Find the equation of the line. Use exact numbers.

The value of the expression Csc(6x)-cot(6x)/csc(6x)+cot(6x) is tan²3x.

Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.

[tex]\rm =\dfrac {cosine(6x)-cot(6x)}{cosine(6x)+cot(6x)}\\\\\\\ = \dfrac{ \dfrac{1}{sin6x} - \dfrac{cos6x}{sin6x}}{ \dfrac{1}{sin6x} + \dfrac{cos6x}{sin6x}}\\\\\\ = \dfrac{ 1-cos 6x}{1+cos6x}[/tex]

( 1- cosx = 2sin²x/2) ( 1+cosx = 2cos²x/2)

[tex]\rm = \dfrac{ 2 sin^2 3x}{2 cos^2 3x}\\\\\\\\=tan^2 3x[/tex]

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Answer:

Step-by-step explanation:

11

Testing the hypothesis, we have that since the p-value of the test is 0 < 1, our response is that the presumption underestimates the proportion of defective parts.

At the null hypothesis, we test if the proportion of defectives is of at most 1%, that is:

[tex]H_0: p \leq 0.01[/tex]

At the alternative hypothesis, we test if the proportion of defectives is of more than 1%, that is:

[tex]H_1: p > 0.01[/tex]

The test statistic is given by:

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

From the sample, we have that:

[tex]n = 500, \overline{p} = \frac{15}{500} = 0.03[/tex]

Thus, the value of the test statistic is:

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

[tex]z = \frac{0.03 - 0.01}{\sqrt{\frac{0.01(0.99)}{500}}}[/tex]

[tex]z = 4.49[/tex]

The p-value of the test is the probability of finding a sample proportion above 3%, which is 1 subtracted by the p-value of z = 4.49.

z = 4.49 has a p-value of 1.

1 - 1 = 0.

The p-value of the test is 0 < 1, which means that our response is that the presumption underestimates the proportion of defective parts.

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Answer:

40 mg

Step-by-step explanation:

The ratio is 10:9 because 50:45 divided by 5 gives 10:9

if you divide 36/9 that gives you 4, then multiply your ratio by 4 to get 40:36.

[tex] \frac{27}{125} [/tex]

It is already in the simplest form. It can be written as 0.216 in decimal form (rounded to 6 decimal places).

Answer:

27 /125

is already in the simplest form. It can be written as 0.216 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 27 and 125 is 1

Divide both the numerator and denominator by the GCD

27 ÷ 1 /125 ÷ 1

Reduced fraction:  

27 /125

Therefore, 27/125 simplified to lowest terms is 27/125.

Answer:

1) 2 and 4

2) 3 and 4

3) 7 and 8

4) 9 and 10

5) 21 and 22

Step-by-step explanation:

#1

Since √(8) = √(2×4) = 2√2

then the √(8) lies between 2 & 3

#2

Since √(9) = 3 & √(16)= 4

then √(14) lies between 3 & 4

#3

√(60) = √(4×15) = 2√(15)

  since √16 = 4 and 4 × 2 = 8

  then 2√(15) < 8

∴ the √16 lies between 7 & 8

#4

√99 = √(9×11) = 3√11

√11 lies between √9 & √16 but closer to √9

   & 3 × √16 = 12

the 3√11 = √99  likely lies between 9 & 10

#5

√444 = √(4×111)= 2√111

since √100 = 10 & √121 = 11

& 2×10= 20 & 2×11= 22

then 2√111 is likely between 21 & 22

Answer:

Money decrease = $58.21

Total Bill = $159.79

Step-by-step explanation:

Starting Value = $218

Percent Decrease = 26.7%

End Value = x

Value Decrease = $218 - x

x = 1(218) - 0.267(21.8)

x = 0.733(218)

x = 159.794 ≈ $159.79

Money Decrease = $218 - $159.79 = $58.21

Total Bill = $159.79

-Chetan K

The amount by which the text book decrease is $58.206

The total textbook bill for the term is $ 159.794

The first step is the calculate the amount by which the textbook decreased

The formular can be written as

Decrease= original amount × percentage decrease

= 218 × 26.7/100

= 218 × 0.267

= 58.206

The amount by which the textbook decreased is $58.206

The total textbook bill for the term can be calculated as follows

= Original amount- amount decrease

= 218 - 58.206

= 159.794

The total textbook bill for the term is $159.794

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Answer:

3/16

Step-by-step explanation:

Answer:

4.4...

Step-by-step explanation:

20 ÷ 4 1/2

let's change 4 1/2 into an improper fraction.

20 ÷ 9/2

20 is the same thing as 20/1, so we'll express it that way.

[tex]\frac{20}{1}[/tex] ÷ [tex]\frac{9}{2}[/tex]

in order to divide fractions, you must multiply the first number (20/1) by the inverse of the second number (2/9). I'll put it in normal fraction form for clarity.

20      2

---   ×  ---

1          9

now we multiply straight across.

40

----

9

now we have 40 ÷ 9, which is 4.444...

so your answer is 4.4...

