The volume of a rectangular prism is its length times width times height, or algebraically, 
. You may be used to computing volume with numbers, but remember, a variable is a stand-in for a number. So you can solve this in the same way. Substitute 
into the formula for volume. You get 
, and you multiply these factors together. As you would with ordinary fractions, multiply the numerators and denominators across. You get 
. It seems that the book wants you to simplify by bringing the 6 up to the denominator. Recall the rule 
, if n is non-negative. The opposite applies so that 
. For your final answer, you write 
. This corresponds to answer choice B.
Solve for x, y = 2(x − 17)^2
1 answer:
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Answer:
Percentage of Taxes = 10.689 %
Step-by-step explanation:
Given that
Total earning of Anna is $442.50
The amount which is held with Taxes = $47.30
Now in terms of percentage
percentage of taxes from her total earning =
So % taxes = ( 0.106892) × 100
∴ Taxes percentage = 10.689 %
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.