Perform the operation and write the result in the standard form.
(1 + 9i)(1 - 9i)​

Answers

Answer 1

Answer:

10-18i

Step-by-step explanation:

1(1-9i)+9(1-9i)

1-9i+9-9i

1+9-9i-9i

10-18i

Answer 2
82+0i

Explanation:
(1+9i)(1-9i)
=(1-9i+9i-81i^2)
(Remember i^2 is -1)
=(1+81)
=82
In standard form, its written as 82+0i

Related Questions

if 2/5 kilogram of soil fills 1/3 of a container,can1 a kilogram of soil fit in the container? Explain or show your reasoning

Answers

Answer:

Yes

Step-by-step explanation:

1 kilogram of soil will fill:

1/3 ÷ 2/5 = 5/6 (of a container)

Because 5/6 < 1

=> 1 kilogram of soil will fit in the container

QUESTION 94
Percentages
In January 2021, a study by the Bureau of Transportation statistics found that 12 out of 35 flights arrived
on time. What percent of the flights were on time?
Choose one 4 points
O 72%
O 34.3%
O 34%
O 27%

Answers

Answer: 34.3%

Step-by-step explanation:

[tex]Given:\ 12/35\ flights\ on\ time[/tex]

To find the percent, divide then multiply by 100:

[tex]\frac{12}{35} = 0.343\times100=\large\boxed{34.3}[/tex]

The length of a rectangle is twice its width.
If the perimeter of the rectangle is 36 m, find its area

Answers

Answer:

length= 12 width=6

Step-by-step explanation:

when adding perimeter you add the length and width twice each so divide 36 by two and get 18

if the length is twice the width then you could make the equation w+2w=18

by adding like terms you get 3w=18

to get n by itself you divide 18 by 3 and get w=6

if the width is 6 and the length is twice that then the length is 12

Answer:

A=72

Step-by-step explanation:

The length of a rectangle is TWICE it's width meaning 2 times. (Note that L= length, W=width, and A=Area)

L=2w

4w+2w=36

6w=36 <- ( 6 is width)

then

2x6=12

Then

12x6=72

So the area of the rectangle is 72.

Hope that makes sense!

In the last year school board election Mrs Jackson received 60.1% of the votes write three equivalent fractions for 60.1% with denominator of 1000 and 100and 10

Answers

601/10=60.1%
601/100= 0.601
601/1000= 0.0601

Please answer this screenshot please 10 points good idea yes.

Answers

Answer:

Yes it is a function

Step-by-step explanation:

There is a relationship between x and y. It is not linear but quadratic

Answer:

yes it is a function

Step-by-step explanation:

that is the answer bc I said I was

Suppose the odds are 38 to 1 that someone will lie to you at least once in the next seven days. State this as a probability.

Answers

Answer:

38/39

Step-by-step explanation:

P=s/(s+f)

P=38/(38+1)

P=38/39

(4-3m)8 distributive property

Answers

(4-3m).8
(-3+4).8

Re-order terms so constants are on the left
(-3m + 4) - 8
8(-3m + 4)


Distribute
8(-3m + 4)
-24m + 32

Solution
-24m + 32

x - y = 7
x - y = -1
Solve the system of equations by graphing

Answers

Answer:

There is no solution.  The lines are parallel.  They will never intercept.  There will be no point that is on both lines.

Step-by-step explanation:

Tom and Louise share £40 in the ratio 1 : 3 work out how much money Tom gets

Answers

Answer:

5

Step-by-step explanation:

because I give him and the answer is incorrect I know but I gave him believe me

A dressmaker needs to cut 18-inch pieces of ribbon from rolls of ribbon that are 3 feet in length. How many 18-inch pieces can the dressmaker cut from 15 of these rolls of ribbon?

Answers

You have 10 rolls and each is 6 feet so therefore you have 60 feet of ribbon. Convert that to inches you need to multiply by 12 so 60 x 12 = 720 inches of ribbon.

If the dress maker needs 18 inch pieces you divide to 720 by 18.
720 divided by 18 will give you 40 pieces.

Final answer:

The dressmaker will get 40, 18-inch pieces of ribbon from 10, 6 foot rolls.

Approximate √10 to the nearest tenth

Answers

√10 = 3.1622….. to the nearest tenth it would be 3.2

MAT is a tangent to circle O. Use the sketch and prove the theorem that states that MAS=D​

Answers

Answer:

i don't know how to attach the file

f(x) = cube root 2x
g(x) = 2x + 1
Find (f/g) (X) Include any restrictions on the domain

Answers

Answer:

B.

Step-by-step explanation:

any arithmetic operation with functions just means to do this operation with the functional expressions.

f/g is really just the expression of f divided by the expression of g.

so, this results in a fraction with the denominator (bottom part) = 2x + 1

as you know, a division by 0 is not a valid operation, and therefore we have to forbid any value for x that would create a 0 in the denominator.

so, for what x do we get

2x + 1 = 0

2x = -1

x = -1/2

therefore, we have to exclude x = -1/2.

