find the angle represented by x rounded to the nearest tenth of a degree

Answer:

The  complex numbers arranged  in increasing order of their absolute value (modulus) are:      

Step-by-step explanation:

-5(n³-n²-1)+ n(n²-n)

= -5n³+5n²+5+  n³-n²   (multiplying)

= -6n³+6n²+5

(n²-1)(n +2)  -n² (n-3)

= n³+2n²-n -2 - n³+ 3n²          (multiplying)

=5n²-n -2

n² (n-4) + 5n³ -6

= n³- 4n +5n³ -6                  (multiplying)

= 6n³- 4n  -6

2n( n²-2n-1) + 3n²

= 2n³- 4n²  -2n + 3n²

=2n³ +n²  -2n

First we solve the expression by multiplying adding or subtracting . Then we take the expression whose answer is the highest both in co efficient and the power to be the last  in number as we have to write the expression in increasing order , mso we will start with the smallest.

The expression whose answer is the smallest both in co efficient and the power  is taken to be thefirst in number as we have to write the expression in  increasing order. The negative co efficients and less powers are taken to be the smallest in value.

The complex numbers in increasing order of their absolute value is [tex](\sqrt 3 - \sqrt 3i)^4[/tex] and [tex](\sqrt 3 - i)^6[/tex]

The complex numbers are given as:

[tex](\sqrt 3 - \sqrt 3i)^4[/tex] and [tex](\sqrt 3 - i)^6[/tex]

Start by simplifying both complex numbers using binomial expansion method.

So, we have:

[tex](\sqrt 3 - \sqrt 3i)^4 = 1 \times (\sqrt 3)^4 + 4 \times (\sqrt 3)^3 \times (\sqrt 3i) + 6 \times (\sqrt 3)^2 \times (\sqrt 3i)^2 + 4 \times (\sqrt 3)^1 \times (\sqrt 3i)^3 + 1 \times (\sqrt 3i)^4[/tex]

Evaluate the exponents

[tex](\sqrt 3 - \sqrt 3i)^4 = 1 \times 9 + 4 \times 3\sqrt 3 \times \sqrt 3i - 6 \times 3 \times 3 \times 1 - 4 \times (\sqrt 3) \times 3i\sqrt 3 + 1 \times 9[/tex]

Evaluate the products

[tex](\sqrt 3 - \sqrt 3i)^4 = 9 + 12\sqrt 3 \times \sqrt 3i - 54 - 12i \times (\sqrt 3) \times \sqrt 3 + 9[/tex]

Evaluate the products

[tex](\sqrt 3 - \sqrt 3i)^4 = 9 + 36i - 54 - 36i + 9[/tex]

Evaluate like terms

[tex](\sqrt 3 - \sqrt 3i)^4 = 9 - 54 + 9[/tex]

[tex](\sqrt 3 - \sqrt 3i)^4 = -36[/tex]

Next, simplify [tex](\sqrt 3 - i)^6[/tex]

[tex](\sqrt 3 - i)^6 = 1 \times (\sqrt 3)^6 + 6 \times (\sqrt 3)^5 \times (i) +15\times (\sqrt 3)^4 \times (i)^2 + 20\times (\sqrt 3)^3 \times (i)^3 + 15 \times (\sqrt 3)^2 \times (i)^4+ 6 \times (\sqrt 3) \times (i)^5 + 1 \times (i)^6[/tex]

Simplify

[tex](\sqrt 3 - i)^6 = -64[/tex]

So, we have:

[tex](\sqrt 3 - \sqrt 3i)^4 = -36[/tex] and [tex](\sqrt 3 - i)^6 = -64[/tex]

Calculate the absolute values

[tex]|(\sqrt 3 - \sqrt 3i)^4 |= |-36|[/tex]

[tex]|(\sqrt 3 - \sqrt 3i)^4 |= 36[/tex]

[tex]|(\sqrt 3 - i)^6 |= |-64|[/tex]

[tex]|(\sqrt 3 - i)^6 |= 64[/tex]

By comparison: 36 is less than 64

So, the complex numbers in increasing order of their absolute value is [tex](\sqrt 3 - \sqrt 3i)^4[/tex] and [tex](\sqrt 3 - i)^6[/tex]

Read more about complex numbers at:

https://brainly.com/question/10662770

Answer:

imm a bit sorry I could only answer the international one as the national is equal to international place value system

Step-by-step explanation:

eight hundred ninety three thousand four hundred fifty one

hth tth th h t o

8 9 3 4 5 1

I hope you understand

Answer:

7

down

3x-6

Step-by-step explanation:

g(x)=3x-6

f(x)=3x+1

Thus, g(x) is just f(x)-7

Answer:

Answer: The rectangular lot is 12x8 meters

Step-by-step explanation: Perimeter of a geometric figure is the sum of all its sides.

