Which of the following options best represents the modulus of the fifth roots of √5 + 2i?

Answer:

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Step-by-step explanation:

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Answer:

1/10

Step-by-step explanation:

4/5x1/8=4/40=1/10

Answer:

47.3

Step-by-step explanation:

180-90-42.7=47.3

Answer:

47.3

Step-by-step explanation:

this is a right triangle, which means that Angle O is 90°

90 + 42.7 = 132.7

180 - 132.7 = 47.3

Answer:

hmmhhhhhhhhbmmmmhhhm

Answer:

Fred is 26 and Natalie is 12

Step-by-step explanation:

X= Fred's age

Y= Natalie's age

x+y=38

x+4y=74

Use the first equation and isolate the variable x to one side.

x+y=38

 -y= -y

x=38-y

Now use this equation and subsitute it into the second equation.

(38-y) + 4y = 74

Simplify to find y

38+3y=74

-38     =-38

3y=36

÷3   ÷3

y= 12

Now that we know y, input it into the second equation to find x.

x+12=38

  -12   -12

x= 26

Fred is 26 and Natalie is 12

hope this helps :)

Answer:

$10.59

Step-by-step explanation:

6% of 9.99 is 0.5994, so you round it to 0.60, then add it to 9.99.

Answer:

Take away the 58 boxes from the 72 boxes and you will have 14 boxes left.

Then you have to multiply the 14 boxes left, by the 12 packs of pencils what gives you 168 packs of colouring pencils left.

Answer:

I don’t know the answer I just need some points to ask more questions !!! have a good day !!

Step-by-step explanation:

Answer:a b and c are 6

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer: x = 2

Step-by-step explanation:

first, we remove the parentheses.

10 - 54 - 24x = 10x - 120 + 8

then, we just calculate that out.

-44 - 24x = 10x - 112

next, we move the terms.

-24x - 10x = -112 + 44

then, we collect the like terms and calculate it.

-34x = -68

finally, we divide both sides.

x = 2

Answer:

180 minutes

Step-by-step explanation:

60x3

Answer:

27

Step-by-step explanation:

9³÷3³=729÷27

         = 27

Answer:

the answer is 3

Step-by-step explanation:

Answer:

The value of d = -5

The polynomial function   x³ +5 x² - 4x -20 =0

Step-by-step explanation:

Explanation

Given that the equation is third degree polynomial

p(x) = x³ - d x² - 4x -20

Given factors x= 2 and x=-2

Substitute 'x' = 2 in given polynomial

     8 -d(2²)-4(2) - 20 =0

⇒   8 - 4 d - 8 -20=0

⇒     - 4 d-20 = 0

⇒    - 4 d = 20

⇒         d = - 5

The value of d = -5

Verification:-

After substitution d =-5 in given polynomial

x³ - (-5) x² - 4x -20 =0

put x=2

8 +5(4)-8-20 =0

             20 =20

The factors are x= 2 and x=-2 of the given polynomial

Answer:

(c) n = 100, p = 0.2

Step-by-step explanation:

To approximate to use the normal distribution for a binomial, we need that:

[tex]np \geq 10, n(1-p)\geq 10[/tex]

So, for each option

(a) n = 10, p = 0.5

[tex]np = 10*0.5 = 5 < 10[/tex]

So not appropriate

(b) n = 40, p = 0.88

[tex]np = 40*0.88 = 35.2 > 10[/tex]

[tex]n(1-p) = 40*0.12 = 4.8 < 10[/tex]

So not appropriate.

(c) n = 100, p = 0.2

[tex]np = 100*0.2 = 20 > 10[/tex]

[tex]n(1-p) = 100*0.8 = 80 > 10[/tex]

So appropriate

(d) n = 100, p = 0.99

[tex]np = 100*0.99 = 99 > 10[/tex]

[tex]n(1-p) = 100*0.01 = 1 < 10[/tex]

So not appropriated

(e) n = 1000, p = 0.003

[tex]np = 1000*0.003 = 3 < 10[/tex]

So not appropriate

A Normal distribution to approximate probabilities for a binomial distribution with the given values of n = 100 and p = 0.2.

Given that,

Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p.

We have to determine,

In which of the following situations would it be appropriate to use a normal distribution to approximate probabilities for a binomial distribution with the given values of n and p.

According to the question,

Probabilities for a binomial distribution with the given values of n and p.

(a) n = 10, p = 0.5

(b) n = 40, p = 0.88

(c) n = 100, p = 0.2

(d) n = 100, p = 0.99

(e) n = 1000, p = 0.003

To approximate to use the normal distribution for a binomial is given as,

[tex]np\geq 10 , \ n(1-p)\geq 10[/tex]

        [tex]= np \geq 10\\\\= 10 \times 0.5 = 5<10[/tex]

The normal distribution is less than 10 so, this not appropriate.

