Drag the tiles to the correct boxes to complete the pairs.
Given that x= 3 + 81 and y= 7 - 1 match the equivalent expressions.
-15 + 19
58 + 106
-&
411
-29 - 531
I. 2y
-
y
–50 ty
23 - 3y

Drag The Tiles To The Correct Boxes To Complete The Pairs.Given That X= 3 + 81 And Y= 7 - 1 Match The

Answers

Answer 1

9514 1404 393

Answer:

58 +106i-29 -53i-8 -41i-15 +19i

Step-by-step explanation:

For the purpose of selecting the appropriate tile, it is only necessary to figure the real part of the sum or product.

We notice that the second product (-xy) is -1/2 times the first product (2xy). This can let you find the answers on that basis alone. The only tiles with a (-1) : (2) relationship are (-29 -53i) : (58 +106i).

__

The sum -5x +y has a real part of -5(3) +7 = -8.

The sum 2x -3y has a real part of 2(3) -3(7) = 6 -21 = -15.

Hence the sequence of answers needed on the right side is as shown above.

_____

Additional comment

You know that arithmetic operations with complex numbers (multiplication and addition) are identical to those operations performed on any polynomials. That is, "i" can be treated as a variable. The simplification comes at the end, where any instances of i² can be replaced by -1.

  xy = (3 +8i)(7 -i) = 3·7 -3·i +8·7·i -8·i·i = 21 +53i -8i²

  = (21 +8) +53i . . . . replaced i² with -1, so -8i² = +8

  = 29 +53i


Related Questions

PLS SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

10 is -5

Step-by-step explanation:

Vas happenin!
Hope your day is good

10: -10 -(-10) +(-5)
The answer is -5

11: the answer is -9
12: -77
13: 72
14: I think 5 dollar
15: I think 2.3
Hope this helps *smiles*
Sorry if it’s wrong

5. Two unbiased dice are rolled. Calculate the probability that the sum of the two dice is:
ws
(a) 4
(b) 7
(c) Less than 7

Answers

The sample space has 36 possible pairs from 1,1 1,2 1,3 up to 6,5 and 6,6

(a). Three pairs add to 4 1,3 2,2 and 3,1 so P(4) = 3/36 = 1/12

(b). 6 pairs add to 7 so P(7) = 6/36 = 1/6

(c) 15 pairs add to less than 7 so P(<7) = 15/36 = 5/12

translate into a variable expression and then simplify. five times the sum of a number and four​

Answers

Answer:

5(n+4)

5n+20

Step-by-step explanation:

Let n be the number

5* (n+4)

Distribute

5n+20

help it's due in 20 minutes ​

Answers

Answer:

Its the first one | -9 | < | 9 |

Step-by-step explanation:

its false because both sides are identical

Hope this helps!

Answer:

Choice A

Step-by-step explanation:

|-9| = |9| = 9, not true-2² = -4 < 3, true-7≤-5, true|-1| = 1 ≥ 0, true

HURRY PLEASE!!!!!
All of the following expressions are equal except ____. 1/4^3 4^2/4^5 4^5/4^2 4^-3

Answers

Answer:

4^5/4^2

Step-by-step explanation:

We know 1/a^b = a^-b

a^b/ a^c = a^(b-c)

1/4^3   = 4^-3

4^2/4^5 = 4^(2-5) = = 4^-3

4^5/4^2 = 4^(5-2) = 4^3

4^-3

Answer:

[tex]4^{5}/5^{2}[/tex] = not the same

Step-by-step explanation:

you have the equations

[tex]1/4^{3} = 0.015625\\\\4^{2}/4^{5} = 16/1024 = 0.015625\\\\4^{5}/4^{2} = 1024/16 = 65\\\\4^{-3} = 0.015625[/tex]

Find the equation of the line: parallel to 3x - y = 11 through (-2,0)

Answers

Answer:

y=3x+6

Step-by-step explanation:

The slope of the line is 3 and the equation will be y=3x+6

Answer:

3

Step-by-step explanation:

dont put this in cuz it wrong ‍♂️

SOMEONE PLEASEEEEEEEEEE HELP!!!!!!!!1

Answers

Answer: Angle LMN = 45

Step-by-step explanation:

The line MN will be parallel to the side Line JK

And LJ will be transversal

Therefore

Angle LMN = LJK (Corresponding angles)

ATQ

⇒3 + 6x = 101 - 8x

⇒6x + 8x = 101 -3

⇒14x = 98

⇒x = 98/14

⇒x = 7

Angle LMN = 3 + 6x

= 3 + 6(7)

= 3 + 42

= 45

Therefore Angle LMN will be 45°

Must click thanks and mark brainliest

At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .50. Find the probability that in a sample of 14 customers, at least 7 will order a nonalcoholic beverage

Answers

For each customer, there are only two possible outcomes. Either they will order an alcoholic beverage, or they will not. The probability of a customer ordering an alcoholic beverage is independent of any other customer, which means that the binomial probability distribution is used to solve this question..

