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Andru [333]
1 year ago
6

Which of the following matrices is equal to 6 [-5 3 0 -4]?

Mathematics
1 answer:
Ahat [919]1 year ago
7 0

6 [-5 3 0 -4] equal matrix is [-30 18 0 -24]

a collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

<h3>How do you identify a matrix?</h3>

A rectangular matrix is a grouping of numbers into rows and columns. The number of rows and columns of a matrix, in that order, is indicated by the matrix's dimensions. It is known as a 2 3 2 times 3 2 times 3 matrix because matrix A has 2 rows and 3 columns.

The entries or elements of the matrix are its numbers, symbols, or phrases. In a matrix, the terms "rows" and "columns" refer to the horizontal and vertical rows of entries, respectively.

The inventor of matrices is Arthur Cayley. In his Memoir on the Theory of Matrices, which was published in, he gave the theoretical definition of the matrix.

To learn more about matrix refer to:

brainly.com/question/2456804

#SPJ1

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Alona [7]
T = 227 ° C + 273 = 500 K
V = R n T/p = (0.08205 l atm/mol K * 0.8 mol* 500 K) / 5.3 atm = 6.19 lit
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8 0
3 years ago
Read 2 more answers
A ball bearing has mass 0.44 pounds. 1 kg = 2.2 pounds. <br>​
torisob [31]

Answer:

  (i) 0.2 kg

  (ii) kg/cm³

  (b) 2.29 kg

Step-by-step explanation:

This problem gives you relations between units, and the formulas for density and mass. It is asking you to make use of these relations in various mass and density calculations.

<h3>(a)(i)</h3>

The relationship between kg and pounds can be used to write a units conversion multiplier. It will have numerator equal to denominator, but will have units such that multiplying by it will give the units you want.

  0.44 pounds × multiplier = __ kg

  0.44 pounds × (1 kg)/(2.2 pounds) = (0.44/2.2)(1 kg)

  0.44 pounds = 0.2 kg

__

<h3>(a)(ii)</h3>

The formula can be used to find the units of interest:

  Density = mass/volume

  units of density = (units of mass)/(units of volume)

  units of density = kg/cm³

__

<h3>(b)</h3>

Using the given formula with the given value of L, we find the volume to be ...

  V = 4(1.40 cm)(3 -1.40 cm)² = 14.336 cm³

Then the mass is ...

  mass = volume × density

  mass = (14.336 cm³)×(0.160 kg)/(1 cm³) = 2.29376 kg

The mass is about 2.29 kg.

_____

<em>Additional comment</em>

Often you will see density in terms of kg/m³ or g/cm³. Water has a density of about 1 g/cm³ or 1000 kg/m³. The most dense non-radioactive element in the periodic table is osmium, with a density of about 22.6 g/cm³, or 0.0226 kg/cm³. The material in part (b) of this problem has a density about 7 times that, so is clearly not from Earth.

7 0
2 years ago
A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma
Gnoma [55]

Answer:

The  value  is  C \approx \$76

Step-by-step explanation:

From the question we are told that

   The  area of the rectangular pen is  A =  24 \ yard^2

     The  cost of material used to make one side is  z = \$ 6

    The  cost of material used to make the other sides is  r  =  \$ 3

Now  , the fence to be build around the rectangular pen  has four sides, the first opposite sides are equal, let assume each of the to be x yard   and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

       C =  zx  +  r (x + 2y )

=>   C =  6x  +  3(x + 2y)

=>   C =   9x  +  6y

Now the area of the fence is mathematically represented as

      A =  x* y =  24

=>    y  =  \frac{24}{x}

=>  C =   9x  +  6[\frac{24}{x} ]

=>   C =   9x  +  [\frac{144}{x} ]

Now differentiating

     C'  =  9 + 144*  (-2) x^{-2}

     C'  =  9 - 288x^{-2}

At minimum C' =  0

So  

     9 - 288x^{-2} =  0

     x^{-2} =  0.03125

    x =  \sqrt{\frac{1}{0.03125} }

    x =  5.66

Now substituting for x in the equation above to obtain minimum cost

       C =   9(5.66)  +  [\frac{144}{5.66} ]

       C \approx \$76

   

 

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