The conjugate number of the complex number 21 - 20i will be 21 + 20i.
What is a conjugate of the complex number?The complex conjugate of a complex number is the number that has equal real and imaginary parts that are opposite in sign but equal in magnitude.
In mathematics, a complex number is a part of a number system that includes an element labeled I often known as the imaginary unit, and that extends the real numbers while satisfying the equation i2 = 1.
The given complex number is 21-20i. The conjugate complex number will be:-
21-20i = 21 + 20i
Therefore, the conjugate number of the complex number 21 - 20i will be 21 + 20i.
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**EXTRA POINTS**
Find the location of the point A after a translation of 9 units up
Answer:
(-1, 3)
because it goes up 9, -6+9 = 3
the original point is (-1, -6)
Answer:
it would be at. 3,-1 on the left top side on the plot
Is 2x+3y=24 proportional?
Answer:
no
Step-by-step explanation:
if you solved for 'y' you get y = -2/3x + 8 which means the y-intercept is 8 and in order for it to be proportional the y-intercept must be zero
A dice is rolled once What is the probability of NOT a 4? Your answer should be a fraction in simplest from
I need help with this please.I don’t understand it.
1. Estimate how many minutes you talk on your cell phone every month________(you can randomly pick) 2. Which plan above do you think will result in the cheapest plan for you? Why do you think so?
Problem 1
This answer will vary from person to person. And as your teacher says, you can also randomly pick a value if you aren't sure.
Let's say you spend an hour each day talking on your phone. This means voice calls and not texting. Video calling could also be part of voice calling, though it will depend on how your cell phone company structures the cell phone plan.
Anyways, let's go with 1 hour. This converts to 60 minutes.
If you talk for 60 minutes per day, then you spend 60*30 = 1800 minutes per month talking on the phone. This is an average value. I'm using 30 days per month.
Answer: 1800 minutes
=====================================================
Problem 2
For each of the 6 companies, form their respective equations
x = number of minutes
y = total cost per month
We get the following equations for each company:
Rogers (all day plan): y = 0.25xFido: y = 0.20xTelus: y = 0.35xRogers (MY5 Prepaid): y = 0.25x+20Bell: y = 0.10x+10Public Mobile: y = 0x+24 which simplifies to y = 24With those 6 plans in mind, we will plug x = 1800 into each equation
Doing so leads to...
Rogers (all day plan): y = 0.25x = 0.25*1800 = 450Fido: y = 0.20x = 0.20*1800 = 360Telus: y = 0.35x = 0.35*1800 = 630Rogers (MY5 Prepaid): y = 0.25x+20 = 0.25*1800+20 = 470Bell: y = 0.10x+10 = 0.10*1800+10 = 190Public Mobile: The monthly cost is $24 a month regardless of how many minutes you use. This is an unlimited minutes plan.So we can see that clearly Public Mobile has the lowest cost per month at $24 a month. The cost per minute of $0 means that we have unlimited minutes here. The other costs are really high and far from $24. The next smallest value is $190, which is far from $24.
Is Public Mobile always the best choice? It depends. Refer to the chart below (attached image) and you'll see that the yellow cells are instances when Public Mobile isn't the cheapest option. However, note how small x has to be for this to occur and note how the yellow cells don't show up very often. Sure we could make more yellow cells pop up if we used even smaller x values, but at a certain point, it's likely not to be realistic. Why have a cell phone plan if you don't use the minutes to talk on it? Of course, everyone is different.
Anyway, for the x value chosen in problem 1, the Public Mobile plan is the cheapest option at $24 per month.
Answer: Public Mobile
what is the slope of 5,1 and 9,4
Answer:
slope=3/4
Step-by-step explanation:
4-1
/ = 3/4
9-5
What is the area of triangle ABC? Round to the nearest tenth of a square unit. Triangle A B C is shown. The length of side A C is 10 and the length of C B is 13. Angle B A C is 64 degrees and angle A C B is 72 degrees. Trigonometric area formula: Area = 54.9 square units 58.8 square units 61.8 square units 64.1 square units
The area of the given triangle ABC is 61.8 Square units.
What is the area of a triangle?The entire area filled by a triangle's three sides on a two-dimensional plane is referred to as the triangle's area.
Given that, a triangle ABC. whose side AC is 10 and BC is 13. and two angles ∠ACB and ∠BAC are 72° and 64° respectively. since area of a triangle = 1/2 * multiple of two sides * sin(angle made by those side)
Hence,
area of triangle ABC = 1/2 * AC * BC *sin(∠ACB)
Area of the triangle = 1/2 * 10 * 13 * sin 72° = 61.8
Therefore, the area drawn by the given triangle ABC is 61.8 square units.
