Answers
Answer:
[tex]{ \bf{b. \: \: {i}^{47} }}[/tex]
Step-by-step explanation:
[tex] {i}^{46} = ( {i}^{2} ) {}^{23} = - 1 \\ \\ {i}^{47} = (i)( {i}^{46} ) = ( - 1 \times i) = - i \\ \\ {i}^{48} = ( {i}^{2} ) {}^{24} = 1 \\ \\ {i}^{49} = (i)( {i}^{48}) = (1 \times i) = i[/tex]
Answer:
[tex]i^{46} = -i[/tex]
~~~~~~~~~~~~~~~~~~~
46/4 = 11 remainder 2 = [tex]-i[/tex]
47/4 = 11 remainder 3 = 1
48/4 = 11 remainder 0 = [tex]i[/tex]
49/4 = 11 remainder 1 = -1
Step-by-step explanation:
[tex]i = \sqrt{-1} = i[/tex] (remainder 0)
[tex]i^{2} = \sqrt{-1} * \sqrt{-1} = -1[/tex] (remainder 1)
[tex]i^{3} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1}= -1 * \sqrt{-1} = -i[/tex] (remainder 2)
[tex]i^{4} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1} * \sqrt{-1}= -1 * -1 = 1\\[/tex] (remainder 3)
[tex]i^{5} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1} * \sqrt{-1}* \sqrt{-1}= 1 * \sqrt{-1} = i\\[/tex] (remainder 0)
The pattern repeats every FOUR in the exponent
Related Questions
find the surface area of each figure. Round to the nearest tenth if necessary.
Answers
Answer: 318 km²
Let's find the areas of the triangles
Formula: base x height / 2
9 x 6 = 54
54/2 = 27
Multiply by 2 since there are two triangles (I know, we already got the areas from 9 x 6)
27 x 2 = 54
Now let's try to find the areas of all the rectangular sides
Formula: length x width
9 x 11 = 99
8 x 11 = 88
7 x 11 = 77
99 + 88 + 77 = 264
Add up all the areas
264 + 54 = 318
17. ralph is 3 times as old as sarah. in 4 years ralph will only be twice as old as sara will be then. find ralph’s age now.
Answers
Answer:
Sara is now 4, will be 8 in 4 years. Ralph is now 12, will be 16 in 4 years.
Will Mark Brainlest Help pls
Answers
Answer:
Hello,
[tex]\begin{bmatrix}-2&2\\3&5\\\end{bmatrix}\\\\[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}3&1\\-2&-3\end{bmatrix}+\begin{bmatrix}1&0\\0&1\end{bmatrix}\\\\\\\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}2&3\\5&7\end{bmatrix}-\begin{bmatrix}4&1\\-2&-2\end{bmatrix}\\\\\\A=\begin{bmatrix}-2&2\\3&5\end{bmatrix}\\\\[/tex]
If tanx+cotx=2 then Cosx =?
Answers
Answer:
sqrt(2)/2
Step-by-step explanation:
tan(x) and cot(x) are both 1 when x=pi/4 and since 1+1=2, then we just need to evaluate cos(pi/4) which equals sqrt(2)/2.
Determine the sum of the measures of the exterior angles of a convex hexagon (6-sided polygon). Question 1 options: 360° 540° 720° 1,080°
Answers
Answer:
360°
Step-by-step explanation:
The sum of the exterior angles of any polygon = 360°
The sum of the measures of the exterior angles of a convex hexagon will be 360°. Then the correct option is A.
What is a regular hexagon?The complete polygonal shape of a regular hexagon has six rotational symmetry and six equal angles. Any periodic polygon has symmetrical sides and angles on all vertices.
The external angle of the regular hexagon will be given as,
External angle = 360° / 6
External angle = 60°
Then the sum of the measures of the exterior angles of a convex hexagon will be
⇒ 60° x 6
⇒ 360°
The sum of the measures of the exterior angles of a convex hexagon will be 360°.
Then the correct option is A.
More about the regular hexagon link is given below.
https://brainly.com/question/1694257
#SPJ2
It's algebra I need help with 6-8/(-4) if you could please put the order of operations down to that would be so helpful.[tex]6-8/(-4)[/tex]
NO LINKS
Answers
Answer:
Step-by-step explanation:
Do the subtraction in the numerator first. 6 - 8 = -2. So now we have
[tex]\frac{-2}{-4}[/tex] negative divided by a negative is a positive and that fraction reduces to
[tex]\frac{1}{2}[/tex]
* if my savings of $x grows 10% each year how much money would i have in 1 year
I WILL MARK BRAINLIEST
Answers
Answer:
10/100*$x
Step-by-step explanation:
You will multiply the $x by 10%
A book store is selling 4 books for $10 as parr of its clearance sale.Regina has $28 to spend.At this rate regina can purchase how many books?
