Answer:
The answer for the first one is 1 and the second answer is 12i.
Step-by-step explanation:
The value of the given imaginary number i¹² will be 1 thus option (A) is correct.
What is a complex number?A complex number is the sum of a real number and an imaginary number.
The idea of a complex number has come by solving a quadratic equation that has root as negative under root.
If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).
The value of iota(i) is given as i = √(-1).
By the law of indices,
i¹² = (i²)⁶
⇒ (-1)⁶
Since the even exponents of a negative number give positive output thus (-1)⁶ = 1.
Thus, i¹² = 1
Hence "The value of the given imaginary number i¹² will be 1".
To learn more about complex numbers,
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Identify the property being illustrated.
6x + 7 = 7 + 6x
Answer:
Commutative property of addition
12x + 9 - 3x - 4. Please go fast!!!!
Answer:
9x +5
Step-by-step explanation:
combine like terms!
Which table of ordered pairs represents a proportional relationship?
Answer:
2nd one
For example 5 squared is 25, 7 Squared is 49, and 9 Squared is 81
6 + 4 x 3 +7}
Pls helpppp
Answer:
25
Step-by-step explanation:
none
Answer:
6+4×3+7=37
Step-by-step explanation:
6+4= 10
3x10=30
30+7=37
Find the number that should be added to the expression to make it a perfect square. k^2-5k
Answer:
25/4
Step-by-step explanation:
Nicole and her children went into a grocery store and she bought $6 worth of apples and bananas. Each apple costs $1 and each banana costs $0.50. She bought 4 times as many bananas as apples. By following the steps below, determine the number of apples, x,x, and the number of bananas, y,y, that Nicole bought.
Find the midpoint of the line segment with the given endpoints (-3,1 -2,8) (-4.92,-3.3)
Answer:
Step-by-step explanation:
(x₁ , y₁) = (-3.1 , -2.8) & (x₂ , y₂) = (-4.92 , - 3.3)
[tex]Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\\\=(\frac{-3.1-4.92}{2},\frac{-2.8-3.3}{2})\\\\\\=(\frac{-8.02}{2},\frac{-6.1}{2})\\\\\\=( -4.01 , -3.05)[/tex]
A dog walking along some train tracks meets a train every 4 minutes and the train catches up the dog every 12 minutes. Find the value of x if the trains leave the endpoint of the route every x minutes.
Answer and Step-by-step explanation:
Dog meets the train in = 4 minutes
Train catches up the dog in = 12 minutes
Let x be the time when train leave the route,
Train catch up the dog in 12 minutes, the endpoint of route is x and the dog meet up the train in 4min, so the equation becomes:
12 - x = 4
To find out the value of x, subtract 12 from both sides, we get
x = 4 – 12
-x = -8
Which gives x = 8, when train leaves the endpoint of route.
The sum of six number is 33. What is their mean?
Answer:
mean = 33/6 =5.5
Step-by-step explanation:
Mean = sum of numbers / the amount of numbers(like how many numbers are there)
Mean= 33/6
=5.5
So mean is 5.5
HELP I HAVE TO SUBMIT IN 1 HOUR
Answer:
Step-by-step explanation:
Volume = Base * height
V=2(7 1/3)
V=44/3 OR 14 2/3 Or 14.666
PLEASE HELP IF YOU KNOW
Your answer is going to be A
Step-by-step explanation:
As a child gets older, will they be able to solve a puzzle faster? What is the dependent variable?
Answer:
the dependant variable is the time
1-89. On graph paper, draw the quadrilateral with vertices A(–1, 3), B(4, 3), C(–1, –2), and D(4, –2).
Step-by-step explanation:
this is the answer
in graph
please mark me as the brainliest I really need it
Help quickly please hurry i am almost done
Answer:
Might be wrong but i got c( NOPE NOT C ITS A
Step-by-step explanation:
If I have a 9ft plank how many 3/4 pieces can I get
If the temperature in Texas dropped 35 degrees in 7 hours on Tuesday. What is the change over time?
Answer:
5 degrees every hour.
Step-by-step explanation:
35/7=5
Answer: 5
Step-by-step explanation:
35 degrees / 7 hours = 5 degrees per hour
if the population there increased by 15,183 people every week how many more people would be in Mexico city everyday?
Answer:
The answer is 2169
Step-by-step explanation:
You would do 15,183 x 7 because there are seven days in a week.
I need help and it’s due today
Answer:
5.63
Step-by-step explanation:
Angle NLM is equal to KLM - KLN.
Since KLM = 137° and KLN = 47°, NLM = °90. (Maybe it doesn't look like a right angle, but the math doesn't lie.)
Since NLM = 16y, then 90 = 16y.
Dividing both sides by 16, we find that:
y = 5.625
Answer:
y = 5.63
Explanation:
This answer is 5.23 because ∠KLN plus ∠NLM are equal to ∠KLM or 137°.
If you subtract 47 from 137 you will get 90. If you divide 90 by 16 you will get 5.625 which is rounded to 5.63.
Suppose a necklace is made from 18-karat gold and weighs 54 grams. Find the weight, in grams, of the pure gold in the necklace.
