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3 years ago

Simplify the expression to a + bi form: (9+7i)(6 + i)

Mathematics

2 answers:

abruzzese [7]3 years ago

7 0

Answer:

47+51i

Step-by-step explanation:

(9+7i)(6+i)

54+42i+9i+7i^2 where i^2=-1

54+42i+9i+7(-1)

54+51i-7

54-7+51i

47+51i

Please mark me as Brainliest if you are satisfied with the answer.

Scorpion4ik [409]3 years ago

6 0

$(9 + 7i)(6 + i) \\ = 54 + 9i + 42i + 7 {i}^{2} \\ = 54 + 51i - 7 \\ = 47 + 51i$

I hope I helped you^_^

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A polyhedron with two parallel congruent faces called bases connected by parallelogram faces is called a...

lisov135 [29]

Answer:

right prism

Step-by-step explanation:

If the faces are rectangles, then this prism is called a "right prism"

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3 years ago

16.4.57 Question Help A box contains eighteen $1 bills, ten $5 bills, eight $10 bills, three $20 bills, and one $100 bill You bl

Rudiy27

Answer:

$ 7.7

Step-by-step explanation:

Given,

There are 18 $1 bills, ten $5 bills, eight $10 bills, three $20 bills, and one $100 bill,

Total number of bills = 18 + 10 + 8 + 3 + 1 = 40,

$\because \text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}$

Thus,

The probability of $ 1 = $\frac{18}{40}$

The probability of $ 5 = $\frac{10}{40}$

The probability of $ 10 = $\frac{8}{40}$

The probability of $ 20 = $\frac{3}{40}$

The probability of $ 100 = $\frac{1}{40}$

If a bill is selected randomly,

The expected value of the bill

$=\frac{18}{40}\times 1+\frac{10}{40}\times 5+\frac{8}{40}\times 10+\frac{3}{40}\times 20+\frac{1}{40}\times 100$

$=\frac{18+50+80+60+100}{40}$

$=\frac{308}{40}$

= $ 7.7

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2 years ago

What is 15/8 equal to?

yKpoI14uk [10]

Answer:

1.875

Step-by-step explanation:

i hope this helps, have a good day!

6 0

2 years ago

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14. The cost of 10 dozen of caps is Rs.800. How many caps can bebought for Rs.200.

Mashcka [7]

Answer:

Step-by-step explanation:

10 dozen is equal to 120 so ratio is 800/120 or 80/12

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3 years ago

Select all answers that have a value of 22?? Help..

Tom [10]

Let's plug in the variables one by one.

6g - 2h

plug in 5 for g and 4 for h

6(5) - 2(4)

multiply

30 - 8

subtract

→ 22

20g

plug in 2 for g

20(2)

multiply

2(g + 1)

plug in 10 for g

2(10 + 1)

add

2(11)

multiply

→ 22

4g + 5h

plug in 1 for g and 4 for h

4(1) + 5(4)

multiply

4 + 20

add

Therefore, the answers that have a value of 22 are 6g - 2h and 2(g + 1)

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3 years ago

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