I guess I can give a brief overview and then you can decide if I should go deeper into these meaning and use.
Complex numbers are useful because in a lot of cases we need to use the square root of a negative number. Ex.
Solve the quadratic equation x^2+x+1=0
We have to use the quadratic formula since its not factorable.
x=[-1+-sqrt(1-4*1*1)]/2
x=-1/2 + or - sqrt(-3)
If we don't have imaginary numbers, we would be stuck because sqrt(-3) wouldn't exist as you cannot take the square root of a negative number.
But with complex numbers we can actually get the answer for that equation as
x=-1/2 + or - sqrt3*i
Which would give us a mean of using this answer to calculate further to get other needs depending on the problem you are solving. If complex number is not a thing, about half of our equations will have undefined answers.
Now conjugates is a more interesting one, on the surface level we are discussing here there is not much its used for except if you have a complex number as a root of a quadratic equation, then the conjugate of that complex number must also be a solution. Again if you want me to go a more in depth just comment down below, because I could write an entire essay on this topic :-)
What is "five thousand, six" in standard form?
Answer:
5,006 :)
Step-by-step explanation:
Work out the ratio of 40 centimetres to 2 metres give your ratio in its simplest form
Given:
Ratio of 40 centimeters to 2 metre.
To find:
The ratio in its simplest form.
Solution:
We know that,
1 m = 100 cm
2 m = 200 cm
We have, ratio of 40 centimeters to 2 metre.
[tex]Ratio=\dfrac{40\ cm}{2\ m}[/tex]
[tex]Ratio=\dfrac{40\ cm}{200\ cm}[/tex]
[tex]Ratio=\dfrac{40}{200}[/tex]
[tex]Ratio=\dfrac{1}{5}[/tex]
[tex]Ratio=1:5[/tex]
Therefore, the required ratio in the simplified form is 1:5.
Hi!!! CLICK HERE!!! please answer this question well :)) i'll try to give brainliest when i can! thanks guys.
Step-by-step explanation:
its too blurry I can't see the numbers
easy:
what is the surface area of the rectangular prism?
L times W times H= 3 cm times 2 cm times 4 cm
Answer:
l x w do the the math
Step-by-step explanation:
there
Answer:
u said free poinstt on that persons answer so Hi
Step-by-step explanation:
Solve the system by substitution.
y = -3x +4
y = 2
Answer:
(2/3,2)
Step-by-step explanation:
3*2/3+4
simplify 2=2
In a bag of marbles, 1/2 are red, 1/4 are blue, 1/6 are green and 1/12 are yellow. You pick a marble without looking. What color marble are MOST likely to be choose?
Answer:
Its red becasue 1/2 is greater than all of them
The most likely color of the marble that will be chosen is red.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
Number of red marbles in the bag=1/2
Number of blue marbles in the bag=1/4
Number of green marbles in the bag=1/6
Number of yellow marbles in the bag=1/12
Now,
To determine the most likely color of the marble that will be chosen, we need to calculate the probability of selecting each color. The probability of selecting a red marble is 1/2, the probability of selecting a blue marble is 1/4, the probability of selecting a green marble is 1/6, and the probability of selecting a yellow marble is 1/12.
To compare the probabilities, we need to find a common denominator. The common denominator for 2, 4, 6, and 12 is 12. So, we can rewrite the probabilities as:
Probability of selecting a red marble = 6/12
Probability of selecting a blue marble = 3/12
Probability of selecting a green marble = 2/12
Probability of selecting a yellow marble = 1/12
Since the probability of selecting a red marble is the highest among all the colors, it is the most likely color to be chosen.
Therefore, by probability the answer will be red marble.
Learn more about probability here;
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The heights of the three tallest boys in a fifth–grade class are 1.575 m, 1.526 m, and 1.474 m. Which is one of the three boys' heights rounded to the nearest hundredth of a meter?
answers
1.57 m
1.48 m
1.52 m
1.47 m
Answer:
D. 1.47
Step-by-step explanation:
Answer:
1.47
Step-by-step explanation:
The binomial (x+2) is a factor of ?
