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9 months ago

32 divided by 2 show your work

Mathematics

1 answer:

Jobisdone [24]9 months ago

6 0

Answer:

Step-by-step explanation:

$32 \div 2$

$\frac{32}{2}$

$16$

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Write 81.9 as a mixed number.

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Answer:

81 9/10

Step-by-step explanation:

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2 years ago

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Alchen [17]

Answer:

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2 years ago

There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest inch, how many inches are in 12 meter

Alexandra [31]

Answer:

12 meters = 472.441 inches

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2 years ago

Please do #4 It’s it the one on the bottom

spin [16.1K]

We need to graph this equation:

$16x+2y=300$

Its solutions are the points through which it graph passes. Since it's a linear equation its graph is a straight line and we only need two of its points to draw it. But before graphing let's re-write the equation. We can substract 16x from both sides:

$\begin{gathered} 16x+2y=300 \\ 16x+2y-16x=300-16x \\ 2y=300-16x \end{gathered}$

And we divide both sides by 2:

$\begin{gathered} \frac{2y}{2}=\frac{300-16x}{2}=\frac{300}{2}-\frac{16x}{2} \\ y=150-8x \end{gathered}$

So now with this equation if we pick two random x values we'll get their corresponding y values. This way we'll find two points that are part of the graph which is the line that passes through both. We can begin with x=0:

$y=150-8\cdot0=150$

So the first point is (0,150). Then we can take x=10 and we get:

$y=150-8\cdot10=150-80=70$

So the second point is (10,70). Then the graph is the line that passes through points (0,150) and (10,70). In order to represent it

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7 months ago

Evaluate the integral of the quotient of the cosine of x and the square root of the quantity 1 plus sine x, dx.

VMariaS [17]

Answer:

∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c.

Step-by-step explanation:

In order to solve this question, it is important to notice that the derivative of the expression (1 + sin(x)) is present in the numerator, which is cos(x). This means that the question can be solved using the u-substitution method.

Let u = 1 + sin(x).

This means du/dx = cos(x). This implies dx = du/cos(x).

Substitute u = 1 + sin(x) and dx = du/cos(x) in the integral.

∫((cos(x)*dx)/(√(1+sin(x)))) = ∫((cos(x)*du)/(cos(x)*√(u))) = ∫((du)/(√(u)))

= ∫(u^(-1/2) * du). Integrating:

(u^(-1/2+1))/(-1/2+1) + c = (u^(1/2))/(1/2) + c = 2u^(1/2) + c = 2√u + c.

Put u = 1 + sin(x). Therefore, 2√(1 + sin(x)) + c. Therefore:

∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c!!!

4 0

2 years ago

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