Helene is finding the sum (9 + 10i) + (–8 + 11i). She rewrites the sum as (–8 + 11)i + (9 + 10)i. Which statement explains the property of addition that she made an error in using?

Answers

Answer 1

The answer is that Helene incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.

Answer 2

Answer:

answer is d

Step-by-step explanation:

Related Questions

Give the numerical value of n corresponding to 5d.

Answers

I need more info to work with

Final answer:

The numerical value of n for the 5d orbitals is 5, which indicates that the d subshell in question is located in the fifth principal energy level of an atom.

Explanation:

The numerical value of n corresponding to the 5d orbitals is 5. In the context of atomic and quantum physics, the principal quantum number, denoted as n, signifies the principal electronic shell of an atom. Since the question refers to 5d, it means we are discussing the d subshell in the fifth principal energy level (n=5).

For a d subshell, which is represented by the azimuthal quantum number (l) having a value of 2, the first principal shell where a d subshell appears is when n=3. Therefore, the 5d subshell is present in the fifth principal energy level. As for the ml values of the d orbitals, which represent the magnetic quantum number, they can be -2, -1, 0, +1, or +2 for any d subshell.

Is the given answer a reasonable solution to the problem 7.92•10.21=88.8632

Answers

When you multiply the two factors, the answer is 107.8357. So the answer is yes. Hope this helps.

complete the calculation how to find partial products

1 2 4
× 2
----------

Answers

The first step is to write each factor in expanding notation.

This is:

- 124 = 100 + 20 + 4
- 2 = 2

Now muliply 2 times each term of the terms 100, 20 and 4

=> 2 * 100 = 200

2 * 20 = 40

2 * 4 = 8

Then,

    (100 + 20 + 4 )
x                     2
-----------------------
                       8
               40
                   200
------------------------
                   248

can someone help with my homework

Answers

Answer: seconds

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With conversion fractions, the denominator unit is always what you want to cancel out. In this case, we want to cancel out "seconds" because we want to effectively replace "seconds" with "minutes" (which is what conversions are really). The numerator is the unit we want to convert to. Take care to note that sometimes you'll need multiple conversions, and sometimes it's not going to involve one conversion fraction only.

Have a look at the attached image to get a better sense of what is going on. Note the red slash marks to indicate cancellations.

Round $8.0443 to the nearest cent

Answers

$8.04 because the four is rounding down, therefore it should be $8.04.

I hope this helps.

To round $8.0443 to the nearest cent, we leave the second decimal at 4, since the third decimal is also a 4, resulting in $8.04

To round $8.0443 to the nearest cent, you need to look at the third decimal place, which is a '4'. Since we are rounding to the nearest cent, we only keep two decimal places. If the third decimal place is 5 or more, we would round up the second decimal place. However, because it is 4, we do not round up. Therefore, $8.0443 rounded to the nearest cent is $8.04

In a classroom of 32 students 14 are male. What percentage in the class is female

Answers

18 females.
18+14= 32

Well, if the classroom has 32 students in total and 14 of them are male, then that means that 18 are female, and 18 percent of 32 is 56.25%, so that would be 56% of the students in the classroom are female. Hope that helped! :D

A seamstress has one-fourth of a foot of thread. Then she uses one-fifth of a foot of thread to sew a hole. How much of the thread is left?

Answers

1/4 - 1/5 =
first make a common denominator
5/20 - 4/20 = 1/20

Chad has 6 fewer sandwiches than Sarah.chad had 7 sandwiches. how many sandwiches did Sarah made?

Answers

Sarah made 1 sandwiches

Sarah made total 13 sandwiches.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations.

Given that,

The number of sandwiches chad have = 7

Also, Chad has 6 fewer sandwiches than Sarah,

Let the number of sandwiches Sarah have = x,

According to condition,

Sarah has 6 more sandwiches than Chad,

⇒x = 7 + 6

⇒x = 13

The number of sandwiches that Sarah made is 13.