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The area of the triangle is A = 61.8 units²
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , length of side AC is 10 and the length of CB is 13.
Angle BAC is 64° and angle ACB is 72°
Now , the area of the triangle is A = ( 1/2 ) x Length x Base ( sin 72° )
A = 1/2 ( 10 ) ( 13 ) sin 72°
A = 61.8 units²
Hence , the area is A = 61.8 units²
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Can someone help me please ill give brainy
Answer:
f(x)=(x-3<1 is a slope: 0 and the y-int is (0,1)
f(x)=-5>4 is a slope: 0 and the y-int is (0,4)
hope this helps!!:)
Step-by-step explanation:
[tex]solve \: this[/tex]
.....................
Answer:
3 inches
Step-by-step explanation:
If we're gonna have some sort of increase each year, it's gonna pop up in our model attached to a variable, because it represents some kind of change, and variables can change. Looking at our equation, the 28.6 represents our starting point: the boy is 28.6 inches tall when he's 2 years old. The 3a term, then, represents the boy's increasing height each year. When he's 3 years old, a = 1, and so h = 3 + 28.6 = 31.6 inches. When he's 4, a = 2, and h = 3 + 31.6 = 34.6. The increase is always 3 inches.
A taxi driver charges $4.00 plus $2.00 per minute. How long was a ride that cost $16.00? Draw algebra tiles to model and solve the equation
Answer:
12
Step-by-step explanation:
Help Please & thanks!
Answer:
14 out of the total class of 35 are boys
Step-by-step explanation:
35 / 5 = 7
7 * 2 = 14
Ginny is making homemade pizzas for her family. The recipe makes 70 ounces of dough, but she made more that to ensure she had enough to feed everyone. She plans to freeze 28 ounces for next week, and the rest of the dough will be split evenly to make 3 pizzas. A. Write an inequality to represent the maximum weight of each pizza. Response area b. Each of Ginny's pizzas will weigh more than Response area ounces.
Answer:
14 ounce
Step-by-step explanation:
Given that:
Ounces of dough used in making recipe = 70 ounces
Number of ounces frozen = 28 ounces
Number of pizzas made from dough left = 3
Number of ounces left = total made - number frozen
Number of ounces left = 70 - 28 = 42
Weight of pizza made :
Number of ounces left / number of Pizzas made
42 / 3 = 14
Hence, maximum weight of each pizza made will weigh more than 14 ounces
1. The points on the number line represent the values of four different numbers.
Which point best represents the value of 3?
Help !!
Answer:
it’s point c
Step-by-step explanation:
it would be 1.7 and point C is closer to that than point B
Hence, point c represents 1.732.
What is line?It's a long, thin mark formed with a pen, pencil, or other tool.
A line in geometry:
• isn't crooked (no bends),
• lacks thickness
• and goes on forever in both directions (infinitely).
It's a "Ray" with one end and a "Line Segment" with two ends.
Try shifting points A and B around.
How to solve?We know that [tex]\sqrt{3} =1.7320[/tex]
Given point A,B,C,D hence clearly we can see that point c represents 1.7320...
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What is nearest $ 8.66 to nearest $
Answer:
$9 I think
Step-by-step explanation:
(hhhhhhhhaahahahahshshahahhaahaaaa
Answer:
$8.66 is rounded to $9
Step-by-step explanation:
When rounding a number, you round to the nearest whole number.
If the last digit is 5 or higher (5,6,7,8,9,) it rounds up
If the last digit is 4 or lower (1,2,3,4) it rounds down
Example:
$7.60 would be rounded to $8 because 6 is higher than 5, or in this case, 60 is higher than 50
$4.40 would be rounded to $4 because 4 is lower than 5, or in this case, 40 is lower than 50
Help me with this pls
Answer:
the diameter is 6 units
Step-by-step explanation:
3×2=6
PLEASE HELP AND HURRY
Answer:
4.75x=54+2.5x x=24
Step-by-step explanation:
x=Number of games
4.75x=54+2.5x
Subtract 2.5x from both sides:
2.25x=54
Divide both sides by 2.25:
x=24
Cheddar cheese costs $3.45 per pound. Which equation best represents the total cost, c, of pounds, p, of cheddar cheese?
