(4 + 2i) + (-3 – 5i) show your work

Answer:

This is rational number but it is non -torminating

Answer:

If I'm doing the problem correctly, the radius should be 4 yards.

Step-by-step explanation:

You work the problem backwards. Multiply 200.96 by 3, since it's a cone, so you're working with the volume of what a cylinder would be with the same dimensions. Then divide by the height (12 yd), then divide by pi. You should end up with 16, and 4 squared equals 16. Work the problem forwards from there to check.

4 squared is 16. 16 times 3.14 is 50.24. 50.24 times 12 is 602.88. 602.88 divided by 3 is 200.96.

Answer: [tex]9\div (x+1)[/tex]

Step-by-step explanation:

In algebra, Quotient of a and b is expressed as [tex]a\div b[/tex] .

Given phrase: The quotient of nine and the sum of a number and one

Let the number be x.

Then, the statement become: The quotient of nine and the sum of x and one.

i.e. [tex]9\div (x+1)[/tex]   [since sum of x and 1 = x+1]

Hence, the algebraic expression represents the given word description is [tex]9\div (x+1)[/tex] .

Answer:

9 divided (x+1)

Step-by-step explanation:

apeex

Answer:

Step-by-step explanation:

To find k first of all cross multiply

We have

32k = 640

Divide both sides by 32

That's

We have the final answer as

Hope this helps you

Answer and Step-by-step explanation:

Differences:

Interval notation is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example set of all real numbers can be described in interval notation as 0 ≤ x ≤1.  Interval notation press the solution set to equality, and it is important to express solution sets in calculus. Set builder notation is a mathematical notation for describing a set by its elements, and their member satisfies' properties.It describes the elements of a set instead of listing the element. For example the set {1, 2, 3, 4, 5, 6, 7, 8, 9} is written in builder notation will be {x/x is a counting number less than 10}.Inequality notation is a relation that makes a non equal comparison between two numbers. Set are also defined by using some inequalities like >, <, ≤, ≥. These are called inequality notations.

Similarities:

The purpose of inequality notation, set builder notation, and interval notation is the same because these notations used to describe a set and the characteristics of each element of a set. When a set is representing in set builder notation, it defines characteristics of elements.  If the set is represented in interval notation, we need to know the upper and lower bound set. In inequality notation, the set is described by the graph on a number line.

Answer:

C The graph shows a function because each element of the domain is assigned to exactly one element of the range.

Step-by-step explanation:

A The graph shows a function because it has an x-intercept and a y-intercept.

- Incorrect as functions are not x- and y- intercept only

B The graph does not show a function because the range of the graph is not all real numbers.

- Incorrect as the range is all real numbers

C The graph shows a function because each element of the domain is assigned to exactly one element of the range.

- Correct, this is the definition of a function

D The graph does not show a function because many elements of the domain are assigned to the same element of the range.

- Incorrect as per previous statement

Answer:

See below.

Step-by-step explanation:

The range of a graph is the span of y-coordinates the graph covers.

From the graph, we can see that the graph covers all y-values between the values of y=-8 and y=7.

Therefore, the range is all of the numbers in between them including them.

In interval notation, this is:

[tex][-8,7][/tex]

We use brackets instead of parentheses because we include the numbers.

And in set notation, this is:

[tex]\{y|-8\leq y\leq 7\}[/tex]

Answer:

Hey there!

The range is the possible y values.

Thus, we see here that the range is all numbers from -8 to 7.

Let me know if this helps :)

Answer:

y ...................

Answer:

Step-by-step explanation:

From the question

Area of a triangle is given by

[tex]A = \frac{1}{2} bh[/tex]

where

b is the length of the base

h is the height

From the question

Area = 328 mm²

height = 16 mm

Substitute the values into the above formula and solve for the height

We have

[tex]328 = \frac{1}{2} \times 16b \\ 328 = 8b[/tex]

Divide both sides by 8

We have the final answer as

Hope this helps you

Step-by-step explanation:

tn=n(n+1)(2n+1)

t23=23(23+1)(2*23+1)

t23=36754

Answer:

The 23rd term is 2806.

Step-by-step explanation:

The other answerer has used the formula but i'm answering from the assumption that T1 to T4 are correct.

Each term is the sum of n terms of an arithmetic series with first term a1 = 12 and common difference d = 10.

Sum of n terms = (n/2)[2a1  + d(n - 1)]

So the sum of 23 terms =

= 23/2 (2*12 + 10 * 22)

= 11.5 * 244

= 2806.

Answer:

Actually nothing comes before 1 in the natural numbers. 1 is first natural number.

Step-by-step explanation:

well 0 comes before 1 but it's not nature number.

hope it helped you:)

Answer: If you play 4 games, the price will be the same in the two establishments.

Step-by-step explanation:

Ok, in Family Bowling we have:

$4 per game, plus $1 per shoes (the shoes are paid only one time).

Then, the price for X games, is:

Pa(X) = $4*X + $1.

In Knight Owl Bowling we have:

$3.75 per game and $2 for the shoes, the price for X games will be:

Pb(X) = $3.75*X + $2.

Now, if we want to pay the same in both establishments, we have:

Pa(X) = Pb(x)

$4*X + $1 = $3.75*X + $2

Now we should solve this for X.

