Which expression is a fourth root of -1 + i sqrt{3} please help

Answer:

301, 35

Step-by-step explanation:

1st number = x, 2nd = y

x + y = 336

x = 126 + 5y

Then

(126 + 5y) + y = 336

6y = 336 - 126 = 210

y = 210/6 = 35

x = 126 + 5y = 126 + 5*35 = 301

Or x = 336 - 35 = 301

The two numbers are 301 and 35

Number lines are used to represent numbers and ratios using regular intervals

Nuka can weave 8.75 cm of strip in 5 minutes

Represent the ratio with:

Ratio = Length : Time

From the number line, they can weave 7cm of the strip in 4 minutes.

So, we have:

Ratio = 7cm : 4 minutes

Represent the length of strip made in 5 minutes with x.

So, we have:

x : 5 minutes = 7cm : 4 minutes

Remove the common units

x : 5 = 7cm : 4

Express as fraction

[tex]\frac x5 = \frac 74[/tex]

Divide 7 by 4

[tex]\frac x5 = 1.75[/tex]

Multiply through by 5

[tex]x= 8.75[/tex]

Hence, Nuka can weave 8.75 cm of strip in 5 minutes

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Answer:

the answer would be -202

Step-by-step explanation:

since the number your starting with is 23 you would take 23 and × by 3 which gives you 69 then take -32 and subtract that by 69 then what ever you got for that you would multiply it by 2 and then get -202

Answer:

7km

Step-by-step explanation:

[tex] {15}^{2} + {8}^{2} = {c}^{2} \\ 225 + 64 = 289 \\ {c}^{2} = 289 \\ c = \sqrt{289 } \\ c = 17km[/tex]

Answer:

The domain of the relation is 0 ≤ x ≤ 4

The range of the relation is all real numbers  (-∞, ∞)

Step-by-step explanation:

Domain : the set of possible x-values (the "input" values)

Range : the set of y-values (the "output" values)

The domain of the relation is 0 ≤ x ≤ 4

The range of the relation is all real numbers (-∞, ∞)

How to identify domain and range from coordinate pairs?

Here

Here range is

Answer: See below

Step-by-step explanation:

Game 1:

20 total numbers

Probability = Multiples of 3 and 7/Total Numbers

P = 8/20

P = 2/5 or 40%

Game 2:

20 total even or odd numbers

Probability = Number of even and odd/Total Numbers

P = 20/20

P = 1 or 100%

Game 3:

8 prime numbers and 1 = 9 total

Probability = Number of prime numbers or 1/Total Numbers

P = 9/20 or 45%

a) The probability of a multiple of 3 or a multiple of 7 is 40%.

b) The probability of even and odd is 100%.

c) The probability of the number being prime is 45%.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Game 1:

20 total numbers

Probability = Multiples of 3 and 7/Total Numbers

P = 8/20

P = 2/5 or 40%

Game 2:

20 total even or odd numbers

Probability = Number of even and odd/Total Numbers

P = 20/20

P = 1 or 100%

Game 3:

8 prime numbers and 1 = 9 total

Probability = Number of prime numbers or 1/Total Numbers

P = 9/20 or 45%

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Answer:

A is 75

B is 15

C is 105

Step-by-step explanation:

90-75=15

B is 15

A and C have a total of 180 degrees

180-75=105

C is 105

180-105=75

A is 75

Answer: 3 gallons of water

Step-by-step explanation:

3 gallons of alcohol +3 gallons of water = 6 gallons total

alcohol = 3/6 = 50%

Answer:

Step-by-step explanation:

a = [tex]\frac{5*10^2}{2}[/tex] = 250

b = [tex]\frac{2*10^2 (10-5)}{10*10}[/tex] = 10

Answer:

A = 500

[tex]b = 2 {x}^{3} - \frac {{x}^{2} }{10} [/tex]

Answer:

  22

Step-by-step explanation:

Let x represent the number of houses on each street. Normally, Jake delivers 7x papers, and Ryan delivers 3x papers. On the day when Ryan delivered 45 of Jake's papers, we have ...

  (3x +45) > (7x -45)

  90 > 4x . . . . . . . . . . . add 45 -3x to both sides

  22.5 > x . . . . . . . . . . divide by 4

The number of houses on each street will be an integer, so the maximum number of houses on each street is 22.

_____

Additional comment

If Jake normally delivers more than 45 papers, then we must also have ...

  7x > 45

  x > 6 3/7

There must be at least 7 houses on each street.

Answer:

A

Step-by-step explanation:

f - g = (3x - 2) - (2x + 1) = x - 3

A

Answer:

−9583333/10000000

Step-by-step explanation:

Answer:

1/27

Step-by-step explanation:

If (-3, y) lies on the graph of y = 3^x, then we can find y by filling in the given x and calculating y

They gave us that x is -3 (the first number in an ordered pair is the x).

y = 3^x

y = 3^(-3)

y = 1/(3^3)

**You "fix" a negative exponent by pushing across a fraction bar; that changes the sign of an exponent**

y = 1/27

Because3^3 is 3×3×3 is 27

Answer:

2 8

3 27

4 64

5 125

6 204

7 343

8 512

9 729

10 1000

Answer:

y = 6

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}-x+3y=9\\y = \dfrac{2}{3}x\end{cases}[/tex]

Step 1: Substitute the second equation into the first and solve for x.