3y^3+20y^2=7y

Solve the polynomial by factoring. The answer is y(3y-1)(y+7)
I can't seem to figure out how they got the answer. I need an explanation before my test tomorrow.

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]3y^3+20y^2-7y=y(3y^2+20y-7)\\\\=y(3y^2+21y-y-7)\\\\=y(3y(y+7)-(y+7))\\\\=y(y+7)(3y-1)\\[/tex]

The points ​(​-2,​-1) and ​(6​,​3) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.

Answers

Using the distance formula, the diameter has a length of

[tex]\sqrt{(-2-6)^2 + (-1-3)^2}=4\sqrt{5}[/tex]

The radius is half the diameter, so the answer is

[tex]\frac{4\sqrt{5}}{2}=\boxed{2\sqrt{5}}[/tex]

Find the rate of change of f(x) = x² - 2x + 3 on [-1,2].

Answers

Answer:

-1.

Step-by-step explanation:

Rate of change = [ f(2) - f(-1)] / [2 - (-1)]

                          = [(2)^2 - 2(2) + 3)  - ((-1)^2  - 2(-1) + 3] / 3

                           = ( 3 - 6)/3

                            = -1.

(Adding and Subtracting with Scientific Notation MC)

Simplify (9 x 10−13) − (6.3 x 10−15).

8.937 x 10−15
8.937 x 10−13
2.7 x 10−15
2.7 x 10−13

Answers

Answer:

C) 2.7 x 10-15

Step-by-step explanation:

Sorry if I'm wrong. hope you're having a great day

The computation shows that the value of (9 x 10−13) − (6.3 x 10−15) is C. 2.7 x 10−15

How to compute the value?

Simplify (9 x 10−13) − (6.3 x 10−15).

This will be solved as follows. It should be noted that one just have to subtract the values.rhat are given based on the information above.

Therefore, (9 x 10−13) − (6.3 x 10−15).

= 2.7 x 10−15

In conclusion, the correct option is C.

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f(x) = 5x-7, then what is the solution to f(x) = 4?
(1) 13
(3) -87
(2)-7
(4) 2}
I need some work or explanation please ASAP

Answers

The solution to  function f(x) = 4 is 2 1/5.

Given that, f(x) = 5x - 7

Now, function  f(x) = 4 implies that

i.e. 5x - 7 = 4

i.e. 5x = 4 + 7

i.e. 5x = 11

i.e. x = 11/5

x =2 1/5

So, option (4) is correct. ​​​​​

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

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The function is f(x)= 5x-7. The solution to f(x)=4 is when x is 11/5.

Given that,

The function is f(x)= 5x-7

A function is nothing but in mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain),where there is exactly one output for every input, and the output can be connected to its input.

f(x), where x is the input, is a common way to refer to a function. A function represented as y = f(x).

We have to find the solution to f(x)=4

Take 5x-7 in the place of f(x) because they are equal.

5x-7=4

5x=4+7

5x=11

x=11/5

Therefore, the solution x value is 11/5.

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Which expression simplifies to 2√/15? A. V17 OB. √19 OC √30 OD. √60

please help just have 3 minutes left​

Answers

Answer:

Step-by-step explanation:

solve the equation for x (3x/4)+2=4x-1

Answers

Answer:

Step-by-step explanation:

Urgent (I added 50 points)
The diagram below is drawn on a one-centimetre square grid


Work out the area of the shaded triangle:

Answers

The area of the shaded triangle will be 11.5 square centimeters.

What is the area of the shaded region?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The area of the square will be given as,

A₁ = 5 x 5

A₁ = 25

The area of the triangles will be given as,

A₂ = 1/2 (1 x 5 + 4 x 3 + 2 x 5)

A₂ = 1/2 (27)

A₂ = 27/2

Then the area of the shaded triangle will be given as,

A = A₁ - A₂

A = 25 - 27/2

A = (50 - 27) / 2

A = 23/2

A = 11.5 square cm

The area of the shaded triangle will be 11.5 square centimeters.

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Answer:

In the graph, excluding the shaded triangle, there are three right angled triangles surrounding the shaded triangle in a square

Area of shaded triangle = area of square - area of three triangles

[tex]{ \sf{area = (5 \times 5) - ( \frac{1}{2} \times 4 \times 3) - ( \frac{1}{2 } \times 5 \times 2) - ( \frac{1}{2} \times 5 \times 1)}} \\ \\ { \sf{area = 25 - 6 - 5 - 2.5}} \\ \\ { \sf{area = 11.5 \: {cm}^{2} }}[/tex]

Help 50 points please show your work

Answers

Answer: 16 ft

Step-by-step explanation: The ratio given is 2ft=1in, therefore 2ft/1in=1. Multiplying anything by 1 equals itself, so multiplying 8in*(2ft/1in)=16ft where the number of inches cancel out.

