Evaluate (sqrt(2+i))^8

Answers

Answer 1

Step-by-step explanation:

[tex]( \sqrt{2 + i} ) {}^{8} [/tex]

Notice that

[tex] \sqrt{a} = a {}^{ \frac{1}{2} } [/tex]

So


Related Questions

Helppp PLEASE ASPPP HELP HELP HELP PLEASE HELP

Answers

Answer:

c. 17/12

Step-by-step explanation:

NEED HELP ASAP I WILL MARK BRAINLIEST IF ANSWERED CORRECTLY

NO LINKS IF YOU DO NOT KNOW THE ANSWER PLEASE SKIP OVER THIS THREAD

Answers

Answer:

I think this Cyclic quadrilateral 180degree

charlie stands at point A while holding the control line attached to a model airplane. the plane travels 120 feet counterclockwise from point b to point c about how long is the control line

Answers

The counterclockwise direction of the airplane implies that it moves in the opposite direction

The control line could be 60 feet long

How to determine the length of the control line?

The question is incomplete, as the figure that represents the control line and other parameters are not given.

However, a possible solution is as follows.

From the question, we understand that the airplane travels 120 feet counterclockwise.

The counterclockwise direction could represent that points B and C are on either sides of point A, such that:

AB = AC = 0.5* BC

So, we have

AB = 0.5* 120

AB = 60 feet

Hence, the control line could be 60 feet long

Read more about lengths at:

https://brainly.com/question/24487155

a
Write a rule that Linda can use to figure out how many cups of chocolate she needs for any
number of cups of cream when making Super Truffles.

Answers

Answer:

Multiply the number of cups of cream by two and a half.

8. An angle that contains 126° 32' is a/an Angle

angle.

A. straight

B. obtuse

C. right

D. acute

Answers

Answer:

B.

Step-by-step explanation:

A straight angle is exactly 180°

An Obtuse angle is more than 90°, but less than 180.

A right angle is 90°

An acute angle is less than 90°

ind the area of the figure.
A) 14 cm2
B) 50 cm2
C) 60 cm2
D) 64 cm2

Answers

Answer:

D) 64

Step-by-step explanation:

(10 x 12) - (8 x7) = 120-56 = 64


answer: 64 square cm

A law firm charges $450 per hour for its services. To raise revenues, the firm increases its fees by
10%. What is the new rate that the firm charges per hour?

Answers

Answer:

The correct answer would be $495 per hour

Step-by-step explanation:

The equation would be

450 divided by 10= 45

=450+45=495

= $495

GIVING BRAINLIEST FOR THIS ONE QUESTION, THANKS

Answers

Answer:

[tex](6\times 4)^3 = 6^3 \times 4^3[/tex]

Step-by-step explanation:

Question 7 (Essay Worth 5 points)
(7.03)
An equation is shown below:
6(2x - 11) + 15 = 21
Write the steps you will use to solve the equation and explain each step.

Answers

Answer:

x=6

Step-by-step explanation:

The first thing you should start with is distributing the 6 inside the parentheses, which would give us (12x - 66) + 15 = 21. Now we can add like terms on this side of the equation to get: 12x -51 = 21. Add the 51 to the right side to get 12x = 72, then divide both sides by 12 to get x = 72/12 or 6.

x=6

Hope this helps!

Marking this brainliest also helps me out too :)

Solve, using the correct order of
operations, when x = 8 and y = 6.
2x - (4 + y)

Answers

Step-by-step explanation:

When x = 8 and y = 6

= 2x - ( 4 + y )

Put the value of x and y ...

= 2 × 8 - 4 × 6

Multiply 2 and 8 and 4 and 6 ...

= 16 - 24

Subtract it

= - 8

Hence...the answer is -8 ....

A recipe called for using 5 1/8 cups of flour before baking and another 8 7/9 cups after baking. What is the total amount of flour needed in the recipe?​

Answers

Answer: 13 [tex]\frac{65}{72}[/tex]

Step-by-step explanation:

    This question is asking us to find the total flour used, so we will add the two amounts together.

5 1/8 + 8 7/9

-

5 + 8 = 13

1/8 + 7/9 = 9/72 + 56/72 = 65/72

-

13 + 65/72 = 13 [tex]\frac{65}{72}[/tex]

        The recipe calls for 13 [tex]\frac{65}{72}[/tex] cups of flour.

Find the missing side of the right triangle. Leave answer in
simplest radical form.
If the legs of a right triangle are 6 and 8, then the hypotenuse
is
a 40
b 30
C 20
d 10

Answers

Hello There!!

Given:-

Altitude (AB) = 6cm

Base (BC) = 8cm

To Find

Hypotenuse (AC) = ?

