========================================================
Explanation:
i = sqrt(-1)
Lets list out the first few powers of i
i^0 = 1i^1 = ii^2 = -1i^3 = i*i^2 = i*(-1) = -ii^4 = (i^2)^2 = (-1)^2 = 1By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.
For example, i^5 = i^1 because 5/4 leads to a remainder 1.
Another example: i^6 = i^2 since 6/4 = 1 remainder 2
Again, we only care about the remainder to find out which bin we land on.
-------------
Turning to the question your teacher gave you, we have,
739/4 = 184 remainder 3
So i^739 = i^3 = -i
-i is the final answer--------------
Side notes:
if i^a = i^b, then a-b is a multiple of 4Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.what would the algebraic expression be for the product of 3 and x increased by 20
Answer:
3x + 20
Step-by-step explanation:
Product is for multiplication therefore, the product of 3 and x is 3x.
increased = addition
Overall, the product of 3 and x increased by 20 is 3x + 20.
x - 9 = 1/4x + (1/4x + 12) +(1/4x - 3)
Answer:
x=72
Step-by-step explanation:
x-9=3/4 ⋅ x+9
1/4 ⋅ x -9=9
1/4⋅x=18
x=72
4x+y=0 2x-y=-12 how many solutions does this problem have? No solution, one solution, or infinite solutions
Find the area of the shape shown below.
Answer:
28
Step-by-step explanation:
If triangle ABC is reflected across the x-axis, what are the coordinates of point A’? (, )
Answer: I don't really know because there is no picture of what coordinate A was before it was reflected across x-axis.
Please help me im begging you
Answer:
i think its D but sorry if im wrong !! <3
Step-by-step explanation:
Answer: 6⅝ subtract 2½ or rewrite the equation as 6⅝ subtract 2 ⁴/8 same thing :)
Whole numbers: 6-2 = 4
⅝- ⁴/8 = ⅛
Step-by-step explanation:
The answer is 4 ⅛ :)
Last week, Brenna's Ice Creamery sold 34 sundaes with nuts and 16 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answer:
17/8
Step-by-step explanation:
34/16 simplified is 17/8
Answer:
17/8
Step-by-step explanation:
wn won
34 16
34/16
factors of 34 and 16 are 2
34 / 2 = 17
16 / 2 = 8
simplified, 17/8
The graph of y=f(x) is shown below. Find all values of x where f(x)=5
=======================================================
Explanation:
Refer to the drawing below. Locate 5 on the y axis. Draw a horizontal line extending as far as you can to the left and right.
This horizontal line crosses the parabola in two locations. From those two locations, drop a vertical line straight down until you reach the x axis. You should reach x = -4 and x = -6
This shows that f(-4) = 5 and f(-6) = 5.
Phrased another way: the points (-4,5) and (-6,5) are on the parabola.
cos^-1(cos 43°)
PLEASE HELP ME
[tex] \: \: \: \: \: [/tex]
[tex] = \cos(1) \cos(43°) \\ \\ in \: \: alternate \: \: form \: \\ \\ = 0.395152[/tex]
Step-by-step explanation:
[tex] \cos( - 1) ( \cos(43°)) [/tex]
simplify the expression usiNg the symmetry of trigonometry[tex]= \cos(1) \cos(43°) \\ \\ \\ or \: \: in \: \: alternate \: \: form \\ \\ = 0.395152[/tex]
hope it helps[tex]\cos^{-1}(\cos 43^{\circ})=43^{\circ}\\\\\\\text{In radians,}~~ \dfrac{43\pi}{180}[/tex]
The following angles are
Supplemnetary
Linear Pair
Adjacent
Vertical Angles
[tex]\huge \bf༆ Answer ༄[/tex]
The shown pair of Angles are known as Adjacent Angles, because they have one Arm in common.
can someone help me
question down below
Answer:
N||M, K||J
Step-by-step explanation:
N and M are both parallel to each other and || symbolizes that, same goes for K and J
A business woman bought a stove for $1209.calculate the selling price of the stove if she made a profit of 11%. (B) the stove was damage in transporting it to the customer . determine the selling price of the stove if she incurred a loss of 8% on the cost price
Answer: Look below
Step-by-step explanation:
10% = $120.90
1% = $12.09
11% = $132.99
$1,209 + $132.99 = $1,341.99
She made a $132.99 profit or $1,341.99
—————————————————————
8% = 96.72
$1,341.99 - $96.72 = $1245.27
————————————————
Or if it is $96.72 off the price she bought it then it would be
$1,209 - $96.72 = $1,112.28
Find the recursive definition of the following sequence (Remember to define the first term t, the recursive rule to find tn,and the value n will start at) 120, 60, 20, 5, 1
Answer:
t[1] = 120; t[n] = t[n-1]/n, n ≥ 2
Step-by-step explanation:
The first two terms have a ratio of 1/2. The next two terms have a ratio of 1/3. The terms after that have a ratio of 1/4. It seems that the divisor increases as n increases. In fact, the n-th term is the previous one divided by n.