I work part time at a jeweler, that necklace would be worth about 3.3K and then also you didn't provide what the effect is. Wouldn't the necklace remain as 54 grams?
Find the distance of segment AB
A(-7,6) B(4,-2)
Answer:
13.6
Step-by-step explanation:
WILL AWARD BRAINLIEST. How many gallons of water fill a tank that is 16.5 ft long, 7.5 ft wide, and 8 ft high? Assume 1 ft3 is 7.5 gallons of water.
Answer:
7,425 gallons of water
Step-by-step explanation:
Given:
A tank of,
Length = 16.5 ft
Width = 7.5 ft
Height = 8 ft
1 ft³ = 7.5 gallons of water
Required:
Gallons of water that will fill the tank
SOLUTION:
Find the volume of the tank:
Volume of the tank = length*width*height
Volume = 16.5*7.5*8 = 990 ft³
Convert 990 ft³ to gallons of water:
1 ft³ = 7.5 gallons
990 ft³ = [tex] 990*7.5 [/tex]
= 7,425 gallons of water
7,425 gallons of water will fill the tank of the given measurement.
Amount of water in tank is 7,425 gallon
Volume base question:Given that;
Sides of tank = 16.5 ft, 7.5 ft, 8 ft
1 ft³ = 7.5 gallon
Find:
Amount of water in tank
Computation:
Volume of tank = [(16.5)(7.5)(8)]
Volume of tank = 990 ft³
Amount of water in tank = [Volume of tank][7.5]
Amount of water in tank = [990][7.5]
Amount of water in tank = 7,425 gallon
Find out more information about 'Volume'.
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There are 15 different pieces of cheese on the plate. Is it possible by dividing only one piece to divide all into two groups with equal weight and equal amount of pieces in each?
Answer:
It is possible.
Step-by-step explanation:
Each piece of cheese can be divided into two equal pieces.
Therefore, the 15 different pieces can produce 30 (15 * 2) equal pieces.
Then there will be 15 pieces in each group.
Provided during the division, it is ensured that equal weights were allocated to each piece, then each group will have the same weight as the other group.
Note that the division of the 15 pieces of cheese into two equal parts looks like the only way to have equal weight of two groups of the delicacy.
AVENGERS: The Avender movie made $1.6 million in ticket sales. Its sequel made $0.8 million in ticket sales. How much more than the first movie make than the sequel. (a) Write and equation and solve it (b) Write your answer in a complete sentence in context of the problem
Answer:
0.8 million
Step-by-step explanation:
0.8 million because the first movie made 1.8 mill iou on and the question is asking how much more the first one made than the second one.
Simplify to create an equivalent expression.
4(-15 – 3p) - 4(-p+5)
Choose 1 answer:
(Α)
-8p - 80
B
- 13p - 80
-8p + 80
8p - 80
Answer:
A) I got this question right on my assignment
regi received a 3.5 raise which raised his yearly income by $910. what is his new income?
Answer:
His new income is $26,910.
Step-by-step explanation:
As Regi has received an increase in his annual salary that has represented $ 910 in his payment, to determine his new salary the following calculation must be performed:
910 / 3.5 = 1% salary
260 = 1% salary
260 x 100 = previous salary
26,000 = previous salary
26,000 + 910 = current salary
26,910 = current salary
Therefore, his new income is $26,910.
evaluate 7m+2n-8p/n m=4, n=2, and p=1.5
Steps to solve:
7m + 2n - 8p/n
~Substitute
7(4) + 2(2) - 8(1.5)/2
~Simplify
28 + 4 - 12/2
~Simplify
28 + 4 - 6
~Add
32
~Subtract
26
Best of Luck!
Warren had d dollars. He bought 5 ice creams which cost x dollars each. How much money does he have left?
Answer:
The answer is: d-5x
Step-by-step explanation:
What I like to do is rewrite the problem with numbers instead of variables.
Example: Warren had 20 dollars. He bought 5 ice creams which cost 2 dollars each. How much money does he have left?
He has 20 dollars, 5x2=10 he spent 10$ on the ice cream so you have to subtract how much he had in the beginning to how much he spent, the answer with numbers would be: 20-5x2
With variables it would be d-5x
Please answer fast will make brainlest
Answer:
C
Step-by-step explanation:
What is another nonterminating decimal number that can not be written as a fraction?
Answer:
0.6066066606666066666...(increasing numbers of 6)
Step-by-step explanation:
One way to make a decimal non-repeating is to extend a pattern by one digit each time you write the pattern. That is the structure of the number Sophia and Nora are looking at. It is also the structure of the number in your question ...
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__
Any irrational number will have a non-repeating decimal: √2, for example.
You are the CEO of a big company. You are paid an annual salary, plus a bonus of the company's profits over $5,000,000,000. Consider the two functions: g(x) = x - 5,000,000,000 ; f(x) = 0.01x which of the following represents your bonus?
a. (g ⚬ f)(x)
b. (f ⚬ g)(x)
Answer:
(g ⚬ f)(x)
Step-by-step explanation:
(g ⚬ f)(x)