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Olenka [21]
3 years ago
12

Maya is taking her friends to a concert. Each ticket costs

Mathematics
1 answer:
nlexa [21]3 years ago
5 0

Answer:

C=4

Step-by-step explanation:

So you multiply 3 tickets by 25 and you get $75. You then subtract $130 from $75 and you get $55 you then multiply 12 by 4 to get $48. And that's how 4 is the correct answer.

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Find dy/dx for y= x^3 ln (cot x)
ICE Princess25 [194]
<h3>Answer</h3>

  \dfrac{dy}{dx} = 3x^2 \ln(\cot x)-x^3 \csc(x)\sec(x)

<h3>Explanation</h3>

By the product rule (d/dx)(f(x)g(x)) = f(x)g'(x) + g(x)f'(x), we have

  \begin{aligned}\frac{dy}{dx} &= \left(x^3 \ln (\cot x) \right)' \\&= x^3\big(\ln (\cot x)\big)' + \ln (\cot x) \cdot \left(x^3\right)' \end{aligned}

By the chain rule:

  \begin{aligned}\big(\ln (\cot x)\big)' &= \dfrac{1}{\cot x} \cdot (\cot x)' \\ &= \dfrac{1}{\cot x} \cdot -\csc^2 x\\&= -\tan (x) \csc^2(x) \\&= - \frac{\sin x}{\cos x} \cdot \frac{1}{\sin^2 x} = - \frac{1}{\cos x} \cdot \frac{1}{\sin x} \\&= -\csc(x)\sec(x)\end{aligned}

By the power rule:

  (x^3)' = 3x^2

thus

  \begin{aligned}\frac{dy}{dx} &= x^3\big(\ln (\cot x)\big)' + \ln (\cot x) \cdot \left(x^3\right)' \\&= x^3\big( -\csc(x)\sec(x) \big) + \ln(\cot x) \cdot (3x^2) \\&= -x^3 \csc(x)\sec(x) + 3x^2 \ln(\cot x) \\&= 3x^2 \ln(\cot x)-x^3 \csc(x)\sec(x)\end{aligned}

Nothing to do to simplify any further, other than factoring out x^2.

4 0
4 years ago
The measure of the supplement of an angle is 12 more than twice the measure of the angle. Find the measures of the angle and it'
astra-53 [7]
Supplementary angles add up to 180 degrees-

Let x = "the angle"

supplement angle = 2x + 12 // 12 more than twice the measurement of "the angle"

Supplement angle + "the angle" = 180 degrees

(2x + 12) + x = 180 degrees // 2x + 12 is the supplement angle

3x + 12 = 180 //  Simplify

3x = 168 // Subtract 12 from both sides

x =  56 degrees // Divide both sides by 3

The measure of the angle is 56° and its supplement is 124°
3 0
4 years ago
Solve for y <br><br>2x - 5y = -12​
Andreyy89

Answer:

-4

Step-by-step explanation:

just add both of the sides then divide

5 0
4 years ago
Which step brings you closest to getting the variable alone on one side of the equation
Oliga [24]

Answer:

Adding 5 from both sides then dividing by 7

Step-by-step explanation:

The best way to isolate x is to add 5 to both sides first:

21 = 7x

Then to isolate x by itself divide both sides by 7

x = 3

That would be the value of x and your final answer.

5 0
3 years ago
Read 2 more answers
Simply <br><br> 28 divided by 2 plus 3(8) minus (12-8)
snow_tiger [21]
U can easily put this through a calculator, but it’s 24 :)
6 0
2 years ago
Read 2 more answers
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