A rectangle is a quadrilateral that has opposite sides parallel and equal, which means, and suppose l is length and w is width:

P = 2l + 2w

The perimeter of the lot is 40m, thus:

2l + 2w = 40

Area of a rectangle is calculated as:

A = length x width

The lot has area of 96, thus:

lw = 96

Solving the system of equations:

2l + 2w = 40 (1)

lw = 96 (2)

Isolate l from (1):

2l = 40 - 2w

l = 20 - w (3)

Substitute (3) in (2):

w(20-w) = 96

[tex]-w^{2}+20w=96[/tex]

[tex]-w^{2}+20w-96=0[/tex]

There are many methods to determine the roots of a quadratic equation. One of them is using the sum and product of those roots.

[tex]sum = \frac{-b}{a}[/tex]

[tex]sum=\frac{-20}{-1}[/tex]

sum = 20

[tex]prod=\frac{c}{a}[/tex]

[tex]prod=\frac{-96}{-1}[/tex]

prod = 96

The roots of the quadratic equation are numbers which the sum results in 20 and product is 96:

w₁ = 12

w₂ = 8

If we substitute w to find l, the numbers will be l₁ = 8 and l₂ = 12.

Since length is bigger than width, the rectangular lot Mang Jose has to plant mushrooms measures 12m in length and 8m  in width

Answer:

[tex]f(x)=x^2+6x+9[/tex]

Step-by-step explanation:

We are required to represent the expression given in the standard form to the quadratic form

Given

[tex]f(x) = (x + 3)^2[/tex]

let us square the given expression

f(x)=(x+3)(x+3)

open brackets

[tex]f(x)=x^2+3x+3x+9[/tex]

sum the similar terms

[tex]f(x)=x^2+6x+9[/tex]

Answer:

find the slope? the slope is the number attached to the x so itd be 6

Answer:

slope- 6

Step-by-step explanation:

y=mx+b

y= outcome of the equation being done to x

m=slope

b=starting point on the you axis

x=the plug in on the x axis

y=6x+5. example: x=1

y=6 (1)+5

y=11

slope=6

Answer:

C. y - 3 = -2(x - 4)

Step-by-step explanation:

The equation of the line can be written in point-slope form as y - b = m(x - a),

Where,

m = slope

(a, b) = coordinates of a point on the line.

Find slope (m) using the points (4, 3) and (5, 1)

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 3}{5 - 4} = \frac{-2}{1} = -2 [/tex]

m = -2.

Substitute a = 4, b = 3, and m = -2, into y - b = m(x - a), the equation that best fits the graph would be:

✔️y - 3 = -2(x - 4)

Answer:

Infinitely many solutions

Step-by-step explanation:

Solve: 4(x-1)-x=3(x+5)-11

First distribute.

4x-4-x=3x+15-11

Comvine like terms.

3x=4=3x-4

Infinitely many solutions.

Hope this helps plz hit the crown :D

Answer:

[tex]y = 164[/tex]

Step-by-step explanation:

Given

[tex]y = 8x + 4[/tex]

Where

[tex]x = number\ of\ comic\ books[/tex]

[tex]y = total\ cost[/tex]

Required

Find y when x = 20

To do this, we simply substitute 20 for x in [tex]y = 8x + 4[/tex]

[tex]y = 8*20 + 4[/tex]

[tex]y = 160 + 4[/tex]

[tex]y = 164[/tex]

Hence, 20 comic books cost 164

Answer:

b. radiation

Step-by-step explanation:

b. radiation

Answer

Conduction

Step-by-step explanation:

Please mark brainliest.

