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vivado [14]
4 years ago
7

Mr. Wilson wants to park his car in his parking garage. To find the cost, he uses the equation D= 3H+6, where D represents the t

otal amount, in dollars, charged for parking a car for H hours. If Mr. Wilson spent $30, how many hours did he park in the parking garage?
Mathematics
1 answer:
charle [14.2K]4 years ago
7 0

Answer: 8\ hours

Step-by-step explanation:

You know that Mr. Wilson uses the following equation to find the cost:

D= 3H+6

Then, if Mr. Wilson spent $30, you can follow these steps in order to calculate how many hours he parked in the parking garage:

1. You need to substitute D=30 into the given equation:

30= 3H+6

2. Now, you must solve for "H":

30= 3H+6\\\\30-6=3H\\\\24=3H\\\\\frac{24}{3}=H\\\\H=8

Therefore, based on the result, you can conclude that Mr. Wilson parked his car in the parking garage for 8 hours.

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OverLord2011 [107]
Answer:

6 * 10 to the -2nd power = 0.00027777777

4.2 to the -3rd power = 0.01349746247

If this helped leave a thanks, thanks.
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Using the slope formula, find the slope of the line through the given points.<br> (8,-6) and (1, -6)
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Step-by-step explanation:

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4 years ago
∫(cosx) / (sin²x) dx
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If you're using the app, try seeing this answer through your browser:  brainly.com/question/2822772

_______________


Evaluate the indefinite integral:

\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx}\\\\\\&#10;=\mathsf{\displaystyle\int\! \frac{1}{(sin\,x)^2}\cdot cos\,x\,dx\qquad\quad(i)}


Make the following substitution:

\mathsf{sin\,x=u\quad\Rightarrow\quad cos\,x\,dx=du}


and then, the integral (i) becomes

=\mathsf{\displaystyle\int\! \frac{1}{u^2}\,du}\\\\\\&#10;=\mathsf{\displaystyle\int\! u^{-2}\,du}


Integrate it by applying the power rule:

\mathsf{=\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\&#10;\mathsf{=\dfrac{u^{-1}}{-1}+C}\\\\\\&#10;\mathsf{=-\,\dfrac{1}{u}+C}


Now, substitute back for u = sin x, so the result is given in terms of x:

\mathsf{=-\,\dfrac{1}{sin\,x}+C}\\\\\\&#10;\mathsf{=-\,csc\,x+C}


\therefore~~\boxed{\begin{array}{c}\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx=-\,csc\,x+C} \end{array}}\qquad\quad\checkmark


I hope this helps. =)


Tags:  <em>indefinite integral substitution trigonometric trig function sine cosine cosecant sin cos csc differential integral calculus</em>

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The measures of the angles are 65° and 80°

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With this knowledge we can write an equation.

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+15 symbolizes the difference between the two angles

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2x = 130

x = 65

65 is the size of one of the angles.

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80 is our second angle

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A is the answer I hope e2020 is going good for you 
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