Approximate when the function y = -x² + 3x + 4 is negative.
-2
8
9
0 x < -1
2
0 -1 0 x>4
x²+3x+4
6 x
27
4

Answers

The function y = -x² + 3x + 4 is negative when - 1 > x > 4.

A function is made up of three parts: a set of inputs, a set of outputs, and a rule that links the components of the input set to the components of the output set so that each input is paired with exactly one output.

Consider the function,

y = - x² + 3x + 4

For the function to be negative y < 0.

Therefore,

- x² + 3x + 4 < 0

- ( x² - 3x - 4 ) < 0

- (  x² - 4x + x - 4 ) < 0

- [ x ( x - 4 ) + 1 ( x - 4 ) ] < 0

- ( x + 1 ) ( x - 4 ) < 0

Multiplying by -1 on each side of the inequality.

- ( x + 1 ) ( x - 4 )(-1) > 0( - 1 )

( x + 1 ) ( x - 4 ) > 0

x < - 1 or x > 4

Therefore, the function is negative when - 1 > x > 4.

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What is the value of −7 + |−25|?

Answers

Step-by-step explanation:

the absolute value function always delivers the positive value of the internal expression, no matter if it is actually negative or already positive.

so,

|-25| = 25

therefore,

-7 + 25 = 18

Scientific notation question HW

Answers

Answer:

the scientific notation of 83300 is 8.33*10^4

What is an equation of the line that passes through the points (3, 6) and (-1, -6)?

Answers

point slope intercept form:y-6=3(x-3)
slope intercept form: y= 3x-3

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an additional fee of $200.25 for each ton of sugar. The second company charges $5041 to rent trucks plus an additional fee of $225.75 for each ton of sugar.

Answers

The computation shows that the tons of sugar when they'll have same price is 18 tons.

How to compute the value?

The first company charges $5500 to rent trucks plus an additional fee of $200.25. Thai will be:

= 5500 + (200.25 × s)

= 5500 + 200.25s

where s = tons of sugar

The second company charges $5041 to rent trucks plus an additional fee of $225.75 for each ton of sugar. This will be:

5041 + 225.75s

Then we will equate both of them. This will be:

5500 + 200.25s = 5041 + 225.75s

5500 - 5041 = 225.75d - 200.25s

459 = 25.5s

s = 459/25.5

s = 18

At 18 tons, they'll have same price.

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The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an additional fee of $200.25 for each ton of sugar. The second company charges $5041 to rent trucks plus an additional fee of $225.75 for each ton of sugar. For want mount if sugar do they charge the same price.

Whats the constant term for y=3x + 5


1. 3
2. 5

Answers

i answered this one already on your other post for it

3 is the constant/slope

5 is the y intercept

A small publishing company is planning to publish a new book. Let C be the total cost of publishing the book (in dollars). Let N be the number of copies of the book produced. For the first printing, the company can produce up to 200 copies of the book. Suppose that C= 10/N + 800 gives C as a function of N during the first printing. Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set of values.

Answers

The domain is the set of all integers lying in the interval [0 , 200] and range is the set of all reals lying in the interval [800 , 2800].

What is a function?

A function defined from A to B, associates each and every element of the set A tò the element of set B. In mathematics, it is represented using the symbol, f : A -> B. Here, set A is called the domain of the function while set B is called the range of a function.

Calculation of domain and range of a given function

The domain is the set of all possible values of x.  According to this question, the domain of N lies in the interval [0 , 200] i.e. all the integers lying in the given interval. Only integers are chosen because the number of books cannot be in fraction.

The range is the set of possible costs and lies in the interval [800 , 2800] i.e. all the reals lying in the given interval.

Hence, the domain is the set of all integers lying in the interval [0 , 200] and range is the set of all reals lying in the interval [800 , 2800].

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Find the values of x and y. Write all radicals in simplest form.

Answers

Answer:

For the 60-30-90 degree triangle:

x=12

y=[tex]12\sqrt{3}[/tex]

For the 30-60-90 degree triangle:

x=16

y=[tex]8\sqrt{3}[/tex]

For the 45-45-90 degree triangle:

x=7

y=[tex]7\sqrt{2}[/tex]

Step-by-step explanation:

For 30-60-90 triangles, the side opposite the 30 degree angle is x, while the side opposite the hypotenuse is 2x, while the side opposite the 60 degree angle is [tex]x\sqrt{3}[/tex].

For 45-45-90 triangles, the sides opposite the 45 degree angles are x, while the hypotenuse is [tex]x\sqrt{2}[/tex].

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