Answers
Answer:
d)
[tex] {i}^{740} [/tex]
Step-by-step explanation:
i¹= i
i²= -1
i³= -i
i⁴= 1
i¹²⁴= i^(124 +0)
i^124 . i^0
i^(4×31) . i^0 = 1³¹. i^0
1.i^0= i^0
= 1
a) i^179= i^(176+3)
i^176 . i³ = i^(4×44) . i³
1⁴⁴. i³ = 1. i³
= -i
b) i^582 = i^(580 + 2)
i^580 . i²= i^(4×145) . i²
1^145 . i²= 1.i²
= -1
c) i^165= i^(164+1)
i^164 . i¹ = i^(4×41) . i¹
1⁴¹ . i¹ = 1.i
= i
d) i^740= i^(740+0)
i^740 . i^0 = i^(4×185) . i^0
1^185 . i^0 = 1. i^0
= 1
i¹²⁴= i^740 = 1
Related Questions
2. Find the equation of the perpendicular bisector of line PQ where the co-ordinates of P and Q are P (-2, 8) and Q (4,7)
Answers
Answer:
2y - 12x = 3
Step-by-step explanation:
gradient of line PQ= (7-8)/ 4+2
-1/6
gradient of perpendicular bisector of line PQ=
-1 ÷ -1/6
-1× -6
6
coordinates of the midpoint of line PQ
(-2+4)/2, (8+7)/2
(1, 15/2)
the perpendicular bisector passes through the midpoint of line PQ
Equation of the perpendicular bisector
y - 15/2 = 6(x - 1)
multiply through by 2
2y - 15 = 12(x - 1)
2y - 15 = 12x - 12
2y - 12x = 3
The body mass index, I, can be used to determine an individual's risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by
700W
the formula, or model, I=
where W= weight, in pounds, and H = height, in inches. Jerome is 70 inches tall. What weights will keep his body mass index
H2
between 20 and 28?
Answers
Using the BMI equation, it is found that weights between 139.4 and 195.2 pounds will keep his BMI between 20 and 28.
The BMI B, for a person of weight w(in pounds) and height h(in inches) is given by:
[tex]BMI = \frac{703w}{h^2}[/tex]
In this problem:
Height of 70 inches, hence [tex]h = 70[/tex].For a BMI of 20 inches, the weight is:
[tex]BMI = \frac{703w}{h^2}[/tex]
[tex]20 = \frac{703w}{70^2}[/tex]
[tex]w = \frac{20 \times 70^2}{703}[/tex]
[tex]w = 139.4[/tex]
For a BMI of 28 inches, the weight is:
[tex]BMI = \frac{703w}{h^2}[/tex]
[tex]28 = \frac{703w}{70^2}[/tex]
[tex]w = \frac{28 \times 70^2}{703}[/tex]
[tex]w = 195.2[/tex]
Weights between 139.4 and 195.2 pounds will keep his BMI between 20 and 28.
To learn more about the BMI, you can take a look at https://brainly.com/question/24457127
Select all the correct answers.
Which three equations are equivalent to 1 +3|x-21 = 16?
O
X-2 = -5 or x - 2 = 5
X=-3 or x = 7
O
|x+2) = 5
0
x+2 = -5 or x+ 2 = 5
0
O
x=3 or x= -7
O
| x-2= 5
Answers
Answer:
Select all the correct answers.
Which three equations are equivalent to 1 +3|x-21 = 16?
O
X-2 = -5 or x - 2 = 5
X=-3 or x = 7
O
|x+2) = 5
0
x+2 = -5 or x+ 2 = 5
0
O
x=3 or x= -7
O
| x-2= 5
Find the values of the variables.
isosceles trapezoid
Side measures are: 4, 2x, 2x + 2 and 4x +3
X=
Answers
Answer:
x = 1Step-by-step explanation:
Given isosceles trapezoid.
Its congruent sides are 4 and (2x + 2):
2x + 2 = 4Solve for x:
2x = 2x = 1help me out guys !!!!!!
Answers
Answer:
[tex]2\sqrt[3]{5}[/tex]
Step-by-step explanation:
40 = 8 x 5 and 8 is the cube of 2, so 2 goes on the outside but 5 can't be simplified
which inequality matches the graph?
A. x>4
B. x<4
C. x=4
D. x >4
Answers
Answer:
B
Step-by-step explanation:
The line goes left which means its going to be less than 4.
Answer:
[B] x < 4
Step-by-step explanation:
First you must know the following:
> ⇒ greater than
< ⇒ less than
≥ ⇒ greater than or equal to
≤ ⇒ less than or equal to
= ⇒ equal
When going to the left it means less than
Thus, we can conclude that
x < 4
Kavinsky
-2 1/5 - 1 3/10 help!!
Answers
How do you write 1.75 trillion, 1.75 quadrillion
Answers
Answer:
1) 1750000000000
2) 1750000000000000
Step-by-step explanation:
For definition of trillion and quadrillion.
