Answer:
where i^2 = -1 (minus one)
So, i^2 = -1
i^4 = (i^2)^2 = (-1)^2 = -1 X-1 = 1
like ;
i^32 = (i^2)^16 = (-1)^16 = -1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X
= 1
Step-by-step explanation:
The equivalent to the complex number i³² is 1.
What is a complex number?A complex number is a component of a number system that includes the imaginary unit, represented by the letter i as an extension of the real numbers.
Given:
i³²
As we know that i² = -1
The i³² can be written as,
(i²)¹⁶
Put the value of i² = -1
(-1)¹⁶
As the power is an even number, so the result will be a positive number,
i³² = (-1)¹⁶ = 1
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What are the steps I need to solve this problem? 2x + 5 = 21
Step-by-step explanation:
subtract 5 under itself and 21 , then cross out the 5 and only subtract 21 and 5 which is 16 and then bring down 2x so now your equation will be 2x=5 so now your gonna divide 2 and 5
Someone please help me and thank you:)
Answer:
D
Step-by-step explanation:
Answer:
n+4=32 models this scenario.
This is because n+4 would show how many students are originally in the class.
Let me know if this helps!
HELP ASAP PLS!!
what is composite area?? How do we use it in the real world???
Answer:
A composite figure (or shape) is one that can be separated into more than one of the basic figures. Examples of using it in the real world is building cars or houses.
Logan is going to invest $61,000 and leave it in an account for 20 years. Assuming
the interest is compounded continuously, what interest rate, to the nearest
hundredth of a percent, would be required in order for Logan to end up with
$103,000?
Answer:
its 2.62
Step-by-step explanation:
Answer:
its 2.62
Step-by-step explanation:
Nolan invested $5,300 in an account paying an interest rate of 3.8% compounded
annually. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest tenth of a year, for the value of the account to reach $6,880?
HELP
Answer:
7
Step-by-step explanation:
did the question
The amount of money would be $6,880 in the account after 7 years.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A = P(1+r/100)ⁿ
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
Given data as follows:
p = $5,300
r = 3.8%
A = $6,880
A = P(1+r/100)ⁿ
Substitute the values of p,r, and A in the formula,
6,880 = 5,300(1 + 3.8/100)ⁿ
6,880/5,300 = (1 + 0.038)ⁿ
1.2981 = (1.038)ⁿ
n = 6.9954
Rounded to the nearest digit, and we get
n = 7
Therefore, the amount of money would be $6,880 in the account after 7 years.
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Rebecca buys some socks that cost $5 per pair and 2 t-shirts that cost $12 each. The cost of Rebecca’s total purchase is $39.
Answer:
3 pairs of socks
Step-by-step explanation:
2 shirts *12per shirt = $24 spent so far
$39 - $24 dollars spent so far = $15 dollars left
$15 dollars left/$5 per pair of socks = 3 pairs of socks.
An equation is formed of two equal expressions. The total number of socks that Rebecca bought is 3.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of pairs of socks that Rebecca bought be represented by x.
Given that Rebecca buys some socks that cost $5 per pair and 2 t-shirts that cost $12 each. Also, the total purchase value is $39. Therefore, we can write the equation as,
Purchase value of socks + Purchase value of t-shirts = Total purchase value
($5 × x) + ($12 × 2) = $39
5x + 24 = 39
5x = 39 - 24
5x = 15
x = 15/5
x = 3
Hence, the total number of socks that Rebecca bought is 3.
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True or false - The only way to charge an object with static electricity is by rubbing it against another object.
Answer:
This is false
Step-by-step explanation:
geometry question pls help!!!
Answer:
First option is the correct answer
Step-by-step explanation:
Multiply the area of the circle by [tex] \frac{360\degree - x}{360\degree} [/tex]
helpppppp ill give brainliest answer if you know
Answer: 522.67 mm^3
Step-by-step explanation:
use formula
Both Amy and Ed travel 100 miles to their destination. They begin at the same
time, but Amy drives at 50 miles per hour and Ed drives at 40 miles per hour.
How much sooner will Amy arrive to the destination than Ed?
Answer:
Since there are two cars, each car, then, drove 104/2 = 52 miles. But one car is traveling 8 miles per hour faster.
Step-by-step explanation:
10. Ayden travels from Orlando to Tampa to see his grandparents. If the trip is 897,600 feet round trip, how many miles does Ayden travel one way? A 85 miles B 170 miles C 255 miles D 340 miles 11. Jason bought 4.5 kilograms of cream me of cream?
ANSWER ONE OF THESE FAST PLEASE!!!
Answer:
x7
Step-by-step explanation:
Change 79/3 into a mixed number
Answer:
26 1/3
Step-by-step explanation:
I simplfied 79/3 on paper :)
how do i solve this and what is the answer?
Answer:
I totally get why you are asking , how do I solve this. there is so much implied about this
Step-by-step explanation:
1st you have to recognize that ∠ACB ( in my drawing ) has that same angle as the arc from A to B , so that's implied. next you have to recognize that the triangle formed by ACB with the 124 degree angle at C is an isosceles and therefore has identical angles at A and B so that's 180 = 124 + 2A , so A = 28° and so does B , then , b/c we know that small angle... you also have to know, that the line AC is perpendicular to AD. that they from a right angle and there for... you now know , that ∠BAD is the other part of that 90 or 90= 28 + ∠BAD so ∠BAD = 62°
I went through that kinda fast, there was several "leaps" of using logic to get to the correct answer , using things you know from prior understanding about angles , circles and geometry, you are putting all of the parts together here. :/ kinda daunting in some ways.
