Answer:
1.) 7th degree trinomial
2.) 5th degree binomial
Step-by-step explanation:
The degree of a term of a polynomial is the sum of the exponents of all the variables of that term. The degree of a polynomial is the same as the term with highest degree. Remember that a plain variable has degree 1. FOr example, 5x is a term of first degree because x is the same as x^1, so its degree is 1.
1.) m^5n^2 +mn^2 + n^6
Look at each term:
m^5n^2: degree = 5 + 2 = 7
mn^2: degree = 1 + 2 = 3
n^6: degree = 6
The highest degree of any term is 7, so the degree of the polynomial is 7.
The polynomial has 3 terms, so it's a trinomial.
Answer: 7th degree trinomial
2.) 12a^3b + 9a^2bc^2
Look at each term:
12a^3b: degree = 3 + 1 = 4
9a^2bc^2: degree = 2 + 1 + 2 = 5
The highest degree of any term is 5,so this is a 5th degree polynomial.
The polynomial has two terms, so it's a binomial.
Answer: 5th degree binomial
In order to obtain a standard deviation of 0, all members of the data set should be equal.
This means that each of the 100 members in the data set is equal to 50 (the mean value).
Answer:
The smallest observation in the set is 50.
Answer: he has 1 orange balloon
Step-by-step explanation:
A = Sock's weight
b = Princess' weight
c = Luna's weight
a : b = 4 : 5
b : c = 6 : 7
at this point, we have to change the 2 ratios (a : b and b : c) into one ratio (a : b : c)
to do that, we have to change the ratio number so the number b in both ratio is the same
a : b = 4 : 5 = 24 : 30
b : c = 6 : 7 = 30 : 35
From that we can conclude that
a : b : c = 24 : 30 : 35
Since we're looking for the ratio of Sock's weight to Luna's weight, it will be
a : c = 24 : 35
