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Using it's concept, it is found that the domain of the function y = tan(x/8) is given by:

All real numbers except [tex]x \neq 4\pi + 8n\pi[/tex], where n is any integer.

It is the set that contains all possible input values for the function.

Tangent of an angle is sine of the angle divided by the cosine of the angle, and the cosine is 0 at:

[tex]\frac{\pi}{2} + n\pi[/tex]

Hence, supposing a composite tangent function [tex]\tan{[f(x)]}[/tex], the domain is given by:

[tex]f(x) \neq \frac{\pi}{2} + n\pi[/tex]

In this problem, we have that [tex]f(x) = \frac{x}{8}[/tex], hence the domain is:

[tex]\frac{x}{8} \neq \frac{\pi}{2} + n\pi[/tex]

[tex]x \neq 4\pi + 8n\pi[/tex]

All real numbers except [tex]x \neq 4\pi + 8n\pi[/tex], where n is any integer.

More can be learned about the domain of a function at https://brainly.com/question/27730656

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Answer:

It's B

Step-by-step explanation:

Answer:

You'll need to have great test scores to qualify for admission.

Answer:

0.3043

Step-by-step explanation:

7/23 = 0.3043

Hi!

Your answer should be: 2.00 (or 2).

Hope this helps!

Answer:

I think the answer is B. $12.55

Step-by-step explanation:

14.50 - 6.95 = 7.55

7.55 + 5 = 12.55

Hi!

your answer would be: B

Reason being: If you subtract $6.95 from $14.50 you get $7.55 (which is what she had leftover after she bought the ticket). She needed $5 more to get snacks, so add $5 to $7.55 and you get $12.55.

Hope this helps!

Answer:

78

Step-by-step explanation:

Answer:

The probability  is  [tex]P( p  >  0.585) =  0.044565  [/tex]

Step-by-step explanation:

From the question we are told that

   The population proportion is p =  0.50

   The sample size is n = 100

Gnerally the mean of the sampling distribution is  

          [tex]\mu_x =  0.50[/tex]

Generally the standard deviation of the sampling distribution is  

              [tex]\sigma  =  \sqrt{\frac{p(1- p)}{n} }[/tex]

=>            [tex]\sigma  =  \sqrt{\frac{0.5 (1- 0.5)}{100} }[/tex]

=>            [tex]\sigma  =0.05[/tex]

Generally the approximate probability that the cable company will keep the shopping channel

[tex]P( p  >  0.585) =  P(\frac{p- \mu_{x}}{\sigma }  > \frac{0.585 - 0.50}{0.05} )[/tex]

Generally  [tex]\frac{p- \mu_{x}}{\sigma } = Z (The  \  standardized \  value  \  of  p )[/tex]

=>  [tex]P( p  >  0.585) =  P(Z > 1.7 )[/tex]

From the z-table the probability of  (Z > 1.7 ) is  

       [tex]P(Z > 1.7 ) = 0.044565[/tex]

So [tex]P( p  >  0.585) =  0.044565  [/tex]

Answer:

A plane figure with at least having three side and angles.

Step-by-step explanation:

typically five or more than five.

Answer:

$98.90 looks right to me

Answer:

The temperature in Duluth is closer to zero

Step-by-step explanation:

-29,-28,-27,-26,-25,-24,-23,-22,-21,-20,-19,-18,-17,-16,-15,-14,-13,-12,-11,-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31

-29<31

Answer:

Duluth

Step-by-step explanation:

The temperature in Duluth is closer to 0 degrees.

Try to think of these two numbers on a number line.

-29 degrees is 29 points away from 0  →  -29 + 29 = 0

However, 31 degrees is 31 points away from 0. If you subtract Duluth's temperature from St. Louis's temperature, you get 2.

31 + (-29) = 2

Since Duluth's temperature would be exactly zero degrees and St. Louis's temperature would be two degrees from zero, Duluth is closer to zero degrees.

Hope that helps.

Answer:

83

Step-by-step explanation:

All sides of a triangle combined equal 180 so you would add the values you have and then subtract it from 180

Step-by-step explanation:

We know that:-

All angles of a triangle sum up to give 180°.

So, According to Question,

[tex]20 + 87 + x = 180[/tex]

[tex]107 + x = 180[/tex]

[tex]x = 180 - 107[/tex]

[tex]x = 73[/tex]

So, x = 73° is the answer.

