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Sunny_sXe [5.5K]
3 years ago
8

3. Consider the complex numbers z and w below. Find the difference z-

Mathematics
1 answer:
Rina8888 [55]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

z - w

= 1 - 3i - (- 2 + 5i) ← distribute parenthesis by - 1

= 1 - 3i + 2 - 5i ← collect like terms

= 3 - 8i

------------------------------------------------------------

z × w

= (1 - 3i)(- 2 + 5i) ← expand using FOIL

= - 2 + 5i + 6i - 15i² [ i² = - 1 ]

= - 2 + 11i + 15

= 13 + 11i

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Una empresa embotelladora de gaseosas lanzará su propia bebida "Delicia" de un litro a un costo variable de S/ 2.50 por unidad,
KIM [24]

Por la ecuación de utilidad, necesitamos una producción de 7,667 botellas de un litro de capacidad para obtener un total de utilidades de S/ 30.000.

<h3>¿Cómo determinar las utilidades por la venta de bebidas gaseosas?</h3>

Las utilidades (U') se obtienen de sustraer los costes de producción (Cp) a las utilidades <em>netas</em> (U). Los costes de producción (Cp) son la suma de costes <em>variables</em> (C') y costes <em>fijos </em>(C). y la utilidades <em>netas</em> proceden de la venta de botellas. En consecuencia, tenemos la siguiente expresión:

U' = U - Cp

U' = U - C' - C

A continuación, desarrollamos y resolvemos la ecuación resultante:

30000 = 4.50 · x - 2.50 · x - 18500

1.50 · x = 11500

x = 7667

Por la ecuación de utilidad, necesitamos una producción de 7,667 botellas de un litro de capacidad para obtener un total de utilidades de S/ 30.000.

Para saber sobre utilidades: brainly.com/question/16933668

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6 0
2 years ago
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6 0
3 years ago
Convert the polar representation of this complex number into its standard form z=4(cos150+isin150).
Katen [24]

Answer:

B

Step-by-step explanation:

Using the exact values

cos150° = - cos30° = - \frac{\sqrt{3} }{2}

sin150° = sin30° = \frac{1}{2}

Given

z = 4(cos150° + isin150° ) , substitute values

  = 4(- \frac{\sqrt{3} }{2} +  \frac{1}{2}i )

  = - 2\sqrt{3} + 2i , that is

(- 2\sqrt{3}, 2 ) → B

7 0
3 years ago
Question 6 (4 points)
riadik2000 [5.3K]

Answer:

Interior Angles: 3, 4, 5, 6

Exterior Angles 1, 2, 7, 8

Hope this helps!

3 0
2 years ago
PLEASE HELPP!! WILL GIVE BRAINLIEST + 25 POINTS!!
enyata [817]

Answer:

x = -9/4

Step-by-step explanation:

−2(x + 1/4) + 1 = 5 ​

Subtract 2 from both sides.

−2(x + 1/4) = 4 ​

Divide both sides by -2.

x + 1/4 = -2

Subtract 1/4 from both sides.

x = -2 1/4

x = -9/4

4 0
3 years ago
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