The actions of what nation inspired HoChiMinh to challenge their colonial authority in Vietnam? A) China B) France C) Soviet Uni
2 answers:
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Answer:
There are <u>20,000 milligrams</u> chlorine in the pool.
Step-by-step explanation:
Given:
The chlorine per liter of water in the pool is 2.5 milligrams.
The volume of water in the swimming pool is 8000 gallons.
Now, to find the quantity of chlorine in the pool.
Let the quantity of chlorine be
The gallons of water in the swimming pool = 8000.
The milligrams of chlorine per liter of water in the pool = 2.5.
According to question, the amount of chlorine in the swimming pool is proportional to the volume of water.
So, 2.5 mg of chlorine is equivalent to 1 liter.
Thus, is equivalent to
Now, to get the quantity of chlorine by using cross multiplication method:
<em>By cross multiplying we get:</em>
Therefore, there are 20,000 milligram chlorine in the pool.
The question is incomplete. The complete question is as follows:
Solve for X. Assume X is a 2x2 matrix and I denotes the 2x2 identity matrix. Do not use decimal numbers in your answer. If there are fractions, leave them unevaluated.
· X·
=<em>I</em>.
First, we have to identify the matrix <em>I. </em>As it was said, the matrix is the identiy matrix, which means
<em>I</em> =
So, · X·
=
Isolating the X, we have
X·=
-
Resolving:
X·=
X·=
Now, we have a problem similar to A.X=B. To solve it and because we don't divide matrices, we do X=A⁻¹·B. In this case,
X=⁻¹·
Now, a matrix with index -1 is called Inverse Matrix and is calculated as: A . A⁻¹ = I.
So,
·
=
9a - 3b = 1
7a - 6b = 0
9c - 3d = 0
7c - 6d = 1
Resolving these equations, we have a=; b=
; c=
and d=
. Substituting:
X= ·
Multiplying the matrices, we have
X=