1. You find that of your simplified responses to A through E match to a simplified response among F through J. List the matches by letter and write what the simplified response is to each matched pair.
Answer:
2. Determine the modulus of each of the complex numbers in the matching pairs. List these moduli in order from smallest to largest. Use the letters of the matching pair in your listing.
Answer:
3. Suppose m = 2 + 6i, and║m+n║= 3√10 , where n is a complex number.
a. What is the minimum value of the modulus of n?
b. Provide one example of the complex number, n.

1. You Find That Of Your Simplified Responses To A Through E Match To A Simplified Response Among F Through

Answers

Answer 1

Answer:

F.(8-√-11)(8+√-11)

8²-11²i²

8²-121×-1

64+121

=185

G.

(3+i)(2+i)

6+3i+2i+i²

6-1+5i

5+5i

H.

(4+6i)+(-7-7i)

5+6i-7-7i

-2-i

i.

i^24

(i^2)^12

=1

J.

(-3+10i)-(-5+4i)

-3+10i+5-4i

2+6i.

Answer 2

The simplified form of the expressions are 185, G. 5 + 5i, H. -2 - i, I. 1, j. 2 + 6i.

What is a simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

F. (8-√-11)(8+√-11)

[tex]8^2 - 11^2 i^2\\8^2 - 121 \times -1\\64+121\\=185[/tex]

G.

(3+i)(2+i)

[tex]6+3i+2i+i^2\\6-1+5i\\5+5i[/tex]

H.

[tex](4+6i)+(-7-7i)\\5+6i-7-7i\\-2-i[/tex]

i.

[tex]i^24(i^2)^12=1[/tex]

J.

[tex](-3+10i)-(-5+4i)\\-3+10i+5-4i\\2+6i.[/tex]

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Related Questions

If the volume of a sphere is 36pi cubic units, what is the radius?

- 4 square root 3 units
- 9 units
- 3 units

Answers

Answer:

3 units

Step-by-step explanation:

I'm not sure how to explain it but I hope it helps.

Which equation best describes the line shown on the graph?

Answers

Answer:

x = -2

Step-by-step explanation:

What is the measure of arc FH?

Answers

Answer:

140

Step-by-step explanation:

The measure of arc of FH is 140.

What is Arc?

The arc of a circle between two distinct locations is known as a circular arc.

One of these arcs, the minor arc, subtends an angle at the circle's center that is less than radians (180 degrees), and the other arc, the major arc, subtends an angle higher than radians if the two points are not exactly opposite one another.

A circle's arc is referred to as a portion or section of its circumference. A chord of a circle is a straight line that joins the two ends of the arc. A semicircular arc is one whose length is exactly half that of a circle.

Therefore, The measure of arc of FH is 140.

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simplify the equation b^5•b^8

Answers

The answer is 2b^13
Hope this is helpul

if the graph of the equation equals y=3^x is reflected on the x-axis, the equation of the reflection is

Answers

it would be y= -3^x :) all you have to do is make the equation negative to give it the opposite reflection

help me please !!!!!

Answers

Answer:

The answer is $28,620.

Step-by-step explanation:

$53,000 * 2.7% = 1431

$1,431 * 20 = $28,620

Hope this helped you!!!

The following system of equations is _____.



y = - x +

2x + 6y = 4

independent
inconsistent
equivalent

Answers

Answer:

"equivalent"

Step-by-step explanation:

Right!!

Reuben bought 6 boxes of chocolates. Each box cost $7.36. How much did he spend?​

Answers

Answer:

$44.16 he spent on chocolate

How is rotation and dilation similar?

Answers

Rotation is the process of turning a figure a specific amount around a point. When we dilate a figure, we increase or decrease its size.

The circular movement of an item about a primary axis is referred to as rotation or spin. A revolving object in two dimensions only has one conceivable central axis and can revolve either clockwise or counterclockwise. There are many conceivable central axes and rotating orientations for a three-dimensional object.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size.

On a coordinate plane, forms can be rotated and dilated in addition to translated and reflected. When a shape is rotated, the new shape is consistent with the old. When you dilate a shape, the resulting shape is similar to the original.

