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2 years ago

Write (-2 − 2i) + (10 − 4i) as a complex number in standard form.

Mathematics

1 answer:

romanna [79]2 years ago

7 0

Answer:

8-6i

Step-by-step explanation:

complex number in standard form will be in the form of a+bi

(-2 − 2i) + (10 − 4i) , open parenthesis

-2- 2i +10 -4i, group like terms

-2+10 -2i -4i, combine like terms

8 - 6i

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. Use the statistical features of your calculator to find the mean and the standard deviation to the nearest tenth of a data set

uysha [10]

Answer:

Mean = 1.9

Standard deviation = 0.6

Step-by-step explanation:

The Mean is calculate by the formula:

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

⇒ $Mean = \frac{24.9+24.7+24.7+23.4+27.9}{5} = 1.85$

Thus Mean to the nearest tenth is 1.9

Standard Deviation is the square root of sum of square of the distance of observation from the mean.

$Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }$

where, $\bar{x}$ is mean of the distribution.

Putting all values in the formula, We get

Standard Deviation = 0.597 ≈ 0.6

6 0

3 years ago

Solve the formula for calculating the perimeter of a parallelogram with sides

Marina CMI [18]

The formula for calculating the perimeter of the parallelogram is p/2-b=c.

The formula for calculating the perimeter of a parallelogram with sides b and c, for c.

<h3>What is the perimeter of the parallelogram?</h3>

The perimeter of a parallelogram is the total distance enclosed by its boundary. Since the parallelogram is a type of quadrilateral, thus it has four sides.

Substracting 2b on both side

p = 2b+2c

-2b -2b

p -2b =2c

divide both sides by 2

p/2 -b =c

Therefore we get the formula for calculating the perimeter of the parallelogram is p/2-b=c.

To learn more parallelogram visit:

brainly.com/question/970600

#SPJ1

6 0

2 years ago

4 1/2 + 1 + 2 + 1 1/4 + 1/2 + 2/4 how did you get the answer

Anestetic [448]

Your answer is 9 3/4.

6 0

3 years ago

Read 2 more answers

Plz show work and solve quick please need help!!!!!

Simora [160]

Surface area is just the area of all these 4 triangles plus the rectangle.

First we can find the area of the rectangle.

$\sf A=lw$

Half of the length is 28 cm, so the full length must be 28 * 2 = 56 cm.

$\sf A=(56)(27)$

$\sf A=1512cm^2$

The base for the left and right triangles are 27. The heights would be the net length minus half the length of the rectangle:

$\sf 82.8-28=54.8\? cm$

Calculate the area:

$\sf A=\dfrac{1}{2}bh$

$\sf A=\dfrac{1}{2}(27)(54.8)$

$\sf A=739.8\?cm^2$

We have two of these triangles.

$\sf 739.8\times 2=1479.6\? cm^2$

Now do the other two pair of triangles. The bases for them are 28 + 28 = 56 cm. The heights would be the net width minus the width of the rectangle:

$\sf 81.2-27=54.2\?cm$

Now find the area:

$\sf A=\dfrac{1}{2}bh$

$\sf A=\dfrac{1}{2}(56)(54.2)$

$\sf A=1517.6\? cm^2$

We have two of these triangles.

$\sf 1517.6\times 2=3035.2\?cm^2$

Add all the areas together:

$\sf 1512+1479.6+3035.2=\boxed{\sf 6026.80\? cm^2}$

7 0

3 years ago

Find the equation of the line, in point-slope form then slope-intercept form, that

AleksandrR [38]

Answer:

Point slope: y+4=4(x-3)

Slope-intercept: y=4x-16

Step-by-step explanation:

1. Use the slope formula to find the slope.

y2-y1/x2-x1

8--4/6-3 = 12/3

Slope is 4

2. Use the slope and one of the coordinates to put the equation in point-slope form.

Point slope form: y-y1=m(x-x1)

y+4=4(x-3)

3. Distribute and simplify to put it in slope-intercept form.

y+4=4x-12

y=4x-16

8 0

3 years ago