What is the value of i^n if the remember of n/4 is 2

Answer:

see below

Step-by-step explanation:

f(x) = x^2 – 2x – 3

To find the roots, set the equation equal to zero

0  = x^2 – 2x – 3

Factor, what two numbers multiply to -3 and add to -2

-3 * 1 = -3

-3 + 1 = -2

0 = (x-3)( x+1)

Using the zero product property

x-3 =0   x+1 =0

x=3          x=-1

Answer:

3

Step-by-step explanation:

cuz i said so lol

Answer:

5th term of sequence = -18

nth term of the sequence = -5n + 7

Step-by-step explanation:

Difference between successive and previous term of the output,

[tex]T_{2}-T_{1}[/tex] = -3 - 2

           = -5

Similarly, [tex]T_{3}-T_{2}=-8-(-3)[/tex]

                            = -5

There is a common difference 'd' = (-5)

Therefore, the sequence formed will be an arithmetic sequence.

First term of the sequence 'a' = 2

Explicit formula of an arithmetic sequence, [tex]T_{n}[/tex] = a + (n - 1)d  [n = input value]

[tex]T_{n}[/tex] = 2 + (n - 1)(-5)

    = 2 - 5n + 5

    = -5n + 7

5th term of this sequence,

[tex]T_{5}=2+(5-1)(-5)[/tex]

    = 2 - 20

    = -18

Therefore, 5th term of sequence = -18

                  nth term of the sequence = -5n + 7

Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition. 

-Peter ( hope its right )

Answer:

P=32m

A=48 m^2

Step-by-step explanation:

if two shorter sides are 4m each and the two longer sides are 12 m

4+4+12+12 to find the total P

Area, time the LENGTH by WIDTH to find the squared meters in the rectangle .

4x12 = AREA

Answer: Krista put 0.40 in the first equation meant for the number of stamps

Step-by-step explanation: From the information available to Krista, she can determine the number of stamps that cost 40 cents and those that cost 55 cents. What she needs is a system of simultaneous equations both of which would use the total number of stamps and the total cost of stamps to determine the how many stamps cost 40 cents and how many costs 55 cents.

The system of equations should have been,

x + y = 45 ----------(1)

0.40x + 0.55y = 18.75 ----------(2)

From equation (1), let x be the subject of the equation and hence x = 45 - y

Substitute for the value of x into equation (2)

0.40(45 - y) + 0.55y = 18.75

18 - 0.40y + 0.55y = 18.75

Collect like terms and you now have

0.55y - 0.40y = 18.75 - 18

0.15y = 0.75

Divide both sides of the equation by 0.15

y = 5

When y has been calculated as 5, substitute for the value of y into equation (1)

x + y = 45

x + 5 = 45

x = 45 - 5

x = 40

The results show that the stamps that cost 0.40 cents (x) were 40 in number while those that cost 0.55 cents (y) were 5 in number.

This answer could not have been derived due to the mistake Krista committed when writing the equations.

Answer:

a

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

¾(¼x + 8) - (½x + 2) = ⅜(4-x) - ¼x

3x/16 + 6 - x/2 - 2 = 3/2 - 3x/8 - x/4

3x/16 + 4 - x/2 = 3/2 - 3x/8 - x/4

3x/16 - x/2 + 3x/8 + x/4 = 3/2 - 4

3x/16 - 8x/16 + 6x/16 + 4x/16 = 3/2 - 8/2

(3x - 8x + 6x + 4x)/16 = - 5/2

5x/16 = - 5/2

5x * 2 = -5 * 16

10x = - 80

x = -80/10 = -8

Answer:

f(3) = 14

Step-by-step explanation:

Using the recursive formula and f(1) = 3 , then

f(2) = f(1) + 5.5 = 3 + 5.5 = 8.5

f(3) = f(2) + 5.5 = 8.5 + 5.5 = 14

Answer:

14

Step-by-step explanation:

Answer:

21+12i i hope this will help you

Step-by-step explanation:

(3-4i)(1+5i)-(2-i)

=[3(1+5i)-4i(1+5i)]-(2-i)

=[3+15i-4i-20i²]-(2-i)

=(3+11i-20i²)-(2-i)

opening brackeys

=3+11i-20i²-2+i

=3+11i+1i-20i²-2

as we know that i²=-1

=3-20(-1)-2+12i

=3+20-2+12i

=21+12i

The expression (3 - 4i)(1 + 5i) - (2 - i) is simplified as 21 + 12i

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the expression be A = (3 - 4i)(1 + 5i) - (2 - i)

