The spherical container has a radius of 4ft (where ft represents feet)
Its filled with gas that costs $12 per ft³
The value of gas in the container = ?
The volume of a sphere = 4/3r³
The volume of the container = 4/3 × × 4³ ft³
One cubic foot = $12
4/3 × × 64 = How much?
Cross multiplying gives:
4/3 × ×64 × $12 = $3216.99 (Rounded up to nearest one cent)
Answer:
C. T is not one-to-one because the standard matrix A has a free variable.
Step-by-step explanation:
Given
Required
Determine if it is linear or onto
Represent the above as a matrix.
From the above matrix, we observe that the matrix does not have a pivot in every column.
This means that the column are not linearly independent, & it has a free variable and as such T is not one-on-one