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azamat
3 years ago
10

The modulus of (3 + 4i)4 is _____. 5 20 125 625

Mathematics
1 answer:
vladimir1956 [14]3 years ago
6 0
(3+4i)*4 = 3*4+4i*4 = 12+16i

The complex number 12+16i is in the form a+bi where a = 12 and b = 16

m = modulus
m = distance from (0,0) to (a,b)
m = sqrt(a^2+b^2)
m = sqrt(12^2+16^2)
m = sqrt(144+256)
m = sqrt(400)
m = 20

Answer: 20
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Answer:

Step-by-step explanation:

Mindy has a piece of string that is 5 1/2yd long. She cuts it into pieces that are each 1/2 yd long. Solve the equation 5 1/2 = 1/2x to find out how many pieces of string, x, she gets. Show your work

6 0
2 years ago
Suppose that the proportions of blood phenotypes in a particular population are as follows: A B AB O 0.48 0.13 0.03 0.36 Assumin
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Answer:

P(O and O) =0.1296

P=0.3778

Step-by-step explanation:

Given that

blood phenotypes in a particular population

A=0.48

B=0.13

AB=0.03

O=0.36

As we know that when A and B both are independent that

P(A and B)= P(A) X P(B)

The probability that both phenotypes O are in independent:

P(O and O)= P(O) X P(O)

P(O and O)= 0.36 X 0.36 =0.1296

P(O and O) =0.1296

The probability that the phenotypes of two randomly selected individuals match:

Here  four case are possible

So

P=P(A and A)+P(B and B)+P(AB and AB)+P(O and O)

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7 0
3 years ago
Does anyone know part B to this?!?!? I will give brainilest
fomenos

Answer:

(0,7)

Step-by-step explanation:

5 0
3 years ago
Factor please <br> x^2+8x+15
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Answer:

(x + 3)(x + 5)

Step-by-step explanation:

The given expression is x^2 +8x + 15

Now find the factor of 15 such that when you add the factors, we have to get 8

The right factors of 15.

5 * 3 = 15

5 + 3 = 8

The right factors are 3 and 5.

x^2 + 8x + 15 = (x + 3)(x + 5)

Therefore, x^2 + 8x + 15 = (x + 3)(x + 5)

Thank you.

6 0
3 years ago
Iluguru sold an artick to bol to gain 20% Thereafteru
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Answer: £5

Step-by-step explanation:

Bole sold the article for 125% while he bought it for 100%.

Bole sold for £7.50 so £7.50=125%

£7.50/1.25=£6

125%/1.25=100%

£6=100% (the cost Bole bought the article with from Iluguru)

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To find 100% we divide by 1.2

£6/1.2=£5

Iluguru bought article for £5 originally

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