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tatuchka [14]
3 years ago
15

Simplify (-3+5i)(3+5i)

Mathematics
2 answers:
Zepler [3.9K]3 years ago
8 0

Answer:

Step-by-step explanation:

First, factor all the multiplication.

(-3*3)+(-3*5i)+(5i*3)+(5i*5i)

Second, multiply.

(-9)+(-15i)+(15i)+(25i^{2})

Third, add and solve.

i squared is -1.

-9+(-15i+15i)+(25*-1)

Fourth, subtract.

-9-25

And, you are done!

(-3+5i)(3+5i) = -34

timama [110]3 years ago
4 0

Answer:-34

Step-by-step explanation: good luck

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1 quart is about equal to 0.95 liters.Convert. Write your answer as a decimal.7 quarts is about equal to ? liters.
leonid [27]
1 quart = 0.95 litres
7 quarts = 6.65 litres

To get from 1 quart to 7 quarts you times by 7, and if one quart is 0.95 litres, to find out what 7 quarts is equal to in litres you have to times 0.95 by 7.
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Answer:

7

Step-by-step explanation:

47 + 70 + 9p = 180

117 + 9p = 180

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9p = 63

Divide both sides by 9

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Bob’s monthly phone bill is made up of a $10 fee plus $0.05 per minute. Bob’s phone bill for July was $22. Write an equation to
Blizzard [7]

Answer:

equation: 10 + 0.05x=22

Step-by-step explanation:

the next step after writing the equation would be to subtract 10 from both sides to get 0.05x=12. after this you would then have to divide 12 by 0.05 to get 240 minutes. you could check it by putting 240 in for x to get 10+0.05(240)=22. you would then multiply 0.05 by 240 to get 12 and then add 10 onto it to get 22 which was already given.

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on the last 5 quizzes, marco has earned a total of 21 out of 25 possible points. if he has a perfect score on the next several q
nevsk [136]

Using the mean concept, it is found that we will need 15 more points to bring up his average up to 90%.

The mean of a data-set is the <u>sum of all observations divided by the number of observations</u>.

In this problem:

  • In the first 5 observations, total of 21 out of 25 points, hence the mean for these observations is \frac{21}{25} = 0.84.
  • In the next n observations, mean of 1.

Hence, the mean is:

M = \frac{0.84(5) + n}{5 + n} = \frac{4.2 + n}{5 + n}

We want the mean to be of 0.9, thus:

M = 0.9

\frac{4.2 + n}{5 + n} = 0.9

4.2 + n = 0.9n + 4.5

0.1n = 0.3

n = \frac{0.3}{0.1}

n = 3

3 more testes are need, each worth 5 points, hence, 15 more points are needed to bring up his average up to 90%.

A similar problem is given at brainly.com/question/25323941

6 0
3 years ago
On a particular day, 112 of 280 passengers on a particular DTW-LAX flight used the e-ticket check-in kiosk to obtain boarding pa
Sonja [21]

Answer:

0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

Step-by-step explanation:

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

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

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

In this question:

Population of 280, which means that N = 280

112 use e-ticket check-in kiosk, which means that k = 112

Sample of eight passengers means that n = 8

Find the approximate hypergeometric probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

This is P(X = 4). So

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

P(X = 4) = h(4,280,8,112) = \frac{C_{112,4}*C_{168,4}}{C_{280,4}} = 0.2348

0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

3 0
3 years ago
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