An additive identity for i, denoted e, is an element in i such that for any element i in i, e + i = i = i + e. Example: The formula is i + 0 = i = 0 + i.
The additive identity of (-10+4i) is (0+0i).
What is additive identity?Additive identity property states that when a number is added to zero will give the same number in result . “Zero” is called the identity element, If we add any complex number with zero, the resulting number will be the same complex number. It doesn't change the number and keeps its identity.
For the given situation,
The complex number is (-10+4i)
The general form of complex number is a+bi. The additive identity for complex number is 0+0i.
⇒ [tex](-10+4i)+(0+0i)=(-10+4i)[/tex]
Hence we can conclude that (0+0i) is the additive identity of (-10+4i).
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It takes five people four hours to paint a fence.
How long would it take ten people to paint the same fence at the same rate?
Remember to include units in your answer.
Answer:
2 hours
Step-by-step explanation:
First, we notice that the time taken to paint a fence is inversely proportional to the number people used because as the number of people increase, the time taken to paint the fence decreases.
5 people can paint a fence in 4 hours.
1 person can paint a fence in = 5 x 4
= 20 hours
10 people can paint the fence in = 20/10
= 2 hours
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help plz ...............
Answer:
1.869 more miles
Step-by-step explanation:
the formula is
[tex]distance\:of\:jake-distance\:of\:tom\\\\=4.89-3.021\\\\=1.869miles[/tex]
Answer:
1. 869 miles farther
Step-by-step explanation:
4.89-3.021= 1.869miles
Therefore, Jake went 1.869 miles farther than Tom did.
PLEASE ANSWER THIS ASAP !!!!!!
Answer:
y = - x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line
m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus
y = - x ← equation of line
Jackie wants to purchase a class ring. She found the same ring for $225 at three different stores. The discounts the stores are offering are shown in the table below.
Jewelry Stores
Store Discount
1 25%
2 $25
3 1/3
Which statement about the sales price of the ring is true?
A. Store 1 and Store 2 have the same sales price of $200.
B. Store 3 has the best sales price of $150.
C. Store 1 has the best sales price of $168.75.
D. Store 3 has the best sales price of $75.00.
Answer:
A
Step-by-step explanation:
im not sure tho
Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points. What is the minimum number of points that Madeline needs to earn?
F. x ≥ 96
G. 96 ≥ x
H. x ≤ 16
J. 16 ≤ x
The solution is : she needs at least 16 points.
x + 64 ≥ 80
x ≥ 16
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
Given
Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points.
so,
Total = 80 (at least)
accumulated = 64
Required
Express as an inequality
In inequalities, at least means ≥
So, the expression is:
Where x represents the additional points
x + 64 ≥ 80
Solve for x
x ≥ 16
Hence, she needs at least 16 points.
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Find the slope between the points (3, 0) and (5, 4).
A. 2
B. 12
C. 4
Answer: I would say A tbh thank you
Step-by-step explanation:
The coordinates of two points on the line, use the slope formula to determine the slope of the line.
The slope between the points (3, 0) and (5, 4) exists 2.
What is meant by slope of the equation?Given the coordinates of two points on the line, use the slope formula to determine the slope of the line.
The slope formula, or the ratio of the change in the y values to the change in the x values, is
[tex]$m=\frac{y_ 2-y _1}{x _2-x _1}$$[/tex]
where [tex]$(x _1, y_ 1)$[/tex]and [tex]$(x_ 2, y _2)$[/tex] are two points that lie on the line.
Let the points be [tex]&(x _1, y _1)[/tex] = (3, 0) and [tex]$&(x _2, y _2)[/tex] = (5, 4)
The equation be [tex]$m=\frac{y_ 2-y _1}{x _2-x _1}$$[/tex]
substitute the values in the above equation, we get
[tex]$m=\frac{4-0}{5-3}=\frac{4}{2} \\[/tex]
The slope between the points (3, 0) and (5, 4) exists 2.
Therefore, the correct answer is option A. 2.
