All categories

3 years ago

HELP!! Which expression is the cube root of -1+i

tle=" \sqrt{3} " alt=" \sqrt{3} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

maria [59]3 years ago

6 0

$z^3=-1+i\sqrt3=2e^{i2\pi/3}$

$\implies z=\left(2e^{i2\pi/3}\right)^{1/3}=\begin{cases}2^{1/3}e^{i2\pi/9}\\2^{1/3}e^{i8pi/9}\\2^{1/3}e^{i14\pi/9}\end{cases}$

You might be interested in

.......................

Anna [14]

Answer:

Mean: 49

Median: 48

Step-by-step explanation:

The mean is the total of all the values by adding them all together, then divided by the number of values.

The median is the middle number in the order of lowest to highest.

5 0

4 years ago

Read 2 more answers

A rectangular patio is 9 ft by 6 ft. When the length amd width are increased by the same amount, the area becomes 88 sq ft. Ging

SpyIntel [72]

( 6 + x)(9 + x) =88

54 + 15x + x^2 = 88

x^2 + 15x - 34 = 0

(x + 17)(x - 2) = 0
using zero product property:-
x + 17 = 0 or x - 2 = 0 giving:-

x = -17 , x = 2

x is the amount that the length and width are increased by.

x = -17 is negative and doesn't make sense in this context and can be ignored; so the amount of increase is 2 feet.

8 0

4 years ago

A shopper paid $2.52 for 4.5 pounds of potatoes, $7.75 for 2.5 pounds of broccoli, and $2.45 for 2.5 pounds of pears. what is th

kobusy [5.1K]

Answer:

a) UNIT PRICE of potatoes is $0.56

b) UNIT PRICE of broccoli is $3.1

c) UNIT PRICE of broccoli is $0.98

Step-by-step explanation:

UNIT PRICE is defined as the price of 1 unit.

$\textrm{Unit Price} = \frac{\textrm{Total cost on n products}}{\textrm{n}}$

Now, here in the given question:

1. Cost of 4.5 pounds of potatoes is $2.52

So, the unit price of potatoes $= \frac{\textrm{2.52}}{\textrm{4.5}} = 0.56$

⇒ 1 pound of potatoes cost $0.56

Hence,UNIT PRICE of potatoes is $0.56

2 Cost of 2.5 pounds of broccoli is $7.75.

So, the cost of 1 pound of broccoli $= \frac{\textrm{7.75}}{\textrm{2.5}} = 3.1$

⇒ 1 pound of broccoli cost $3.1

Hence,UNIT PRICE of broccoli is $3.1

3. Cost of 2.5 pounds of pears is $2.45.

So, the cost of 1 pound of pears $= \frac{\textrm{2.45}}{\textrm{2.5}} = 0.98$

⇒ 1 pound of pears cost $0.98

Hence,UNIT PRICE of broccoli is $0.98

5 0

3 years ago

Read 2 more answers

Kate is making pizza. She puts 8 ounces of cheese on each pizza. If she has 4 24-ounce packages of cheese, how many pizzas can s

juin [17]

She can make 12 pizzas because 24 divided by 8 is 3. And if u multiply 3 by the number of packages (4) you will get 12

4 0

3 years ago

Choose the value for x that solves this equation. 0 = -2x + 6

lana66690 [7]

Answer:

x = 3

Step-by-step explanation:

Hi there !

0 = - 2x + 6

2x = 6

x = 6 : 2

x = 3

Good luck !

7 0

3 years ago