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the sum of 5 consecutive integers is 110. what is the fourth number in the sequence

Answers

Let's divide 110 by 5, that equals 22. That is our middle number. Now, we will use the 2 numbers below that (22.) and the 2 numbers above that.
20+21+22+23+24= 110.
So, the 4th number is 23.

Justin is going on a 2000 kilometer road trip with two friends. The car consumes 6 liters of gas for every 100 kilometers and gas costs $1.20 per liter. If Justin and his two friends want to spilt it evenly, how much should each pay and how many liters of gas do they need

Answers

2000 / 100 = 20

20 * 6 = 120 liters total gas

120 * 1.20 = $144 total for gas

144 / 3 = $48 each

it is 2 kilometers from Yoko's house to the nearest mailbox. How far is it in meters?

Answers

1 km = 1000 meters. You want to convert 2 km to meters. Multiply
1000 meters
2km by -------------------- and note that "km" will cancel out. What's left?
1km

Debbie's city took a survey about a plan for a new park. The city surveyed 600 people. 60% of the people surveyed liked the plan for the park. How many people liked the plan?

Answers

Hi there.

All we have to do to find out how many people like the plan is multiplication.

We multiply the total number of people by 60% - in decimal form.

600 · 0.6 = 360

360 people liked the plan.

The answer is 360 people liked the survey.

Hopefully that answer it

help please #mathhelp

Answers

The answer is: " 14 " .
_____________________________________________________
Explanation:
_____________________________________________________
If f(x) = (x - 5) / 3 ;
_____________________________________________________
To get f⁻¹(x) ;

Take: " f(x) = (x - 5) / 3 ;

Substitute "y" in lieu of the notation, " f(x)" ;

and write as: "y = (x - 5) / 3 " ;

Then, replace "x" with "y"; and "y" with x" ;
______________________________________
"x = (y -5) / 3 " ;
______________________________________
Now, rewrite, solving for "y" in terms of "x" ;
______________________________________
y - 5 = 3x ;

Add "5" to each side of the equation; to isolate "y" on one side of the equation, and to solve for "y" in terms of "x" ; y - 5 + 5 = 3x + 5 ;
y = 3x + 5 ;
Now, substitute: "f⁻¹(x)" for "y" ; and rewrite:

f⁻¹(x) = 3x + 5 .
_________________________________________
The question asks: " Solve f⁻¹(3) ".

We have: " f⁻¹(x) = 3x + 5 " ; so; to find, " f⁻¹(3)" ; we plug in "3" for the values of "x" in the expression and solve;

f⁻¹(3) = 3(3) + 5 = 9 + 5 = 14.
_____________________________________________
The answer is: " 14 " .
_____________________________________________

if f(x)= -6x+6 then f^-1(x)=

Answers

recall that, to get the inverse relation of any expression, we start off by doing a quick switcharoo on the variables, then we solve for "y".

[tex]\bf \stackrel{f(x)}{y}=-6x+6\qquad inverse\implies \boxed{x}=-6\boxed{y}+6 \\\\\\ x-6=-6y\implies \cfrac{x-6}{-6}=y\implies -\cfrac{x}{6}+1=\stackrel{f^{-1}(x)}{y}[/tex]

To find the inverse of f(x) = -6x + 6, swap the variables and solve for y, yielding the inverse function f^-1(x) = 1 - (x/6).

To find the inverse function, f-1(x), of the given function f(x) = -6x + 6, you need to follow a series of steps. First, swap the 'x' and 'y', so it becomes x = -6y + 6. Next, solve this equation for 'y' to find the inverse function. Add 6x to both sides to get x + 6y = 6, then subtract x from both sides to have 6y = 6 - x. Dividing both sides by 6 results in y = 1 - (x/6). Therefore, the inverse function is f-1(x) = 1 - (x/6).

write 60,000+9,000+400+90+8 in standard form

Answers

the answer is 69,498

The perimeter of a college athletic field is 104104 meters and the length is 1414 m more than the width. find the length and width.