The first term is 120, so ...
t[1] = 120
Using the above-described rule, ...
t[n] = t[n-1]/n . . . . for n ≥ 2
what is x and what is y?
Step-by-step explanation:
i hope the illustrations are clear
solve 4x-y=-5 -2x+3y=10
Answer:
(x,y) =(7/2,4)
please help me!
ty :)
Answer:
slope: -4
Step-by-step explanation:
the formula to finding slope using two points is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
so insert the x- and y- values into the formula. you'll get:
[tex]m=\frac{-11-9}{3-(-2)}=\frac{-20}{5}=-4[/tex]
The quotient of triple a number less four and five equals two. What is the number?
Answer:
14/3
Step-by-step explanation:
The quotient of triple a number less four and five equals two. What is the number?
"triple a number" means 3x, if we say x is the "number"
"triple a number less four" means (3x-4)
"quotient of [triple a number less four] and five equals two." means
(3x-4)/5 = 2
3x-4 = 10
3x = 14
x = 14/3
===
Does ((14/3)3 - 4)/5 = 2 ???
(14 - 4)/5
10/5 = 2 YES
What is the number?
THE WHOLE THING ALL OF IT PLEASE I WILL MAKE U BRAINLIEST!!
Answer:
3x+8=17 2x+8=2(x+4) x+4=x-4
3x=17-8 2x+8=2x+8 No solution
3x/3=9/3 All Real numbers
x= 3
infinitely many solution
Q2) It means this equation has no answer to it and no solution
Q3) x+ 4=x-4 has no solution
Q4) It means that it has many answers to it and many steps to it to get the answer
Q5) By doing the answer for example 3x+9=17 it has many solutions and we can get the answer by
What is the value of x?
A. 73°
B. 71°
C. 70°
D. 68°
We have: 540° = 180° - x° + 180° - 52° + 93° + 180° - (x+3)° + 180° - 78°
⇒ 2x° = 140° ⇒ x° = 70°
The answer is C. 70°
ok done. Thank to me :>
What time is four past eight at night
Answer:
8:04 pm
Step-by-step explanation:
Answer:
8:04
Step-by-step explanation:
8 o'clock and four minutes past 8 is 8:04.
anish spend 1/5 of 4000 and Anil spend 1/3 of 4500.who spend more and by how much
Answer:
Anil
Step-by-step explanation:
This is because 1/3 is greater then 1/5
slopeeeeeeeeeee please help me someone no bots
Answer:
5) -2
6) 1
7) -4/3
8) I'm not sure for this one
9) 8
10) 9/5 i think
1) A
2) D or A
3) C
4) A
Step-by-step explanation:
Slope intercept form: y = mx + b, and m is the slope, and b is the y-intercept
What is the domain of the equation shown in the graph?
Question options:
All real numbers
x= ≤ -1
x≥-1
x≤0
Answer:
All real numbers.
Step-by-step explanation:
The domain is the range of values of x.
The graph goes on without bounds to - infinity and positive infinity.
Isosceles & Equilateral Triangles
solve for x & then solve for y *
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.
FREE BRAINLESS THE FIRST PERSON WHO ANSWER THIS
leo spends $5 per week on music. write an equation that equation that determines the dollars spend D per week.
A. d=5w
b. d=5+w
c. w=5d
d. w=5+d
someone help me asap
Answer:
-9
Step-by-step explanation:
find the slope of the line that passes through the pair of points (3,-5), (-4,1)
Answer:
-6/7
Step-by-step explanation:
y2 - y1 / x2 - x1
-5 - 1 / 3 - -4
-6 / 7
Which of the following is equal to [(x2y3)-2/(x6y3x)2]3 ?
Answer:
a=√x3y5 or a=−√x3y5
Step-by-step explanation:
Answer:
A, B & D
Step-by-step explanation:
Just did it on Edge
The rainfall recorded in a certain city is given below. Calculate the average rainfall. 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm and 4.34 cm.
if you answer then i will mark you brainliest!!!
Answer:
3.4 cm
Step-by-step explanation:
average is the sum of all the values then divided by the number of values.
The average rainfall for the given values is 3.40 cm while The rainfall recorded in a certain city.
The average rainfall can be calculated by adding up all the recorded rainfall values and then dividing the sum by the number of values.
Let's calculate the average rainfall for the given values: 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm, and 4.34 cm.
Step 1: Add up all the values: 2.54 cm + 1.75 cm + 3.05 cm + 5.00 cm + 3.72 cm + 4.34 cm = 20.40 cm
Step 2: Divide the sum by the number of values (which is 6 in this case): 20.40 cm / 6 = 3.40 cm
Therefore, the average rainfall for the given values is 3.40 cm.
To know more about average here
https://brainly.com/question/130657
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14. Complete the table below to represent y = 0.25x + 3.
Then draw a graph to represent the relationship between
the x and y-values.
Answer: 3 is the y intercept; so it will touch the y axis at 3, and 0.25 is the slope of the line
Step-by-step explanation:
go to desmos. com/calculator and put that equation, if you are having a hard time visualizing it.