What is i raised to the 5th power?
Complex numbers algebra

Answer:

8 :)

Step-by-step explanation:

Answer:

Area = 16 in²

Step-by-step explanation:

Represent the length with L and the width with W

We have the following given parameters:

L = 4W

Perimeter = 20

Required

Determine the area.

The perimeter is calculated as thus:

Perimeter = 2(L + W)

Substitute 4W for L and 20 for Perimeter.

20 = 2(4W + W)

20 = 2 * 5W

20 = 10W

Solve for W

W = 20/10

W = 2

Recall that:

L = 4W

L = 4 * 2

L = 8

The area is then calculated as thus:

Area = L * W

Area = 8 * 2

Area = 16

Hence, the area is 16in²

Answer:

(-2, -4)

Step-by-step explanation: because its going backwards it should be a negative slope :)

I'm sorry if I'm wrong  but i hope this helps :)

Answer:

4 glasses

Step-by-step explanation:

im sorry if im wrong

Answer:

4 glasses

Step-by-step explanation:

ur welcome

Answer:

0 and 1

Step-by-step explanation:

If a polynomial P(x) is divided by (x + h), then by the Remainder theorem

The remainder is the value of P(- h)

(1)

For P(x) divided by (x - 1) , then the remainder is P(1) = 0

(2)

For P(x) divided by (x + 2) then the remainder is P(- 2) = 1

Answer:

13

Step-by-step explanation:

Take 18 minus 5 and the answer is 13.

Answer:

Finding the error for each observation, squaring the error and minimizing the sum

Step-by-step explanation:

The regression line is a straight line which gives a description of how the dependent variable y changes as changes occur in the independent variable X. It gives a prediction of the value of Y for any given value of X.

The method of least squares is used for squaring the error and also used for minimising the sum. Therefore, when you calculate the regression line, you would be Finding the error for each observation, squaring the error and minimizing the sum.

Answer:

y = 2x - 5

I hope this helps!

Answer:

a+2b-d=1, 3, 5, 7

Step-by-step explanation:

(ax^2+bx+3)(x+d)

ax^3+bx^2+3x+adx^2+bdx+3d

ax^3+bx^2+adx^2+3x+bdx+3d=x^3+6x^2+11x+12

ax^3=x^3, a=1

bx^2+adx^2=6x^2

x^2(b+ad)=6x^2

b+ad=6

b+(1)d=6

b+d=6

------------

3x+bdx=11x

x(3+bd)=11x

3+bd=11

-----------------

b=6-d

3+(6-d)d=11

3+6d-d^2=11

3-11+6d-d^2=0

-8+6d-d^2=0

d^2-6d+8=0

factor out,

(d-4)(d-2)=0

zero property,

d-4=0, d-2=0

d=0+4=4,

d=0+2=2

b=6-4=2,

b=6-2=4.

------------------

a+2b-d=1+2(2)-2=1+4-2=5-2=3

-------------------

a+2(4)-4=1+8-4=9-4=5

-----------------------

a+2(2)-4=1+4-4=5-4=1

-----------------------

a+2(4)-2=1+8-2=9-2=7

Answer:

[tex]a+2b-d=1[/tex]

Step-by-step explanation:

We are given that:

[tex](ax^2+bx+3)(x+d)=x^3+6x^2+11x+12[/tex]

And we want to determine:

[tex]a+2b-d[/tex]

So, we will determine our unknowns first.

