Math homework, don't get it please explan!

If you raise a cube root of -2 to the third power, the resulting number will have a congruent argument. We have

-2 = 2(cos 180º + i sin 180º)

Pick a number from the 4 given options, and raise it to the third power using DeMoivre's theorem. For example,

[tex]\left(\sqrt[3]{2}\left(\cos90^\circ+i\sin90^\circ\right)\right)^3=2\left(\cos(3\cdot90^\circ)+i\sin(3\cdot90^\circ)\right)=2(\cos270^\circ+i\sin270^\circ)=-2i[/tex]

so the first option is not a cube root of -2 because the argument 270º is not congruent to 180º. Similarly, the second and fourth options are also not cube roots of -2.

On the other hand,

[tex]\left(\sqrt[3]{2}(\cos60^\circ+i\sin60^\circ)\right)^3=2(\cos180^\circ+i\sin180^\circ)[/tex]

so the third option is a cube root of -2.

Answer:   13 units

Step-by-step explanation:

Answer:

He can make 4 groups as for the 5th group he left with 4 cookies.

So your answer would be 4 groups and 4 cookies.

hope it helps!

Answer:

He should expect to land on it 12 times

Step-by-step explanation:

He got an even number 30 times out of 50 rolls. So that is 30/50 or 3/5, you then multiply 20 by 3/5 giving you 12

You answer would be 27, if I did my maths correct.

You get 27 by doing:

9*4=36

36-9=27

Correct me if I am wrong thank you!

Answer:

At first I got 39 but then I redid it and got 27!

Answer:

B) [tex]3^{4} \neq 243[/tex]

Step-by-step explanation:

Answer:

60ft^2

Step-by-step explanation:

60% of 10 is 6 and LxW is 10x6 so the area is 60 feet

Answer: The right angle is at angle C

Step-by-step explanation:

Yes, the angle is a right angle at C (Edge option D)

Answer:

A.) 1/8 Inches

Step-by-step explanation:

Answer:

(0,12)

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Because 14-6= 8 and then 14+8= 22

Answer:

62.5%

Step-by-step explanation:

Total money with Jackson = $8

Money spent for buying collectible  = $5

__________________________________________________

Percentage of any number A with respect to another number B is calculated by multiplying fraction A/B with 100

Numerically A as percentage of b will be expressed as (A/B)100 %

It means that if there are 100 items instead of B item then what will be the value of A.

______________________________________________________

Percentage of money spent = (Money spent for buying collectible /Total money with Jackson)

Substituting the total money and money spent for buying collectible

we have

Percentage of money spent  = 5/8 * 100 = 0.625*100 = 62.5%

Thus, 62.5% percent of his money will Jackson spend on the purchase of collectible.

Answer:

P(6) = 5

Step-by-step explanation:

The dice is cast 30 times (k = 30)

So if the big numbers apply, then you would expect the outcome to be evenly distributed, meaning

5 x 1

5 x 2

5 x 3

5 x 4

5 x 5

5 x 6

____ +

30 casts in total (evenly distributed over all numbers of the dice)

P(6) = 1/6 * 30

P(6) = 5

Answer:

Step-by-step explanation:

There are a couple of factored forms that are used here:

  (a +b)² = a² +2ab +b² . . . . the sign of "2ab" will match the sign of b

  a² -b² = (a -b)(a +b)

__

Part A:

 Since this trinomial is known to be a perfect square, you can find the binomial(s) by looking at the roots of the first and last terms.

  √(4a²) = 2a

  √25 = 5

The factoring is ...

  4a² -20a +25 = (2a -5)²

__

Part B:

This is the difference of perfect squares, so the terms of the factors can be found as in the previous part.

  √(9a²) = 3a

  √(16b²) = 4b

Using the above factored form, we have ...

  9a² -16b² = (3a -4b)(3a +4b)

Answer:

52.374 cm*3

Step-by-step explanation:

the upper triangle is equal to the bottom triangle

Btw fyi the formula of calculating the value of a prism is:

area of the base × height

Answer:

C = 48.9

Step-by-step explanation:

C= 5F-160 /9

C= (5F -160)/ 9

Put F =120

C = (5(120) - 160)/9

C= (600 - 160)/9

C = 440/9

C = 48.89≈ 48.9

Answer:

m<2 is 66 and m<1 is 114

Step-by-step explanation:

add the given angles together, that is the outaide angle. then subtract that from 180 and you get angle 2

Answer:

494cm2

Step-by-step explanation:

Área = (base × height)/2

Área=(38×26)/2=988/2=494cm²

Answer:

A and E

Step-by-step explanation:

I would plug in N as any number just to see if they are equal. I did 5.