40% of the plants in Marcy's garden are root vegetables. If 20 plants are root vegetables, how many plants are in Marcy's garden in all?
Answers
Answer:
dont do anything if im wrong but i thinks its 50 plants
Step-by-step explanation:
ELAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
Answers
(kx,ky)
Therefore just multiply each coordinate by the scale factor --> 2
Answer:
A (2,2) B (4, -2) C (-4,0)
Step-by-step explanation:
K = 2
K is the scale factor so the y and x distance between the points will double
just take to coordinates and multiply them by 2
A 1,1 new 2,2
B 2, -1 new 4,-2
C -2,0 new -4,0
Use the distributive property to write an experssion that is equalent to 10+15x
Answers
Answer:
5(2+3x)
Step-by-step explanation:
5 x 2 = 10
5 x 3x = 15x
10+15x
(PEMDAS)
Answer:
Step-by-step explanation:
im a boy
Pls help me its a little confusing
Answers
Answer:
the measure of x is 38
Step-by-step explanation:
180-134=46 the value of one side of a line is 180 degrees so to find the vaule of the inside angle we have to subtract 180 by the outside angle's
180-84=96
46+96=142 we then add the value's of both inside angles
180-142= 38
then we subtract that number by 180 because the total of all three angles of any triangle is always 180
Answer:
x = 38°
Step-by-step explanation:
Maths problem always go back to a number of foundational rules;
Once you recognise the ones that are relevant, you can then apply them to find the value or solution you want to find;
First thing is to look at the question and information provided in order to identify the relevant rules;
This question is asking for an angle and we can see a triangle (not a right-angle triangle) and line beneath it;
What rules should we think of with this in mind?
The following;
Angles in any triangle always add to 180°Angles on a straight line add to 180°Using these rules, we can find x;
Firstly, according to rule 2, we can find angle OLM:
134 + OLM = 180
OLM = 180 - 134
OLM = 46
Secondly, also according to rule 2, we can find angle OML:
84 + OML = 180
OML = 180 - 84
OML = 96
Lastly, according to rule 1, we can find angle x:
OLM + OML + x = 180
46 + 96 + x = 180
x = 180 - 96 - 46
x = 38
Someone please help me!
Answers
simplify\:\frac{\sqrt{5}}{\sqrt{3}}
Answers
[tex]\dfrac{\sqrt 5}{\sqrt 3} =\sqrt{\dfrac 53} \approx 1.291[/tex]
Hi guys can u guys help me add 322 + 12
Answers
Answer:
334 is the answer
Step-by-step explanation:
you add them together
Answer:
334 is the right answer
Step-by-step explanation:
please mark me brainliest
Order the numbers from least to greatest
Answers
Step-by-step explanation:
(| |) makes the number opposite
|10|=-10
|-3|=3
|0|=0
|-5.25|=5.25
Least to greatest
|10|, |0|, |3|, |5.25|
Let me know if there's any mistakes
ricky is a hardworking man who owns 6 hectares of land. in his will,he divided his lot equally among 7 sons. how much land will each of his son receive?
a. 0.68
b. 0.86
c. 68
d. 86
Answers
ricky is a hardworking man who owns 6 hectares of land. in his will,he divided his lot equally among 7 sons. how much land will each of his son receive?
a. 0.68
b. 0.86
c. 68
d. 86
Answer:-Given,Land owned by Ricky = 6 hectares
No. of sons = 7
Now,6 ÷ 7 = 0.8571429 or 0.86
→ Each son will own 0.86 hectares of land. Option b. 0.86 is the answer.
Please help solve this
Answers
Answer:
LCD= x²- 81
Step-by-step explanation:
x²-81 is difference of two squares
a²-b²= (a+b)(a-b)
x²- 81= (x+9)(x-9)
denominators, (x-9) and (x+9)(x-9)
x-9 is common in both denominators
x-9|(x-9)|(x+9)(x-9)
x+9| 1 | x+9
| 1 | 1
therefore the LCD= (x-9)(x+9)
simplifying= x²- 81
(3x - 4x - 2 + 3x - 6 = 180
7x – 8 =
Answers
2x - 8 = 180
If we add 8 to both sides, we get
2x = 188
And that means x = 94
If we substitute this into the second equation, we get
7(94) - 8 = ?
7 x 94 is equal to 658
658 - 8 = 650
I NEED HELP!!
If f(x) = x 3/2 , then f ' (4) =
A. -6
b. -3
c. 3
d. 6
e. 8
Answers
Answer:
f(x)=x(3/2)
f(4)=4*3/2
6
Today, both the soccer team and the basketball tear
had games. The soccer team plays every 3 days and the
basketball team plays every 5 days. When will both
teams have games on the same day again?
SHOW YOUR WORK PLEASE
Answers
Explanation
You have to find which multiple they have the same and that would be 15
3: 3, 6, 9, 12, 15, 18, 21 and so on
5: 5, 10, 15, 20, 25 and so on
Answer:3 to 5
Step-by-step explanation:i took the quiz
Which equation represents this line in point-slope form?
A.
`(y + 4) = (4)/(3) (x + 3)`
B.
`(y −4) = -(4)/(3) (x +3)`
C.
`y= -(3)/(4)x`
D.
`4y− 3x = 0`
Answers
Answer:
The Answer is Option A or Option B
Step-by-step explanation:
First let's review what point slope form is.
[tex]y - y 1 = m(x - x1)[/tex]
To take a line and put it into point slope form you need to identify one of the points. In this case the point is either (-3, -4) or (-3, 4) but without a graph attached I cannot personally say which one it is.
You will also need to identify the slope of the line (m) based on the graph, so identify if the graph is ascending or descending. This alone can determine your answer
Again, there is no graph provided so it is up to you to determine if it is Option A or B.
I really hope this helps and you have a great rest of your day!
Note: I am not a professional educator so take my opinion carefully.
=)
plss help me.......
Answers
Answer:
The slope
Step-by-step explanation:
HELP! ( MATH )
WILL GIVE BRAINILEST!
Question:
Graph the solution of the equation.
b – 5 = –8
Answers
Answer:
b = -3 so A is answer
good luck
Answer:
option C is the correct answer
Which of the following expressions is equal to the total investment of a no-load mutual fund?
a.
net assets ÷ number of shares
b.
net asset value ÷ number of shares
c.
net asset value x number of shares
d.
offer price x number of shares
Answer is C
Answers
If someone puts no job or social services on their rental application and yet they pay rent on time each month … they’re probably doing something illegal. Here in SoCal, if all they offer are 1099s as a “music producer” or other vague free lance type job, they might be dealers and you as the landlord are held to know that.
Answer:
C. net asset value x number of shares
Step-by-step explanation:
edge 2022
Your family has a total of 60 t-shirts and you decide to give some away. If 4 of the t-shirts are being worn right now, and there are 25 t-shirts left in the family's closets, how many t-shirts did your family give away?
Answers
31
If you had 60 t-shirts and wore 4 and had 25 you do 25+4=29 then you do 60-29 that =31 so you will have sold 31 t-shirts
(x^2−x−6x^2−8x+16)/(x2−x−12)
What number cannot be the value of x in the expression above? Why?
Question 12 options:
Answers
-3 and 4 cannot be the values of x in the given expression
The expression is given as:
[tex]\frac{(x^2-x-6x^2-8x+16)}{(x^2-x-12)}[/tex]
Start by equating the denominator to 0
[tex]x^2 - x - 12 = 0[/tex]
Expand the above equation
[tex]x^2 - 4x + 3x - 12 = 0[/tex]
Factorize the equation
[tex]x(x - 4) + 3(x - 4) = 0[/tex]
Factor out x - 4
[tex](x + 3) (x - 4) = 0[/tex]
Split
[tex](x + 3)= 0\ or\ (x - 4) = 0[/tex]
Remove brackets
[tex]x + 3= 0\ or\ x - 4 = 0[/tex]
Solve for x
[tex]x =- 3\ or\ x = 4[/tex]
Hence, -3 and 4 cannot be the value of x in the given expression
Read more about expressions at:
https://brainly.com/question/2972832
The backyard of a new home is shaped like a trapezoid with a height of 44 nt and bases of 86ft and 106ft What is the cost of putting sod on the yard, if the
landscaper charges $0.25 por square foot for sod?
Answers
Answer:
Step-by-step explanation:
Area of a trapezoid is the average length of the bases times the height
C = A(0.25)
A = ½(86 + 106)(44) = 4224 ft²
C = 4224(0.25) = $1056.00
Genes are sections of DNA that code for a particular trait. Genes are?
Answers
Answer:
Genes are DNA transferred to off spring by parents
Answer:
Genes are sections of DNA that code for a particular trait. Genes are nucleic acids.
Step-by-step explanation:
Diets For You announced today that it will begin paying annual dividends next year. The first dividend will be $0.12 a share. The following dividends will be $0.15, $0.20, $0.50, and $0.60 a share annually for the following 4 years, respectively. After that, dividends are projected to increase by 4 percent per year. How much are you willing to pay to buy one share of this stock today if your desired rate of return is 8.5 percent?
Answers
You will be willing to pay $ 1.41 to buy one share of this stock today if your desired rate of return is 8.5 percent.
Since Diets For You announced today that it will begin paying annual dividends next year, and the first dividend will be $ 0.12 a share, and the following dividends will be $ 0.15, $ 0.20, $ 0.50, and $ 0.60 a share annually for the following 4 years, After that, dividends are projected to increase by 4 percent per year, to determine how much are you willing to pay to buy one share of this stock today if your desired rate of return is 8.5 percent, the following calculation must be performed:
8.5 = 0.12 100 = X 100 x 0.12 / 8.5 = X 1.41 = X
Therefore, you will be willing to pay $ 1.41 to buy one share of this stock today if your desired rate of return is 8.5 percent.
Learn more about maths in https://brainly.com/question/25989093