a value which represents any quantity along a number line

A:rational number

B:irrational number

C: real number

D:infinite ​

Answer:

[tex]z = 3 + i[/tex] is complex as [tex]a,b\in \mathbb{R}[/tex], [tex]b \neq 0[/tex].

Step-by-step explanation:

A complex number comprehends all numbers of the form:

[tex]z = a+i\cdot b[/tex], [tex]\forall \,a,b\in \mathbb{R}[/tex]

Where [tex]i = \sqrt{-1}[/tex].

In other words, complex numbers are an extension of real numbers.

There is the following classification depending on what values of [tex]a[/tex] and [tex]b[/tex] exist:

Real - [tex]a \in \mathbb{R}[/tex], [tex]b = 0[/tex]

Complex - [tex]a,b\in \mathbb{R}[/tex], [tex]b \neq 0[/tex]  

Pure imaginary - [tex]a = 0[/tex], [tex]b \neq 0[/tex] (The term "nonreal complex" is a synonym for pure imaginary complex)

Let be [tex]z = 3 + i[/tex], which is complex as [tex]a,b\in \mathbb{R}[/tex], [tex]b \neq 0[/tex].

The number contains both real and imaginary parts, hence it is classified as a complex number.

Complex numbers are square roots of negative numbers. They are represented using the letter "i".

Complex number is expressed as z = x + iy where:

Given the value 3+i, since the number contains both real and imaginary parts, hence it is classified as a complex number.

Learn more on imaginary axis here: https://brainly.com/question/1142831

Answer:

personal budget

Step-by-step explanation:

Drawing up a budget is a good way to plan your expenditure based on how much money you expect to receive. Budgets are often estimates, because you cannot easily include unexpected expenses in a budget. However, you can plan to save some money that you can use in the event of an unexpected expense. Budgeting includes normal monthly budgeting and budgeting for particular expenses, such as an expensive item that you want to buy, a project or a trip overseas.

Answer:

(6,-2)

Step-by-step explanation:

The picture as shown, A would be flipped across the line which leaves it landing on (6,-2)

Hope this helped you :)

Step-by-step explanation:

M-8=11

M=11+8

M=19

hope it helps u

Answer:

Add 8 to both sides of the equation

m=19

Step-by-step explanation:

The equation given is:

m-8=11

We want to solve the equation for m. To do this, we must isolate m on one side of the equation.

8 is being subtracted from m. The inverse of subtraction is addition. Add 8 to both sides of the equation.

m(-8+8)= 11+8

m= 11+8

m= 19

The step used to solve the equation is adding 8 to both sides and the solution is m=19

Answer:

Set the polynomial equal to y to find the properties of the parabola. y = 3 x 2 + 12 x − 9 Complete the square for 3 x 2 + 12 x − 9 . Tap for more steps... 3 ( x + 2 ) 2 − 21 Set y equal to the new right side. y = 3 ( x + 2 ) 2 − 21

Hoped I helped

Answer:

u =88

Step-by-step explanation:

[tex]15 + u - 22 = 81[/tex]

Collect like terms and simplify

[tex]u=81+22-15\\\\u = 88[/tex]

Answer: B. 80

Step-by-step explanation: Simply times 24 by 10, then divide it by 3.

Answer:

B.   80 miles

Step-by-step explanation:

A bike travels 24 miles in 3 hours

how many miles does it travel in 10 hours  at the same rate/

its a ratio and proportion

24 miles            x

-------------  =  --------------

3 hours             10 hours

cross multiply:

3 x = 24 (10)

3 x = 240

x = 240 miles / hour

              3 hours

x = 80 miles

so the answer is B.  80 miles

Answer:

18

Step-by-step explanation:

3z + 4z +4 -2 -5z

Combine like terms

3z + 4z  -5z  +4-2

2z+2

Let z=8

2*8 +2

16+2

18

Answer:

18

Step-by-step explanation:

When z=8

Substitute 8 wherever u see z

3(8)+4(8)+4-2-5(8)

24+32+4-2-40

18

Answer:

See image below

Both values are approximate, rounded to 3 decimal places.

