Write the expression as a complex number in standard form.

( 7 - 4i ) + ( 8 + 6i )


(Please don't spam anything for points, and could you leave an explanation as well? Thanks!)

Answer:

[tex]\displaystyle d = \sqrt{65}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

Point A(3, 8)

Point B(-1, 1)

Step 2: Find distance d

Answer:

8.1

Step-by-step explanation:

the person who posted before was correct! they just forgot to change the format of the answer, see their response for an accurrate explanation :)

Answer:

LSA = 56.5 cm²

Step-by-step explanation:

LSA = 2πrh

LSA = 2π(3)(3)

LSA = 56.5 cm²

Answer:

16.8

Step-by-step explanation:

Answer:

The sum of the first 50 is 5200

Step-by-step explanation:The given sequence is a linear sequence.

So, first we calculate the common difference

d=t2-t1

d=10-6=4

The sum of the first 50 terms is then calculated using: sorry it wont let me copy and paste my explo and im lazy

Answer:

5,200

Step-by-step explanation:

6, 10, 14, ...

Sum = [ number of terms(first term+last term) ] / 2

-we know there are 50 terms

-we now the first term is 6

-we need to find the last term

last term = first term + (n-1)* difference between first and second term

last term = 6 + (50-1) * (10-6)

last term = 6 + 49*4 = 202

Sum = [ number of terms(first term+last term) ] / 2

Sum = [ 50 ( 6 + 202) ] / 2 = 5,200

Answer:

the answer is 3x the width

Answer:

12

Step-by-step explanation:

how many half hours in 6 hours ?

it is

6/(1/2) = 6/1 / 1/2 = 6×2 / 1/1 = 12 / 1 = 12

Answer:

Step-by-step explanation:

1/16 + 1/2 = 1/16 + 8/16 = 9/16

Answer:

C = 37.6991

Step-by-step explanation:

The equation for the circumference of a circle is given: C = π · d

where, d is the diameter of the circle.

Plug in the value of d = 12 and use the π button on the calculator.

C = π · 12

C = 37.6991

Answer:

314

Step-by-step explanation:

unit activity

☝︎☝︎☝︎☝︎☝︎

Answer:

C

Step-by-step explanation:

Exterior angle equals the sum of opposite interior angles

y + y = 130

2y = 130

Divide both sides by 2

y = 130/2

y = 65

Answer:

C.65

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

y+y = 130

2y = 130 divide both sides by 2

y = 65

Answer:

15/8

Step-by-step explanation:

Skip. Flip. Multiply.

- 1/3 becomes 3/1.

3 * 5 is 15.

8 * 1 is 1.

Negatives cancel out.

Answer:

=

[tex] \frac{ 15}{8} [/tex]

That's the answer

Answer:

7 21/23 dollars per minute

Step-by-step explanation:

Total amount Sarah earns = 45 1/2 dollars

Time taken to earn = 5 3/4 minutes

What is the unit rate in dollars per

minute?

unit rate in dollars per

minute = Total amount Sarah earns / Time taken to earn

= 45 1/2 ÷ 5 3/4

= 91/2 ÷ 23/4

= 91/2 × 4/23

= (91 * 4) / (2 * 23)

= 364/46

= 7 42/46

= 7 21/23 dollars per minute

unit rate in dollars per

minute = 7 21/23 dollars per minute

You're fairly close but not 100% correct.

This function is logarithmic simply because of the presence of "log" in the notation. So you're correct with that statement.

However, we have a vertical asymptote and not a horizontal one. Note how the green function approaches but never touches x = 2. This is a vertical electric fence of sorts. This is due to the fact that log(x) cannot have x = 0. So log(x-2) cannot have x = 2. We can't have x < 2 either.

So you'll need to change that '3' to '2' without quotes of course.

The range is correct. The function can spit out any y value we want. So the range is the set of all real numbers, or we could say -infinity < y < infinity which translates to the interval notation you wrote. The function is increasing because we're going uphill when moving to the right.

The domain is not correct. The domain would be x > 2 to represent the possible x inputs. We can plug in anything larger than 2. The inequality x > 2 translates to the interval notation [tex](2, \infty)[/tex]

The end behavior portion is half correct. The left side end behavior should be [tex]\text{ as } x \to 2, \ y \to -\infty[/tex] to represent the idea of getting closer to that electric fence and going off to negative infinity (down the page forever). We don't have x approaching negative infinity because we can't go beyond that fence. The end behavior on the right side is correct.

-------------------

So the answers would be

The function f(x) is a logarithmic function with a vertical asymptote x = 2. The range of the function is [tex](-\infty, \infty)[/tex] and it is increasing on its domain of [tex](2, \infty)[/tex]. The end behavior on the left side is [tex]\text{ as } x \to 2, \ y \to -\infty[/tex] and the end behavior on the right side is [tex]\text{ as } x \to \infty, \ y \to \infty[/tex]

Check out the attached image below.