1). 2x^{2} -5+3
2). x^{2} +5x+18
3). x^{3} +5x^{2} + 18
4). x^{3} +5x+18
Answer:
4). [tex] x^{3} +5x+18 [/tex]
Step-by-step explanation:
The binomial (x+2) is a factor of [tex] x^{3} +5x+18. [/tex]
Since, (x + 2) is a factor.
So, x = - 2 is a root
Plug x = - 2 in [tex] x^{3} +5x+18 [/tex]
We find:
[tex] x^{3} +5x+18 [/tex]
[tex] =(-2)^{3} +5(-2)+18 [/tex]
[tex] =-8 - 10+18 [/tex]
[tex] = - 18+18 [/tex]
[tex] = 0 [/tex]
Since, at x = - 2 the value of the expression [tex] x^{3} +5x+18 [/tex] becomes zero.
Therefore, (x + 2) is a factor of [tex] x^{3} +5x+18 [/tex]
Hong Wu means what?
great ruler
leader of peasants
father of dynasties
vast military power
Answer:
Hong Wu means...
Step-by-step explanation:
The last one
Answer:
Its D
Step-by-step explanation:
24y-32 pls help ill give you 10 points
Answer:
8(3y-4)
hope this help :)
what's the value of x with 125° and 31°
Help me with this problem
Answer: x=60
Step-by-step explanation:
Hey! X would be 60 because the diagram on the left has proportions of 6/6. The diagram on the right has a porportion of x/60. We want the proportions to be equal so it has to be 60!
6/6 = 1
60/60 = 1 (they are now equal and have equal proportions!)
Which expression shows the result of applying the distributive property to 7(x + 11)?
Answer:
7x+77
Step-by-step explanation:
7(x+11)
=(7)(x+11)
=(7)(x)+(7)(11)
=7x+77
The equivalent expression from the distributive property is 7x+77.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression is 7(x + 11). From the distributive property, the expression will be calculated as:-
E = 7(x+11)
E=(7)(x+11)
E=(7)(x)+(7)(11)
E=7x+77
Therefore, the equivalent expression from the distributive property is 7x+77.
To know more about an expression follow
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Which graph represents the solution for the equation 1/2 x - 1 = -x + 2?
Answer:
b
Step-by-step explanation:
x=2
Answer:
b
Step-by-step explanation:
3(x-10)+7=10 then x is?
Answer:
x = 11
Step-by-step explanation:
3(11 - 10) + 7 =
3 + 7 = 10
hope this helped
the hypotenuse of a triangle is 17 yds long and leg one is 8yds long what is the length of leg two
Answer:
15
Step-by-step explanation:
8^2 + b^2 = 17^2
64 + b^2 = 289
289 - 64 = 225
square root of 225 = 15
PLEASE HELP!!! 7TH GRADE PRE ALGEBRA!!
WILL MARK BRAINLIEST IF CORRECT!
The areas of the squares adjacent to two sides of a right triangle are shown below.
35
units
2
35 units
2
50
units
2
50 units
2
?
units
2
? units
2
What is the area of the square adjacent to the third side of the triangle?
units
2
2
squared
Answer:
50 units.
Step-by-step explanation:
Becca solved the division problem 1.8 ÷ 0.3. Her work is shown below. Long division problem showing one and eight-tenths divided by three-tenths equals six-tenths Part A Use the drop-down menus to explain the mistake Becca made. Becca should have the dividend and the divisor by and moved the decimal point in the quotient to the .
Answer and Step-by-step explanation:
The complete options to choose from in order to explain her mistake are not shown, therefore I'll solve the problem generally.
To solve 1.8/0.3 easily we multiply but numerator and denominator by 10
(1.8*10)/(0.3*10) = 18/3 = 6
The dividend and the divisor should have been multiplied by 10 and the decimal point in the quotient should have been shifted to the right by Becca.
