The answer is 47 because 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47
Answer:
Solution : (15, - 11)
Step-by-step explanation:
We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )

Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )
Row Echelon Form :

Step # 1 : Swap the first and second matrix rows,

Step # 2 : Cancel leading coefficient in row 2 through
,

Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.

As you can see our solution is x = 15, y = - 11 or (15, - 11).
Answer:Consider the Set A = {X | X is an even whole number between 0 and 2 } = .
Since, whole numbers are the set of numbers starting from zero upto infinity.
Even numbers are the numbers which are exactly divisible by '2'.
So, we have to find the even whole number between 0 and 2.
Since, only '1' is a whole number between 0 and 2 which is not an even number as '1' is not divisible by '2'.
Therefore, there is no even whole number between 0 and 2.
So, this set is empty.
Therefore, A = { X | X is an even whole number between 0 and 2} =
Step-by-step explanation:
Answer:
1. B
2. B
Step-by-step explanation:
1. Three points are collinear if they lie on the same line. The diagram shows two triples of points that lie on the same line:
- points B, C and D;
- points A, C and E.
Thus, option B is true.
2. Another way to name the plane is to select three points which do not lie on the same line and write them consequently. As you can see from the diagram, points B, F and D lie on the plane M, but do not lie on the same line. Thus, another way to name plane M is BFD.
To solve this we are going to use the formula for the volume of a sphere:

where

is the radius of the sphere
Remember that the radius of a sphere is half its diameter; since the first radius of our sphere is 24 cm,

. Lets replace that in our formula:



Now, the second diameter of our sphere is 36, so its radius will be:

. Lets replace that value in our formula one more time:



To find the volume of the additional helium, we are going to subtract the volumes:
Volume of helium=

We can conclude that the volume of additional helium in the balloon is
approximately <span>
17,194 cm³.</span>