Hope it helps :)

Answer:

A. The 14 in the expression could be changed to 28

Because 40% of 70 is 28

Answer: You need to combine like terms the answer is 2y+2x

Answer:

2y + 2x

Step-by-step explanation:

I assume the question was to simplify/combine

Answer:

lunch was $20.90

Step-by-step explanation:

Answer:

p=2   w=3

Step-by-step explanation:

6p-2-3p=4 combine like terms. 3p-2=4. add 2 to both sides. 3p=6. divide 6 both sides by 3. p=2

7w-5=-2w+22. Combine like terms on same sides. 7w+2w=5+22. 9w=27. Divide both sides by 9. w=3.

Answer:

Step-by-step explanation:

Solve for P

6p - 2 - 3p = 4

6p - 3p = 4 + 2

3p = 6

p = 6/3

p = 2

Solve for W

7w - 5 = -2w + 22

7w + 2w = 22 + 5

9w = 27

w = 27/9

w = 3

Answer:

The difference in the amount of interest she would have to pay for the two loans is $1,400

Step-by-step explanation:

The amount of loan Holly is taking out, P = $10,000

The choices available for the loan are;

1) Loan duration, T₁ = 4-year

Interest rate, R₁ = 4%

2) Loan duration, T₂ = 6-year

Interest rate, R₂ = 5%

For the first choice, we have;

The simple interest, I, given by the formula;

[tex]I_1 = \dfrac{P \times R_1 \times T_1 }{100} = \dfrac{10,000 \times 4 \times 4 }{100} = \$ 1,600[/tex]

For the second choice, we have;

The simple interest, I, given by the formula;

[tex]I_2 = \dfrac{P \times R_2 \times T_2 }{100} = \dfrac{10,000 \times 5 \times 6 }{100} = \$ 3,000[/tex]

The difference, D, in the amount of interest she would have to pay for the two loans is therefore;

D = I₂ - I₁ = $3,000 - $1,600 = $1,400

The difference in the amount of interest she would have to pay for the two loans = D = $1,400.

Answer:

1400

Step-by-step explanation:

I got this question right...

Answer:

uhm- 8070000? i think-

Answer:

The line on the right, closest to 1.

Step-by-step explanation:

We know since it is four thirds, that it is more than 1. That shows us it'll be at least on or over the 1 point.

Then we have one third, there's three points. Put it on the first point leading to 2.

Answer:

x = 2

Step-by-step explanation:

Step 1: Write equation

6 - 7x = 7x - 9x - 4

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

6 - 7(2) = 7(2) - 9(2) - 4

6 - 14 = 14 - 18 - 4

-8 = -4 - 4

-8 = -8

Answer: I think C

..............................

Answer:

x = −  2 (a − 2 b c )  / 2 b + a q

Step-by-step explanation:

b(-4c+2x) = a(-2–qx)

−4bc+2bx=−2a−aqx

2bx=−2a−aqx+4bc

2bx+aqx=−2a+4bc

x(2b+aq)=−2a+4bc

x(2b+aq)=−2(a−2bc)

x=[tex]-\frac{2(a-2bc)}{2b+aq}[/tex]

Answer:

Step-by-step explanation:

Given the equations:

4c-d = f  ....... 1

d = c-e....... 2

f = d + e....... 3

Substitute 2 into 1

4c -(c-e) = f

4c -c + e =f

3c + e = f ......4

Substitute equation 3 into 4:

3c+e = d+e

subtract e from both sides

3c+e-e = d+e-e

3c = c (Proved)

Answer:

What kind of name is fernanda lol

Step-by-step explanation:

Answer:

When you input 8, the output will be 40

When you input 14, the output will be 9

Step-by-step explanation:

let the function = fn

If    fn < 10,       then output = 5(fn)

If    fn  ≥ 10,   then, Output =  fn - 5

When you input 8 ( 8 is less than 10, then multiply by 5)

fn = 8  and 8 < 10

Output = 5(fn)

Output = 5 x 8

Output = 40

When you input 14 ( 14 is greater than 10, then subtract 5 from the input)

Output = fn - 5

Output = 14 - 5

Output = 9

Answer:

a finite combination of symbols that is well-formed according to rules that depend on the context

Step-by-step explanation:

why do i feel like you have the same math teacher as me he asked me the same question on google classroom anyways hope this helps

Answer:

54

Step-by-step explanation:

18x(9-3)/2

18x6/2

108/2

54