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4 years ago

The modulus of (3 - 4i)^4 is _____. 5 20 81 625

Mathematics

1 answer:

Ierofanga [76]4 years ago

5 0

Answer:

625

Step-by-step explanation:

The modulus of 3 - 4i is

$\sqrt{3^2+(-4)^2}$ = $\sqrt{9+16}$ = $\sqrt{25}$ = 5, thus

| $(3-4i)^{4}$ |

= $5^{4}$

= 625

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Permutation:

Kruka [31]

Formula for permutation is:

$\boxed{ \tt^{n} C_{r} = \frac{n!}{r!(n - r)!} }$

<h3>Calculation, </h3>

Plug in the values:

Required number of ways = ²C7

n = 7
r = 5

$\sf \frac{7!}{5!(7 - 5)!}$

$\sf \frac{7 \times 6 \times \cancel{5!}}{ \cancel{5! }\times 2!}$

$\sf \frac{7 \times 6 }{ 2!}$

$\sf \frac{42 }{ 2!}$

$\sf \frac{42 }{ 2} = 21$

Thus, The players can be selected in 21 different ways!!~

3 0

2 years ago

Read 2 more answers

What is the absolute value of abs(9-13)

Tems11 [23]

Absolute value of -4 would be 4

4 0

3 years ago

At cracker barrel there are 15 side items to choose from. You order a variety plate that consists of 5

Nataly_w [17]

Answer:

3003

Step-by-step explanation:

It is going to be 15C5

8 0

3 years ago

Solve the expression 9.50h+60=460

zysi [14]

9.50h+60=460
subtract 60 from both sides
9.50h=400
divide both sides by 9.50
h=42.105263
round to the nearest hundredth
h=42.11

6 0

3 years ago

Read 2 more answers

The data set below shows the number of books checked out from a library during the first two weeks of the month: 99, 29, 30, 42,

Iteru [2.4K]

Answer:

D. There is one outlier, indicating an abnormally large number of books were rented out on that day.

Step-by-step explanation:

We have been given a data set that shows the number of books checked out from a library during the first two weeks of the month.

Our given data set is: 99, 29, 30, 42, 35, 36, 30, 35, 38, 43, 39, 40, 28, 31.

Let us arrange our given data points in ascending order.

28, 29, 30, 30, 31, 35, 35, 36, 38, 39, 40, 42, 43, 99.

We can see from our data set that it has one extreme large value outlier that is 99, which indicates that an abnormally large number of books were rented out on that day.

Therefore, option D is the correct choice.

5 0

3 years ago