Answer: The complex conjugate has a very special property. Consider what happens when we multiply a complex number by its complex conjugate. We find that the answer is a purely real number it has no imaginary part. This always happens when a complex number is multiplied by its conjugate the result is real number.
Real numbers can be positive or negative, and include the number zero. They are called real numbers because they are not imaginary, which is a different system of numbers
Step-by-step explanation: Every complex number has a complex conjugate. The complex conjugate of a + bi is a - bi. For example, the conjugate of 3 + 15i is 3 - 15i, and the conjugate of 5 - 6i is 5 + 6i.
any one pls helpp! i dont understand this???
Answer:
X= 10, 20, 30, 40, 50, 60
Step-by-step explanation:thats
thats all i know
Bryan and Yuan started out at their houses and are biking towards each other. Bryan started
out first, and has already gone 5 miles. He bikes at a constant speed of 3 miles per hour.
Yuan just left, and rides at 4 miles per hour. When the boys meet halfway between their
houses, they will continue to the park together. How long will that take? How far will each
boy have ridden?
Answer:
Bryan and Yuan will meet after 5 hours, having traveled 20 miles each.
Step-by-step explanation:
Given that Bryan and Yuan left their homes at different periods of time and at different speeds, to determine how long they will meet and how much distance they will have traveled, the following calculation must be performed:
B = 5 + (3X)
Y = 4X
B = 5 + 3x2 = 11
Y = 4x2 = 8
B = 5 + 3x3 = 14
Y = 4x3 = 12
B = 5 + 3x4 = 17
Y = 4x4 = 16
B = 5 + 3x5 = 20
Y = 4x5 = 20
Therefore, Bryan and Yuan will meet after 5 hours, having traveled 20 miles each.
165 miles in 3 hours. How many miles in 9 hours
Answer:
495
Step-by-step explanation:
165/3=495/9
So 495 miles
Answer:
495
Step-by-step explanation:
3 = 9
165 x
9 x 165 = 1485
1485 / 3 = 495
A mystery number is multiplied by 11 then 10 is subtracted from it to give you a result of 34. What is the mystery number?
Answer:
4
Step-by-step explanation:
(?*11)-10=34
(?*11)=34+10
(?*11)=44
44/11= 4
What are the zeros of this function?
A. x = -6 and x = -4
B. x = 0 and x = 4
C. x = -6 and x = 5
D. x = 4 and x = 6
Answer:
D. x=4 and x=6 (A P E X)
does anybody know how to get the 3rd mark ?
Answer:
Long sides are 1.4 and short sides are 0.7
Step-by-step explanation:
In a paint factory, an old conveyer line has filled 12 barrels of paint, and is filling more at a rate of 4 barrels per minute. A worker just switched on a newer line that can fill 10 barrels per minute. In a little while, the two lines will have filled an equal number of barrels. How long will that take? How many barrels will each line have filled?
Answer:
Take 2 minutesEach line would have filled 20 barrelsStep-by-step explanation:
First line is filling at 4 barrels a minute and has already filled 12
Second line is filling at 10 barrels a minute.
Assume the time taken to be equal is x:
12 + 4x = 10x
12 = 10x - 4x
6x = 12
x = 12/6
x = 2 minutes
Each barrel would have filled:
= 10x
= 10 * 2
= 20 barrels
A rectangle has an area of 6x^(2) + 7x - 3 square units. Which of the following could represent the perimeter of the rectangle in terms of x?
A. 2x + 3
B. 5x - 2
C. 10x + 4
D. 20x + 8
Answer:
Erm
Step-by-step explanation:
Answer:
i think its B
Step-by-step explanation:
hope this helps
Write the quadratic equation whose roots are 1 and -3, and whose leading coefficient is 1.
(Use the letter x to represent the variable.).
Step-by-step explanation:
Factor Theorem:
"If a is a root of a polynomial, (x - a) is a zero of the polynomial."
Therefore by Factor Theorem,
we have (x - 1)(x + 3) = x² + 2x - 3.
It takes Ann 8 hours to travel a
distance of 480 miles. At this rate,
how many miles does she travel in
13 hours?
780 miles
60 miles
97 miles
1260 miles
Answer:
d = 780
Step-by-step explanation:
Remark
You can do this with a proportion which will save you figuring out the rate. I'll do it both ways
Proportion
480/8 = x / 13 Cross Multiply
8*x = 13*480
8x = 6240
x = 780 miles
======================
Remark
Often times we like questions to follow a formula. Here's the formula method.
Formula
d = r * t
Givens
t = 8 hours
d = 480miles
r = ?
480 = r * 8
480 / 8 = r
r = 60
Second part
r = 60 miles per hour
t = 13 hours
d = ?
d = 60*13
d = 780 miles
which equation represents a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1
Answer:
Equation of a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1 is [tex]\mathbf{y=3x-21}[/tex]
Step-by-step explanation:
We need to write equation of a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1
The equation will be in slope-intercept form i.e [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Finding Slope
Since the lines are parallel to each other, their slopes will be equal.