A. 28(5)-35= -105

B. 28(5-35)= -840

C. 28(5-7)= -56

D. 7(4*5-35)= -105

E. 7(4*5-5)=  105

Answer:

The third one

Step-by-step explanation:

Its because we need to find the number that it has grown.

so we add the number that it grew to the size it was before.

Answer: 1.85 + x = 5.30

Step-by-step explanation: If we know that Ethan planted a tree that was 1.85 meters tall from the start and several years later it's 5.30 meters tall, we know that something must have been added to the 1.85 in order to get 5.30 meters tall. Since we don't know what that value is, we can use x.

X is an example of a variable. A variable is just a letter that represents any number so in this case, it represents how much the tree has grown over a time period of several years.

So we can write this as 1.85 + x = 1.30.

Answer: B. 117 in

Step-by-step explanation:Took the test Trust

Hope this helps -----

The surface area that will be frosted with icing is 205in²

It will be equal to the sum between the top surface, which measures:

S = 13in*9in = 117 in²

And the four lateral sides, two of them measure:

s' = 2in*9in = 18in²

The other two measures:

s'' = 13in*2in = 26in²

Then the total surface area that must be frosted is:

SA = 117 in² + 2*( 18in²) + 2*(26in²) = 205 in²

So we conclude that the correct option is C.

If you want to learn more about surface areas:

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Answer: 4

Step-by-step explanation:

Using pythagoras theorem =>

b=[tex]\sqrt{c^2-a^2[/tex]

b=[tex]\sqrt{5^2-3^2}[/tex]

b=[tex]\sqrt{25-9}[/tex]

b=[tex]\sqrt{16}[/tex]

b=4

Answer:

4

Step-by-step explanation:

Use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

The measure of the hypotenuse is 5. The measure of the given leg is 3.

[tex]3^2+b^2=5^2\\\rightarrow 3^2 = 9; 5^2=25\\9+b^2=25\\9-9+b^2=25-9 \leftarrow \text {Subtraction Property of Equality} \\b^2=16\\\sqrt{b^2}=\sqrt{16} \leftarrow \text {Square Root Property of Equality}\\\boxed {b=4}[/tex]

The unknown side of the triangle should be four units.

Answer:

5/32

Step-by-step explanation:

You would change 1/2 to 2/4 so you can subract 1/2 from 3/4 .You do 3/4-2/4 and you get 1/4.Then you would multiply the height and width so you multiply 1/4 and 1 1/4 and 1/2.

Find Volume of water.

V=lwh

V= 1/2 x 1/2 x 5/4

V=5/16.

Find Volume of The whole shape.

V=lwh

V= 1/2 x 5/4 x 3/4

V=15/32.

Subtract : 15/32-5/16=5/32

VOLUME OF MISSING PART = 5/32 meters cubed

Answer:

0.555 in

Step-by-step explanation:

The first thing we must do is calculate the volume of the machine, the volume of a wait is:

v = (4/3) * pi * (r ^ 3)

we know that the diameter is twice the radius, therefore:

r = d / 2 = 20/2

r = 10, replacing:

v = (4/3) * 3.14 * (10 ^ 3)

v = 4186.66 in ^ 3

Now, we know that by leaving 40% of space in the machine there are 3,500 chewing gums, therefore, 60% of that volume is chewing gum.

4186.66 * 0.6 = 2512

to calculate the volume of a chewing gum:

3500 * v = 2512

v = 2512/3500

v = 0.7177 in ^ 2 is the volume of a single chewing gum

if we solve the sphere formula for r, we are left with:

r ^ 3 = v * (3/4) / pi

replacing

r ^ 3 = 0.7177 * (3/4) /3.14

r ^ 3 = 0.1714

r = 0.1714 ^ (1/3)

r = 0.555

the radius of each gum is 0.555 in

Answer:

The z-score for 7.90 oz. is -3.57

Step-by-step explanation:

Data

From definition of z-score:

Z = (x - mean)/sd

Replacing with data:

Z = (7.9 - 8.15)/0.07

Z = -3.57

Answer:

Step-by-step explanation:

Hypotenuse^2=4^2+10^2=16+100

Hypotenuse^2=116

Hypotenuse=square root of 116

units

The length of the hypotenuse is √116.

Option D is the correct answer.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Hypotenuse = H

Applying the Pythagorean theorem.

H² = 4² + 10²

H² = 16 + 100

H² = 116

H = √116

Thus,

The length of the hypotenuse is √116.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

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Answer:

48÷3=16

Step-by-step explanation:

In the expression, 96 divided by 8 = a , the quotient a =12

. Divide 12 lizards into 6 equal groups. How many lizards are in each group?

There are2

lizards in each group.

Answer:

1.    16

2.   6

3.    2

Step-by-step explanation:

Answer:

i think its a

Step-by-step explanation: