Which of these sets of numbers is correctly ordered from least to greatest?
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Answer:

[tex]\huge\boxed{x\in\left\{\dfrac{\pi}{6};\ \dfrac{\pi}{2}\ \dfrac{3\pi}{2};\ \dfrac{5\pi}{6}\right\}}[/tex]

Step-by-step explanation:

[tex]\cos x=\sin2x\qquad|\text{use}\ \sin\theta=2\sin\theta\cos\theta\\\\\cos x=2\sin x\cos x\qquad|\text{subtract}\ \cos x\ \text{from both sides}\\\\0=2\sin x\cos x-\cos x\\\\2\sin x\cos x-\cos x=0\qquad|\text{distribute}\\\\\cos x(2\sin x-1)=0\iff\underbrace{\cos x=0}_{(1)}\ \vee\ \underbrace{2\sin x-1=0}_{(2)}[/tex]

[tex](1)\\\cos x=0\Rightarrow x=\dfrac{\pi}{2}+k\pi;\ k\in\mathbb{Z}[/tex]

[tex](2)\\2\sin x-1=0\qquad|\text{add 1 to both sides}\\\\2\sin x=1\qquad|\text{divide sides by 2}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi[/tex]

[tex]\text{From}\ (1)\ \text{and}\ (2)\ \text{we have}\\\\x=\dfrac{\pi}{2}+k\pi\ \vee\ x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi\\\\\text{We have the interval}\ x\in[0;2\pi).\ \text{Therefore the solution is:}\\\\x\in\left\{\dfrac{\pi}{6};\ \dfrac{\pi}{2}\ \dfrac{3\pi}{2};\ \dfrac{5\pi}{6}\right\}[/tex]

Answer:

D.  If you take a very large sample of the times Jackson tunes in to his favorite TV station, a commercial will be on about 35% of the time.

This is the right answer

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If you take a very large sample of the times Jackson tunes in to his favorite TV station, a commercial will be on  about [tex]35\%[/tex] of the time.

Probability refers to the branch of mathematics regarding numerical descriptions of how likely an event is to occur. The probability of an event is a number between [tex]\boldsymbol{0}[/tex] and [tex]\boldsymbol{1}[/tex]

[tex]0[/tex] indicates impossibility of the event and [tex]1[/tex] indicates certainty.

If Jackson turns on his favorite TV station at a randomly selected time, the probability that the current show will be on is that ''If you take a very large sample of the times Jackson tunes in to his favorite TV station, a commercial will be on  about [tex]35\%[/tex] of the time.''

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9514 1404 393

Answer:

Step-by-step explanation:

You know the general term of an AP is ...

  an = a1 +d(n-1)

Here, a1 = k. The common difference is ...

  2k/3 -k = -k/3

So, the general term is ...

  an = k +(k/3)(n -1) . . . . the general term

__

The 6th term is then ...

  a6 = k + (k/3)(6 -1) = (3k +5k)/3 = 8k/3 . . . . 6th term

__

The 20th term is ...

  a20 = k + (k/3)(20 -1) = 22k/3

If this is 15, then the value of k is ...

  22k/3 = 15

  22k = 45

  k = 45/22 . . . . value of k for a20 = 15

Answer:

C

Step-by-step explanation:

just plug in 3 to x and solve

Answer:

$100 if you are trying to find the nearest hundreth.

Step-by-step explanation:

f(x) = [tex]\frac{2x + 7 - x^2}{4}[/tex]

f(2) just means we substitute 2 in for x.

f(2) = [tex]\frac{2(2) + 7 - (2)^2}{4}[/tex] = [tex]\frac{4 + 7 - 4}{4}[/tex] = [tex]\frac{7}{4}[/tex]

Answer:

please I need help......gjmtjmgj?hi?tmzdthwyriyotul!tkht

Answer:

account for the majority of O-rings produced, namely Nitrile, EPDM and ... For the most current information, contact the O-Ring Division. ... O-ring resulting in “nibbling” (see Zatkoff Product catalog, ... 72 0,23. 30 0,25. 89 0,25. 47 0,25. 07 0,25. 64 0,25. 24 0,25. 82 0,30. 42 0,30. 99 0, ... JASO-1016 ... R12,5-591 ... R26,5-605.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

R;2 B;1 P;

Step-by-step explanation:

R is red there are 2 reds

B is blue there are 1 blues

P is purple there are 1 purples

Answer: y =5(5)-3

5*5=25-3 =22  ANSWER IS y=22

Answer:

y = 40°

Step-by-step explanation:

Hi !

2y + (y + 10) + 50° = 180°

3y = 180° - 50° - 10°

3y = 120°

y = 120° ÷ 3

y = 40°

Good luck !

Answer:

x= -1.22

Step-by-step explanation:

I think in this case you would be solving for x. So, to start you would expand the 2 out to the (x-3). That would give you 2x-6. Then you would expand the 7 out to the (x+2). That would give you 7x+14. You would then be left with       2x-3+7x+14. You would then combine like terms and get 9x+11. To solve for x you would subtract 11 leaving you with 9x= -11. From there you would divide -11 by 9 and get x= -1.22.

Have a wonderful day!! :)

Answer:

c.)2 g/ml

Step-by-step explanation:

Given:

Mass of block = 12 g

Volume of block = 6 ml

Required:

Density of the block

SOLUTION:

Density is given as the mass of the block per unit volume.

Thus, density = mass/volume

Density of block = [tex] \frac{12 g}{6 ml} [/tex]

= 2 g/ml.

The answer is c. 2 g/ml.

Answer:

258m

Step-by-step explanation:

This is a guess, if you could, please post your answer again, but this time click the paperclip icon, and add a screenshot of the figure!

Step-by-step explanation:

This is a geometric series, where the first term is -5 and the common ratio is -⅔.

aₙ = -5 (-⅔)ⁿ⁻¹

Answer:

(3,4)

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Answer:

The concentration of pollutants in the water can be defined as the quotient between the mass of pollutants and the total mass of water.

Assuming that 1L of water weighs 1000 grams, we know that:

Mass of pollutants = 5mg = 0.005g.

Initial concentration = 0.005g/1000g = 0.000005

If we multiply this by 100%, we get the percentage:

0.000005*100% = 0.0005%

Now, the mass of pollutants decreases by 10% each hour.

So if initially, we have 5mg

After one hour, we will have: 5mg - 0.1*5mg = 5mg*(0.9).

After another hour, we will have: 5mg*(0.9) - 0.1*5mg*0.9 = 5mg*(0.9)^2.

And so on, then after n hours, the mass of pollutants will be:

M(n) = 5mg*(0.9)^n

Or we can write this in grams as:

M(n) = 0.005g*(0.9)^n

Then the concentration as a function of time in hours will be:

C(n) = M(n)/1000g = (0.005g/1000g)*(0.9)^n

Notice that the thing between the parentheses is the initial concentration, then if we write this in percentage form:

c(n) = 100%*(0.005g/1000g)*(0.9)^n = 0.0005%*(0.9)

The function that represents the concentration of polution in the water as a function of hours is:

c(n) = 0.0005%*(0.9)

Answer:

14

Step-by-step explanation:

Answer:

4b +3

Step-by-step explanation:

you would replace f(x) with f(2b), so

f(2b) = 2(2b)+3

4b +3

Answer:

15

Step-by-step explanation:

Order of operations: Parentheses, Exponents, Multiplication, Division, Addition/Subtraction

We'll start with division first. 10/2 = 5, 3/3 = 1

Then, we'll add the terms left. 5 + 3 + 6 + 1 = 15

Answer:

a=25 b=100 c=17 d=68

Step-by-step explanation:

the test said so

Answer:

coefficient

Step-by-step explanation:

Answer:

Irrational

Rational

Rational

Rational

Irrational

Step-by-step explanation:

Answer:

-13824

Step-by-step explanation:

Answer:

Trailer Park Boys I believe

Answer:

trailer park boys i think

Step-by-step explanation:

Answer:

i think it is -1/2

Answer:

[tex] -\dfrac{13}{18} [/tex]

Step-by-step explanation:

[tex] -\dfrac{8}{9} - (-\dfrac{1}{6}) = [/tex]

[tex] = -\dfrac{8}{9} + \dfrac{1}{6} [/tex]

[tex] = -\dfrac{16}{18} + \dfrac{3}{18} [/tex]

[tex] = -\dfrac{13}{18} [/tex]

Answer:

5.1% chance

Step-by-step explanation:

Answer:

What

Step-by-step explanation: what i dont andestod