{also 4.4 with a repeating bar (tiny line over the .4)}

Answer:

yeah

Step-by-step explanation:

just felt like typing this.

This is one way of doing it.

We want to get the function into vertex form.  

y = x2 - 4x + 2                  Subtract 2 from both sides.

y - 2 = x2 - 4x                   Add (-4/2)2 , or 4, to both sides.

y - 2 + 4 = x2 - 4x + 4       Now that the right hand side is a perfect square trinomial, factor it.

y + 2 = (x - 2)(x - 2)          

y + 2 = (x - 2)2                  Subtract 2 from both sides.

y = (x - 2)2 - 2

When the equation is in this form, we can see that this is the graph of y = x2 shifted to the right 2 units and shifted down 2 units. The vertex is at (2, -2). So plot the first point at (2, -2) and go up just like a basic parabola from there. :)

The linear function is:

[tex]y = 6.07 + 0.17x, 0 \leq x \leq 3[/tex]

The equation of a line, in slope-intercept form, is given by:

[tex]y = mx + b[/tex]

In which:

In this problem:

[tex]y = 6.07 + 0.17x, 0 \leq x \leq 3[/tex]

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Answer:

See below

Step-by-step explanation:

X Intercept = (9,0)

Y Intercept = (0, -5.143) in fractions (0,-5 143/1000)

X Intercept is what is X when Y is 0.

Y Intercept is what is Y when X is 0.

If is helped you, please mark this as brainliest!! Thank you!! :)

Answer:

sloped answer

Step-by-step explanation:

(6,1) guessed soon, look other too

Answer:

the answer is 720000

Step-by-step explanation:

looked it up

Answer:

y = 15q - 5f

Step-by-step explanation:

[tex]\frac{y}{5}[/tex] + f = 3q ( subtract f from both sides )

[tex]\frac{y}{5}[/tex] = 3q - f ( multiply through by 5 to clear the fraction )

y = 15q - 5f

Answer:

Loading,please wait...

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Sum of interior angles in a 4 sided quadrilateral is 360,

110 + 70 + 14x + 23x - 5 = 360

180 + 37x - 5 = 360

180 - 5 + 37x = 360

175 + 37x = 360

37x = 360 - 175

37x = 185

x = 185 / 37

x = 5

Step-by-step explanation:

We know that,

For a tetragon the sum of all 4 angle is 360°

According to the question,

Answer:

(-2,-4)

ddddddddddddddddddddddddddddddddddddddddd

Answer:

14.4

Step-by-step explanation:

Because the figures are similar, they are basically the same figure. One is just dilated by a certain amount. To figure out the missing x, we need to find out exactly how much the small one is dilated from the bigger one.

Here's how we do that:

We know 9 and 5 are correlating sides because of where they are in relation to the right angle. We can find out how much smaller 5 is than 9 by dividing 9 by 5.

9 ÷ 5 = 1.8

This means that x is going to be bigger than 8 by a multiple of 1.8.

8 × 1.8 = x

14.4 = x

I hope this helped :)

1. True.

2. False. x² + 4 = (x+2)(x-2)

3. True.

4. False. It gives (x²-9) which is a binomial.

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Answer:

A) ∠5 = 160°

B) ∠4 = 37°

C) ∠3 = 98°

Step-by-step explanation:

A)

If ∠1 = 160°

⇒ ∠5 = ∠1 = 160° (∵ Corresponding angles are always equal)

B)

If ∠6 = 37°

⇒ ∠4 = ∠6 = 37° (∵ Vertical angles are always equal)

C)

If ∠8 = 82°

⇒ ∠8 = ∠6 = 82° (∵ Alternate interior angles are always equal)

Now ,

∠6 + ∠3 = 180° (∵ Linear pair)

⇒ ∠3 + 82° = 180°

⇒ ∠3 = 180° - 82° = 98°

Answer:

In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.

So I'd say a polynomial is a finite sum of terms in which all variables have whole number exponents and no variable appears in a denominator. The leading term in a polynomial is the term of highest degree. The constant term in a polynomial is the term without a variable.

Answer:

letter a. Po sagot diyan

Answer:

√80 = 4√5

80²=1600

Step-by-step explanation:

80 | 2

40 | 2

20 | 2

10 | 2

5 | 5

√80= 2⁴ × 5

80= 2² × 5

80 = 4√5.

Answer:

Yes! It does make up a relation. It is also a function. Each x has a y. And also the x doesn't repeat

f (9) = 5 - 2 (9)

f (9) = 5 - 18

f (9) = - 13

f (9) + 3 = - 13 + 3

f (9) + 3 = - 10

Answer:

the answer is -10

Step-by-step explanation:

Answer:

Bet!! :D can i get brainliest !! please

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

350÷12=29.1666666666666666......

if you are fitting all of them with no remainder than it would be 30 boxes

if not then 29

Answer:

29 full boxes plus one for the remainder

Step-by-step explanation:

why do you need to know this

and please dont eat that many cream puffs

Answer:

810!

Hope this helped! Have a nice day!!

Answer:

30% of 2,700 is 810

Step-by-step explanation:

proportions

0.30×2,700

810