Answer:
See picture and explanation below.
Step-by-step explanation:
With this information, the matrix A that you can find is the transformation matrix of T. The matrix A is useful because T(x)=Av for all v in the domain of T.
A is defined as
denotes the vector of coordinates of
respect to the basis
(we can apply this definition because
forms a basis for the domain of T).
The vector of coordinates can be computed in the following way: if
then
.
Note that we have all the required information:
then
hence
The matrix A is on the picture attached, with the multiplication A(1,1,1).
Finally, to obtain the output required at the end, use the properties of a linear transformation and the outputs given:
In this last case, we can either use the linearity of T or multiply by A.
24 Hours in one Day
5 Days
24 <span>× 5 = 120 Hours
Hope that helps! </span>
Answer:
The height of the big cone is double the one in the small cone
h2 = 2h1
Step-by-step explanation:
Given that:
- The volume of the small cone: 5 cubic inches
- The volume of the big cone: 10 cubic inches
As we know, the volume of a cone is as following:
V = (1/3)*area of the base*height
If the base diameter are unchanged => area of the base of the two cones are unchanged and from the given information, the volume of the big cone is double the volume of the small cone. So the height of the big cone is double the one in the small cone
<=> h2 = 2h1
Answer: Red copper = $0.12 per meter
Yellow copper = $0.22 per meter
Step-by-step explanation:
Since Red copper costs $0.90 for 7.6m, the cost of 1m of red copper will be:
= $0.90/7.6
= $0.12
Since yellow copper costs $1.12 5.2m, the cost of 1m of yellow copper will be:
= $1.12 / 5.2
= $0.22 per meter