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .50

This means that [tex]p = 0.5[/tex]

Sample of 14 customers

This means that [tex]n = 14[/tex]

Probability that at least 7 will order a nonalcoholic beverage

This is:

[tex]P(X \geq 7) = 1 - P(X < 7)[/tex]

In which

[tex]P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]

Then

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{14,0}.(0.5)^{0}.(0.5)^{14} = 0.0001[/tex]

[tex]P(X = 1) = C_{14,1}.(0.5)^{1}.(0.5)^{13} = 0.0009[/tex]

[tex]P(X = 2) = C_{14,2}.(0.5)^{2}.(0.5)^{12} = 0.0056[/tex]

[tex]P(X = 3) = C_{14,3}.(0.5)^{3}.(0.5)^{11} = 0.0222[/tex]

[tex]P(X = 4) = C_{14,4}.(0.5)^{4}.(0.5)^{10} = 0.0611[/tex]

[tex]P(X = 5) = C_{14,5}.(0.5)^{5}.(0.5)^{9} = 0.1222[/tex]

[tex]P(X = 6) = C_{14,6}.(0.5)^{6}.(0.5)^{8} = 0.1833[/tex]

So

[tex]P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0001 + 0.0009 + 0.0056 + 0.0222 + 0.0611 + 0.1222 + 0.1833 = 0.3954[/tex]

[tex]P(X \geq 7) = 1 - P(X < 7) = 1 - 0.3954 = 0.6046[/tex]

0.6046 = 60.46% probability that at least 7 will order a nonalcoholic beverage.

For more on the binomial distribution, you can check https://brainly.com/question/15557838

Maite has money in an interest-bearing account. The table shows how much money is in the account at the end of each year.
N
Year Amount
1 $1,000.00
$1,030.00
3 $1,060.90
4 $1,092.73
5 $1,125.51
This situation represents
sequence.
The common
is
At the end of the seventh year, Maite will have $
in the account

Answers

Determining how much money will be in the account of Maite at the end of each year, we use an exponential growth factor, since this is a geometric sequence.

1. This situation represents a geometric  sequence.

A geometric sequence increases by a common exponential growth factor.

2. The common exponential factor is 1.03 (which gives a growth rate of 3% annually).  See how this factor is determined below.

3. At the end of the seventh year, Maite will have $1,194.05 in the account.  See the calculation below.

Data and Calculations:

Year    Amount

1       $1,000.00

2      $1,030.00

3      $1,060.90

4      $1,092.73

5       $1,125.51

6      $1,159.27 ($1,125.51 * 1.03)

7      $1,194.05 ($1,159.27 * 1.03)

The common exponential factor = 1.03 (1 + 0.03)

To obtain the common exponential factor, subtract Year 2 account balance from Year 1 account balance.  Divide the result by Year 1 account balance. This operation can also be carried out with Year 2 and Year 3 balances or Year 4 and Year 5 balances.

To determine how much money will be in the account of Maite at the end of Year 6, using Year 5 as a base = (Year 5 account balance * Exponential Factor)

= $1,159.27 ($1,125.51 * 1.03)

To determine Year 7 account balance, we use Year 6 above as the base

= $1.194.05 ($1,159.27 * 1.03)

Learn more about geometric sequence and exponential growth here: https://brainly.com/question/7154553

Answer:

This situation represents a geometric sequence.

The common ratio is 1.03

At the end of the seventh year, Maite will have $1,194.06 in the account.

Step-by-step explanation:

Plato

Solve 7 ( x + 1 ) + 2 = 5x + 15

Answers

Answer:

x = 3

Step-by-step explanation:

7(x + 1) + 2 = 5x + 15

~Simplify left side

7x + 7 + 2 = 5x + 15

~Combine like terms

7x + 9 = 5x + 15

~Subtract 9 to both sides

7x = 5x + 6

~Subtract 5x to both sides

2x = 6

~Divide 2 to both sides

x = 3

Best of Luck!

The king and queen spent $1500 on decorations for the ball +8 dollars per guest for party favors. The king and queen are charging each guest $12 to enter the dance. How many guests must come to the ball for the king and queen to break even? (you must write an equation and then solve)

Answers

Answer:

375 guests

Step-by-step explanation:

costs: 1500 + 8g

income: 12g

They must be equal

1500+8g = 12g

Subtract 8g from each side

1500 +8g-8g =12g-8g

1500= 4g

Divide by 4

1500/4 = 4g/4

375 = g

Which function represents the graph below?

Answers

Answer:

The inequalities all need to be of the form a < x ≤ b. Only the first selection matches that requirement.

Step-by-step explanation:

josue bought 7 pounds of pretzels at a local wholesaler for $16.80. his friend ricardo bought 5 pounds of pretzels at the supermarket for $12.75. Ricardo thinks he got the better deal because $12.75 is less than $16.80. Is Ricardo's reasoning correct? Explain why or why not.

Answers

(josue) 16.8/7 = $2.4 per lb
(ricardo) 12.75/5 = $2.55 per lb

ricardo is incorrect because if you solve for the price per pound ( price/amount ), josue paid $2.40 for each pound of pretzels while ricardo paid $2.55 per pound. ricardo ended up paying more.

