We use the trinomial theorem to answer this question. Suppose we have a trinomial (a + b + c)ⁿ, we can determine any term to be:
[n!/(n-m)!(m-k)!k!] a^(n-m) b^(m-k) c^k
In this problem, the variables are: x=a, y=b and z=c. We already know the exponents of the variables. So, we equate this with the form of the trinomial theorem.
n - m = 2
m - k = 5
k = 10
Since we know k, we can determine m. Once we know m, we can determine n. Then, we can finally solve for the coefficient.
m - 10 = 5
m = 15
n - 15 = 2
n = 17
Therefore, the coefficient is equal to:
Coefficient = n!/(n-m)!(m-k)!k! = 17!/(17-5)!(15-10)!10! = 408,408
The statements are true about the graphs of all nth degree polynomials are B and D.
B. It goes up and down at most a total of n times.
D. The number of x-intercepts is at most n.
Differences between two samples are least likely to be statistically significant if<span>the samples are small and the standard deviations of the samples are large</span>
Answer:
The correct options are;
Therefore, City A is likely to have temperatures that remain fairly constant all year round because it has a compact interquartile range compared to that of City B
City B is likely to have more extreme temperatures with colder days in the winter and hotter days in the summer because the range is greater than that of A
Step-by-step explanation:
Here we have for City A
Maximum - Minimum = 10
Interquartile range =3
City B
Maximum - Minimum = 18.5
Interquartile range =9.5
Therefore, City A is likely to have temperatures that remain fairly constant all year round because it has a compact interquartile range compared to that of City B
City B is likely to have more extreme temperatures with colder days in the winter and hotter days in the summer because the range is greater than that of A.
Answer:
- <em><u> It begins to move toward the right</u></em>
Explanation:
The given information can be summarized in this way:
- First force vector: Fg = - 8N (vertical down)
- Second force vector: Ft = 6N (horizonal right)
- Third force vector: FN = 8N (vertical up)
- Fourth vector: Ff = - 4N (horizontal left)
Following Newton's second law, net force equal mass times acceleration:
- Net force = mass × acceleration
To predict the motion, you apply Newton's second law in each direction (vertical and horizontal)
- <u>Vertical force balance:</u>
Net vertical force = 8N - 8N = 0. This means there is not motion in the vertical direction.
- <u>Horizontal force balance:</u>
Net horizontal force = 6N - 4N = 2N. This means there is a net force of 2N to the right, which lets you predict that the bone starts to accelerate to the right; this is, the bone begins to move toward the right.
