Answer:
True. See the explanation and proof below.
Step-by-step explanation:
For this case we need to remeber the definition of linear transformation.
Let A and B be vector spaces with same scalars. A map defined as T: A >B is called a linear transformation from A to B if satisfy these two conditions:
1) T(x+y) = T(x) + T(y)
2) T(cv) = cT(v)
For all vectors 
and for all scalars 
. And A is called the domain and B the codomain of T.
Proof
For this case the tranformation proposed is t: 
Where 
For this case we have the following assumption:
1) The transpose of an nxm matrix is an nxm matrix
And the following conditions:
2) 
And we can express like this 
3) If 
and then we have this:
And since we have all the conditions satisfied, we can conclude that T is a linear transformation on this case.
Answer:
1/6 times the number cube wil land on 2
Step-by-step explanation:
It's not perfectly clear, but you seem to be saying that each week, the
pond becomes 3% deeper than it was THE PREVIOUS WEEK.
If I'm reading that correctly, then the pond is 10-ft deep when the rainy
season begins, and after 'x' weeks later, the depth is
D = 10 (1.03)^x feet.
After 8 weeks, the depth is D = 10 (1.03)⁸ = 12.67 feet .
rounded to the nearest foot, D = 13 ft.
<u>Answer:</u>
$14
<u>Step-by-step explanation:</u>
Assuming the cost of folder to be 
, then the cost of notebook will be 
and the cost of set of pencils will be 
.
Cost of the folder = $2
Cost of notebook = 4 × 2 = $8
Cost of pencil = 2 × 2 = $4
Total cost of 1 folder, 1 notebook and 1 set of pencils = $2 + $8 + $4 = $14
The answer is 1.48226407 hope it helps