Answers
Answer: 8 books (She will also keep with her a balance of $8)
Step-by-step explanation:
Total amount of money = $28
Cost of 4 books = $10
Sets of books able to be bought with the money = 28/10
= 2 (Reminder will be 8)
Amount of books able to be bought with the money = 2 × 4
= 8 books
Regina can purchase 11 books when she has $28 to spend.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
A bookstore is selling 4 books for $10 as part of its clearance sale. Regina has $28 to spend.
Let's represent the number of books Regina can purchase x.
The total price for x books at the clearance rate is 10/4x = $2.5x
Since Regina has 28 dollars to spend, she can purchase :
⇒ x = 28/2.5
Apply the division operation, and we get
⇒ x = 11.2 books.
Therefore, she can purchase 11 books.
To learn more about the division operation click here :
brainly.com/question/25870256
#SPJ5
this math question is about logarithm
Answers
Answer:
(k+2h)/(k+h)
Step-by-step explanation:
log 6 12 = (log a 12)/(log a 6) ( Log base change property)
log a 12 = log a (3*4) = log a 3 + 2*log a 2 = k+2h
log a 6 = log a (2*3) = log a 3 + log a 2 = k+h
log 6 12 = (k+2h)/(k+h)
You have $95 in your bank account. Each week you plan to deposit $9 from your allowance and $10 from your paycheck. The equation b=95+(10+9)w gives the amount b in your account after w weeks. How many weeks from now will you have $220 in your bank account?
There will be $220 in the account after ___ weeks
Answers
Answer:
7 weeks
Step-by-step explanation:
b=95+(10+9)w
Combine like terms
b=95+(19)w
Let b = 220
220 = 95 + 19w
Subtract 95 from each side
220-95 = 19w
125 = 19w
Divide each side by 19
125/19 = w
6.578947368
Round up
After 7 week
I need a written response to solve all 4 steps
a. Find the slope of the line that passes through the points (2,-5) and (-2,3).
b. What are the slope and y-intercept of the equation 2x - 5y = -10?
c. Find the x value so that the line through the points (x,-9) and (0,1) has a slope of -4.
d. Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b.
Answers
Answer:
a. -2
b. s = 2 and y = -5
c. (2.5, -9)
d. -7x - 2
Step-by-step explanation:
a. In the image, I have used rise over run, which is -8/4 or -2.
b. slope formula is mx + b = y, where m is slope and b is the y-intercept. In the equation 2x - 5y = -10, 2 is the slope and -5 is the y-intercept.
c. Plug in all given numbers into an equation and the ones you do not have will be in the points you need it to be. Once you graph the equation you will receive (2.5, -9).
d. y = mx + b
5 = (-7)(-1) + b
5 = 7 + b
-2 = b
y = -7x - 2
Can anyone please help?
Answers
Answer:
i don't know
( lol )
heheeeee
write an equation for a line that is perpendicular to y=1/2x+6
Answers
Answer:
y= -2x+6
Step-by-step explanation:
General formula :
y=mx+c
m is the gradient
when finding when finding the perpendicular line of another line is will be the negative inverse of the gradient
The perpendicular line will have a gradient of -2 (the negative inverse of 1/2)
so
the line perpendicular to the equation y=1/2x+6
is y= -2x+6
Pleaseeeee help!!!!!!!!
Answers
Answer:
30
Step-by-step explanation:
The total number of people is
5+6+4+7+5+3 = 30 people
Answer:
30
Step-by-step explanation:
pizza:5+7=12
Burger:6+5=11
Other:4+3=7
Total:12+11+7=30
help pls and thank you :)
Answers
Answer: x+2y+6=0
Option 3
Explanation:
y = (-x-6)/2
2y = -x-6
x+2y+6=0
Must click thanks and mark brainliest
The student council needs to make a banner for the seventh-grade dance. The dance committee decides that the length of the banner will be 16 feet. What are the possible widths of the banner if the students can use no more than 40 square feet of material? Find the solution set of the inequality 16w ≤ 40 to solve the problem.
A rectangle with a length of 16 feet and width of w.
What are the possible widths of the banner if the students can use no more than 40 square feet of material?
at most 2.5 ft wide
less than 2.5 ft wide
at least 0.4 ft wide
no more than 0.4 ft wide
Answers
Answer: Choice A) at most 2.5 ft wide
Work Shown:
16w ≤ 40
w ≤ 40/16
w ≤ 2.5
This says that the banner must be at most 2.5 ft wide (choice A)
In other words, the largest the width can get is w = 2.5; we can think of this as the ceiling value.