$4*X - $3.75*X = $2 - $1 = $1

($4 - $3.75)*X = $1

$0.25*X = $1

X = $1/$0.25 = 4.

If you play 4 games, the price will be the same in the two establishments.

Answer:

4 hours .  

Step-by-step explanation:

4x8.50=34

34 + 16=50

Answer:

He worked 4 hours i think

Step-by-step explanation:

Take 50 and subtract his tips ($16)

then divide your answer by how much he makes an hour ($8.50)

Answer:

12.

Step-by-step explanation:

3x = 0.5x + 30

2.5x = 30

x = 30 / 2.5

x = 12

Step-by-step explanation:

may be those can be QT and QN

Answer:

(3 - y) & (x - a) are the factors

Step-by-step explanation:

3x-3a+xy-ay

=> 3x - xy - 3a - ay

=> x(3 - y) - a(3 - y)

=> (3 - y)(x - a)

(3 + y) & (x - a) are the factors of the expression 3x-3a+xy-ay.

Here, we have,

given that,

the expression is : 3x-3a+xy-ay.

now, we have,

To factor the expression 3x - 3a + xy - ay, we can group the terms as follows:

3x-3a+xy-ay

=> (3x - 3a) + (xy - ay)

Now, let's factor out the common factors from each group:

=> 3(x - a) + y(x - a)

Notice that both terms now have a common factor of (x - a).

We can factor out this common factor:

=> (x - a)(3 + y)

Therefore, the factored form of the expression 3x - 3a + xy - ay is (x - a)(3 + y).

Hence, (3 + y) & (x - a) are the factors of the expression 3x-3a+xy-ay.

To learn more on Expression click:

brainly.com/question/14083225

#SPJ2

Answer:

work shown and pictured

Step-by-step explanation:

Answered... Hope you like it pls follow me.. If you like..

Answer:

Step-by-step explanation:

Like terms have same variables

16x & -4x are like terms

11p & -3p are like terms

16x + 11p - 4x -3p = 16x - 4x + 11p - 3p

                            = (16- 4)x + (11 - 3) p

                           = 12x + 8p

Answer:

D

Step-by-step explanation:

So we have the expression:

[tex](3x^2-5x+6)+(9-8x-4x^2)[/tex]

Combine like terms:

[tex]=(3x^2-4x^2)+(-5x-8x)+(6+9)[/tex]

Add or subtract:

[tex]=(-1x^2)+(-13x)+(15)[/tex]

Simplify:

[tex]=-x^2-13x+15[/tex]

Our answer is D

Answer:

56

Step-by-step explanation:

We are given the expression:

10y-3z

and asked to find the value when y=8 and z=8. Therefore, we must substitute 8 in for both y and z.

10(8)-3(8)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition and Subtraction.

Multiply 10 and 8.

(10*8) -3(8)

80-3(8)

Multiply 3 and 8.

80 - (3*8)

80- 24

Subtract 24 from 80.

(80-24)

56

The value of the expression 10y-3z when y=8 and z=8 is 56.

Answer:

39

Step-by-step explanation:

If her bank account is overdrawn, that means that it has a negative balance. This means that without the $60, she has -$21 and once she deposits the $60, twenty one of the 60 will be subtracted

Answer: The answer is 39

Step-by-step explanation: -21+60=49

hope you like it :)

Answer:

8x^2 + 5y + 1

Step-by-step explanation:

1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y

group like terms

= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 5y + 1 - 3 + 3

= 8x^2 + 5y + 1

Answer:

[tex]\Huge \boxed{8x^2 +5y+1}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]1+x^2-3+2y+7x^2+3+3y[/tex]

Grouping like terms.

[tex]7x^2 +x^2+2y +3y +3+1 -3[/tex]

[tex](7x^2 +x^2)+(2y +3y) +(3+1 -3)[/tex]

Combining like terms.

[tex]8x^2 +5y+1[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

_______

its 9

_________

Answer:

-9

Step-by-step explanation:

9 x 9 = 81,  so

-81/9 = -9

Answer:

The probability of getting a king is = 1/16.

The probability of getting a black card is = 11/24.

Answer:

The correct option is;

Number of seats

Step-by-step explanation:

A quantitative variable is a variable that has a numeric value used to describe the measured characteristic of an item

A discrete variables are countable variables within given finite amount of time

Therefore, a discrete quantitative is a countable variable that indicates the measured value of an item or feature'

In the question, the discrete quantitative variable that might be included in the brochure is Number of seats.

Answer: The number of seats

Step-by-step explanation: Because a discrete quantitative variable is a variable whose value is obtained by counting. you’re welcome:)

Radius of semicircle r = 21 cm

Perimeter of semicircle

= pi*r + 2r

= (22/7)*21 + 2*21

= 22*3 + 42

= 66 + 42

= 108 cm

Answer:

let x be the salary of individual with bachelor degree

Then the average salary of individual with Masters degree is:

(2x-40000)

the combined of two salaries is 110000:

x+(2x-40000)=110000

3x-40000=110000

3x=110000+40000

x=150000/3

Answer:

1) Highest

2) Decreasing / Descending

Step-by-step explanation:

In a standard polynomial , terms are ordered from highest degree to lowest degree.