- Which of the following statements describes the solution to the product in the previous question? Select (2 points)
all that apply.
The answer is not a complex number because complex numbers are not closed under multiplication.
The answer is a complex number because complex numbers are closed under multiplication.
The answer is not a complex number because it cannot be written in the form a +bi.
The answer is a complex number because it can be written in the form a + bi.

- Which Of The Following Statements Describes The Solution To The Product In The Previous Question? Select

Answers

Answer 1

Answer: B and D

Step-by-step explanation:

Answer 2

Answer:

A number that can be expressed in the form of [tex]\[(a+bi)\][/tex] is called the complex number , where [tex]\[a,b\][/tex] are real numbers and [tex]\[i\][/tex] is imaginary numbers.

Step-by-step explanation:

• Given problem [tex]\[(-2+i)(3-6t)\][/tex] we have to find that the given number is complex or not . In order to do so we have to expressed the number in form of [tex]\[(a+bi)\][/tex] .

• If we got this form then number is complex number otherwise it is real number.

       [tex]& (-2+i)(3-6t) \\ & -6+3i+12t-6ti \\ & (-6+12t)+i(3-6t) \\[/tex]

• We got the [tex]\[(a+bi)\][/tex] form .Therefore number is complex number.

• Hence option four is correct.

Click here to know more about about complex numbers.

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Related Questions

Find the area and perimeter.

Answers

Answer:

Step-by-step explanation:

Perimeter of triangle =  4x - 3 + x + 9 + 8

                                   = 4x + x - 3 + 9 + 8

                                  = 5x + 14

Area  = [tex]\frac{1}{2}*base *height[/tex]

         [tex]= \dfrac{1}{2}*8*3x\\\\= 4 * 3x\\\\= 12x[/tex]

The temperature outside is dropping at a rate of 1.5 degrees each hour . It last is raining and the weather station predicts a changeover from rain to sleet when the temperature reaches 32*F or below . Currently the temperature is 53*F and the time is 8:30am when do you predict the changeover to sleet will occur?

Please help me

Answers

The changeover to sleet will happen at 10:30pm

The changeover to sleet is predicted to occur at 10:30 pm.

Given,

The temperature outside is dropping at a rate of 1.5 degrees each hour.

The changeover from rain to sleet is when the temperature reaches 32*F or below.

Currently, the temperature is 53*F and the time is 8:30 am.

We need to find at what time can we predict the changeover to sleet will occur.

What is temperature?

Temperature is the measure of the hotness or coldness of an object with reference to some standard value.

We have,

Current temperature = 53*F at 8:30 am.

Rate of the drop of temperature = 1.5 degrees per hour.

Find the number of hours needed to drop from 53*F to 32*F.

53*F - 32*F = 21*F

We need to find how many hours required to drop to 21*F

1 hour = 1.5 degrees

Multiplying 21/1.5 on both sides.

21/1.5 x 1 hour = 21/1.5 x 1.5 degrees.

14 hours = 21 degrees

The number of hours required to drop from 53*F  to 32*F is 14 hours.

8:30 am + 14 hours = 10:30 pm

Thus the changeover to sleet is predicted to occur at 10:30 pm.

Learn more about differences in temperature here:

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Find the distance between the given points: (2, -2) and (-4, 7)

Answers

Answer:

[tex]3\sqrt{13}[/tex]

Step-by-step explanation:

Hi there!

We want to find the distance between the points (2, -2) and (-4, 7).

To do that, we can use the distance formula.

The distance formula is given as [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything needed to find the distance, but let's label the values of the points to avoid any confusion

[tex]x_1=2\\y_1=-2\\x_2=-4\\y_2=7[/tex]

Now substitute those values into the formula and solve

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\sqrt{(-4-2)^2+(7--2)^2}[/tex]

Simplify

[tex]\sqrt{(-4-2)^2+(7+2)^2}[/tex]

[tex]\sqrt{(-6)^2+(9)^2}[/tex]

Square the numbers under the radical

[tex]\sqrt{36+81}[/tex]

Add the numbers under the radical together

[tex]\sqrt{117}[/tex]

Simplify the square root

[tex]3\sqrt{13}[/tex]

Hope this helps!



Write an expression that represents the change
in temperature for Day 1. Show how you can use
properties of operations to find the value of the
expression.

Answers

The expression that represents the change in temperature for Day 1 is 23oF - (-8oF) and the value is 31oF

How to determine the expression that represents the change in temperature for Day 1?