Slope of given line: y = 3x + 1 is 3 (Compare it with general equation [tex]y=mx+b[/tex] we get m = 3)
So, slope of required line is: m=3
Finding y-intercept
Using the point (6,-3) and slope m = 3 we can find y-intercept by using the formula:
[tex]y=mx+b\\-3=3(6)+b\\-3=18+b\\b=-3-18\\b=-21[/tex]
So, we get y-intercept: b= -21
Equation of required line
The equation of required line having slope m=3 and y-intercept b = -21 is:[tex]y=mx+b\\y=3x-21[/tex]
So, equation of a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1 is [tex]\mathbf{y=3x-21}[/tex]
. Eleanor earns $9.00 per hour. She worked 37 hours from Monday to Friday. What were her total wages?
Answer:
$333
Step-by-step explanation:
As, the total hours Eleanor works = 37
And per hour he gets = $9
So the total wage her gets = $9 x 37
= $333
I need helpppp plsssss
9514 1404 393
Answer:
33, 27285Step-by-step explanation:
The price difference is found by subtracting Emma's price from DeShawn's price. Each price is the product of the number of square feet and the price per square foot.
The number of square feet is already given in the answer form, so you only need to fill in the per square foot prices. Those are found in the table. Both the window name and the window area give clues as to which is the right price to choose.
The expression is (4² × 33) - (3² × 27).
__
For the second fill-in, you need to actually do this arithmetic. For many calculators, you can enter this expression directly.
DeShawn paid $285 more for his window than Emma.
The age and hourly pay of five employees at a store are shown in the table.
Age
Hourly Pay
($)
16
10
18
10.25
18
12.50
20
14
22
15
A line of best fit for the data is y = 0.9x – 4.5, where x represents age, in year
Answer: I think its $18.00
Step-by-step explanation:
0.9*25-4.5= 18
Does anyone know what 98x1892 is? I’m to lazy to solve and my head hurts sooo bad please help! And we can’t use calculators we have to have our cams on !
Answer:
Step-by-step explanation:
185416
Answer:
185,416 this is the answerr
How can you tell the difference between a strong linear association and a weak linear association?
The perimeter of a rectangular parking lot is 332 m.
If the length of the parking lot is 95 m, what is its width
The average athlete is able to begin activity 90 days after having a knee operation. The standard deviation is 20 days. Sixty-eight percent of athletes are able to participate within how many days? Round to the nearest day.
Answer:
99
Step-by-step explanation:
The mean = 90 days
standard deviation = 20 days
P(Z < z) = 68 %
getting the value of z-score from the standard normal table of 0.68
z = 0.47
P(Z < 0.47) = 0.47 * 20 + 90 = 99
Which equation has the correct sign on the product
Please help me with this question I would will appreciate.
Answer:
B
Step-by-step explanation:
A store used to sell an MP3 for $72which is 50% more than the wholesale cost. At a special holiday sale, the price of the MP3 was 20% less than the wholesale cost. What was the special sale price of the MP3?
Answer:
$115.2
Step-by-step explanation:
Step one:
Given data
A store used to sell an MP3 for $72 and we are told that this 50% of the wholesale price.
Therefore the wholesale price is
72*2= $144
Required:
The special sales cost at 20% discount
Step two:
We are told that the special sale is at a 20% discount on the wholesale
= 20/100*144
=0.2*144
=$28.8
Therefore the special sales price is
= 144-28.8
=$115.2
A right triangle has side lengths a, b, and c as shown below.
Use these lengths to find sinx, tanx, and cosx.
Help plsss
Answer:
Step-by-step explanation:
The value of sinx=c/b, cosx=a/b and tanx=c/a.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
Given that, a right triangle has side lengths a, b, and c.
We know that, sinθ=Perpendicular/Hypotenuse, cosθ=Base/Hypotenuse and tanθ=Perpendicular/Bse
From the figure,
sinx=c/b, cosx=a/b and tanx=c/a
Therefore, the value of sinx=c/b, cosx=a/b and tanx=c/a.
Learn more about the trigonometric ratios here:
brainly.com/question/25122825.
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Find the slope, or rate of change, from the graph.
answer please correct answers
Answer:
3/2
Step-by-step explanation:
slope is rise over run
or y change divided by x change
to find the slope you need to find points on the graph that meet exact points on the graph
i see (0,0) and (4,6)
to find slope without graph it would be (y2-y1)/(x2-x1)
in this case (6-0)/(4-0)
=6/4
=3/2
=1 1/2
with graph you can count that it goes up 3 squares while moving two squares to the right
3/2
hope this helps
help guys pls i dont know
what to do
How to Find the Mean. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Median
Arrange your numbers in numerical order.
Count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.
HELP ITS DUE TODAY! photo attached.