What are the known solutions to f(x)=g(x) ?
Select each correct answer.
A.1
B.3
C.5
D.7
E.11
Answer:
C IF NOT D
Step-by-step explanation:
Liam is setting up folding chairs for a meeting. If he arranges the ch
same length, he has 9 chairs left over. If he arranges the chairs in 2 rows of that same
length, he has 21 left over. How many chairs does Liam have?
Liam has
chairs.
Answer:
Step-by-step explanation:
This is the answer
Which is the smallest tow rope needed to pull an 8000 N pallet across a warehouse floor? Click the image to find the answer
10000 n
4000 n
24000 n
2700 n
Answer: force F = uN, u 0.34 and N = 8000 N also F = 2720 N, thus 4000 N is enough
It
Step-by-step explanation:
Answer:
10,000 i think....i hope this helps
Step-by-step explanation:
Find the measure of the supplement of a
16° angle.
Answer:
164
Step-by-step explanation:
Hey There!
If they are supplementary angles then they will add up to equal 180
So given one of the angles (16) we subtract that from 180 to find the value of the missing angle
180-16=164
Your answer is 164
Hope this helps :)
the actual weights of bags of pet food are normally distributed about the mean of 50.0 lb with a standard deviation of 0.2 lb.
1. About what percentage of bags of pet food weigh between 49.8 lb and 50.2 lb?
2. About what percentage of bags weigh less than 49.8 lb?
3. In a group of 250 bags, what percentage of bags would you expect to weigh more than 50.4?
9514 1404 393
Answer:
68%16%2.5%Step-by-step explanation:
1. The empirical rule tells you 68% of the distribution is within 1 standard deviation of the mean. The mean is 50 and the standard deviation is 0.2, so this means 68% of the bags weigh between 49.8 and 50.2 lb.
__
2. The other 32% is evenly split above and below the central part of the distribution. That is, about 16% of the bags will weigh less than 49.8 lb.
__
3. The percentage is independent of the size of the group. The empirical rule tells you 95% lie within 2 standard deviations of the mean. The other 5% will be evenly split between those weighing more than 50.4 and those weighing less than 49.6 lb. About 2.5% of the bags will weigh more than 50.4 lb.
_____
Additional comment
It is useful to remember the empirical rule numbers, 68%, 95%, 99.7% for the portion of the distribution between ±1, 2, 3 standard deviations of the mean. They are useful for answering questions like this one. (They are only approximations, so if more accuracy is needed, a table or app should be used to find the accurate value.)
14 + 6z - 10 + 9z equaled to?!
Answer:
4 + 15z
Step-by-step explanation:
Is your simplified expression.
Answer:
15z + 4
Step-by-step explanation:
6z + 9z = 15z14 - 10 = 4Put them together: 15z + 4I hope this helps!
Plz help me I need help with math plz anyone who good at math
Answer
6 is the correct answer.
Step-by-step explanation:
You need to know sin(60) = root(3)/2 = a/(4root(3)), then you can solve for 'a', get a = 6.
Write an equation of the parabola shown.
Answer:
y = 0.1(x + 5)² + 1.5
Step-by-step explanation:
Equation of a parabola having vertex at (h, k) is given by,
y = a(x - h)² + k
From the given graph, vertex of the parabola is (-5, 1.5)
Therefore, equation of the parabola will be,
y = a(x + 5)² + 1.5
Since, this parabola passes through a point (0, 4)
4 = a(0 + 5)² + 1.5
4 = 25a + 1.5
25a = 2.5
a = 0.1
By substituting the value of 'a' in the equation of the parabola,
y = 0.1(x + 5)² + 1.5
Mrs. Montgomery earns a 6.5% commission on her total sales. Last month, she had sales of $55,780,
How much commission did Mrs. Montgomery earn last month?
What was her total pay for the month?
Round your answers to two decimal places.
try using the steps in my question i have one just like you
Step-by-step explanation:
Due NOW!!! Please help!
Answer:
At x = 7 and x= 1
Step-by-step explanation:
Set each equation equal to 0 and solve.
x - 7 = 0
x = 7
x-1 =0
x = 1
40 QUESTIONS FOR JUST ONE QUESTION :) QUESTION 6
Answer: Credit to work in process invetory-assembly
Answer:
its C because it makes the most sense "Credit to work in process invetory-assembly."
Step-by-step explanation:
Factor the follow expression:
8x−10
Select one:
2(x−5)
2(4x−5)
8(x−10)
2(4x−10)
Answer:
2(4x-5)
Step-by-step explanation:
find the greatest common factor (biggest number that goes into 8 and 10)
it is two
divide both by two
put 2 on the outside to symbolize that you multiply the inside by 2
2(4x-5)
Answer:
[tex]2(4x - 5)[/tex]
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
[tex]gcf = 2[/tex]
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]2( \frac{8x}{2} - \frac{10}{2} )[/tex]
3) Simplify each term in parentheses.
[tex]2(4x - 5)[/tex]
Therefor, the answer is Option B.
21m42n32p10
Зm 21n16 р5
Simplify
Step-by-step explanation:
meh dont knowwhat is
6 over 9
and
11 over 88
Answer:
6 over 9 = 6/9 11 over 88 = 11/88 6/9 = 0.6667(repeating) 11/88 = 0.125
P.S. Dont fall for those link scams! ;)
Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D
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For now, take a crack at the toughest math problems known to man, woman, and machine.
The Collatz Conjecture. Dave Linkletter. ...
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The Large Cardinal Project.
Answer:
1
Step-by-step explanation:
Helpppppppppppppppp