The given parameters from the question are:

Initial Temperature = -8oF

Final Temperature = 23oF

The expression that represents the change in temperature for Day 1 is represented as:

Change in temperature = Final Temperature - Initial Temperature

Substitute the known values in the above equation

Change in temperature = 23oF - (-8oF)

Remove the brackets

Change in temperature = 23oF + 8oF

Evaluate the sum

Change in temperature = 31oF

Hence, the expression that represents the change in temperature for Day 1 is 23oF - (-8oF) and the value is 31oF

Read more about difference at:

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Complete question

At midnight, the temperature was -8oF. At noon, the temperature was 23oF.

Write an expression that represents the change in temperature for Day 1. Show how you can use properties of operations to find the value of the expression.

Amanda's earnings vary directly with the number of hours she works. Suppose that she worked 9 hours yesterday and earned 117. how much will she earn today if she works seven hours

Answers

Answer:

91

Step-by-step explanation:

117/9 is 13 which means she earns 13 for each hour and for 7 hours it will be 13 multiply by 7 and that gives 91

32 can go into 96 how many times

Answers

Answer:

3 times osndneif8dhwlcodk

Answer:

3 times

Step-by-step explanation:

96/32=3

32+32=64+32=96

Please help! I need to get this done.

Answers

Answer:

m = d/7 - n/7

Step-by-step explanation:

d = n + 7m

As m is being multiplied by 7, we divided all of the other terms by 7.

Therefore, the answer is m = d/7 - n/7

Do answer 20 and 24. URGENT!!!

Answers

Answer:

See the image for solution.

Brainlist please!!

Simplify:
(-2x^3y^2)^5

Answers

Answer:

power rules attached

Step-by-step explanation:

(-2x³y²)⁵ = (-2)⁵.(x³)⁵.(y²)⁵

= -32x¹⁵ .y¹⁰

Help me solve this equation and explain how you got the answer! I’ll give you brainliest

Answers

The answer to ur question is a

Evaluate c - 2 when c = 7.

Answers

C-2 is 5 while c=7


I hope it helps you :).

i might be here all night considering how terrible i am at algebra but here's another problem i'm stuck on i guess. 8g + 10 = 35 + 3g

Answers

8g + 10 = 35 + 3g
8g + 10 - 3g = 35
5g + 10 = 35
5g + 10 - 10 = 35 - 10
5g = 25
5g/5 = 25/5
g = 5
G= 5 is the answer also btw just to let u know, u can type these in photo….. math


One more than the quotient of a number x and 4.

Answers

Answer:

x/4 + 1

Step-by-step explanation:

Answer:

(x/4) + 1

Step-by-step explanation:

i have school in 2 hours and i really need help

Answers

Answer:

[tex] \sqrt[3]{8 + 6} = \sqrt[3]{14} \\ = 2.41[/tex]

I hope I helped you^_^

BRAINLIEST!! PLZ HELP
Given f (x) = x2 – 4 and g(x) = x + 3 then g (f (2)) =

Answers

Answer:

g (f(2)) = 3

Step-by-step explanation:

f (x) = x2 – 4

g(x) = x + 3

g (f (2)) =?

Find f(2) first

f (x) = x2 – 4

f (2) = 2^2- 4

= 0

Now put this in your g(x)

g(x) = x + 3

g (f(2)) = (f(2)) + 3

And u alredy know f(2) =0, so just put it in

g (f(2)) = 0 + 3

=3

Hannah but 3.4 pounds of apples she paid $.89 per pound how much did Hana pay for apples

Answers

Answer:

3.026 $

Step-by-step explanation:

3.4 × 0.89 = 3.026 $

2. Represent √7 on a number line.

Answers

It would be between 2 and 3 on the number line

( x - 2) ( x + 2 ) ( x bình + 4 )- ( x bình - 3 ) ( x bình + 3 )

Answers

Answer:

( x - 2) ( x + 2 ) ( x² + 4 ) - ( x² - 3 ) ( x² + 3 )

(x² – 4) (x²+4) – ( x⁴ – 9 )

(x⁴ – 16 ) – ( x⁴ – 9)

(x⁴ – 16 ) + ( – x⁴ + 9) = – 7

I hope I helped you^_^

BRAINLIEST

Plan A:
40 + 0.45 a minute (m)

Plan B:
70 + 0.35 a minute (m)

Suppose a friend asks you which of the two plans is less expensive. How would you respond? (Answer specificly please)

Answers

Answer: I think Plan A is the cheapest

Step-by-step explanation:

I would say this because all it is is a 10 cent incline and 30 dollars cheaper, meaning it would take almost 15 weeks to earn 30 dollars on the plan a, while plan b will already be at like 100 Dollars.