Answers

The answer is 50,638.

the value of a particular investment follows a pattern of exponential growth. in the year 2000 you invested money in a money market account. the value of your investment t years after 2000 is given by the exponential growth model A=2600e^0.052t. how much did u initially invest in the account? please show work

Answers

the 2600 is the constant so you initially invested $2600

write $80 for 16 tickets as a unite rate

Answers

5 dollars per ticket

Hope this helps (:

Hello There!

By unit rate, it means the cost per ticket.
Divide total by number of tickets:
80/16 = 5
Therefore it is $5 per ticket.

Hope This Helps You!
Good Luck :)

- Hannah ❤

In the year 2001, a total of 7.2 million passengers took a cruise vacation. The global cruise industry has been growing at 9% per year for the last decade. Assume that this growth rate continues.

How many cruise passengers (in millions) are predicted in the year 2002?

Answers

To find the number of passengers for the next year (2002), take the prior value (7.2 million) and multiply it by 1.09. This will give the predicted value for 2002. In this case, it would be (7,200,000 * 1.09 = 7.848 million). This would show that there is a predicted rise of 0.648 million passengers for the year 2002.

Final answer:

To predict the number of cruise passengers in 2002, multiply the growth rate by the previous year's number of passengers and add that to the previous year's total.

Explanation:

To predict the number of cruise passengers in the year 2002, we need to apply the growth rate of 9% to the number of passengers in the previous year (2001).

Therefore, the predicted number of cruise passengers in the year 2002 is

7.848 million

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what is the cost of painting the walls and ceiling of a room with walls 30 foot by 25 foot by 1st foot with paint that covers at $9.50 per square yard, allowing for 1275 square feet for doors, windows, and baseboards?

Answers

what I can make out is, check the picture, that'd be the dimensions of the room.

therefore, the surface area of that room is

2 10x25 rectangles, front and back

2 30x10 rectangles, left and right

and 2 25x30 rectangles, top and bottom

so the area will be (2*10*25) + (2*30*10) + (2*25*30), which gives us 2600 square feet though, not yards.

let's add the doors, windows and others which is 1275, so 2600 + 1275, that gives us 3875 square feet.

now, the paint is 9.5 for square yard, no feet, so let's do some conversion then,

[tex]\bf \begin{array}{ll} yards&feet\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1yd&3ft\\ (1yd)^2&(3ft)^2\\ yd^2&3^2ft^2\\ &9ft^2 \end{array}[/tex]

so, if there are 9 square feet in one square yard, how many square yards are there in 3875 square feet?

[tex]\bf \begin{array}{ccll} yd^2&ft^2\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1&9\\ x&3875 \end{array}\implies \cfrac{1}{x}=\cfrac{9}{3875}\implies \cfrac{3875}{9}=x[/tex]

that's how many yd² are there in 3875 ft².

now, we know for every yd², is $9.50, so then the cost will be

[tex]\bf 9.5\cdot \cfrac{3875}{9}\implies \cfrac{95}{10}\cdot \cfrac{3875}{9}\implies \cfrac{73625}{18}~~\approx~~ \stackrel{\$}{4090.2778}[/tex]

If a truck hauls 5 loads per week how many loads would it haul in a 1 year period

Answers

1 year = 52 weeks

52 * 5 = 260 loads

Mikayla withdraws $20 on 4 different days during a week. Find the total change in her account balance after the withdrawals.

Answers

20 times 4 = 80

so the change in her account would be negative 80 dollars

The change in her account after 4 withdrawals of $20 the change in her account will be $(D - 80)

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given that Mikayla withdraws $20 on 4 different days during a week.

Assuming she had $D before she had made any withdrawals.

∴ The situation can be represented numerically as,

(D - 20 - 20 - 20 - 20) dollars.

= (D - 80) dollars.

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Find the standard matrix of the linear transformation t(x, y, z) = (x − 2y + z, y − 2z, x + 3z).