Answer:
360 for first place and 240 for second
Step-by-step explanation:
Let's say f is the first place prize, and s is the second prize.
Amaal: 4f + 2s = 1920
Brian: f + 3s = 1080
Now we can isolate and substitute.
f = 1080 - 3s
4(1080 - 3s) + 2s = 1920
4320 - 12s + 2s = 1920
10s = 4320 - 1920
10s = 2400
s = 240
f = 1080 - 3*240
= 1080 - 720
= 360
The sun’s mass is 1.998 * 10^30 kg. Saturn’d mass is 5.69 * 10^26 kg. How many times as great as the mass of Saturn is the mass of the sun? Show your work using scientific notation
Answer: The mass of the sun is 3.51 x 10^3 times greater.
Step-by-step explanation:
X= Mass of Sun/ Mass of Saturn
X= 1.998 x 10^30 / 5.69 x 10^26
1.998/ 5.69 = .351
10^30 / 10^26 = 10^4
You want to move the decimal a value so you would subtract 1 from 4
3.51 x 10^3
The mass of the Sun is 3.511 × 10³ (in scientific notation) times more than the mass of Saturn.
What is division?The division means the separation of something into different parts, sharing of something among different people, places, etc.
The sun’s mass is [tex]1.998 * 10^{30}[/tex] kg.
Saturn's mass is [tex]5.69 * 10^{26}[/tex] kg.
Let the mass of the Sun be X times more than the mass of the Saturn mass.
The equation that can be written as
1.998 × 10³⁰ = X × 5.69 × 10²⁶
On simplifying, the value f X will be
[tex]\rm X = \dfrac{1.998 * 10^{30}}{5.69*10^{26}}\\\\X = 3511.42 \\\\X = 3.511 * 10^3[/tex]
The mass of the Sun is 3.511 × 10³ (in scientific notation) times more than the mass of Saturn.
More about the division link is given below.
https://brainly.com/question/369266
will give brainliest !please help
4b+7b+5
Answer:
Terms = 4b , 7b , 5
coefficient = 4 , 7
constant = 5
Step-by-step explanation:
Please look at this picture because inside there have explain about your questions,,,and hope you understand ☺️
Plz help due tomorrow
Answer:
option 1
Step-by-step explanation:
Combine like terms
[tex]1 + 4.25n + \frac{3}{2}p - 3 + (-2p) + \frac{5}{4}n=1 - 3 + 4.25n +\frac{5}{4}n+\frac{3}{2}p+(-2p)\\[/tex]
[tex]= -2 + 4.25n + 1.25n + \frac{3}{2}p-\frac{2*2}{1*2}p\\\\= - 2 + 5.5n +\frac{3}{2}p+\frac{4}{2}p\\\\= -2 + 5.5n +\frac{3-4}{2}p\\\\= - 2 + 5.5n -\frac{1}{2}p\\\\= 5.5n - \frac{1}{2}p - 2[/tex]
Please help with this 1 question! -3-||
Answer:
2400
Step-by-step explanation:
half of 4800 is 2400
Answer:
Step-by-step explanation:
First we need to cross multiply ok?
[tex]100 times x=4800times50[/tex]
[tex]100x=240000[/tex]
Divide 100 both sides
[tex]x=2400[/tex]
Hence your answer is 2400, hope this helps :)
Fine c. Round to the nearest tenth
Answer:
14.9
if you need it
side a is 24.04867
9514 1404 393
Answer:
c ≈ 14.9 cm
Step-by-step explanation:
I personally like to use a proportion that has the unknown in the numerator. The angle opposite c is ...
C = 180° -150° -12° = 18°
Then the law of sines tells us ...
c/sin(C) = b/sin(B)
c = sin(C)·b/sin(B) = sin(18°)/sin(12°)(10 cm)
c ≈ 14.9 cm
Give the domain and range.
On a coordinate plane, points are at (negative 3, 3), (0, 0), and (3, 3).
a.
domain: {3, 0, 3}, range: {3, 0}
b.
domain: {–3, 0, 3}, range: {0, 3}
c.
domain: {3, 0, 3}, range: {–3, 0}
d.
domain: {3, 0, 3}, range: {0, 3}
Answer:
domain:(-3,0,3),range:(0,3)
The domain and range of the coordinate points (- 3, 3), (0, 0), and (3, 3)
are b. domain: {-3, 0, 3}, range: {0, 3}
What is the domain and range of a function?Suppose we have an ordered pair (x, y) then the domain of the function is the set of values of x and the range is the set of values of y for which x is defined.
Given, A set of domains and ranges in roaster form the points(x, y) are
are at (- 3, 3), (0, 0), and (3, 3).
Now we know the domain is the set of all x values.
∴ domain {- 3, 0, 3}.
The range of the set are the set of all y values they are,
{0, 3} and co-domain is {3, 0, 3}.
learn more about the domain and range a function here :
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