===================================================

Explanation:

I'm assuming you meant to say 16:9 instead of 16:97

The ratio 16:9 means that the horizontal width is 16x units and the height is 9x units. They form the ratio 16x:9x which reduces to 16:9

She wants the tv to be the same size as her old one, so the new tv will also have a diagonal of 42 inches (tv sizes are measured by the length of the diagonal).

Through the pythagorean theorem, we can say

a^2+b^2 = c^2

(16x)^2 + (9x)^2 = (42)^2

256x^2 + 81x^2 = 1764

337x^2 = 1764

x^2 = 1764/337

x^2 = 5.23442136498517 approximately

x = sqrt(5.23442136498517)

x = 2.28788578495194

x = 2.288

--------

This means the dimensions would be

width = 16x = 16*2.288 = 36.608 inches

height = 9x = 9*2.288 = 20.592 inches

both are approximate

Answer:

900

Step-by-step explanation:

The sum of the interior angles of a polygon with n sides is given by the formula:

[tex]S=(n-2)180[/tex]

The polygon given has 7 sides. Substitute 7 for n. Thus:

[tex]S=(7-2)180\\S=5(180)\\S=900[/tex]

The sum of the interior angles is 900 degrees.

Answer and Step-by-step explanation:

Left: 1 ten + 8 ones = 18

Right: 2 tens + 9 ones = 29

You get this answer by adding all of the cubes together. You could also see that the long blocks count up to ten so you could subtract how much you added by ten to get the ones.

Hope this helped you out! Have a wonderful day!

Answer:

The expected value for the random variable is 14.16.

Step-by-step explanation:

We are given the following data below;

          Z                               P(Z)                        [tex]Z \times P(Z)[/tex]

          9                               0.16                           1.44

         12                              0.25                             3

         15                              0.36                           5.4

         18                               0.17                           3.06

         21                              0.06                          1.26        

       Total                             1                              14.16        

Now, the expected value for the random variable Z is given by;

          E(Z) = [tex]\sum Z \times P(Z)[/tex]

                  = [tex](9 \times 0.16) + (12 \times 0.25) +......+(21 \times 0.06)[/tex]

                  = 14.16.

Answer:

[tex]n = 4.5[/tex]

Step-by-step explanation:

We can turn these words into a real equation. This gets us:

[tex]7n + 3 = 39 - n[/tex]

We want to isolate [tex]n[/tex] on one side of the equation.

Let's add [tex]n[/tex] to both sides:

[tex]7n + n + 3 = -39 - n +n\\\\8n + 3 = -39[/tex]

Subtract 3 from both sides:

[tex]8n+3-3 = 39-3\\\\8n = 36[/tex]

Divide both sides by 8:

[tex]8n \div 8 = 36 \div 8\\\\n=4.5[/tex]

Hope this helped!

Answer:

2 4/11

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

26/11

Decimal Form:

2.36

Mixed Number Form:

2 4/11

Answer:

2 4/11

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1 + 1 = 2

you can also use your left finger thumb and the right finger thumb

then add them together 1 + 1 makes 2

Answer:

Jeff can walk 3.75 miles per hour, so in 3 hours, he can walk 11.25 miles without any breaks, so, for each hour, you'll add 3.75 miles per hour. So, for the amount of hours, its would be (Answer) t.

Hope this helps! Have a nice day! ;D

Step-by-step explanation:

The linear function d that represents the total distance that Jeff can walk will be d = 3.75t

From the information given, Jeff can walk comfortably at 3.75 miles per hour and he can walk in t hours, therefore, the linear function d that represents the total distance that Jeff can walk will be:

d = 3.75 × t

d = 3.75t

In conclusion, the correct option is d = 3.75t.

Read related link on:

https://brainly.com/question/16895986

Answer:

Step-by-step explanation:

2x - 3y = - 1 ………… Equation 1

y = x - 1 ….……….… Equation 2

To solve using substitution , substitute equation 2 into equation 1

That's

2x - 3( x - 1) = - 1

2x - 3x + 3 = - 1

- x = - 1 - 3

- x = - 4

Multiply through by - 1

We have

Substitute x = 4 , into y = x - 1

We have

y = 4 - 1

y = 3

We have the answers as

x = 4

y = 3

Hope this helps you

Answer:

No

Step-by-step explanation:

47,704,798/8= 5,963,099.75

Answer:

15oz

15oz is 0.27 per oz while 9.75oz bag is 0.31

Answer:

3/4 or 4

Step-by-step explanation:

We know that Area = base * height. If the base is 24, then the height could be 18 / 24 = 3 / 4. If the base is 6, then the height could be 24 / 6 = 4.

