt{\frac{1}{4} - \frac{1}{27} } }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B2%7D%20%2B%20%5Csqrt%7B%5Cfrac%7B1%7D%7B4%7D%20-%20%5Cfrac%7B1%7D%7B27%7D%20%7D%20%20%7D%20%2B%20%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B2%7D%20-%20%5Csqrt%7B%5Cfrac%7B1%7D%7B4%7D%20-%20%5Cfrac%7B1%7D%7B27%7D%20%7D%20%20%7D)
≈ 1.32471795725...
Answer:
1,2,5 equal 32
Step-by-step explanation:
Hello from MrBillDoesMath!
Answer: C
Discussion:
Using a calculator, sqrt (37) is approx 6.082 and 55/9 is approx 6.11.
Using these values only choice C makes any sensee:
6/82 > 6.28 (= 2*pi approx ) >6.11 ( = 55/9 approx )> 6.082 (= sqrt(37) approx)
Thank you,
MrB
When dealing with a pool of data, the field of study is called statistics. This refers to the study of sample data and how they correlate it with the overall trend of the population. By doing this, they use terms that can best represent the sample data. These three are the most common:
1. Mean - this is the arithmetic average of the data
Mean = (<span>8+41+25+9+22+36+24+13+25+28)/10 = 23.1
2. Mode - this is the most frequent data point that can occur. In this case, the mode is 25 because it occurred twice.
3. Median - this is the middle of the sample data arranging it from least to greatest. In this case: 8, 9, 13, 22, 24, 25, 25, 28, 36, 41. The middle number is 25. Thus, the median is 25.</span>
While Gary is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown ( I attached below the picture that should have support your question). And If he starts with the assumption that segment DE is parallel to segment BC I am pretty sure that <span>inequality which he will use to contradict the assumption is the first option : </span><span>
4:10 ≠ 6:14</span>