We can distribute our expression:

[tex]=(ax^2+bx+3)x+(ax^2+bx+3)d[/tex]

Distribute:

[tex]=ax^3+bx^2+3x+adx^2+bdx+3d[/tex]

Rearranging gives:

[tex]=(ax^3)+(bx^2+adx^2)+(bdx+3x)+3d[/tex]

Factoring out the variable yields:

[tex]=(a)x^3+(b+ad)x^2+(bd+3)x+d(3)[/tex]

Since we know that our expression equals:

[tex]x^3+6x^2+11x+12[/tex]

This means that each of the unknown terms in front of each variable corresponds with the coefficient of the resulting equation. Therefore:

[tex]\begin{aligned} a&=1\\ b+ad&=6\\bd+3&=11\\3d&=12\end{aligned}[/tex]

Solving the first and fourth equation yields that:

[tex]a=1\text{ and } d=4[/tex]

Then the second and third equations become:

[tex]b+(1)(4)=6\text{ and } b(4)+3=11[/tex]

And solving for b now yields that:

[tex]b=2\stackrel{\checkmark}{=}2[/tex]

Therefore, we know that:

[tex]a=1, b=2\text{ and } d=4[/tex]

For the equation:

[tex](x^2+2x+3)(x+4)=x^3+6x^2+11x+ 12[/tex]

Then the expression:

[tex]a+2b-d[/tex]

Can be evaluated as:

[tex]=(1)+2(2)-4[/tex]

Evaluate:

[tex]=1+4-4=1[/tex]

Hence, our final answer is 1.

Given:

Considering only the factors of the form x - k.

To find:

The relationship between the k values and the zeros?​

Solution:

We know that, if (x-c) is a factor of a function f(x), then x=c is a zero of function f(x), i.e., f(c)=0, where, c is a constant.

It is given that, only the factors of the form x - k. Then by using the above theorem we can say that, k values are the zeros of the function.

The relationship between the k values and the zeros is defined as

​k values = Zeros of the function

Therefore, the k values are to zeros of the function.

Answer:

15

Step-by-step explanation:

Answer:

I believe the answer is 6.

Step-by-step explanation:

Answer:

y = -49

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-7 = y/7

Step 2: Solve for y

Answer:

The side of the square is 12 cm and x = 10 cm.

Step-by-step explanation:

Since it's a square, it's sides have the same length.

Hence, since one of it's sides is x + 2, the other side must be x + 2 as well.

Therefore, we can set up an equation:

[tex](x + 2)^{2} = 144 cm^{2}[/tex]

[tex](x + 2) = \sqrt{144cm^{2}}[/tex]

[tex]x + 2 = 12 cm[/tex]

[tex] x = 10 cm[/tex]

Hence, the side of the square is 12 cm and x = 10 cm.

Hope this helped!

Answer:

there is no problem

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

81/x=90/100

8100=90x

90=x

The total number of problems given in exam was 90.

Percentage, which is a relative figure used to denote hundredths of any quantity. One percent (symbolised as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified.

Divide one number by the other, then multiply the result by 100 to get the percentage of the two numbers.

A student correctly answered 81 problems.

Grade received by student is 90%

Let the total number of question given in the test be 'x'.

Thus,

90% of x = 81

(90/100)x = 81

x = (81×100)/90

x = 90

Therefore, the total number of question allotted to the student is 90.

To know more about how to conver percent to fraction?, here

https://brainly.com/question/317717

#SPJ2

Answer:

(53.812 ; 58.188) ; 156

Step-by-step explanation:

Given that :

Sample size (n) = 51

Mean (m) = 56

Standard deviation (σ) = 9.5

α = 90%

Using the relation :

Confidence interval = mean ± Error

Error = Zcritical * (standard deviation / sqrt (n))

Zcritical at 90% = 1.645

Error = 1.645 * (9.5 / sqrt(51))

Error = 1.645 * 1.3302660

Error = 2.1882877

Hence,

Confidence interval :

Lower boundary = 56 - 2.1882877 = 53.8117123

Upper boundary = 56 + 2.1882877 = 58.1882877

Confidence interval = (53.812 ; 58.188)

2.)

Margin of Error (ME) = 1.25

α = 90%

Sample size = ((Zcritical * σ) / ME)^2

Zcritical at 90% = 1.645

Sample size = ((1.645 * 9.5) / 1.25)^2

Sample size = (15.6275 / 1.25)^2

Sample size = 12.502^2 = 156.3000

Sample size = 156

Answer:

The possible value of F must be 5N.