[tex] \fbox \text{According To Pythagoras Theorem = }[/tex]

[tex] \text{(Hypotenuse)² = (Altitude)² + (Base)²}[/tex]

Inserting The Values

[tex] \text{(Hypotenuse)²} =( {6})^{2} + (8) {}^{2} [/tex]

[tex] (\text{AC}) {}^{2} = (6) {}^{2} + (8) {}^{2} \\ \implies \text{(AC)} {}^{2} = 36 + 64 \\ \implies\text{AC} = \sqrt{100} \\ \implies\text{AC} = 10 \\ \\ \therefore \text{Hypotenuse (AC)} = 10 \text{cm}[/tex]

Correct Option D= 10cm

Hope this helps

At Silver Gym, membership is $30 per month, and personal training sessions are $35 each. At Fit Factor, membership is $60 per month, and personal training sessions are $25 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

Answers

Answer:   5 personal training sessions

Step-by-step explanation:

Given only 1 month, then set the 2 equations equal to each other, given that x=# of personal training sessions:

    25+45x = 75 + 35x

    -25-35x    -25-35x

    So, 10x=50; divide both sides by 10, to get:

           5, so, 5 personal training sessions per month to make the 2 costs equal to one another.

help, I’m terrible with percentages

Bob has a 1% chance of getting a prize from a cereal box, while the other prizes have a 99% chance for him to get. How many cereal boxes does Bob have to buy in order to get the prize? Show your work.

I’m pretty sure you’re supposed to find out something like “one in a million chance!”

Answers

Answer:

99 boxes im sure

Please please help me !
Thank you for the help.
Point and brainliest

Answers

1. no

2. no

3. strong

4. positive

this is what i think is right. lmk which is wrong :)

Solve for x. Round to the tenths place. Can somebody help

Answers

Answer:

12.12

Step-by-step explanation:

7^2+x^2=14^2, as by the Pythagorean theorem.

49+x^2=196,

x^2=147,

square root of 147;

it's close to 144,

thus, 12.12

PLEASE HELP NOW I WILL FOLLOW AND GIVE BRAINLIST

Answers

Answer:

[tex] \frac{2}{5} [/tex]

Step-by-step explanation:

[tex] \frac{4}{10} = \frac{2}{5} [/tex]

good luck

Answer/Step-by-step explanation:

At least, meaning 2 1/2 or more

Now, I'm not exactly sure how they want it written so it could be two answers.

4/10

OR

4

Hope this helps :)

Please help! First answer correct BRAINLIEST

Answers

Answer:

8.......................

Step-by-step explanation:

It's clear that the figure is rhombus (because diagonals make right angle).

Rhombus area formula: (AC×BD)÷2

So if we have area and one diagonal then it's easy to find another diagonal.

S=AC×BD÷2

14.5×BD÷2=58

14.5BD=58×2

14.5BD=116

BD=116÷14.5

BD=8

I WILL GIVE BRAINLYEST
Rectangle PQRS is plotted on a coordinate plane. The coordinates of P are (– 1, 4) and the
coordinates of Q are (– 1, – 4). Each unit on the coordinate plane represents 1 centimeter, and
the area of Rectangle PQRS is 64 square centimeters. Find the coordinates of Points R and S
given these conditions:.aPoints R and S are to the left of Points P and Q.bPoints R and S are to the right of Points P and Q

Answers

Answer:

See below

Step-by-step explanation:

Given points P and Q have same x-coordinate but different y- coordinates.

The distance between P and Q is the difference of y- coordinates:

PQ = 4 - (-4) = 8 units = 8 cm

The area is 64 cm², it means the adjacent sides are

PS = QR = 64/8 = 8 cm

a)

If the points R and S are to the left, their coordinates are

S = (-1 - 8, 4- 0) = (- 9, 4)R = (-1 - 8, - 4 - 0) = (- 9, -4)

b)

If the points R and S are to the right, their coordinates are

S = (-1 + 8, 4 + 0) = (7, 4)R = (-1 + 8, - 4 + 0) = (7, -4)

Answer:

Points R and S are to the left of Points P and Q

R = (-9, 4)

S = (-9, -4)

Points R and S are to the right of Points P and Q

R = (7, 4)

S = (7, -4)

Step-by-step explanation:

Given coordinates:

P = (-1, 4)Q = (-1, -4)

Points P and Q have the same x-value.

The vertical distance between these two points is:

[tex]\begin{aligned}\implies \sf y_P-y_Q & =\sf 4-(-4)\\ & =\sf 4+4\\ & =\sf 8\:units \\ & =\sf 8\:cm\end{aligned}[/tex]

Area of a rectangle = width × length

If the area of the rectangle PQRS is 64 cm² then:

[tex]\begin{aligned} \implies \sf 64 & = \sf width \times 8\\\implies \sf width & = \sf \dfrac{64}{8}\\\implies \sf width& = \sf 8 \: cm \end{aligned}[/tex]

This means that the y-values of points R and S will be the same as points P and Q, but the x-values will either be 8 less or 8 more.

Points R and S are to the left of Points P and Q

R = (-1 - 8, 4) = (-9, 4)

S = (-1 - 8, -4) = (-9, -4)

Points R and S are to the right of Points P and Q

R = (-1 + 8, 4) = (7, 4)

S = (-1 + 8, -4) = (7, -4)


In parallelogram ABCD, mLA
4x + 20 and m2C = x + 26
Find the value of x.
Then find the measure of LA.

Answers

Answer:

Step-by-step explanation:

In a parallelogram, opposite angles are congruent.