The possible heights of the parallelogram are [tex]\frac{3}{4} \ units \ \ \ and \ \ \ 3 \ units[/tex]

The given expression:

area of a parallelogram, A = 18 square unit

a side of the parallelogram,  = 24 units

another side of the parallelogram, = 6 units

To find:

The area of a parallelogram is given as;

Area = base (b) x height (h)

[tex]height \ (h) = \frac{Area \ (A)}{base \ (b)}[/tex]

From the given sides, the possible heights of the parallelogram are calculated as follows;

[tex]the \ height = \frac{18}{24} = \frac{3}{4} \ unit[/tex]

[tex]the \ height \ (h) = \frac{18}{6} = 3 \ units[/tex]

Therefore, the possible heights of the parallelogram are [tex]\frac{3}{4} \ units \ \ \ and \ \ \ 3 \ units[/tex]

Learn more here: https://brainly.com/question/24054192

Answer:

  6.5 seconds

Step-by-step explanation:

When s=0, we have ...

  0 = -16t^2 +676

  t^2 = 42.25 . . . . . add 16t^2, divide by 16

  t = √42.25 = 6.5

6.5 seconds will pass before the object hits the ground.

Answer:

Step-by-step explanation:

g(2) = -2(2) = -4

f(-4) = 3 + 4 = 7

Answer:

aₙ = n²

Step-by-step explanation:

Given sequence:

Or

So the nth term is:

Answer:

31.9572

Step-by-step explanation:

substituted the numbers, added them and easily divided them to get the decimal point.

Answer:

The answer should be 9

Step-by-step explanation:

Because it's the answer

Answer:

[tex]t_{1} = 0.422\pi \pm \pi\cdot i[/tex], [tex]\forall \,i \in \mathbb{N}_{O}[/tex]

[tex]t_{2} = 1.422\pi \pm \pi\cdot i[/tex], [tex]\forall \,i \in \mathbb{N}_{O}[/tex]

Step-by-step explanation:

In the case of parametric equations, the slope of the curve is equal to:

[tex]\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }[/tex]

Where [tex]\frac{dx}{dt}[/tex] and [tex]\frac{dy}{dt}[/tex] are the first derivatives of [tex]x[/tex] and [tex]y[/tex] regarding [tex]t[/tex]. Let be [tex]x(t) =2\cdot \cos t[/tex] and [tex]y(t) = 8\cdot \sin t[/tex], their first derivatives are found:

[tex]\frac{dx}{dt} = -2\cdot \sin t[/tex] and [tex]\frac{dy}{dt} = 8\cdot \cos t[/tex]

Thus, equation for the slope is:

[tex]\frac{dy}{dx} = -\frac{8\cdot \cos t}{2\cdot \sin t}[/tex]

[tex]\frac{dy}{dx} = -\frac{4}{\tan t}[/tex]

If [tex]\frac{dy}{dx} = -1[/tex], then:

[tex]-1 = -\frac{4}{\tan t}[/tex]

[tex]\tan t = 4[/tex]

Tangent is positive at 1st quadrant and is a function with a periodicity of [tex]\pi[/tex], the set of solutions are:

[tex]t_{1} = 0.422\pi \pm \pi\cdot i[/tex], [tex]\forall \,i \in \mathbb{N}_{O}[/tex]

[tex]t_{2} = 1.422\pi \pm \pi\cdot i[/tex], [tex]\forall \,i \in \mathbb{N}_{O}[/tex]

Answer:

It is Positive,Negative,Positive after solving each of them

let's focus solely on fried chicken.

So,

18 orders (18 customers) = 4 fried chickens

1 order = ( 4 ÷ 18 )

225 orders (225 customers) = ( 4 ÷ 18 ) × 225

= 50 fried chickens

Answer:

1:7

Step-by-step explanation:

1 teacher for every 7 kids