Step-by-step explanation:

A vector quantity is a quantity that comprises of both magnitude and direction. And an example of a vector quantity is force.

In the given question, the pointing arrows are two forces in action, pushing the box in opposite directions.

If the values of both forces pointing left and right are equal, the box would not move. This implies that the two forces are balanced, so the box would be at a state of dynamic equilibrium.

If the box moves to the right, it implies that the force F is less than that pointing right i.e 6N > F.

Therefore, the possible value of F is less than 6N. Thus, F = 5N.

Answer:

L = 25

Step-by-step explanation:

Let's call the Length x and width x - 15 since the width is 15 less than length

Eric needs 70 of fencing in total, the perimeter of a rectangle is calculated by adding all sides

x + x + (x - 15) + (x - 15) = 70 add like terms

4x - 30 = 70 add 30 to both sides

4x = 100 divide both sides by 4

x = 25

Answer :

Given :

To find :

Solution :

We know that for fencing we need to find the perimeter ,

Let us assume the value of length be x yards

Solving the question we get ,

Length = 25 yards

Breadth = 25 - 4

Answer:

B)  divide a binomial by a trinomial

Step-by-step explanation:

We know that the polynomials are very nearest to the addition, subtraction and the multiplication part but the same cannot happen under the division part since the division of two polynomials could not become a polynomial it is not necessary  condition that it could become a polynomial

So if we divide the binomial by a trinomial therefore it would provides a rational expression and have a negative exponent and a negative exponent is not permitted under the polynomial

Therefore the option B is correct

Answer:3

Step-by-step explanation:

Use equation for slopes: y1- y2/ x1_ x2=

-11-(-5)/-3-(-6)=3

Answer:

C

Step-by-step explanation:

Going by order of PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction), you add the 2 and the 9 first due to them being in parenthesis. You then multiply by 5.

Answer:

Cos²(45°—A) + cos²(45°+A)

= [2 cos²(45°—A) + 2 cos²(45°+A)] /2

= [{2 cos²(45°—A)—1} + {2 cos²(45°+A)—1} + 2] /2

= [cos2(45°—A)+cos2(45°+A)+2]/2

= [cos(90°—2A)+cos(90°+2A)+2]/2

= (sin2A—sin2A+2)/2

= 2/2

= 1

Answer:

its c

Step-by-step explanation:

Answer:

You never said how much money belle's dad had in the first place there not enough information

Step-by-step explanation:

(10 + 15) - x

Answer:

1. 45

2. 9

3. 11

4. 17

Step-by-step explanation:

The computation is shown below:

Given  that

28 checked H

26 checked C

14 checked D

8 checked H and C

4 checked H and D

3 checked C and D

2 checked all.

Based on the above information

N(H)=28

N(C) 26

N(D) 14

N(H∪C) = 8

N(H∪D) = 4

[tex]N(C\cup D)=3[/tex]

[tex]N(H\cup C\cup D)=2[/tex]

We know that

[tex]Total=N(H)+N(C)+N(D)-N(H\cup C)-N(H\cup D)-N(C\cup D)+N(H\cup C\cup D)[/tex]

= 28 + 26 + 14 - 8 - 4 - 3 + 2

= 55

1. The students who didnt check any kind of the box is

= 100 - 55

= 45

2) Students who checked exactly two boxes is

[tex]= N(H\cup C)+N(H\cup D)+N(C\cup D)-3N(H\cup C\cup D)[/tex]

= 8 + 4 + 3 - 6

= 9

3) Students who checked a minimum of two boxes

[tex]= N(H\cup C)+N(H\cup D)+N(C\cup D)-2N(H\cup C\cup D)[/tex]

= 8 + 4 + 3 - 4

= 11

4) Given N(C) = 26

Now we have to deduct N(C∪D) and N(H∪C) as it could be checked aside from the club

= 26 - 8 - 3

= 15

Here the [tex]N(H\cup C\cup D)[/tex] could be deducted twice under both categories so it would be added one time to neutralize

= 15 + 2

= 17

.

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