Answers

[tex]T(x,y,z)=(x-2y+z,y-2z,x+3z)=\begin{bmatrix}1&-2&1\\0&1&-2\\1&0&3\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}[/tex]

What is a 6% increase to $62,900

Answers

6% = 0.06

multiply:

62900*0.06 = 3,774 ( Would be the amount of increase)

add:

62900 + 3774 = 66,674 (would be the new total)

Which of the following statements describes the process for solving 4 x ≥ -24?

Divide both sides of the inequality by -24 and flip the symbol.

Divide both sides of the inequality by -24 but don't flip the symbol.

Divide both sides of the inequality by 4 and flip the symbol.

Divide both sides of the inequality by 4 but don't flip the symbol.

Answers

Divide both sides of the inequality by 4 but don't flip the symbol.

First, you have to isolate the x, and so you divide by 4

However, because you are not dividing by a negative number, you will keep the sign the way it is

hope this helps :D

Hello Charlie!

The correct answer is option D

Divide both sides of the inequality by 4 but don't flip the symbol.

------------------------
Note: The only time you flip the symbol is when we divide by negative sign.

I hope this helps!

solve this system of linear equations. separate the x- and y- values with a coma. -x=29-14y
-9x=-19+14y

Answers

We are given the two equations:

(1) -x=29-14y
(2) -9x=-19+14y

Multiply (1) by 9:

-9x = 261 – 126y

Subtract the two equations:

-9x = 261 – 126y

-9x=-19 + 14y

0 = 280 – 140y

140y = 280

y = 2

From (1):

-x = 29 – 14 (2)

x = -1

Answers:

x = -1

y = 2

which fraction correctly completes the equation

Answers

The answer is D=1/4.

solve this equation
h(t)= -16t+175t+500

Answers

Use the quadratic formula where a = -16, b = 175 and c = 500 to find t. See picture for quadratic formula.

A dentist orders 15 boxes of floss and 20 boxes of toothbrushes each month. Floss is sold 79 to a box, how many items does the dentist order each month

Answers

35 cause it tells you he buys 15 box (boxes as in items) and 20 boxes add them together is 35 items

complete question:

A dentist orders 15 boxes of floss and 20 boxes of toothbrushes each month. Floss is sold 70 to a box and toothbrushes are sold 50 to a box . how many items does the dentist order each month.

Answer:

The dentist orders 1050 number of floss and 1000 number of toothbrushes. The items are 2 different items namely floss and toothbrushes.

Step-by-step explanation:

The dentist orders 15 boxes of floss and 20 boxes of toothbrushes each month.

The floss is sold 70 to a box, this means about 70 numbers of floss occupies each box of floss. To get the total number of floss items in the 15 boxes of floss, we have to multiply the number of boxes of floss by the number of floss present in each box. Mathematically,

70 × 15 = 1050 items of floss

The boxes of toothbrushes is 20 . For each box the number of toothbrushes is 50 . To get the total number of tooth brushes we multiply the number of boxes by the total number of toothbrushes in each box.

50 × 20 = 1000 items of toothbrushes.

The dentist orders 1050 number of floss and 1000 number of toothbrushes. The items are 2 different items namely floss and toothbrushes.

I need to find all real solutions. In this problem, a>0, a is not equal to 1

Answers

|log[a] x| = log[a^2] x + 1

log[a] x = log[a^2] x + 1 (Eq. 1) or log[a] x = -log[a^2] x - 1 (Eq. 2)

Eq. 1:

(log x)/(log a) = (log x)/(log a^2) + 1

(log x)/(log a) = (log x)/(2log a) + 1

2log x = log x + 2log a

log x = 2log a

log x = log a^2

x = a^2

Eq. 2:

log[a] x = -log[a^2] x - 1

(log x)/(log a) = -(log x)/(log a^2) - 1

(log x)/(log a) = -(log x)/(2log a) - 1

2log x = -log x - 2log a

3log x = -2log a

log x^3 = log a^(-2)

x^3 = a^(-2)

x = a^(-2/3)

x = 1/a^(2/3)

Answers:

x = a^2 or x = 1/a^(2/3)

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