Answer:
Median
Step-by-step explanation:
Answer:
The set of polynomial is linearly independent
Explanations:
For clarity and easiness of expression, the complete solution is handwritten in the file attached. However, the following are the steps taken:
1) The coordinate vectors of the polynomials are formed as:
(1,0,6,-1), (0,1,02) and (1,1,6,0)
2) A matrix is formed using the coordinates of the polynomials as the columns of the matrix
3) The polynomial formed is row reduced to form an echelon matrix.
4) As seen from the reduced echelon form of the matrix, the rank of the matrix = 3
5) since the rank = number of polynomials = 3, the set of polynomials is linearly independent.
The expression is n/2 + 3 = 7
Answer:
15) 3.2
17) 13.4
Step-by-step explanation:
To find the missing lengths, you need to use the Pythagorean theorem:
a² + b² = c²
In this form, "c" represents the length of the hypotenuse and "a" and "b" represent the lengths of the other two sides.
You are trying to find one of the side lengths (not the hypotenuse) in 15). To find the other length, you can plug the other values into the equation and simplify to find "b".
15) a = 4.1 c = 5.2
a² + b² = c² <----- Pythagreom Theorem
(4.1)² + b² = (5.2)² <----- Plug values in for "a" and "c"
16.81 + b² = 27.04 <----- Raise numbers to the power of 2
b² = 10.23 <----- Subtract 16.81 from both sides
b = 3.2 <----- Take the square root of both sides
You are trying to find the hypotenuse in 17). Since you have been given the lengths of the other sides, you can plug them into the equations and simplify to find "c".
17) a = 4.4 b = 12.7
a² + b² = c² <----- Pythagreom Theorem
(4.4)² + (12.7)² = c² <----- Plug values in for "a" and "b"
19.36 + 161.29 = c² <----- Raise numbers to the power of 2
180.65 = c² <----- Add
13.4 = c <----- Take the square root of both sides
The value of the 8 is 80,000