[tex]\\\implies -x+3\left(\dfrac{2}{3}x\right)=9\ \textsf{[ Multiply. ]}\\\\\implies -x+2x=9\ \textsf{[ Combine like terms. ]}\\\\\implies \boxed{x=9}[/tex]

Step 2: Substitute 9 as the value of x in any equation and solve for y.

[tex]\\\implies-9+3y=9\ \textsf{[ Add 9 to both sides. ]}\\\\\implies -9+9+3y=9+9\\\\\implies 3y=18\ \textsf{[ Divide both sides by 3. ]}\\\\\implies \dfrac{3y}{3}=\dfrac{18}{3}\\\\\implies \boxed{y=6}[/tex]

The solution to the given system of equations is (9, 6).

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Answer:

2x^2

Step-by-step explanation:

If you're going to double x^2, you just need to multiply it by 2. You can just put the 2 in front of the x^2 because the order of operations says to do exponents before multiplication.

Answer:

The mean is 321.67 which can be rounded to 321.7 or 322

Step-by-step explanation:

360+310+280+330+310+340 = 1930

1930 / 6 = 321.666666667

The mean is 321.67 which can be rounded to 321.7 or 322

Hope this helps!

Answer:

73.5 in^2

Step-by-step explanation:

Box has six sides as represented in the image. Since it is a square, you can multiply the 2 sides to find area of the square. 3.5x3.5=12.25 and since there are 6 sides, 12.25x6=73.5.

Answer:

x+(2+x)+(4+x)+(6+x)= x+12

2x + 6+x = 3x +6

2+ x + 4+x= 2x + 6

2x + 6 + 11 = 3x+6

2x + 17 = 3x +6

3x-2x = 17-6

x = 11

therefore the four consecutive odd integers are

11, 13, 15 and 17

Answer:

4 ( x - 5 ) x ( x + 5 )

Step-by-step explanation:

1- Factor the expression

2- Factor the expression

Answer:

They are both correct because you should use both to solve the question. To solve it you will have to find the GCF first and then you find the difference of two squares.

Step-by-step explanation:

4x^2 -100

[tex]4(x ^{2} - 25)[/tex]

This would be finding the Greatest common factor

[tex]4(x - 5)(x + 5)[/tex]

This would be finding the difference of two squares

hopefully this is a good enough explanation

Answer:

Similar (Like) fractions are fractions with same denominators. On the other hand, dissimilar (Unlike) fractions are fractions with different denominators.

Step-by-step explanation:

hope it helps you

Answer:

Rule: A=50n

Step-by-step explanation:

Because each purse is 50 pesos, and n is the number of purses, and 50n would be the total cost, otherwise known as A.

Our rule is: A=50n

Then we insert 3 values for n, and solve to get the ordered pairs.

n=3 purses, A=3*50=150 dollars

n=4 purses, A=200 dollars

n=5 purses, A=250 dollars

Dilation involves changing the size of a square

The vertices of the image are (0,0), (5,10), (15,5) and (10,-5)

The vertices of the square are given as:

D(0,0), E(2, 4), F(6,2), and G(4,-2)

The scale factor (k) is given as:

k = 5/2

So, the image of the square is:

[tex]D' = 5/2 * (0,0) = (0,0)[/tex]

[tex]E' = 5/2 * (2, 4) = (5,10)[/tex]

[tex]F' = 5/2 * (6, 2) = (15,5)[/tex]

[tex]G' = 5/2 * (4,-2) = (10,-5)[/tex]

Hence, the vertices of the image are (0,0), (5,10), (15,5) and (10,-5)

Read more about dilation at:

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Answer:

See below.

Step-by-step explanation:

(5a^2 + 4ab – 3b^2) – (–5ab + 4b^2 + 3a^2)

5a^2+4ab-3b^2+5ab-4b^2-3a^2

(5a^2-3a^2)+(4ab+5ab)+(-4b^2-3b^2)

2a^2+9ab-7b^2

-hope it helps

Answer:

You can answer this with modern calculators very easily.

Answer:

11y+22

Step-by-step explanation:

Answer and Step-by-step explanation:

For this equation, you need to use the distributive property. Before we can solve this, we need to know what the distributive property is. (Important:) The distribute property is where a number is directly outside the parenthesis and is multiplied to each number inside the parenthesis.

With that being said, let's rewrite this expression. Because 11 is outside the parenthesis, multiply it to each of the numbers inside the parenthesis. The numbers 11 x 2 = 22, so:

(y + 2)11 = 11y + 22.

We can remove the parenthesis now that the equation has changed. The reason why the 11 is in front of the y is because it is a coefficient. Coefficients always are written before a variable, which is the y in this case.

So, the answer is 11y + 22.

I hope that this helps.

Answer:

below

Step-by-step explanation:

6x6x3=108

Answer:

1 / 5^7 the last one is correct

Answer:

I checked and the person above is correct