        [tex]= n.p \geq 10\\\\= (40).(0.88) \geq 10\\\\= 35.2\geq 10\\\\Then,\\=n(1-p) = 40(1-0.88) \geq 10 \\\\= 40\times 0.12 \geq 10 = 4.8\leq 10[/tex]

The normal distribution is less than 10 so, this not appropriate.

        [tex]= n.p \geq 10\\\\= (100).(0.2) \geq 10\\\\= 20\geq 10\\\\Then,\\=n(1-p) = 100(1-0.2) \geq 10 \\\\= 100\times 0.8\geq 10 = 80\geq 10[/tex]

The normal distribution is greater than 10 so, this appropriate.

        [tex]= n.p \geq 10\\\\= (100).(0.99) \geq 10\\\\= 99\geq 10\\\\Then,\\=n(1-p) = 100(1-0.99) \geq 10 \\\\= 100\times 0.01\geq 10 = 1\leq 10[/tex]

The normal distribution is less than 10 so, this not appropriate.

        [tex]= np \geq 10\\\\= 1000 \times 0.003 = 3<10[/tex]

The normal distribution is less than 10 so, this not appropriate.

Hence, A Normal distribution to approximate probabilities for a binomial distribution with the given values of n = 100 and p = 0.2.

To know more about Binomial Distribution click the link given below.

https://brainly.com/question/16776778

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Answer:

It will have a 4 and then a five on the top right of it.

Step-by-step explanation:

4^5

Answer:

4^{5}

Step-by-step explanation:

Just basically what the other person said.  

4 exponent 5

(3, 17) and (5,23)

23-17= 6

5-3=2

y-17=m(3-x)

m=3

Answer:

b. 2n-8

Reason

Distribute the 2.

6/4n +16 + 2/4n -24

Simplify

6/4n + 2/4n = 8/4n = 2n

16 - 24= -8

Then you get 2n-8

Answer:2N-8

Step-by-step explanation: I got it right

Answer:

46

Step-by-step explanation:

To breakeven, the total cost of the company which is the sum of the fixed and variable cost will be equal to the total sales of the company such that the profit/loss is zero.

Let x be the number of screwdriver that must be produced  daily to break even

Then

68 + 1 * x = 2.5 * x

68 + x = 2.5x

collect like terms

68 = 2.5x - x

1.5x = 68

Divide both sides by 1.5

x = 68/1.5

= 45.33

This would be approximated to 46 screws

Answer:

there's no image lol

Step-by-step explanation

Answer:

interest = $5040

total= $6090

Step-by-step explanation:

1050 × .16 = 168

168 × 30 = $5040

$1050+ $5040 = $6090

Answer:

We get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]

Or we can write as:  [tex]\mathbf{-10<n<8}[/tex]

The graph is shown is figure attached below:

Step-by-step explanation:

We need to solve the inequality [tex]-1<9+n<17[/tex] and graph the answer.

Solving the inequality

[tex]-1<9+n<17[/tex]

We know that if a<u<b then we can write a<u and u<b

So, we can write

[tex]-1<9+n \:and\: 9+n<17[/tex]

Solving these equations and finding values of n

[tex]-1<9+n \:and\: 9+n<17\\9+n>-1\:and\:9+n<17\\n>-1-9\:and\:n<17-9\\n>-10\:and\:n<8[/tex]

So, we get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]

We can write it as: -10< n and n<8

Overlapping we get: [tex]\mathbf{-10<n<8}[/tex]

The graph is shown is figure attached below:

Answer:

27 degrees

Step-by-step explanation:

Answer:

a = 27° ______

Step-by-step explanation:

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Answer:

25/16

Step-by-step explanation:

Remember, keep-change-flip

Turn this into a multiplication equation

[tex]\frac{5}{8} * \frac{5}{2}[/tex]

Multiply to get 25/16

Answer:

cannot see equations to select from but I got '7.50 + 1.75x = 42.50'

20 refills

Step-by-step explanation:

7.50 + 1.75x = 42.50

1.75x = 35

x = 35 / 1.75

x = 20

9514 1404 393

Answer:

Step-by-step explanation:

blank 1

Locate x = 7 and find the y-value where the blue curve crosses.

  f(7) = 1

blank 2

Locate x = -9 and find the y-value where the red curve crosses.

  g(-9) = 4

blank 3

Locate y = 0 (the x-axis) and find the x-value where the blue curve crosses.

  f(8) = 0

blank 4

Locate y = 2 and find the x-value where the red curve intersects.

  g(9) = 2