Answer:
33493.3
Step-by-step explanation:
Sphere
Solve for volume
V=4/3πr^3 4/3*3.14*20^3=33493.3
Answer:
Step-by-step explanation:
-2 x 14 = -28
b is the answer
I think number #29 is A but may be B and number #30 is C
<h2>
Answer:</h2>
The values of x for which the given vectors are basis for R³ is:

<h2>
Step-by-step explanation:</h2>
We know that for a set of vectors are linearly independent if the matrix formed by these set of vectors is non-singular i.e. the determinant of the matrix formed by these vectors is non-zero.
We are given three vectors as:
(-1,0,-1), (2,1,2), (1,1, x)
The matrix formed by these vectors is:
![\left[\begin{array}{ccc}-1&2&1\\0&1&1\\-1&2&x\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%262%261%5C%5C0%261%261%5C%5C-1%262%26x%5Cend%7Barray%7D%5Cright%5D)
Now, the determinant of this matrix is:

Hence,

Answer:
= 43
Step-by-step explanation:
{7 ×
- 7} -2 ×3
Solve the brackets first
{7 × 8 - 7} -2 ×3
{56 - 7} -2 ×3
49 -2 ×3
49 -6
= 43
you are right