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Find the a if c = 5
;;;;;;

Answers

Answer:

Step-by-step explanation:

Solve this by writing an equation of ratios:

 1        a

----- = -----

√3     5

                                        5

Then 5 = √3*a, or a = -----------

                                       √3

                                                        5√3

Rationalize the denominator:  a = ----------

                                                             3

Together, teammates Pedro and Ricky got 2861 base hits last season. Pedro had 277 more hits than Ricky. How many hits did each player​ have

Answers

Answer:

Ricky 1292 Pedro 1569

Answer: Ricky had 1292, Pedro had 1569.

Step-by-step explanation: First, you subtract 277 from 2861, then divide that by 2 to find how many hits Ricky had. You then add back the 277, and you get Pedro’s hits.

Zoey took a taxi from her house to the airport. The taxi company charged a pick-up

fee of $1. 20 plus $3. 25 per mile. The total fare was $40. 20, not including the tip.

Write and solve an equation which can be used to determine , the number of miles

in the taxi ride.

Equation:

I

Answer: I =

Submit Answer

Answers

The equation and the answer of this question is 1.20 + 3.25x = 40.20, x = 12

According to the information that has been provided to us, the cost that the taxi company charged was $1.20, in addition to $3.25 per mile, for a total fare of $40.20.

Therefore, the equation would be:

1.20 + 3.25X = 40.20

To find the distance from Zoey’s house to the airport we need to calculate the value of X

1.20 + 3.25X = 40.20

3.25X = 39

X = 39 : 3.25

X = 12 miles

As a result, the distance from the house to the airport would be around 12 miles.

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Geometry questionnn! Please help

Answers

Answer:

d

Step-by-step explanation:

you need to match up the sides, heres a drawing it doesnt have work on it but I just looked at the sides while reading the choices and the ones that matched up to the correct sides was D

Answer:

D when you draw the triangles, those sides would be similar.

h(a) = a^2 + 4 when a = -3​

Answers

Answer:

[tex] \sf \: h(-3) = 13[/tex]

Step-by-step explanation:

Given information,

→ h(a) = a² + 4

The value of h(a) when a is -3,

→ h(a) = a² + 4

→ h(-3) = (-3)² + 4

→ h(-3) = 9 + 4

→ [ h(-3) = 13 ]

Hence, required answer is 13.

Help me on this one too please

Answers

Answer:

12. False True True False

13. Table A: f(x)=9 x=-1

Step-by-step explanation:

for table B and C the data is blurry so I cannot tell. try using math.way

Answer:

12. False, True, True, True

13. Table A, Table C, Table B

For each expression, write an equivalent expression in standard form. Show your reasoning. (x-2) (x+2)

please help!

Answers

Answer: x^2-4

Step-by-step explanation:

(x-2)(x+2)

x^2-2^2

x^2-4

What would the answer be?

Answers

y2
The two is an exponent.

Answer:

[tex]w^{2}[/tex]

Step-by-step explanation:

Help it’s due in thirty minutes!!!!

Answers

Answer:

-4

Step-by-step explanation:

-5 + ______ = -9

-5 + -4 = -9

Answer:

4

Step-by-step explanation:

-5-(-9)

WILL GIVE BRIANLIST


:The temperature over the course of a day was being monitored. In the morning, the temperature was −3°F. In the middle of the day, the temperature rose to 12°F. After dark, the temperature dropped again to −6°F.


What was the average temperature for the day?


Responses


−3°F

negative 3 degrees F


−1°F

negative 1 degrees F


1°F




Answers

Answer:

Step by step explanation:

To find the average temperature, you take the three different temperatures you had throughout the day and divide them by how many different kinds there are. (3).

This means that the average is 1°F. This is because you have to add -3 + 12 + (-6) = 3.

Then you have to divide 3 by the amount of numbers you need to average between. In this case, you have to divide 3 by 3.

So, your final answer is:

The average temperature for the day was 1°F

Six cars pull up to a red light, one at a time. At the light, there are three lanes, one left-turn lane, one straight-going lane, and one right-turn lane. How many ways can the cars stack up so that all three lanes are occupied

Answers

According to the probability, there are 540 arrangements that can the cars stack up so that all three lanes are occupied.

How is card probability determined?

Mathematicians use addition and division as well as counting to calculate probability.

There are three partitions of six using digits 1-3.

(4,1,1), (3,2,1), (2,2,2) (2,2,2)

These could be dispersed between the lanes in order that

(3) Possible solutions to (4,1,1)

There are six possible ways to solve the equation (3,2,1).