Both the dividend and the divisor must be changed such that there are no decimal places in the divisor before dividing decimals. Becca made a mistake by not taking this change into account.
Becca needed to multiply both the dividend (1.8) and the divisor (0.3) by 10 to get rid of the decimal places in order to divide 1.8 by 0.3 correctly. As a result, the issue would change to 18 3.
When the division is done properly, we see that 18 3 equals 6, leaving no residual.
Therefore, Becca made a mistake by failing to multiply both the dividend and the divisor by 10.
For similar questions on division
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Which simplified equation is equivalent to the equation shown below?
9+6x + 2x - 1 = 24
O A. 3x+3 = 24
B. 15x + 1 = 24
O C. 10+8x = 24
O D. 8+8x = 24
Please someone help me !!! Thanks
Answer:
hard to read, can you take another picture please?
Step-by-step explanation:
Jillian has a doctor appointment at 10:20 a.M. If she takes 1 hour and 25 minutes to shower and dress, 25 minutes to eat breakfast and 30 minutes to drive to the doctor's office, what time should she wake up?
Answer:
she wake up at 8:00 AM
Step-by-step explanation:
The time she should wake up is
If she takes 1 hour and 25 minutes for shower & dress
25 minutes for breakfast
30 minutes to drive
So total time she takes 140 minutes i.e. 2 hours 20 minutes
So she wake up at 8:00 AM
The same would be considered
Answer: 8:00 am
Step-by-step explanation: first you take 10:20 am, then you subtract 30min. then 25min. then an 1:25 you get 8:00am.
Decide if each expression is equivalent to 2^6 or 4^4
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{2^6 = 2\times2\times2\times2\times2\times2}\\\mathsf{2\times2\times2\times2\times2\times2}\\\mathsf{2\times2=4}\\\mathsf{4\times4\times4}\\\mathsf{4\times4=16}\\\large\mathsf{16\times4=64}\\\mathsf{2^6 = \bf{64}}[/tex]
[tex]\mathsf{4^4=4\times4\times4\times4}\\\mathsf{4\times4\times4\times4}\\\mathsf{4\times4=16}\\\mathsf{16\times16}\\\mathsf{16\times16=256}\\\mathsf{4^4=\bf{256}}[/tex]
[tex]\boxed{\boxed{\mathsf{Answer: 64\neq 256}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
need help on this question please help
Answer:
52
Step-by-step explanation:
Give Brainlest
Need a little with this math Question
Answer:
it would be the third one ( 0,3)
Can someone pleaseeee help and if you’re correct I’ll give u brainlist!
Answer:
Rotations, Reflections
Step-by-step explanation:
This is going to be our answer because we know that a figure has some kind of rotation.
A rotation is when a shape can be rotated in some way. A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection map every point of a figure to an image across a fixed-line.
So our answer would be Rotations, Reflections!
Hope this helps!
If it is correct please mark as Brainllest!
Have a good Day!
add 3 to h, then subtract 9 from the result
Answer:
3h-9
Step-by-step explanation:
you can't fit it into an equation because 1, i dont a image of it and 2, you can't subtract a number from a coefficient/variable
Solve for x 6 = 2( x + 0)
Answer:
x = 3
Step-by-step explanation:
Answer: x = 3
Step-by-step explanation:
Helpppppppp plssssssssssssss
Answer:
its the first one
Step-by-step explanation:
if the fractions have the same denominator, all you have to do is add the numerators across.
Answer:
A
Step-by-step explanation:
Slow down, take a breath.
All of the fractions have the denominator of 12 so you dont need to worry about finding a common denominator.
this is simple addition:
1+5+5=11, simple as that
i hope this helps u!
remember to stop and think,
pls give thx and brainliest
first to answer gets brainleist! and 15-20 points ! ! i only need answers no step by step
si juan tiene 7 manzanas y le da 5 a jose ¿cuantas manzanas le quedan a juan?
Answer:
2
Step-by-step explanation:
por que el le dio 5 manzanas a jose y le quedaron 2