Answer: its a
Step-by-step explanation:
brainly stop taking my answer down pls
A school store buys pencils in bulk and sells them to students for a small profit. The school pays $2.00 for 100 pencils and sells them for 10 cents each. How many pencils would they have to sell to make a $100 profit?
Answers
Answer:
1,000
Step-by-step explanation:
First, there are 10,000 cents in $100.
So divide 10,000 by 10. (because 1 pencil is 10 cents)
1,000.
I hope this helps!
pls ❤ and mark brainliest pls
Let f (x) = 3x + 1 and let g(x) = x - 1. Find (fog) (5)
0 0
O 15
O 4
O 7
Answers
Answer:
13
Step-by-step explanation:
(fog)=3(x-1)+1
ie puting the function of g in f
so (fog)= 3x-3 + 1= 3x-2
finding fog
(fog)(5)= 3(5)-2
ie sub stitute 5 in x
(fog)(5)=15-2=13
Find the value of z
A.110
B.141
C.80
D.100
Answers
Answer:
Option A 110degree is the answerExpress the following in the radian measure 240degree
, -315degree
, 570degree
Answers
-315°= -7π/4 radians
570°=19π/6 radians
A girl is 18 years younger than her mother. In 6 years time, the sum of their ages will be 54. How old is the girl now?
Answers
Answer:
12 yrs.
Step-by-step explanation:
let present age of girl=x
age of mother=x+18
after 6 yrs
age of girl=x+6
age of mother=x+18+6=x+24
according to the condition of question
(x+6)+(x+24)=54
2x+30=54
2x=54-30=24
x=24/2=12
If each month in a year was paired with all the possible numbers of days in the month will the result be a function? Explain
Answers
Using the function concept, it is found that the result would not be a function, as for each month, there would be multiple possible number of days.
What is the condition for a relation to represent a function?In a function, one value of the input can be related to only one value of the output.
In this problem, the input is the month and the output is the possible number of days in the month.
Since there is a month with either 28 or 29 days, and the other months have either 30 or 31 days, the are multiple outputs for each input, hence, the result is not a function.
You can learn more about the function concept at https://brainly.com/question/12463448
What is the solution to the system that is created by the equation y = - x + 6
Answers
Answer:
If you draw the graph of y = -x + 6 on the above graph the solution to system will be the coordinates of the point of intersection.
the equation of the line drawn above is y = 0.5x
so you can also find the solution by solving the system
y = 0.5x
y = -x + 6
0.5x = -x + 6
1.5x = 6
x = 6/1.5 = 4
and y = 0.5*4 = 2
The answer is (4, 2) - the third choice.
Step-by-step explanation:
Which number is in the middle of -7 and 15?
Answers
Answer:
the answer os eleven
Step-by-step explanation:
As oyu see the half way number is 4 higher that 7 and 4 lower than 15.
What do you know about the slope when X2 - X1 = 0 ?
A. The slope is undefined.
B. The slope is zero.
C. The slope is positive.
D. The slope is negative.
Answers
Answer:
B
Step-by-step explanation:
The slope is zero is the answer
Alex cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?
Answers
Answer:
61 seconds
Step-by-step explanation:
36 divided by 7 = 5.1 seconds so if you add 5 to 36 five more times you'll get the answer which is 61.
Help ASAP
√3 (5 + √2)
Answers
Answer:
5*sqrt(3)+sqrt(6)
Step-by-step explanation:
sqrt(3)*(5+sqrt(2))=5*sqrt(3)+sqrt(6)
Answer:
(5 x sqrt(3)) + sqrt(6)
Brainliest, please! (Almost an Ace!)
Step-by-step explanation:
Distribute the sqrt(3) through and get:
(5 x sqrt(3)) + (sqrt(3) x sqrt(2))
Next, we simplify.
(5 x sqrt(3)) + sqrt(6)
Select all decimals that are equivalent to
(
9
×
100
)
+
(
2
×
10
)
+
(
3
×
1
10
)
+
(
5
×
1
100
)
.
A.
92.35
B.
920.350
C.
902.35
D.
92.350
E.
920.35
F.
920.035 I really need help
Answers
Answer:
B, E
Step-by-step explanation:
( 9 × 100 ) + ( 2 × 10 ) + ( 3 × 0.10 ) + ( 5 ×0.01 ) = 920.35
A. 92.35
B. 920.350
C. 902.35
D. 92.350
E. 920.35
F. 920.035
PLEASE PLEASE HELP!!
(numbers in drop down menu are the same options for all of the x values)
Answers
Answer:
1) for -1 as x, k(x) would be -8
2) for -3 as x, k(x) would be -18
3) for 0 as x, k(x) would be -3
4) for 1 as x, k(x) would be 2
1. Find x.
Please help ASAP
Answers
Answer: 2.31
Step-by-step explanation:
