Let z=1+i where i^2=-1.calculate z^2 z^3 z^4

X: -4. Y: -3

Step-by-step explanation:

Answer:

$15.90

Step-by-step explanation:

6% → 0.06

15* 0.06 = 0.9

15+0.9= $15.90

Given that,

Point 1 = (-6,9)

Point 2 = (2,9)

To find,

The slope of a line that passes through the given pair.

Solution,

We have,

x₁ = -6, x₂ = 2, y₁ = 9, y₂ = 9.

The formula for the slope of a line is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\=\dfrac{9-9}{2-(-6)}\\\\=0[/tex]

Hence, the slope of the line that passes through the given pair is 0.

Answer:

x = 5

Step-by-step explanation:

6x + 5 = 35

     -5     -5

6x = 30

divide both sides by 6

x = 5

Hope this helps!!!!

Answer:

1 pound.

Step-by-step explanation:

1/2 * 2

= 1

4 is the quotient of 100 divided by 25.

Here, we have,

given that,

100 divided by 25

now, we have to find the quotient of 100 divided by 25.

so, we get,

100 ÷  25

now, using the rule of division,

so, we get,

100/25

=> 20/5

=> 4/1

=> 4

Hence, 4 is the quotient of 100 divided by 25.

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Answer:

He bought 3 jumbo packs and 4 hobby packs.

Step-by-step explanation:

Ethan bought 4 number of hobby packs and 3 number of jumbo packs.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Let x be the number of hobby pack that Ethan buy and y be the number of jumbo packs that Ethan buy.

Ethan bought 7 packs for a total of 141 cards.

We got two linear equations here :

x + y = 7

9x + 35y = 141

Multiplying the first equation throughout by 9,

9x + 9y = 63

Subtracting the resulting equation we get from the second equation,

(9x + 35y) - (9x + 9y) = 141 - 63

35y - 9y = 78

26y = 78

y = 3

x = 7 - y = 4

Hence Ethan bought 4 hobby packs and 3 jumbo packs.

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Answer:

Maggie has seen at least 1620 birds.

Step-by-step explanation:

Ok since Maggie sees 36 birds each trip that means she sees 108 birds every year since she takes 3 trips each year. 36×3=108

If she has been doing this for 15 years she has seen at least 1620 birds because 108×15=1620

It's the Second one and the third one

Step-by-step explanation:

Pie is irrational so you can easily cross it off and it leads to to the second one and the third one

Step-by-step explanation: To divide mixed numbers, first rewrite the mixed numbers as improper fractions.

So here, 3/5 is already a fraction and 2 and 1/2 can be written as 5/2.

Remember that dividing by a fractions means the same thing

as multiplying by the reciprocal of that fraction.

In other words, 3/5 ÷ 5/2 can be rewritten as 3/5 · 2/5.

Finally, multiplying across the numerators and the

denominators, we have 6/25.

The result of the division of 3/5 divided by 2 1/2 is: 6/25.

Here, we have,

given that,

3/5 divided by 2 1/2

To divide mixed numbers, first rewrite the mixed numbers as improper fractions.

So here, 3/5 is already a fraction and 2 and 1/2 can be written as 5/2.

Remember that dividing by a fractions means the same thing

as multiplying by the reciprocal of that fraction.

In other words, 3/5 ÷ 5/2 can be rewritten as 3/5 · 2/5.

Finally, multiplying across the numerators and the

denominators,

we have 6/25.

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Answer:

6.625 acres

Step-by-step explanation:

What we know:

A builder brought 26.5 acres of land to develop a community.

A fourth of that land will be used to make a park.

1/4 * 53/2

LCM of 4 and 2 is 4

1/4 * 106/4

106/16 = 53/8 = 6.625 or 6 5/8 acres will be used for a park

Answer:

6.625 acres

Step-by-step explanation:

26.5 * 0.25 = 6.625

Answer:

4

Step-by-step explanation:

Hope this helps

Answer:

Total Amount Paid by Piper = $84.87

Option C is correct.

Step-by-step explanation:

Total boxes of cookies = 3

Cost of 1 box of cookie = $24.95

Delivery charges paid = $12.99

We need to find total amount Piper paid.