Answer:

g(x) = -x + 3

Step-by-step explanation:

We are given:

f(x) = -x + 6

g(x) = f(x+3)

Since g is not explicitly given, we are required to find the equation for function g.

Function g is given in terms of f, thus we only have to substitute x+3 for x in f as follows:

g(x) = f(x+3) = -( x + 3 ) + 6

g(x) = -x - 3 + 6

Simplifying:

g(x) = -x + 3

Answer:

Option C: 5(b+4) is the correct answer.

Step-by-step explanation:

Given that:

Which expression represents the product of 5 and the sum of b and 4.

We will divide it into two parts;

The sum of b and 4 means addition

b+4

And product means multiplication;

5(b+4)

The expression 5(b+4) represents the product of 5 and the sum of b and 4.

Hence,

Option C: 5(b+4) is the correct answer.

Answer:

55

Step-by-step explanation:

180 - 82 - 43 = 55

I think this is right! I hope you have a good day and stay safe!

9514 1404 393

Answer:

  $1200

Step-by-step explanation:

60 attendees is 12 times 5 attendees, so we expect the amount raised to be 12 times $100.

$1200 will be raised for 60 attendees.

Answer:

0.05 or 5/100

Step-by-step explanation:

Answer:

∠2=37°

Step-by-step explanation:

Given:

∠1=4x°

∠2=∠4 (Vertical Angle Theorem)

∠3=90°

∠4=(3x+1)°

∠4=∠2 (Vertical Angle Theorem)

∠1+∠2+∠3=180° (We use this equation in the next step)

∠1+∠3+∠4=180°

Thus, ∠2=(3x+1)°, making:

(4x)°+(3x+1)°+90°=180°

7x+91=180

7x=89

x=12

This means:

∠1=4x=4(12)=48°

∠2=3x+1=3(12)+1=37°

∠3=90°

∠4=3x+1=3(12)+1=37°

Answer:

-29

Step-by-step explanation:

Answer:

D;-29

Step-by-step explanation:

3 - (-4)(-8)

= 3--32

= -29

Answer:

9

Step-by-step explanation:

36 ÷ 4 = 9

36 ÷ 9 = 4

Answer:

9

Step-by-step explanation:

Answer:

-21i+9

Step-by-step explanation:

7i times -3i= -21i

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

The range is the difference between the largest and smallest numbers. The mid range is the average of the largest and smallest number.

Hope this helps!

Answer: 475

sorry i solved it wrong the first time

Answer:

a₈₀ = 475

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

7 - 1 = 13 - 7 = 19 - 13 = 6

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 6 , thus

a₈₀ = 1 + (79 × 6) = 1 + 474 = 475

Answer:

Given - Two angles measures 2x and 3x

To find - size of 3x

Solution -

2x + 3x = 360° ( Make reflex angle )

5x = 360°

x = 360/5

x = 72°

3x = 3 * 72 = 216°

Answer: $21165

Step-by-step explanation:

249 x 85 = 21165

Answer:

cute cat!

Step-by-step explanation:

Answer:

Step-by-step explanation:

false.

9514 1404 393

Answer:

  h ≤ -7/2

Step-by-step explanation:

This is what is known as a "2-step" problem.

The first step is to "isolate the variable term" by adding the opposite of the term on the left that does not have the variable in it. That is, we want to add -4 to both sides of the inequality.

  4 -4 +2h ≤ -3 -4 . . . . add -4 to both sides

  2h ≤ -7 . . . . . . . . . . variable term isolated

Now, we want to get rid of the coefficient of the variable (make it be 1), so we use the multiplicative inverse. That is, we multiply both sides of the inequality by 1/2, the reciprocal of the coefficient.

  (1/2)(2h) ≤ (1/2)(-7) . . . . . multiply both sides by 1/2

  h ≤ -7/2 . . . . the solution

__

For an inequality, multiplying or dividing by a negative number causes the direction of the comparison to be reversed. (Here, our multiplier was 1/2, not negative, so no such reversal was required.)

Example:

  1 < 2

  -1 > -2 . . . . . both sides multiplied (or divided) by -1

_____

Additional comment

As when solving equations, you must do the same thing to both sides of the inequality.