∠A = ∠C

4x + 20 = x + 26

Step 1: To find the valu of 'x', first subtract 20 from both sides

4x = x + 26- 20

4x = x + 6

Step2: Now, subtract 'x' from both sides

4x -x = 6

3x = 6

Step:3: divide both sides by 3

x = 6/3

x = 2

∠A = 4*2 + 20

      = 8 + 20

∠A = 28°

d. A bag of fertiliser is made up of nutrients: nitrogen, phosphorus and potassium in the ratio 3:1:2. If the bag of fertiliser contains 14 kg of phosphorus, calculate how much nitrogen it contains. [3]​

Answers

Answer:

42

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Step-by-step explanation:

[tex]14\times 3\div 1[/tex]

______________________________________________

Calculate

[tex]14\times 3[/tex]

______________________________________________

Calculate the product or quotient

[tex]42[/tex]

I hope this helps you

:)

For the following pairs, indicate which do not comply with the rules for setting up hypotheses, and explain why. (Select all that apply.)
(a) H0: ? = 15, Ha: ? = 15
This pair complies.This pair does not comply because ? is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.
(b) H0: p = 0.5, Ha: p > 0.6
This pair complies.This pair does not comply because p is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.
(c) H0: ? = 121, Ha: ? < 121
This pair complies.This pair does not comply because ? is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.
(d) H0: ? = 123, Ha: ? = 125
This pair complies.This pair does not comply because ? is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.
(e) H0: p? = 0.2, Ha: p? ? 0.2
This pair complies.This pair does not comply because p? is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.

Answers

It can be inferred that H0: ? = 15, Ha: ? = 15 doesn't comply because both hypothesis use an equal sign.

How to illustrate the hypothesis?

From the information, H0: p = 0.5, Ha: p > 0.6 doesn't comply because the two hypothesis use different numbers.

Furthermore, H0: ? = 121, Ha: ? < 121 shows that the pair complies. Also, H0: ? = 123, Ha: ? = 125 doesn't comply as they use the equal sign and different numbers.

Lastly, H0: p? = 0.2, Ha: p? ? 0.2 doesn't comply because p is not a population characteristic.

Learn more about hypothesis on:

https://brainly.com/question/11555274

A simple random sample of earthquake depths yields the following:
n=600, x=5.82 km, and s=4.93 km
use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00km

Answers

The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region.

Test-Static t

Data;

mean = 5.82s = 4.93n = 600

Let's calculate the t-value

[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } }[/tex]

Substitute the values into the equation and solve;

[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } } \\t = \frac{5.82 - 5}{\frac{4.93}{\sqrt{600} }} \\t = \frac{0.82}{0.201} \\t = 4.079[/tex]

The t-value is 4.079.

The allowed significance value = 0.01

The degree of freedom is n -1, which becomes 600 - 1 = 599.

The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.

Learn more on t-test here;

https://brainly.com/question/6501190

What is the mode of the data set? 78, 82, 91, 78, 92, 77, 80, 74, 81

A. 92
B. 78
C. 85.5
D. 77

Answer: B

Answers

Answer:

B. 78

Step-by-step explanation:

78 It is the most frequent data (2)

Hope this helps

need help with geometry (number 19)

Answers

Answer:

The answer is 65

Step-by-step explanation:

As تھ measure of angles of rectangle is 90

So 90-25 is equal to 65

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Please help :) (its for my friend, cause she wont belive me!)


If your friend has 7 apples, you take 3. How much do you have?

Answers

Answer:

the answer its 3 :)

Step-by-step explanation:

matematicas amigo

HELP ASAP.


39 BRAINLY POINTS PLUS BRAINLY USER​

Answers

Answer:

1

Step-by-step explanation:

Given:

m = 12 n = 1/4

Substitute the values into the expression:

1/2(m - 4) × n

⇒ 1/2(12 - 4) × 1/4

Simplify the expression:

⇒ 1/2(8) × 1/4

⇒ 4 × 1/4

⇒ 4 ÷ 4

1 (Option B)

Answer:

D. 1

Step-by-step explanation:

can someone please help me with this math problem

Answers

Answer:

I think the correct answer is A

Answer:

A

Step-by-step explanation:

Plot the points on the coordinate plane in order to find out which one is the correct polygon.

In this case, A has all of the correct points and is therefore the correct answer.

Hope this helps!

Write an equation in slope-intercept form of the line shown.
An equation is

Answers

Answer:

y = 3/4x - 1

Step-by-step explanation:

m = (1-4)/(4-8) = -3/-4 = 3/4

b = (0, -1)

y = mx + b

y = 3/4x - 1

BRAINLIEST please if this helps!
Y=3/4x -1
-1 is the lines y-intercept
And from (4,1) to (8,4) it goes up 3 and to the right 4

Go math help very easy points​

Answers

Answer:

5, 10, 11, 12, 13, 14, 23, 28, 32, 32, 36, 41, 51, 63, 65

alsooo...

wHy cOUldn'T u dO It

OoooOooOOooooOOOO

brainly is NOT a cheat sheet :)

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