Write (3 + 4i) + (8 + 2i) as a complex number in standard form.
А.11 - 6i
В.5 + 12i
C.7 + 10i
D. 11 + 61

Answer:

$3671.58

Step-by-step explanation:

Take the annual salary and divide it by the number of months

First, we'll look at the first term of each expression.

---x times what is equal to x^3? = x times x^2 = x^3

So, we'll multiply everything in the divisor by x^2 and subtract that from the dividend.

x^2(x + 1) = x^3 + x^2

(x^3 + 4x + 5) - (x^3 + x^2)

x^3 - x^3 = 0

0 - x^2 = -x^2

4x - 0 = 4x

5 - 0 = 5

Our new expression is -x^2 + 4x + 5.

So we again ask ourselves, x times what is equal to -x^2? = -x

-x(x + 1) = -x^2 - x

And subtract!

(-x^2 + 4x + 5) - (-x^2 - x)

-x^2 - - x^2 = -x^2 + x^2 = 0

4x - - x = 4x + x = 5x

5 - 0 = 5

Our new expression is 5x + 5. Let's ask ourselves once again, x times what is equal to 5x? = 5.

Multiply, then subtract!

5(x + 1) = 5x + 1

(5x + 1) - (5x + 1) = 0

Now that we have nothing left to divide, let's go back and get our answer.

x^2 - x + 5

Notice that when I was dividing, I always looked at the first term of the dividend (as the expression changed) and divisor. Whatever comes after the first term doesn't matter at the time.

Hope this helps and if you have any further questions, please let me know! :)

Answer:

Step-by-step explanation:

         x   - 2         <--- quotient

x + 1) x^2 -  x + 5       First divide x^2 by x giving x then multiply x + 1 by x:

         x^2 + x             Now subtract x^2 + x from x^2 - x and bring down +5:

                  -2x + 5     Now divide -2x by x to get -2 and multiply X+1 by -2                           -2x - 2       Subtract:

                           7  

The result is x - 2 (see above)  remainder 7

or you could write it as

x  - 2 + 7/(x + 1)                                            

The function of the water balloon is an illustration of a quadratic function.

The balloon will splat on the ground after 2.5 seconds

The function is given as:

[tex]h(t) = -6t^2 + 13t + 5[/tex]

When the balloon splats on the ground, the value of h(t) is 0.

So, we have:

[tex]-6t^2 + 13t + 5 = 0[/tex]

Expand the expression

[tex]-6t^2 + 15t- 2t + 5 = 0[/tex]

Factorize the above expression

[tex]-3t(2t - 5)- 1(2t - 5 )= 0[/tex]

Factor out 2t - 5 in the 2t - 5

[tex](-3t - 1)(2t - 5 )= 0[/tex]

Split the equation into 2

[tex]-3t - 1 = 0\ or\ 2t - 5= 0[/tex]

Rewrite as:

[tex]-3t = 1\ or\ 2t = 5[/tex]

Solve for t

[tex]t = -\frac 13\ or\ t = \frac 52[/tex]

The value of t cannot be less than 0 i.e. negative.

So, we have

[tex]t = \frac 52[/tex]

Divide 5 by 2

[tex]t = 2.5[/tex]

Hence, the balloon will splat on the ground after 2.5 seconds

Read more about quadratic functions at:

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Answer: A lot

Step-by-step explanation: I can't count how many

Using exponential functions, it is found that:

a) Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.

b) The patient could have ingest 231 milligrams of caffeine.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem:

Then:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = A(0)(1 - 0.13)^t[/tex]

[tex]A(t) = A(0)(0.87)^t[/tex]

Item a:

The coffee cup contains 150 milligrams of caffeine, hence [tex]A(0) = 150[/tex].

At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).

[tex]A(t) = A(0)(0.87)^t[/tex]

[tex]A(8) = 150(0.87)^8[/tex]

[tex]A(8) = 49.2[/tex]

Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.

Item b:

This A(0), considering A(11) = 50, hence:

[tex]50 = A(0)(0.87)^{11}[/tex]

[tex]A(0) = \frac{50}{(0.87)^{11}}[/tex]

[tex]A(0) = 231[/tex]

The patient could have ingest 231 milligrams of caffeine.

A similar problem is given at https://brainly.com/question/25537936

Answer:

A' (4,4)  B' (0,0)  C' (4,0)

Step-by-step explanation:

A (3,2)  B (1,0)  C (3,0)

Translated left 1 unit: A'' (2,2)  B'' (0,0)  C'' (2,0)

dilated about origin (0,0) by scale factor of 2: A' (4,4)  B' (0,0)  C' (4,0)

Answer: 40

Step-by-step explanation: if 8 stops complete 20% of the map 100% is 5 times that so 8x5 is 40 so 40 stops in total

The total number of stops in her trip is 40.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Amy has just completed stop 8 and the map shows she is 20% complete.

let the total number of stops be x

So, 20% of x = 8

20/100x= 8

1/5x = 8

x= 40

Hence, the total number of stops in her trip is 40.

Learn more about algebra here:

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#SPJ2

Answer:

630 is 28% of 2250.

Step-by-step explanation:

28 / 100 = .28

2250 X .28 = 630.

Answer:

x=10

z=2

y=5

Step-by-step explanation:

since they are equal, set the sides up as equal to one another and use pemdas to solve.