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A school wants to buy some new desks and chairs. If it buys 40 desks and 100 chairs, the
total cost is $1100; if it buys 50 desks and 80 chairs, the total cost is $1150. What is the
price of a desk and a chair
Answer: The price of desk is 15 and the price of the chairs 5
Step-by-step explanation:
The slope of a vertical line is:
Answer:
The slope of a line is change in Y / change in X. The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.
the slope of a virtual lin.e is change in Y / change in X
Write an equation of the direct variation (the line has a y-intercept of (0,0)) that includes the point (3,18).
Desmos Graphing Calculator
Algebra I STAAR Formula Chart
Calculator
Y=12
y = -6x
y 63
Answer:
b
Step-by-step explanation:
Eric bought a ruler for $1.29 and an eraser for $0.39. He paid with $2.00. What is the correct amount of change he should get back?
Answer:
$0.32, so a quarter a nickel and 2 pennies
Step-by-step explanation:
Answer:
$0.32
Step-by-step explanation:
First, add $1.29+$0.39 to get the total amount of the transaction.
$1.29+$0.39 = 1.68
Then, subtract that from the amount paid.
$2.00-$1.68
= $0.32
If Koran and Mai start a bike trip at the same time, how far are they after 24 minutes?
pls pls someone answer thissss asap...also I’d like the steps on how to do it as well pls and ty!!!
Answer:
v>19/6
Step-by-step explanation:
Can someone help me with this please
Answer:
The 3rd one
Step-by-step explanation:
The rest have dilations, which change the size of the shape. The rest are literally just moving the shape around.
1.) A man invested $600 at 8% per annum for 5 years. Calculate: a.) The simple interest payable b.) The total amount of money the man collected at the end of the 5-year period. 2.) Mr. Ford invested $12 450 in a bank at 7.25% per annum simple interest for 6 years. Calculate: a.) The interest he was paid b.) The total of amount of money he would have received at the end of the period of investment. 3.) The simple on $15 000 for 9 years is interest is paid when $800 is invested for 5 years.
Answer:
Following are the solution to this question:
Step-by-step explanation:
Using formula:
[tex]\text{Simple Interest} = \frac{P \times R \times T}{100} \\\\\text{ Total amount} = \text{principle}+ \text{Simple Interest}[/tex]
In question (1):
[tex]Principle= \$ 600\\Rate = \ 8 \%\\Time= \ 5[/tex]
In point a:
[tex]\to \frac{P \times R \times T}{100} \\\\\to \frac{(600 \times 8 \times 5)}{100}\\\\ \to 240[/tex]
In point b:
[tex]\to amount = principle \ +\ simple \ interest[/tex]
[tex]= 600 + 240 \\\\= 840[/tex]
In question (2):
[tex]Principle= \$ 12,450\\Rate = \ 7.25 \%\\Time= \ 6[/tex]
In point a:
[tex]\to \frac{P \times R \times T}{100} \\\\\to \frac{(12,450 \times 7.25 \times 6)}{100}\\\\ \to 5,415.75[/tex]
In point b:
[tex]\to amount = principle \ +\ simple \ interest[/tex]
[tex]= 12,450 + 5,415.75 \\\\= 17,865.75[/tex]
The 3 question is incomplete, that's why it can't be solved.
alice has 5 quarters and 2 nickels. how many cents does alice have?
Answer: $1.35 is the answer
Answer:
5 quarters is equal it 1$ and 25¢, 2 nickles is equal to 10¢, put these together and you get 1$ and 35¢ or 1.35$
What is an
equation of the line that passes through the points (6,8) and (-3, 2)?
what is the equation of a line parallel to y=4/5x+2 that passes through 1,2
Answer:
4/5x+6/5
Step-by-step explanation:
not sure but i have my ways with equations lol
pls :,) i suck at math
Answer:
60%
Step-by-step explanation:
The original was $20 to $12, so if you divide both prices by 2 (to make one side 10 and the other the simplified percentage) you get:
10 to 6.
Percentages are typically x% out of 100, so if you multiply both by 10 you get:
100 to 60. All you have to do now is change the format to percentage instead of a fraction (60/100) and the answer is 60%.