I am sorry if I didn't completely answer your question but I did the best to my ability

Thanks!

19 + 1.5(10m – 8) = 127

Answers

[tex]19+1,5(10m-8)=127\\\\19+15m-12=127\\\\15m+7=127 \ \ /-7\\\\15m=120 \ \ /:15\\\\\huge\boxed{m=8}[/tex]

Answer:

[tex]m=8[/tex]

Step-by-step explanation:

[tex]19 + 1.5(10m-8) = 127[/tex]

Multiply both sides by 10

[tex]190+15(10m-8)=1270[/tex]

Subtract 190 from both sides

[tex]15(10m-8)=1080[/tex]

Divide both sides by 15

[tex]10m-8=72[/tex]

Add 8 to both sides

[tex]10m=80[/tex]

Simplify

[tex]m=8[/tex]

Values that represent a linear function are shown in the table below.
x y
−5 −8
−7 −16
−9 −24
−11 −32
−13 −40
What is the slope of this linear function?
A
4

B
14

C
−18

D
−8

Answers

Answer:

A.4

explanation:

you can find the slope using this formula

m=(y2-y1)/(x2-x1)

(-16--8)/(-7--5)= 4

Create an equivalent expression using the drop downs below 4(32 – 4).

Answers

Answer:

7x

Step-by-step explanation:

It equals 28 just like the problem with parentheses, 7x .

Why is it important for the government to know the population growth rate in the country ​

Answers

Answer:

Governments, need to know how many inhabitants currently live in the country and how many there will be in the future. From this they can plan and make better decisions regarding the construction of schools, hospitals, roads, and more.

The number of writing instruments in some teachers' desks is displayed in the dot plot. Which is greater the mean or the median? Explain your reasoning using the shape of the distribution.

please help..
30 points

Answers

The median is greater than the mean. From the shape of the distribution, the data set has more values on the left, so we can say it is skewed to the left. In every distribution that is skewed to the left, the median is always greater than the mean.

In the given chart we can deduce the following;

number of instruments that is 5 = 1number of instruments that is 6 = 1number of instruments that is 7 = 1number of instruments that is 8 = 1number of instruments that is 9 = 3number of instruments that is 10 = 4number of instruments that is 11 = 2number of instruments that is 12 = 1

These numbers can be listed as follows;

5, 6, 7, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 12

The median of these numbers is calculated as;

[tex]median = \frac{9+ 10}{2} = 9.5[/tex]

The mean of these numbers is calculated as;

[tex]mean = \frac{5+6+7+8+9+9+9+10+10+10+10+11+11+12}{14} = 9.07[/tex]

Thus, the median is greater than the mean.

Also, from the shape of the distribution, the data set has more values on the left, so we can say it is skewed to the left. In every distribution that is skewed to the left, the median is always greater than the mean. But if the distribution is skewed to the right, the mean is always greater than the median.

Learn more here: https://brainly.com/question/24055593

Help! Perimeter and Area please.

Answers

Area should be 51? (base times height and I divided the shape into two different shapes then added together) and I get 43 for the perimeter...I’m not certain in the perimeter is correct though so I apologize if it is incorrect. I can’t remember if you count the actual bordering red squares or if you only count the while squares AROUND the red squares....

Express the repeating decimal 2.1 repeating as a fraction.

Answers

Answer:

2 1/9

Step-by-step explanation:

Answer:

2.1×10=21

Step-by-step explanation:

.°.2,1/10

=2.1

M is the midpoint of segment CD. A is a point not on CD. If m

Answers

Answer:

x = 27.42

Step-by-step explanation:

To find the value of x

a segment will be 180 degrees so now we can easily find the value of x

2x + 1 + 5x - 13 = 180   (line segment is 180 degrees)

7x  - 12 = 180

7x = 180 +12

7x = 192

x = 192/7

x = 27.42

The y-intercept of 3y − 8x = 18 is (0, 6).

True or False

Answers

Answer:

3y = 8x + 18

for y-intercept let x = 0

3y = 8(0) + 18

3y = 18

y = 6

y-intercept is (0, 6)

THIS IS TRUE

The sum of 48 and itself,it's half and half of the half is added to 18​

Answers

48+48+24+12+18= 150

the following ratios form a proportion 6/8 * 10/12 true or false​

Answers

Answer:

false

Step-by-step explanation:

10/12 is 5/6 and 6/8 is 12/16 that's the closest whole number proportionality also, it would both have a difference of 2

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