What is the square root of 50?
2 answers:
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For this case we have the following equation:
Where,
I: <span>the intensity of a given sound
I0: </span><span> the threshold of a hearing intensity
</span>Substituting values in the given equation we have:
<span />
<span />Rewriting the equation we have:
<span />
<span />Then, by properties of logarithm we have:
<span />
<span />Finally we have:
<span />
<span />Answer:
T<span />he intensity, in decibles, [I(dB)], when I=10^8(I0) is:
D.80
Where,
I: <span>the intensity of a given sound
I0: </span><span> the threshold of a hearing intensity
</span>Substituting values in the given equation we have:
<span />
<span />Rewriting the equation we have:
<span />
<span />Then, by properties of logarithm we have:
<span />
<span />Finally we have:
<span />
<span />Answer:
T<span />he intensity, in decibles, [I(dB)], when I=10^8(I0) is:
D.80
Answer: The required answers are
(a) T is proved to be a linear transformation.
(b) The matrix A such that T(x) = Ax is
Step-by-step explanation: We are given a linear transformation T : R³ → R² defined as follows :
We are to
(a) prove that T is a linear transformation
and
(b) find a matrix A such that T(x) = Ax.
(a) Let s, t are any real numbers and (a, b, c), (a', b', c') ∈ R³.
Then, we have
So, we get
Therefore, T is a linear transformation.
(b) We know that B = {(1, 0, 0), (0, 1, 0), (0, 0, 1)} is a standard basis for R³ and B' = {(1, 0), (0, 1)} is a standard basis for R².
So, we have
So, the matrix A such that T(x) = Ax will be given by
Thus,
(a) T is proved to be a linear transformation.
(b) The matrix A such that T(x) = Ax is
Answer:
Option B)
Step-by-step explanation:
We are given the following in the question:
Priya uses cups of flour to make 3 loaves of banana bread.
Thus, we can write the ration of bread to amount of flour used as:
Now, b loaves of banana bread using f cups of flour.
This measurement will follow the same ratio.
Thus, we can write:
Thus, the correct answer is
Option B)