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[tex]\text{Given that ,}\\\\f(x) = 4x+3\\\\g(x) = x^2 -3\\\\g(4) = 4^2 - 3 = 16-3=13\\\\f (g(4)) = f(13) = 4\times 13 + 3 = 55[/tex]

Answer:

  B. cos(pi/2) +i·sin(pi/2)

Step-by-step explanation:

You can convert to rectangular and back, or you can use the trig function relations directly.

  w = 4·cis(π/2) = 4i

  z = 3·cis(3π/2) = -3i

Then the sum is ...

  w +z = 4i -3i = i = cis(π/2) . . . . matches choice B

__

An alternative representation of z is ...

  z = -3·cis(π/2)

Then ...

  w +z = 4·cis(π/2) -3·cis(π/2) = cis(π/2)

_____

Additional comment

In the above, we have used cis(α) to represent (cos(α) +i·sin(α)).

Answer:

inverse functions is when the x and y coordinates are interchanged

Step-by-step explanation:

(1,2) and (2,1) are inverse functions. in other words they are flipped at the y=x line

Answer:

Triangle

Step-by-step explanation:

90/3=30

30×2=60.

60° internally in a triangle.

Answer: 180

Step-by-step explanation:

This is just testing if you know the sum of cubes formula:

[tex]a^3 + b^3 = (a+b)(a^2 - ab + b^2) = (a+b)((a+b)^2 - 3ab)[/tex]

Plugging in the respective values, you get

[tex]a^3 + b^3 = (6)(6^2 - 3(2)) = \boxed{180}[/tex]

1) True

2) True

3) False

4) False

5) False

6) True

7) True

8) False

Answer:

No because in question the boys is first and girls are second so according to your question the correct ratio is 3:4

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

Step-by-step explanation:

1.)  [tex]c = \sqrt{a^{2} +b^{2} }[/tex]

a = 10, b = 7, c = x?

10+7= x

[tex]10^{2} + 7^{2} =x^{2}[/tex]

100 + 49 = [tex]x^{2}[/tex]

149 = [tex]x^{2}[/tex]

[tex]\sqrt{149} =[/tex] 12.206...

x = 12.2

2.) x + 19 = 21

[tex]x^{2} + 19^{2} =21^{2}\\21^{2}-19^{2} = x^{2}[/tex]

441 - 361 = [tex]x^{2}[/tex]

80 = [tex]x^{2}[/tex]

[tex]\sqrt{80}[/tex] = 8.94

x = 9

3.) x + 16 = 27

[tex]x^{2} + 16^{2}= 27^{2} \\27^{2} -16^{2} =x^{2}[/tex]

729 - 256 = [tex]x^{2}[/tex]

473 = [tex]x^{2}[/tex]

[tex]\sqrt{473}[/tex] = 21.74

x = 21.7

4.) 12.8 + 5.3 = x

[tex]12.8^{2} + 5.3^{2} =x^{2} \\163.84 + 28.09 = x^{2}\\191.93 = x^{2} \\\sqrt{191.93} = 13.85\\x = 13.9[/tex]

8.) x = 11.48 ft

a = 3.5 ft , b = x=? , c = 12 ft

[tex]3.5^{2} + x^{2} =12^{2} \\12.25 +x^{2} =144\\144-12.25=x^{2} \\131.75 = x^{2} \\\sqrt{131.75} =11.48\\x = 11.48[/tex]

9.) x = 32.078 feet

[tex]14^{2} +x^{2} =35^{2}\\196 + x^{2} =1225\\1029 = x^{2} \\\sqrt{1029} = 32.078 ft\\x = 32.078 ft\\[/tex]

10.) perimeter = 31.96

hope this helped a lot

mark me brainliest :D

Answer:

Positive i s the correct answer.

I hope it will work out

Answer:

x=-13

Step-by-step explanation:

Subtract 22 from both sides.

-5x=67-2

Simplify  67-2 to  65.

-5x=65  

3 Divide both sides by -5.

[tex]x=-\frac{65}{5}[/tex]

​

Simplify [tex]\frac{65}{5}[/tex] to 13.

x=−13

Answer:

what is the radius of 2

Step-by-step explanation:

Answer:

yes, the question is proportional. if you multiply 9.50 by 2 you get 19 and so on and so forth. the constant rate is 9.50

Hey I dont know that answer but if you download Gaumath and take a picture of the problem the tutors on there will help you for free

Answer:

9-3/ 1/3 +1= 1

Step-by-step explanation:

PEMDAS

Answer:A

Step-by-step explanation:

Answer:

26.55°C

Step-by-step explanation:

21.85 - - 4.7

21.85 + 4.7

26.55

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

D

Step-by-step explanation:

My gut tells me D because I don't understand your language

Answer:

Consecutive interior angles

Step-by-step explanation:

Answer:

V = x^15

Step-by-step explanation:

(x^5)^3 = x^15

Answer:

Y=4

Step-by-step explanation:

Let's solve your equation step-by-step.

2y+29−8y=5

Step 1: Simplify both sides of the equation.

2y+29−8y=5

2y+29+−8y=5

(2y+−8y)+(29)=5(Combine Like Terms)

−6y+29=5

−6y+29=5

Step 2: Subtract 29 from both sides.

−6y+29−29=5−29

−6y=−24

Step 3: Divide both sides by -6.

−6y/-6=-24/-6

y=4

Hope this Helps

Answer:

b

Step-by-step explanation:

If you multiple each side by 3 then they will equal the numbers that b has

Answer:

y = -4x + 9

Step-by-step explanation:

Answer:

number 2 or 4 but i think 2

Step-by-step explanation:

Answer:

4s + 2

Step-by-step explanation:

The way we find the perimeter is we add up all the sides

s+1 + s + s+1 + s

Now we add up light terms and we get 4s+2 as our answer

Answer:

4s+2

Step-by-step explanation:

For perimeter we just have to add up all the sides.

So the equation would look like this:

s + s + (s+1) + (s+1)

There are 4 s variables and 1+1=2

So this can be simplified into :

4s+2

Hope this helps!

(Pls mark as brainiest)

Thanks!

1) The mathematical statements in Set A are linear equations (there's the equal to [=] symbol). The mathematical statements in Set B are linear inequalities (there are inequality signs like <, > etc).

2) Set A (=)

3) Set B (<, > etc.)

_______

Hope it helps ⚜ :))

Answer:

Call the number we need to find a.

Inequality: (12 + a) ÷ 2 < 27

<=> 12 + a < 54

<=> a < 54 - 12

<=> a < 42

Answer:

(1,5)

Step-by-step explanation:

y = 4x+1

y = 2x+3

Set the two equations equal

4x+1 = 2x+3

Subtract 2x from each side

4x+1-2x = 2x+3-2x

2x+1 = 3

Subtract 1 from each side

2x+1-1 =3-1

2x=2

Divide by 2

2x/2 =2/2

x =1

Now find y

y =4x+1 = 4(1)+1 =4+1=5

(1,5)

Answer:

[tex] \frac{43}{100} \times 27 = \frac{1161}{100} = 11.61[/tex]

[tex]11.61 \: is \: the \: ans[/tex]

Answer:

11.61

Step-by-step explanation:

% means 100

so we have 43/100

of means multiplication X 27

so we have 43/100x27

and the answer is 11.61

if you want to approximate it is 12

Answer:

-1 1/2

Step-by-step explanation:

1/2 is positive and - 2 is negative