Answer:
There are 795 combinations.
Step-by-step explanation:
The number of ways or combinations in which we can select k element from a group of n elements is given by:
So, if Miriam want to choose 3 movies with at least two comedies, she have two options: Choose 2 comedies and 1 foreign film or choose 3 comedies.
Then, the number of combinations for every case are:
1. Choose 2 Comedies from the 10 and choose 1 foreign film from 15. This is calculated as:
2. Choose 3 Comedies from the 10. This is calculated as:
Therefore, there are 795 combinations and it is calculated as:
675 + 120 = 795
Answer: 3
Step-by-step explanation: The common difference of an arithmetic sequence is the constant difference between consecutive terms. To find the common difference, we can subtract any term from its previous term. In this case, we can subtract -4 from -7 or -1 from -4. Both subtractions yield a result of 3. Therefore, the common difference of the arithmetic sequence -7, -4, -1, … is 3
The required polynomial to a 22nd degree is
Given the polynomial function, ,, we are to add one term to the polynomial to make it into a 22nd-degree polynomial.
Note the highest and leading power of the variable of any function is the degree of such function.
To convert the given polynomial to a 22nd-degree function, we will simply add a variable term x with a degree of 22 to have:
Hence the required polynomial to a 22nd degree is
Learn more here: brainly.com/question/2706981
Given:
The polynomial is
To find:
One term which is used to add in given polynomial to make it into a 22nd degree polynomial.
Solution:
Degree of a polynomial is the highest power of the variable.
Let,
Here, the highest power of x is 19, so degree of polynomial is 19.
To make it into a 22nd degree polynomial, we need to need a term having 22 as power of x.
We can add , where k is constant.
So add in the given polynomial.
Now, the degree of polynomial is 22.
Therefore, the required term is .
Answer:
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Step-by-step explanation:
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Answer:
JK = 24
Step-by-step explanation:
Δ BKJ and Δ BCA are similar triangles and ratios of corresponding sides are equal, that is
= , substitute values
= ( cross- multiply )
5JK = 120 ( divide both sides by 5 )
JK = 24
the triangles are all similar, because they have proportional sides and equal angles.
if you assume the smallest, equal part of side to be x
the biggest triangle has "5 parts" so BC=5x and BK has 3 parts so BK=3x .
since they're similar, ratio of their corresponding sides is constant or equal.
BK/BC=3/5
and AC=40
so JK = 40*3/5=24