Write the word sentence as a equation. Then solve the equation 13 subtracted from a number w is 15

Mathematics

1 answer:

patriot [66]3 years ago

7 0

W-13=15 add 13 on both sides to isolate variable and you get w=13+15, w=28

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A ball is thrown from ground level straight up into the air at an intitial velocity of 54 feet per second. The height of the bal

bonufazy [111]

Answer:

3 3/8 seconds.

Step-by-step explanation:

When it reaches the ground h = 0 so:

54t - 16t^2 = 0

16t^2 - 54t = 0

2t(8t - 27) = 0

t = 0 or t = 27/8 (we ignore the t = 0 ) so:

t = 3 3/8 seconds.

3 0

3 years ago

∫(cosx) / (sin²x) dx

kirza4 [7]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2822772

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Evaluate the indefinite integral:

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

Make the following substitution:

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

and then, the integral (i) becomes

$=\mathsf{\displaystyle\int\! \frac{1}{u^2}\,du}\\\\\\
=\mathsf{\displaystyle\int\! u^{-2}\,du}$

Integrate it by applying the power rule:

$\mathsf{=\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\
\mathsf{=\dfrac{u^{-1}}{-1}+C}\\\\\\
\mathsf{=-\,\dfrac{1}{u}+C}$

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

$\mathsf{=-\,\dfrac{1}{sin\,x}+C}\\\\\\
\mathsf{=-\,csc\,x+C}$

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

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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4 years ago

Choose all that are correct.

NeTakaya

Answer:

Step-by-step explanation:

7 0

3 years ago

The statement below describes a situation in which opposite quantities combine to make zero:

77julia77 [94]

The answer is false. if the quantities combine to make zero

3 0

4 years ago

Read 2 more answers

Why are vectors important?

Pavlova-9 [17]

Vector is a quantity having magnitude as well as direction
its important because these are best way to relate a relationship between speed acceleration velocity etc
and helps to understand how the world that is around u behave
so vectors are really important
hope it helps

4 0

3 years ago