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
Answer:
a i think
Step-by-step explanation:
4.06 = 0.19 = 0.29 = 0.86 = 19% 29% 38% 332% 247% 293% 2.98 = 406% 0.81 = 353% 2.93 = 22% 4.61 = 86% 6% 81% 483% 41% 422% 461% 3.35 = 298% 0.68 = 68% FINISH 55% 0.38 = 424% 71% 413% 315% 26% 88% 92% 2.4 = 335% 0.74 = 74% 3.32 = 3.53 = 172% 248% 240% 125% 28%
Answer:
what are you asking though
According to the Fundamental Theorem of Algebra a 5th degree function has how many zeros?
Answer:
i need more info
Step-by-step explanation:
What is the slope of 9,7 and 3,5
Answer:
slope is 1/3
Step-by-step explanation:
Answer: 1/3
Step-by-step explanation: slope is difference in y values over difference in x values
how to find the value of a+b+c given that a=4,b=3 and c= -2
Answer: 5
Step-by-step explanation: 4 + 3 + -2 = 5
So if a video that is 15:34 how long is it when 2 times speed
tip: times 15 min. buy 60 then divdie all of the sec. by 2
Answer:
7:47
Step-by-step explanation:
Here are two ways of solving this:
The video will be half the time of 15:34, so you need to divide the time 15:34 by 2.
Method 1)
Use the tip. The video is 15 minutes and 34 seconds long.
Convert minutes to seconds: 15 * 60 = 900
Add 34 seconds to the 15 minutes: 900 seconds + 34 seconds = 934 seconds
The video is 934 seconds long.
Divide the total seconds by 2: 934/2 = 467
467 seconds = 420 seconds + 47 seconds = 7 minutes and 47 seconds
Answer: 7:47
Method 2)
Divide the minutes by 2 and divide the seconds by 2.
15 minutes and 34 seconds.
Divide minutes by 2: 15/2 = 7.5
Divide seconds by 2: 34/2 = 17
Now we need to add 7.5 minutes and 34 seconds.
0.5 minutes is half a minute, so it's 30 seconds.
7.5 minutes + 17 seconds =
= 7 minutes + 0.5 minute + 17 seconds
= 7 minutes + 30 seconds + 17 seconds
= 7 minutes + 47 seconds
= 7:47
Answer: 7:47
Write an equation in slope-intercept form for the line with slope −3 and y-intercept 2.
Answer: Y= -3x+2 is how you would write it according to the slope-intercept formula Y=MX+B
Step-by-step explanation: M being your slope
And B being your Y-Intercept
Dawn made a $10,000 down payment on a home financed at 8%. What is the cost of the home?
A. $85,000
B. $125,000
C. $80,000
D. 8,000
I don't understand how you would be able to determine the cost of the house with a down payment and finance rate.
Answer:
$125,000
Step-by-step explanation:
the cost of the home = (10,000/8)*100 = $125,000
Answer:
125,000
Step-by-step explanation:
B is between A and C. If AB = 2x + 1, BC = x, and AC = 22. Find AB.
Answer:
15
Step-by-step explanation:
AB + BC = AC
2x + 1 + x = 22
3x + 1 = 22
3x = 22 -1
3x = 21
x = 21/3
x = 7
AB = 2*7 +1
= 14 + 1
= 15
what is 7w when w means 2?
Answer:
14
Step-by-step explanation:
we know that w and 2 are the same here, so substitute w with 2: 7(2)
this means 7 times 2, and that is 14
Answer:
14
Step-by-step explanation:
If w=2
Plug in 7(2)... Multiply then you would have 14.
the one of the following is NOT a measure of central tendency?____
a) mean. B) median. c) range. d) mode
Answer:
D). Mode
Step-by-step explanation:
I hope this helps!! Have a good day!
Answer:
they all are.
Step-by-step explanation:
They all are a measure of central tendency Standard deviation is not. Hope this helps :D
Write the following in standard form:
2x*3x^2
Answer
1296
Step-by-step explanation:
The explanation is 2x is written as 2*2 = 4
then 3x is written as 3*3 = 9 so
so you do 4*9 = 36 * 2 = 1296
Answer:
The answer to your problem is: 6x³
What is the value of the 100th term in this arithmetic sequence?
5, 7, 9, 11, ...
Answer:
the 100th term would be 193
Step-by-step explanation:
5-(n-1) times 2
5-99 times 2
5-198
193
I hope this helps