Answer:

If it doubles every 8 hours then

population = initial population * 2 ^ (hours / 8)

********************************************---------

after 26 hours

population increases by a factor of

2 ^ (26 / 8) = 9.51365692

************************************************--------

after 1 week, or 168 hours

population increases by a factor of

2 ^ (168 / 8) = 2 ^ 21 = 2,097,152

Answer:

vertically opposite angles are equal

3x+112°=5x+100°

112°-100°=5x-3x

12°=2x

12°÷2=2x÷2

6°=x

therefore x=6°

Step-by-step explanation:

hope this is helpful

Answer:

x = 6

Step-by-step explanation:

The 2 angles are vertically opposite and are congruent, so

5x + 100 = 3x + 112 ( subtract 3x from both sides )

2x + 100 = 112 ( subtract 100 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

f(9)=-22-14

f(9)=-36

f multiplied by 9divide by 9=-36divide by 9

f=-4

Answer:

20 people

Step-by-step explanation:

The volume of a cuboid is equal to length * breadth * height.

First, we want to figure out the values relative to each other. Everything is in centimeters except the breadth, which is 0.07m. To convert meters to centimeters, we can multiply by 100: 0.07 * 100 = 7, so the breadth is 7cm.

Next, the volume is  length * breadth * height = 5cm * 7cm * 8cm = 280cm³. Each person occupies 14cm³. To find how many people can occupy the cube, we can divide the volume by the space each person takes, so

280cm³/14cm³ = 20 people

Note that we can divide because each person takes x amount of space, and the total space, z, can be represented by x * y = z, with y representing the amount of people, because we add x space for each person. Dividing both sides by x, we get y = z/x

Answer:

98/76= (rounded to the nearest thousandth) 1.289.

The greatest 3 digit prime number is 997 and the smallest 2 digit prime number is 11. 997+11 = 1008

32^2 = 1024

1024-1008 = 16.

root(16) = 4

Step-by-step explanation:

the answer is in the image above

The required magic square with consecutive numbers from 6 to 14 having a magic constant of 30​ is.
| 13 | 6 | 11 |

| 8 | 10 | 12 |

| 9 | 14 | 7 |

A magic square is a square grid filled with consecutive integers in a way that all rows, columns, and diagonals have the same sum, known as the magic constant.

Here,
To complete the given magic square with consecutive numbers from 6 to 14 having a magic constant of 30, we can follow these steps:

Step 1: Write the partially filled magic square:

Step 2: Calculate the sum of the known numbers:

Step 3: Calculate the sum of the missing numbers:

Step 4: Distribute the missing numbers in the empty cells in a way that the sum of all rows, columns, and diagonals is equal to the magic constant of 30.

We know that the center cell must be 12, because it is the only cell that can be part of three different diagonals.

We can check that all rows, columns, and diagonals add up to 30:

| 13 | 6 | 11 |

| 8 | 10 | 12 |

| 9 | 14 | 7 |

Learn more about magic square here:

https://brainly.com/question/28675556
#SPJ2

Answer:

Step-by-step explanation:

[tex](x-4) (3x^{3} -6x+2)[/tex]

= [tex]3x^{4} -6x^{2} +2x -12x^{3} +24x-8[/tex]

= [tex]3x^{4} -12x^{3} -6x^{2} +26x-8[/tex]

I hope this helps and the working out is clear.  :)

Answer:

0.6/7 is the answer.....

Answer:

what are the answer choices

Step-by-step explanation:

Answer:

The y intercept is -2

Step-by-step explanation:

Hi there!

We want to find the y-intercept of the line 2x-4y=8

The y-intercept is the point in where the line passes through the y axis. This means that the value of x at the y intercept is 0.

So substitute 0 as x into the equation

2(0)-4y=8

Multiply

0-4y=8

Simplify

-4y=8

Divide both sides by -2

y=-2

The y intercept is -2. If you need it as a point, it's (0, -2)

Hope this helps!

Answer:

1/3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= 4x² + 7x - 3 + 6x³ - 7x² - 5 ← collect like terms

= 6x³ - 3x² + 7x - 8

Answer:

D. (f + g )( x ) = 6x³ - 3x² + 7x - 8

Step-by-step explanation:

Given :-

To Find :-

Solution :-

(f + g )( x ) = 4x² + 7x - 3 + 6x³ - 7x² - 5.

Arranging like terms.

(f + g )( x ) = 6x³ - 7x² + 4x² + 7x -5 - 3

Combine like terms.

(f + g )( x ) = 6x³ - 3x² + 7x - 8

Answer:

-3/2, -7/4

Step-by-step explanation:

The numbers have to be negative, and two rational numbers between -1 and -2 are -1.5 and -1.75 and fortunately for us, both are rational (can be expressed as fractions), -1.5 = -3/2 and -1.75 = -7/4

HPH (Happy to help)

Answer:

12 adults

Step-by-step explanation:

Given that :

Let :

Number of children = x

Number of adult = y

x = 32 + y - - - - - (1)

Ratio of adult to children

3 : 11

x = (11/3)y - - - (2)

Put x = 11/3y in (1)

(11/3)y = 32 + y

11y/3 - y = 32

(11y - 3y) / 3 = 32

11y - 3y = 32 * 3

8y = 96

y = 96/8

y = 12

Hence, number of adults = 12