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lutik1710 [3]
2 years ago
5

What is the value of the expression given below? (8-3i)-(8-3i)(8+8i)

Mathematics
2 answers:
enyata [817]2 years ago
6 0

Answer:

-76-43i

Step-by-step explanation:

First expand the multiplied terms

8-3i-(64+64i-24i+24)

8-3i-(64+40i+24)

Simplify

8-3i-64-40i-24

-76-43i

Lapatulllka [165]2 years ago
5 0

Answer:

-80-43i

Step-by-step explanation:

(8-3i)-(8-3i)(8+8i)

To find the value of the expression we need to simplify it

LEts multiply the parenthesis part using FOIL method

(8-3i)-(64+64i-24i-24i^2)

(8-3i)-(64+40i-24i^2)

The value of i^2 is -1

(8-3i)-(64+40i-24(-1))

(8-3i)-(64+40i+24)

(8-3i)-(88+40i)

Now we remove the parenthesis

8-3i-88-40i

combine like terms

-80-43i

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Consider the sequence defined recursively by do = 0, an = an-1 + 3n – 1. a) Write out the first 5 terms of this sequence,
creativ13 [48]

Answer:

The first 5 terms of the sequence is 2,7,15,26,40.

Step-by-step explanation:

Given : Consider the sequence defined recursively by a_0=0 a_n=a_{n-1}+3n-1

To find : Write out the first 5 terms of this sequence ?

Solution :

a_n=a_{n-1}+3n-1 and a_0=0

The first five terms in the sequence is at n=1,2,3,4,5

For n=1,

a_1=a_{1-1}+3(1)-1

a_1=a_{0}+3-1

a_1=0+2

a_1=2

For n=2,

a_2=a_{2-1}+3(2)-1

a_2=a_{1}+6-1

a_2=2+5

a_2=7

For n=3,

a_3=a_{3-1}+3(3)-1

a_3=a_{2}+9-1

a_3=7+8

a_3=15

For n=4,

a_4=a_{4-1}+3(4)-1

a_4=a_{3}+12-1

a_4=15+11

a_4=26

For n=5,

a_5=a_{5-1}+3(5)-1

a_5=a_{4}+15-1

a_5=26+14

a_5=40

The first 5 terms of the sequence is 2,7,15,26,40.

5 0
3 years ago
18 x 13 - 8 + 1,387 - 5,800,732,812 x 65
Mars2501 [29]

Answer:

(18x13)-8+1387-(5,800,732,812x65)= -377047631167

Step-by-step explanation:

3 0
2 years ago
A castle is surrounded by a circular moat which is 5 m wide
Elanso [62]

Answer:

  1414 kL

Step-by-step explanation:

The volume of the donut-shaped moat is the product of its surface area and depth. The area is the product of its centerline length and its width.

<h3>Moat area</h3>

The diameter of the centerline of the moat is (50 m -5 m) = 45 m. The length of that centerline is ...

  C = πd = π(45 m) = 45π m

The area is this length times the width of the moat:

  moat area = (45π m)(5 m) = 225π m²

<h3>Moat volume</h3>

The volume is the product of the area and the depth of the moat:

  V = Ah = (225π m²)(2 m) = 450π m³ ≈ 1413.72 m³

1 cubic meter is 1000 liters, 1 kiloliter.

The volume of the moat is about 1414 kL.

5 0
1 year ago
Join our among us <br><br> Code: KFTJFF
Pavlova-9 [17]
Ok bet I tryyyyy!!!!!
8 0
3 years ago
Read 2 more answers
-4(4v-u-6) solve using distributive property
GarryVolchara [31]

Answer:

Step-by-step explanation:

-4 ( 4v - u - 6 )

You will multiply -4 with everything in the parentheses.

-16v + 4u + 24

4 0
3 years ago
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