There is only one possible solution to the equation (2,2,2).

Cars must now move in the lanes in proper order.

The arrangements for (4,1,1) will be 6C4 * 2C1 = 30. Six cars are chosen, sorted, and placed in the appropriate lanes. then decide on 1 of the 2 surviving vehicles.

then place it in a lane.

The arrangements for (3,2,1) will be 6C3 * 3C2 = 60.

There will be 6C2 * 4C2 = 90 arrangements for (2,2,2).

Consequently, there will be 540 arrangements (3*30 + 6*60 + 1*90 = 90+360 + 90).

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If 2E measures 45, ZF measures 98°, and e is 5 feet, then find f using the Law of Sines. Round y
nswer to the nearest foot.
e
4 feet
5 feet
6 feet
7 feet

Answers

Answer:

7 feet

Step-by-step explanation:

If 2 of the 1000 test subjects are randomly selected find the probability that they both had false positive results. Is it unlikely to randomly select 2 subjects and get 2 results that are both false positive results

Answers

Using the concept of conditional probability and the conditions provided, The answer is [tex]\frac {p^2}{2pq}[/tex] .

What do you mean by probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probabilities can be calculated using the ratio of the number of favorable outcomes to the total number of possible outcomes. It helps us to understand the uncertainty of events.

What do you mean by false positive results?

A false positive result is when a test indicates that a particular condition or attribute is present, when in reality it is not. For example, in medical testing, a false positive result would occur when a test for a disease returns a positive result but the person being tested does not actually have the disease. False positives can have serious consequences, as they can lead to unnecessary treatments, further testing, and anxiety for the person being tested.

p=probability of occurrence

q=1-p

P(false positive for both subjects | false positive for one subject) = P(false positive for both subjects and false positive for one subject) / P(false positive for one subject)

P(false positive for both subjects | false positive for one subject) = p^2 / (2pq)

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Jim wrote the following derivation of a term with a rational exponent based on a term consisting of a radicand that is less than 0

Answers

The equivalent form   [tex][latex] {{8}^{\frac{1}{3}}}[/latex][/tex]can be determined where the origin of the numerator of 1.

When rewriting a radical with a fractional exponent, the numerator is the power to which the radicand is increased, and the denominator is the root or index.

The link between [tex][latex] \sqrt[n]{{{a}^{m}}}[/latex]and [latex] {{a}^{\frac{m}{n}}}[/latex][/tex]also applies to rational exponents with a numerator of 1. For instance, the radical [tex][latex] \sqrt[3]{8}[/latex][/tex]

can also be expressed as [tex][latex] \sqrt[3]{{{8}^{1}}}[/latex][/tex].

Since any number retains its value when raised to the first power, [/latex]. Now that you have the equivalent form of [tex][latex] {{8}^{\frac{1}{3}}}[/latex][/tex], you can determine where the origin of the numerator 1.

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If you start with 1 marble in a jar and double the amount of marbles in a jar every minute, you will fill the jar in 60 minutes. How many minutes will it take for the jar to be half full?

Answers

Answer: 59min

Step-by-step explanation:

could anyone help me with this?

Answers

Answer:

[tex]A(t) = a(1+r)^t\\\\A(10) = 2000( 1+ .04)^{10}\\\\[/tex]

        = $2960.49

option  1

please also show the steps to get the answer

Answers

Answer:

95 degrees

Step-by-step explanation:

Angle S is 95 so arc QR = 95×2 = 190

Total arc is 360 degree

Now to find arc QS

arc QS + arc SR + arc QR =360

arc QR + 75 + 190 =360

arc QR = 360- 265

arc QR = 95 degrees









Xxxxxxxxxxxxxxxxxxxx

Answers

Answer:

XXXXXXXXXXXXXXXXXXXX Ion know

Find an expression which represents the difference when (-3x - 9y) is subtracted from (-4x + 6y) in simplest terms.​

Answers

Answer:

15y - x

Step-by-step explanation:

(-4x + 6y) - (-3x - 9y) = -4x + 6y + 3x + 9y

combine like terms:

15y - x

Find the value of x

Pls help

Answers

Answer:

9

Step-by-step explanation:

Angles should be equal

How many more houses have an area between 150 and 200 than 250 and 300?

Answers

8
There are 9 between 150 and 200 and 1 between 250 and 300
9-1=8
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