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Anton [14]
3 years ago
14

Express 8e^i16pie in rectangular, polar and trignometric form?

Mathematics
1 answer:
Vinvika [58]3 years ago
7 0

Euler's formula immediately gives

8e^{i\cdot16\pi}=8\cos(16\pi)+8i\sin(16\pi)=8

and the equation above lists, from left to right, the polar, trigonometric, and rectangular forms.

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Elena is trying to figure out how many movies she can download to her hard drive. The hard drive is supposed to hold 500 gigabyt
soldi70 [24.7K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Maximum capacity of hard drive = 500 GB

Space used up = 58 GB

Size per movie = 8GB

Number of movies = x

1)

[(Number of movies * size per movie) + used up space] should be less than or equal to the maximum capacity to f the drive.

From Elena's inequality, the total space taken up by movies + used up space is greater than total capacity of hard drive.

That is ;

[(8x + 58 ≤ 500

8x ≤ 500 - 58

8x ≤ 442

x ≤ 442 / 8

x ≤ 55.25

The maximum number of movies Elena can download is 55

8 0
3 years ago
3 − 3k + 7k = 5b<img src="https://tex.z-dn.net/?f=3%20%E2%88%92%203k%20%2B%207k%20%3D%205b" id="TexFormula1" title="3 &minus; 3k
zhenek [66]

Answer:

k=-14

Step-by-step explanation:

5 0
3 years ago
The Hudson family is saving for a
Lera25 [3.4K]

The amount of money that Hudson will need to save each week is $106.25.

<h3>How to calculate the value?</h3>

From the information, they determine that the trip will cost $3,200. Mr. and Mrs. Hudson have already set aside $1,500 for the trip.

Let the amount saved each week be represented as w.

Based on the information given, this will be illustrated as:

1500 + 16w = 3200

Collect like terms

16w = 3200 - 1500

16w = 1700

Divide

w = 1700 / 16

w = 106.25

The amount is $106.25.

Learn more about money on:

brainly.com/question/24373500

#SPJ1

4 0
1 year ago
Unknown to a medical researcher, 6 out of 25 patients have a heart problem that will result in death if they receive the test dr
Fiesta28 [93]

Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that exactly 6 patients will die.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

The values of the parameters for this problem are:

N = 25, k = 6, n = 8.

The probability that exactly 6 patients will die is P(X = 6), hence:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = 6) = h(6,25,8,6) = \frac{C_{6,6}C_{19,2}}{C_{25,8}} = 0.0002

0.0002 = 0.02% probability that exactly 6 patients will die.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

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8 0
2 years ago
How many ounces is 10491 ounces to pounds?
GarryVolchara [31]

Answer:

655 and a half pounds.

You have to divide 10491 by 16 because there is 16 ounces in a pound.

8 0
4 years ago
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