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4 years ago

Please simplify 9/3-2i.

Mathematics

2 answers:

umka2103 [35]4 years ago

7 0

3-2i is as far as you can simplify

Mamont248 [21]4 years ago

3 0

I = sqrt -1

Multiply by 3+2i/3+2i

combine: 9(3+2i)/(3−2i)(3+2i)

foil: 9(3+2i)/3⋅3+3(2i)−2i⋅3−2i(2i)

simplify: 9(3+2i)/9−4i^2
 9(3+2i)/9+4
9(3+2i)/13
 27+18i/13
Divide each term in the numerator by the denominator.

27/13+18i/13 = answer

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What is the solution set of the equation

Dafna11 [192]

Answer:

[C] -1

Explanation:

3 - 2x = 5

Subtract 3 from both sides

3 - 2x - 3 = 5 - 3

Simplify

-2x = 2

Divide both sides by -2

-2x / -2 = 2 / -2

x = -1

4 0

4 years ago

Can someone please answer. There is a picture. There is only one problem. Thank you so much!!!

pashok25 [27]

Hello,

Answer C
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4 0

3 years ago

Please answer the following:

konstantin123 [22]

Answer:

26 1/2

Step-by-step explanation:

convert 4 5/12 into 53/12

multiply 53/12 by 6 to get 53/2

turn 53/2 into a mixed number = 26 1/2

3 0

3 years ago

Read 2 more answers

Please solve for a, b, and c

rusak2 [61]

The table is:
Number of washes denoted by x: 0, 8, 12
Amount left on card denoted by y: 30, 18, 12

a.       Write an equation that shows the amount of dollars left on the card
Solution:
18 – 30 divided by 8 – 0 = -12/8
On simplest form is -3/2

The equation is y = -3/2x + 30

b.      Explain the meaning of the negative slope above.
As the number of car washes increase, the dollars left on the card decreases.

c.       What is the maximum value of x?
0 = -3/2x + 30
2/3 x 3/2 x = 30/1 x 2/3
Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2
x = 20

Read more on Brainly.com - brainly.com/question/7171213#readmore

3 0

3 years ago

How much does a sleeping bag cost? Let's say you want a sleeping bag that should keep you warm in temperatures from 20°F to 45°F

BARSIC [14]

Answer:

a) Sample Mean = 79.4

Sample standard deviation = 30.62

b) 90% Confidence interval: (67.56 ,91.24)

Step-by-step explanation:

We are given the following in the question:

Prices for sleeping bags has an approximately normal distribution.

We are given the following sample:

35, 85, 105, 40, 100, 50, 30, 23, 100, 110, 105, 95, 105, 60, 110, 120, 95, 90, 60, 70

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1588}{20} = 79.4$

Sum of squares of differences = 1971.36 + 31.36 + 655.36 + 1552.36 + 424.36 + 864.36 + 2440.36 + 3180.96 + 424.36 + 936.36 + 655.36 + 243.36 + 655.36 + 376.36 + 936.36 + 1648.36 + 243.36 + 112.36 + 376.36 + 88.36 = 17816.8

$S.D = \sqrt{\displaystyle\frac{17816.8}{19}} = 30.62$

b) 90% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 19 and}~\alpha_{0.10} = \pm 1.7291$

$79.4 \pm 1.73(\displaystyle\frac{ 30.62}{\sqrt{20}} ) = 79.4 \pm 11.84 = (67.56 ,91.24)$

8 0

3 years ago