Now , we know i² = -1

And , on simplifying the expression , we get

A = (3 - 4i)(1 + 5i) - (2 - i)

A = 3 + 15i - 4i - 20i² - 2 + i

A = -20i² + ( 3 - 2 ) + ( 15i - 4i + i )

A = -20 ( -1 ) + 1 + ( 11i + i )

A = 20 + 1 + 12i

A = 21 + 12i

Hence , the value of the expression (3 - 4i)(1 + 5i) - (2 - i) is ( 21 + 12i )

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Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

78 + 47 = 125

125/25 = 5

Answer:

– 21x^3 y – 9x^2 y^2 e) is your answer

Step-by-step explanation:

Solve the following system for A and B:

{A = 7 x^2 + 3 x y

B = -3 x y

Express the system in matrix form:

(1 | 0

0 | 1)(A

B) = (7 x^2 + 3 x y

-3 x y)

Write the system in augmented matrix form and use Gaussian elimination:

(1 | 0 | 7 x^2 + 3 x y

0 | 1 | -3 x y)

Collect results:

Answer: {A = 7 x^2 + 3 x y  , B = -3 x y

then we multiply the results (7 x^2 + 3 x y) ( -3 x y) =  – 21x^3 y – 9x^2 y^2

Answer:

10 minutes

Step-by-step explanation:

5/6 of an hours is 50 min. Assume x is the time she spends on each skill.

5x=50

x=10

She spent 1/6 of an hour i.e. 10 minutes on each skill.

In area model for multiplication a rectangle is used to represent multiplication between two quantities. Width and Length of the rectangle are assigned the numerical value of the two quantities being multiplied.

Let the number of skills be represented by the length of the rectangle in the figure.

Let the time spent(in hours), which is same for all skills, on each skill be represented by the width of the rectangle in the figure.

The area of the rectangle = length × width = 5 × t = 5t hours.

This area represents total time spent on five skills, which is 5/6 hours.

The smaller rectangles into which the whole rectangle is divided have area 1 × t = t hours. This represents time spent on one skill.

From the figure, such five smaller and equal rectangles constitutes the whole rectangle.

So, area of one smaller rectangle = Area of big rectangle / number of small rectangles = (5/6)/5 = 1/6 hours.

Since, this represents time spent on one skill. So, the required time is 1/6 hours.

She practice each skill for 1/6 of an hour.

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Answer: The plane is 246.4 kilometres from Dryden (approximately)

Step-by-step explanation: Please refer to the picture attached for further details.

The pilot was meant to fly from Thunder Bay which is marked as point T to Dryden which is marked as point D. The distance is given as approximately 320 kilometres as shown.

However upon departure, the pilot goes off course at an angle of 20 degrees and flies for 80 kilometres. When he has traveled for exactly 80 kilometres, he would find himself at point P as shown in the diagram. The plane which is now at point P, is t kilometres from Dryden (point D). To calculate the distance t, we shall apply the cosine formula, having been given two sides and an angle between.

The cosine rule states as follows;

c² = a² + b² - 2abCosC

Substituting for the given variables in this question, the formula can be expressed as follows;

t² = d² + p² - 2dpCosT

Substituting for the known values, we now have,

t² = 80² + 320² - 2(80*320)Cos20

t² = 6400 + 102400 - 2(25600)0.9396

t² = 108800 - (51200) * 0.9396

t² = 108800 - 48107.52

t² = 60692.48

Add the square root sign to both sides of the equation

√t² = √60692.48

t = 246.3584

t ≈ 246.4

Therefore, the plane is approximately 246.4 kilometres from Dryden.

Answer :

is approximately 100 cm ²

Step -by-step explanation

[tex]r \: = 10 \\ l \: = 21.81 \\ T.S.A \: of a \: cone\: = \pi \times r(r + l)[/tex]

[tex] \frac{22}{7} \times 10(10 + 21.81) \\ \frac{22}{7} \times 10(31.81) \\ \frac{22}{7} \times 318.1[/tex]

[tex] \frac{22}{7} \times 318.1 \\ = 999.7 \\ = 100 {cm}^{2} [/tex]

Answer:

(-2, -3)

Step-by-step explanation:

The middle of the point. It covers two blocks so find the middle.

Or you can use the midpoint formula

[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

(-2,-3)  because it is in the middle of the line segment, between the two marked points

Step-by-step explanation:

Descending means from highest to lowest values, so look for the one that goes in order counting down.

Option A is going down all the way unlike any of the other answers, so A is the correct option.

Answer:

A. [tex]-2x^3+6x^2-9x+5[/tex]

Answer:

The correct options are (1), (2) and (4).

