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4 years ago

How do I solve this complex expression- (5+2i)+(6i^2-3i+2)

Mathematics

1 answer:

Anettt [7]4 years ago

6 0

Answer:

1-i

Step-by-step explanation:

Hello,

you know that $i^2=-1$ , right?

$(5+2i)+(6i^2-3i+2)\\\\=5+2i-6-3i+2\\ \\=1-i$

Thanks

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Question 1-3........

Xelga [282]

1. Answer:

C. 1050

Step-by-step explanation:

To find the area of a rectangle, it is length * width * height

25 * 7 = 175

175 * 6 = 1050

2. Answer:

C. 8

Step-by-step explanation:

To find the missing dimension of a rectangle, you can easily just divide the total by each dimension

540 divided by 7.5 = 72

72 divided by 9 = 8

3. Answer:

D. 31,400

(31,415.9)

Step-by-step explanation:

The radius of the cylinder is 20

The height of the cylinder 25

πr2h is the formula used to find the volume of a cylinder

3 0

3 years ago

Thomas bought his whole family hot dogs and popcorn at the baseball game. He bought 60 items. He bought 3 hot dogs and and 8 pop

irina [24]

Answer:you mean $60 worth of items?

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Write a linear equation that represents the cost of buying T-shirts from Paula’s Printing. Identify the meaning of each variable

vivado [14]

Answer:

$y=21.50x$

Step-by-step explanation:

Let

x ----> the number of t-shirts

y ----> the cost of buying T-shirts from Paula’s Printing in dollars

take two points from the given data

we have

(2,43) and (4,86)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values in the formula

$m=\frac{86-43}{4-2}$

$m=\frac{43}{2}=\$21.50\ per\ t-shirt$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=21.50$

$(x1,y1)=(2,43)$

substitute

$y-43=21.50(x-2)$

step 3

Convert to slope intercept form

$y=mx+b$

Isolate the variable y

$y-43=21.50x-43$

$y=21.50x-43+43$

$y=21.50x$

This linear equation represent a proportional relationship (the line passes through the origin)

3 0

4 years ago

Which is the constant of proportionality for the data in the table?

Lisa [10]

Answer:

C) 6

Step-by-step explanation:

From the given data we can find the constant of proportionality by dividing The number of people by number of cars.

Constant of proportionality = $\frac{\textrm{Number of people}}{\textrm{Number of cars}}$

Taking any point from the table will give the same constant of proportionality as they are proportional quantities.

Constant of proportionality = $\frac{18}{3}=\frac{30}{5}=\frac{36}{6}=\frac{48}{8}=6$

This can be written as 6 people per car.

For 10 cars, number of people will be = $10\times 6$ =60 people.

5 0

3 years ago

The half-life of aspirin is about 3 hours. If someone takes 700mg, how long will it take until less than 50mg is left in that pe

uranmaximum [27]

In 3 hours half of 700 would be 700/2=350

in 3 more hours, so 6 total, the half life would be 350/2 = 175

in 3 more hours, 9 total, the half life would be 175/2 = 87.5

in 3 more hours, 12 total, the live life would be 87.5 / 2 = 43.75

so it would be 12 hours to have less than 50 mg

5 0

3 years ago