Convert the following equation
into standard form.
y = 7 - 7x
[?]x + y = []

Answers

Answer:

[tex]y = 7 - 7x \\ y + 7x = 7 \\ 7x + y = 7[/tex]

Answer:

7x + y = 7

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y = 7 - 7x ( add 7x to both sides )

7x + y = 7 ← in standard form

A math teacher needs to choose 6 students from a class of 30 to go to the library. How many different groups can she select?

Answers

Each group consists of 6students.No of students=30

No if groups=No of students/no of students in each groups

[tex]\\ \sf\longmapsto \dfrac{30}{6}[/tex]

[tex]\\ \sf\longmapsto 5groups[/tex]

Which of the two functions below has the smallest minimum y-value?
f(x) = 4(x - 6)4 + 1
g(x) = 2x3 + 28
O A. g(x)
B. f(x).
C. The extreme minimum y-value for f(x) and g(x) is --
D. There is not enough information to determine

Answers

Answer:

Answer A

Step-by-step explanation:

[tex]\displaystyle \lim_{n \to -\infty} (3x^3+28)=-\infty\\\\minimum\ of \ f(x)=6\\\\Answer\ A[/tex]

Please help I don’t know the answer
The last option is none of the above

Answers

The first choice because of rise over run and y-intercepts

Answer:

The two lines are:

y=x+2 and y=-2x+6

Dotted lines represent < or >, whereas the opposite is true for solid lines.

So the correct answer is the first option.

Hope this helps!

Is this a function graph

Answers

Answer:

No, it is not a function graph, as there are no variables present in this image.

An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 331331 watts with a variance of 144144. What is the probability that the mean amplifier output would be greater than 332.8332.8 watts in a sample of 4949 amplifiers if the claim is true

Answers

Answer: brother

Step-by-step explanation:

The employee engagement score for a team was 4.89 this month. The score has been improving at a rate of 12% per month. What was the score 4 months ago?

Answers

The engagement score in 4 months would be 7.69

We are to determine the future value of engagement score in 4 months

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value = 4.89  

R = rate of increase = 12%

N = number of months = 4

4.89 ( 1.12)^4 = 7.69

To learn more about future value, please check : https://brainly.com/question/2472793?referrer=searchResults

Please help me I need it!

Answers

Third is right answer

17. what is the value of x?

18. what is the value of z?

please help me fast!!

Answers

for x ,

8x + 10x = 180°

[sum of linear pair is equal to 180°]

or, 18x = 180°

or, x = 180/18

therefore, x = 10°……

for z,

10z =8x

[ being corresponding angles are equal ]

or, 10z = 8 × 10°

( replacing x by 10°)

or, 10z = 80°

or, z = 80/10

thus z = 8°…………

An oil company is going to issue new ID codes to its employees. Each code will have one letter, followed by one digit, followed by three letters. The letters w, x, y, and z will not be used. So, there are 22 letters and 10 digits that will be used. Assume that the letters can be repeated. How many employee ID codes can be generated?

Answers

Answer:

2342560 combos

Step-by-step explanation:

so its 1 letter*1number*1 letter*1 letter*1 letter, or 22x10x22x22x22 which should equate to 2342560 possible ID codes, hope this helps :)

Choose the number that belongs to the set described

Answers

Answer:

Natural numbers,integers, rational numbers, irrational numbers.

x = either 100 , 140 , or 120

Answers

ANSWER EXPLANATION: 140

The circle is split into halves, so we know that the degree for the circumference is 180°. Then to find x, you add 30° and 10° which is 40° and subtract from 180° to get 140°.

A hot air ballon is hovering 94 meters above the ground and begins to assend at a rate of 8 meters per second Let y be the height of the balloon in meters seconds after it begins to assend. Write an equation in slope-intercept form that models the height of the balloon. And how high is the ballon after 25 seconds?

Answers

Hi

let's call X amount of second going and Y the height reach by the ballon.

so Y=8X+94

f(x) = 8X+94

If you want to know how high will the ballon be in 25 seconds, remplace X by 25 and do the math. Have fun .

Which decimal number is less than 1.56?

Answers

The decimal number is 0.9

represent 21/14 and -20/8 on the number line

Answers

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

find x and y on triangle
Also the degree is 30 and the other thing is 7sqrt3​

Answers

Answer:

y =7

x =14

Step-by-step explanation:

Since this is a right triangle we can use trig functions

tan 30 = opp /adj

tan 30 = y/ 7 sqrt(3)

7 sqrt(3)  tan 30 = y

7 sqrt(3) * 1/ sqrt(3) =t

7 =y

sin 30 = opp/ hyp

sin 30 = 7/x

x sin 30 =7

x = 7/ sin 30

x = 7 / 1/2

x = 14

What is the volume of a cone with a height of 6m and a diameter of 12m? Nearest meter.

Answers

Answer:

0.0005m^3

Step-by-step explanation:

V=1/3hπr²

h=6m

d=12m

r=12÷2=6m

V=1/3×6×(3.14)×36

V=1/2034.72

V=0.0005m^3

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