Step-by-step explanation:

If the cross-section of a right rectangular prism parallel to its base then the cross section is a rectangle.

If the cross section of a right rectangular prism perpendicular to its base then the cross section is a rectangle.

It is provided that a right rectangular prism has a rectangular base measuring 15 inches by 8 inches.

Then the right rectangular prism could have:

Thus, the correct options are (1), (2) and (4).

Step-by-step explanation:

6(16.5 cm) = 99 cm

Answer:

20 and 28

Step-by-step explanation:

Let x represent the current age of Hari and y represent the current age of Harry

Since the current ratio is 5:7:

5/7 = x/y  

→ 5y = 7x  (1)

Hari's age will be x+4 and Harry's age will be y+4 four years later. Since the ration of their ages will be 3:4 four years later:

3/4 = (x+4)/(y+4)  (2)

→ 3(y+4) = 4(x+4)

→ 3y + 12 = 4x + 16

→ 3y = 4x + 4 (Substitute the y as 7x/5 from the equation 1)

→ 3(7x/5) = 4x + 4

→  21x = 20x + 20

→ x = 20

y = 7x/5 = 7(20)/5 = 28

Answer:

Step-by-step explanation:

learn it

Answer:

The answer is B.

Step-by-step explanation:

You have to apply gradient formula by using coordinates :

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Let (x1,y1) be (-14,-13),

L3t (x2,y2) be (7,0),

[tex]m = \frac{0 - ( - 13)}{7 - ( - 14)} [/tex]

[tex]m = \frac{13}{21} [/tex]

Answer: ill try to do #3 for you

A. money= dependent (depends on days)

days= independent

B. im guessing its this: m=250d

C. $250x 10 days= $2,500 he will need to save

also #4 is y-2x-2

if this is all correct could u mark my answer brainliest if you want to thanks!

Answer:

3. All real numbers greater than or equal to -2

Answer:

-9

Step-by-step explanation:

[tex](-7)^{2}[/tex] = 49

when you have a negative number to any power make sure you plug it in correctly into the calculator.

[tex]\frac{49+5}{-7+1}[/tex]  = [tex]\frac{54}{-6}[/tex]

54÷-6= -9

I hope this helps

Answer:

[tex]-9[/tex]

Step-by-step explanation:

[tex]\frac{x^2+5}{x+1}[/tex]

If [tex]x=-7[/tex] then:

[tex]\frac{-7^2+5}{-7+1} =\\\\\frac{49+5}{-6} =\\\\\frac{54}{-6} =\\\\-9[/tex]

The expression equals [tex]-9[/tex] if [tex]x=-7[/tex]

[tex]answer \\ \sqrt{208} \\ solution \\ hypotenuse = c \\ perpendicular = 8 \\ base = 12 \\ using \: pythagoras \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {c}^{2} = {8}^{2} + {12}^{2} \\ or \: {c }^{2} = 64 + 144 \\ or \: {c}^{2} = 208 \\ c = \sqrt{208} \\ hope \: it \: helps[/tex]

The first question was answered on another page.

As for your second question, you are unfortunately not correct.

We can check each possible answer by adding up the costs for each road. I recommend getting a marker out to trace the path, to help keep track of which roads were taken.

So we have...

We see that Circuit ACDBA is the cheaper route of the answer choices given, and it perfectly matches with choice 2.

This may or may not be the cheapest route. I'm not all that familiar with the Nearest Neighbor algorithm to properly find the cheapest route (the next best thing is brute force). Luckily we can just use the answer choices as shown above. Besides the question doesn't ask for the absolute cheapest, but instead, "one of the cheapest".

Answer:

The answer is 210°.

Step-by-step explanation:

Given that ∠BOE = 130° and ∠COB is 80°. So in order to find ∠CBE, you have to add up together :

∠CBE = ∠BOE + ∠COB

∠CBE = 130° + 80°

∠CBE = 210°

(Correct me if I am wrong)

please see the attached picture...

Hope it helps...

Good luck on your assignment...

Answer:

17

Step-by-step explanation:

A standard die has a 1/6 chance of rolling a 6.

Over 100 rolls, a 6 is likely rolled (1/6)*100 times.

100/6=16.66, approximately 17 times

Answer:

B. (1, -3)

Step-by-step explanation:

When you dilate from the origin (0, 0) by a scale factor of 1/2, multiple each coordinate point by 1/2.

(2, -6)

2 × 1/2 = 1

-6 × 1/2 = -3

(1, -3)

I hope this helps :))

Answer:

The answer is (1,-3)

Step-by-step explanation:

I took the test :)