First we will find cost of 3 boxes of cookies:

Cost of 1 box of cookie = $24.95

Cost of 3 box of cookie = $24.95 x 3

                                        = $74.85

Now, add cost of 3 boxes of cookies with delivery charges paid to get total amount paid.

Total Amount Paid = Cost of 3 box of cookie + Delivery charges paid

                               = 74.85 + 12.99

                               = 87.84

So, Total Amount Paid by Piper = $84.87

Option C is correct.

Answer:

Y=2.65x+2.50

Step-by-step explanation:

Given that:

Initial charge = $2.50

Charge per mile = $2.65

Find the total cost (y) of the trip ; if number of miles = x

Total cost of trip = initial charge + (charge per mile * number of miles)

y = $2.50 + ($2.65 * x)

y = $2.50 + $2.65x

Answer:

[tex](5,\frac{9}{2})[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (5, 6)

Point (5, 3)

Step 2: Find Midpoint

Answer:

(5, 4.5)

Step-by-step explanation:

You would want to use the midpoint formula to find the midpoint of line 5,6 and 5,3.

Midpoint formula = [tex]\frac{x1 + x 2}{2} , \frac{y1 + y2}{2}[/tex]

x1 = 5

x2 = 5

y1 = 6

y2 = 3

Plug those into the midpoint formula.

[tex]\frac{5+5}{2} , \frac{6+3}{2}[/tex]

5+5=10/2 = 5

6+3=9/2=4.5

you answer will be (5,4.5)

hope this helps.

Answer:

the answers would be 12/35

because you all the animals together including the wolf and bobcat which is 35. so then you add the wolf and bobcat separately which is 12

Answer:

Step-by-step explanation:

Answer:

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Step-by-step explanation:

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answer:

90% Increase

Step-by-step explanation:

80+72=152

72/80= .9

Answer:

15.09

Step-by-step explanation:

By angle bisector property of a triangle, we have:

[tex] \frac{x}{17.1} = \frac{6}{6.8} \\ \\ x = \frac{17.1 \times 6}{6.8} \\ \\ x = \frac{102.6}{6.8} \\ \\ x = 15.0882353 \\ \\ x \approx15.09[/tex]

The equation contains variables on both sides equals 18 can be written as (2x - 18) = x.

A linear equation would be a type of equation with each variable's degree is completely identical to one.

Now, for the given question, the equation which could be represented in the form of variable on both side and has the solution equals to zero is;

(2x - 18) = x

The solution can be obtained as;

2x - 18 = x

Bring variable part on one side and constant on other.

2x - x = 18

x = 18.

Therefore, the equation with variables on both side the equals 18 is obtained as  (2x - 18) = x.

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Answer: D

Step-by-step explanation:

Answer:

x = 3y

x + y = 24

The number of social media advertisement purchased is 18

And, the number of newspaper advertisements purchased is 6

Step-by-step explanation:

Let us assume the number of social media advertisement purchased be x

And, the number of newspaper advertisements purchased be y

As three social media advertisements for every one newspaper advertisement is purchased

So,

y = x ÷ 3

x = 3y

And it is ended by total of 24 advertisement

That means

x + y = 24 ............(1)

Now put the value of x in equation 1

3y + y = 24

4y = 24

y = 24 ÷ 4

= 6

x = 3y

= 6 × 3

= 18

Now  The equations are

x = 3y

x + y = 24

Answer:

Pretty sure it is c

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3.50×6=21

2×6=12+9=21

Answer:

the last one because when using the distributive property,  you get

4x + 12 - 2x - 10

Answer:

4x + 12 + 2x + 10

Step-by-step explanation:

4( x + 3 ) -2( -x -5 )

1. Multiply 4 and x = 4x

2. Multiply 4 and 3 = 12

3. Multiply -2 and -x = 2x

(turns positive as there are 2 negative signs)

4. Multiply -2 and -5 = 10

(turns positive as there are 2 negative signs)

Answer:

−10x − 6y

Step-by-step explanation:

−2(5x+3y)

=(−2)(5x+3y)

=(−2)(5x)+(−2)(3y)

=−10x−6y

Answer:

E

Step-by-step explanation:

The onlt one that makes sense