Answer:
c = 3.45 * p
Step-by-step explanation:
Since the total cost of Cheddar Cheese is dependant on the number of pounds that are being purchased then to calculate the total cost we would need to multiply the price per pound by the number of pounds being purchased. Therefore, the following equation would best represent the total cost of the cheddar cheese...
c = 3.45 * p
PLEASE HELP THIS IS TIMED!!!!!!!!!!!!!!!!!!!! A gumball machine had 78 gumballs. Each person who put a coin into the machine gets 3 gumballs. After a certain number of people got gumballs, there were 54 gumballs remaining. Estimate how many people got gumballs out of the machine.
Answer:
8 people got gumballs out of the machine.
Step-by-step explanation:
Given that:
Number of gumballs in machine = 78
Number of gumballs on each coin = 3
Number of gumballs left = 54
Let,
x be the number of people who put coin
Gumballs left = Total gumballs - 3*Number of people
54 = 78 - 3x
3x = 78 - 54
3x = 24
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{24}{3}\\x=8[/tex]
Hence,
8 people got gumballs out of the machine.
Write the equation of the line that passes through the points (-7,0) and (-7, -8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Find the solution set of the following equations:
2y=2x+7
X=y+2
Answer:
The system of equations has no solution.
Step-by-step explanation:
Given the system of equations
2y = 2x+7
x = y+2
solving the system of equations
[tex]\begin{bmatrix}2y=2x+7\\ x=y+2\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}2y-2x=7\\ -y+x=2\end{bmatrix}[/tex]
Multiply -y+x=2 by 2: -2y+2x=4
[tex]\begin{bmatrix}2y-2x=7\\ -2y+2x=4\end{bmatrix}[/tex]
so adding
[tex]-2y+2x=4[/tex]
[tex]+[/tex]
[tex]\underline{2y-2x=7}[/tex]
[tex]0=11[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}2y-2x=7\\ 0=11\end{bmatrix}[/tex]
0 = 11 is false, therefore the system of equations has no solution.
Thus,
No Solution!
Can you guys please help me
Answer:
540 degrees if that's what your looking for.
Step-by-step explanation:
A square always equals 360 degrees while a circle is the same thing. take the half of the circle to get 180 then add them together to get 540
Are you sure about the answer?
Answer:
I guess! Sorry, which answer are you talking about?
Step-by-step explanation:
Answer:
WHAT ANSWER WHERE IS IT
Step-by-step explanation:
How can you use the relationship between side lengths to determine when 3 lengths form a triangle
HELP PLEASEE
Answer:
x+4=y+x
Step-by-step explanation:
A factory makes 640brushes in 4 hours.Does the equation y=150x model the number of brushes made each hour?
Answer:
No it doesn't
Step-by-step explanation:
The equation we have is
Y = 150x
We have x = 4 hours
This is a simple question. We have to plug in the x = 4 in the equation to find out if we would have 640 brushes. If y = 640, then it models it. But if y is not equal to 640, it doesn't.
So let's solve this to see for ourselves.
Y = 150(x)
We put the value of x
Y = 150(4)
Y = 600
So we can see that the equation does not model the number of brushes made each hour. This equation models 600 brushes and not 640.
What is 9736 multiplied by 704
Answer:
9736 times 704 is 6854144
Answer:
6854144
explanation:
One of the tokens for a board game is a circle with a radius of 15 millimeters. Which measurement is closest to the circumference of the token in millimeters?
Answer:
The circumference of the circle is approximately 92 mm
Step-by-step explanation:
For us to be given the radius of the tokens it is safe for us to make the assumption that the token is circular in shape. Thus, we can solve the problem using various theories in circle geometry.
We will use the circumference equation to estimate the circumference of the circle, assuming the value of π is = 3.14
The circumference of a circle can be given as 2 X π X radius
This will be 2 X 3.142 X 15 = 94.247 ≈92mm
Therefore, the circumference of the circle is approximately 92 mm
I need help ASAP look at the picture for the problem.
Answer:
28.65 yds (If you have to round do 29)
Step-by-step explanation:
a^2 + b^2 = c^2
14^2 + 25^2 = c^2
196 + 625 = 821
since c is squared you have to find the square root of 821
821 squared equals 28.65 yards
Find an ordered pair (x, y) that is a solution to the equation. -x+4y= 5
Please help me with this homework
Answer:
4^6
Step-by-step explanation:
Answer:
THE ANSWER IS 4^6
Explanation:
=4^(2×3)
=4^6
please help me please will give brainliest to anyone who is good
Answer:
There is no association
Step-by-step explanation:
Points do not follow a trend
Please mark Brainliest
Evaluate the expression when c = 4, d = 1 and e = 10.
d+18