EX; x+15=2x+5

     -x        -x

15=x+5

-5     -5

10=x

Answer:

see explanation

Step-by-step explanation:

the translation rule (x, y ) → (2x, [tex]\frac{1}{3}[/tex] y )

means multiply the x- coordinate by 2 and multiply the y- coordinate by [tex]\frac{1}{3}[/tex] ), so

A (- 1, - 3 ) → A' (- 2, - 1 )

B (4, - 3 ) → B' (8, - 1 )

C (4, 3 ) → C' (8, 1 )

D (- 1, 3 ) → D' (- 2, 1 )

Answer:

5.5

Step-by-step explanation:

The line perpendicular to y =-3 /2 x + 6 is y = 2/3 x + 6. When you find the y-int  from the graph you drew, the y-int is about 5.5

Hope that helps

Answer:

B) -3.2

Step-by-step explanation:

-16/5 = -15/5 - 1/5 = -3 - 0.2 = -3.2

Answer:

  see attached

Step-by-step explanation:

boundary line

When graphing, it can be useful to have the equation in slope-intercept form. You can get that by solving for y.

  4y ≤ -5x -4 . . . . subtract 5x from both sides

  y = -5/4x -1 . . . . divide both sides by 4

This tells you the slope is -5/4, and the boundary line crosses the y-axis at y = -1. The slope is the ratio of rise to run, so -5/4 tells you the line will go down 5 units for each 4 unit to the right. That is, points (4, -6) and (-4, 4) will be on the line.

line type and shading

The "or equal to" part of the inequality symbol (≤) tells you that the boundary line will be solid, not dashed.

The "less than" part of the symbol tells you that the values of x and y are less than those on the boundary line, so shading will be to the lower-left. The graph is shown in the attachment.

_____

Additional comment

You can determine the location of the shading by looking at any variable term that has a positive coefficient, and its relation to the inequality symbol. Here, that could be either of ...

These tell you that x- and y-values in the solution set are less than those on the line, so shading will be left of (x<) or below (y<) the line. (In rare cases where all of the variable coefficients are negative, you can multiply the equation by -1 and reverse the inequality before you make this analysis.)

Answer:

I think its. u must check with calculator

Answer:

Percent Decimal

80% 0.8

90% 0.9

100% 1

200% 2

Answer:

2.00

Step-by-step explanation:

To convert a percentage to a decimal, divide by 100. So 25% is 25/100, or 0.25. To convert a decimal to a percentage, multiply by 100 (just move the decimal point 2 places to the right).

Answer:

a^2b^2+6abx+9c^2

Step-by-step explanation:

(a + b)2 = a2 + 2ab + b2

(ab+3c)^2=(ab)^2+2ab*3c+(3c)^2

Hey there!

(ab + 3c)^2

= (ab + 3c)(ab + 3c)

DISTRIBUTE

= ab(ab) + ab(3c) + 3c(ab) + 3c(3c)

= a^2 b^2 + 3abc + 3abc + 9c^2

COMBINE the LIKE TERMS

= a^2 b^2 + 6abc + 9c^2

Therefore, your answer is:

a^2 b^2 + 6abc + 9c^2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

56

Step-by-step explanation:

Answer:

i think its 140 because u got to add all the sides in order to subtract from 180

i dont know  if its right but that is what i think UwU

Answer:

p=12

Step-by-step explanation:

a=l×b

a=219.6

l=18.3

b=?

219.6=18.3×b

Divide both sides by 18.3

And therefore b=12 yards

The sum in terms of p of four consecutive even integers with p been the smallest is 4(p + 3)

Even numbers are numbers that can be divided into two equal groups and they can be easily divisible by 2 without any remainder.

p is the smallest of the four consecutive even integers. This means p come first and it is the first term of the numbers.

Therefore, the 4 consecutive even integers is represented as follows;

p, p + 2, p + 4, p + 6

So the sum is equal to:

sum = p + p + 2 + p + 4 + p + 6

sum = 4p + 12

sum = 4(p + 3)

learn more on even numbers here: https://brainly.com/question/21514478?referrer=searchResults

Answer:

E=118

K=50

Step-by-step explanation:

I=E

E=118

K=360-118-118-74 (sum of angles in quad)

K=50

Answer:

8,000,000

Step-by-step explanation:

if 500,00 is the first year and in 85 years it will be 1,000,000, then after 180 years 2,000,000 and then 4,000,000 after 265 years then 8,000,000 after 340 years

Answer: y = 115 and x = 78

Step-by-step explanation:

y = 115 because it is parallel with the angle 115 and parallel are congruent, for x find the angle beside the angle 102 and that angle is parallel with the angle x and that will be 180 - 102 = 78 which is x  

Answer:

23 - 6x

Step-by-step explanation:

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

6x + 8 - 12x +15 (distributing)

23 - 6x (combining like terms)

Answer:

5 PLZ GIVE BRAINLIEST

Step-by-step explanation:

83+37 = 120

120/5=24

The volume of the prism, in cubic units is 1/2x³ + x²

The volume of the oblique prism is given as:

V = Base area * Height

Given the following

Base area = 1/2 (x*x)

Base area = 1/2 x²

Get the volume of the prism;

Volume of the prism = 1/2(x²)(x+2)

Volume of the prism = 1/2(x³+2x²)

Volume of the prism = 1/2x³ + 1/2(2x²)

Volume of the prism = 1/2x³ + x²

Hence the volume of the prism, in cubic units is 1/2x³ + x²

Learn more on the volume of prism here: https://brainly.com/question/23963432

Answer:

1/2x³ + x²

Step-by-step explanation:

edg

Answer:

n = 2

Step 1: Add 3 to both sides to isolate x.

n – 3 = ‐1

Step 2: Solve

=> n = -1 + 3

Final Answer: Answer to the question.

=> n = 2

Therefore, n = 2 is our answer.

Hoped this helped.

Answer:

10

Explanation:

130 divided by 13 equals 10

10 times 13 equals 130

Answer:

Step-by-step explanation:

-6x+5y=0 and −5x+5y=−5

Subtract the second from the first:

-6x+5y=0

5x-5y= 5

-x = 5

x = -5