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PIT_PIT [208]
3 years ago
14

What is the decimal 0.84 (84 repeating) as a fraction? Help pretty please

Mathematics
1 answer:
mr_godi [17]3 years ago
4 0

Answer:

28/33

Step-by-step explanation:

We first let 0.84 be  x.

Since  x  is recurring in 2 decimal places, we multiply it by 100.

100x=84.84

Next, we subtract them.

100x−x=84.84−0.84

99x=84

Lastly, we divide both sides by 99 to get  x  as a fraction.

x=84/99

=28/33

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Surface integrals using an explicit description. Evaluate the surface integral \iint_{S}^{}f(x,y,z)dS using an explicit represen
Jobisdone [24]

Parameterize S by the vector function

\vec r(x,y)=x\,\vec\imath+y\,\vec\jmath+f(x,y)\,\vec k

so that the normal vector to S is given by

\dfrac{\partial\vec r}{\partial x}\times\dfrac{\partial\vec r}{\partial y}=\left(\vec\imath+\dfrac{\partial f}{\partial x}\,\vec k\right)\times\left(\vec\jmath+\dfrac{\partial f}{\partial y}\,\vec k\right)=-\dfrac{\partial f}{\partial x}\vec\imath-\dfrac{\partial f}{\partial y}\vec\jmath+\vec k

with magnitude

\left\|\dfrac{\partial\vec r}{\partial x}\times\dfrac{\partial\vec r}{\partial y}\right\|=\sqrt{\left(\dfrac{\partial f}{\partial x}\right)^2+\left(\dfrac{\partial f}{\partial y}\right)^2+1}

In this case, the normal vector is

\dfrac{\partial\vec r}{\partial x}\times\dfrac{\partial\vec r}{\partial y}=-\dfrac{\partial(8-x-2y)}{\partial x}\,\vec\imath-\dfrac{\partial(8-x-2y)}{\partial y}\,\vec\jmath+\vec k=\vec\imath+2\,\vec\jmath+\vec k

with magnitude \sqrt{1^2+2^2+1^2}=\sqrt6. The integral of f(x,y,z)=e^z over S is then

\displaystyle\iint_Se^z\,\mathrm d\Sigma=\sqrt6\iint_Te^{8-x-2y}\,\mathrm dy\,\mathrm dx

where T is the region in the x,y plane over which S is defined. In this case, it's the triangle in the plane z=0 which we can capture with 0\le x\le8 and 0\le y\le\frac{8-x}2, so that we have

\displaystyle\sqrt6\iint_Te^{8-x-2y}\,\mathrm dx\,\mathrm dy=\sqrt6\int_0^8\int_0^{(8-x)/2}e^{8-x-2y}\,\mathrm dy\,\mathrm dx=\boxed{\sqrt{\frac32}(e^8-9)}

5 0
3 years ago
Ryan is opening up a bookstore, where he sells both new and old books. He
Vinil7 [7]

Answer:

$337.50

Step-by-step explanation:

$12.50(16) = $200

$5.50(25) = $137.50

Add the totals up:

$200 + 137.50 = $337.50

Ryan's revenue for last month was $337.50 :)

4 0
3 years ago
The current price of bulk organic sugar is $6 per pound, which is 20% more than it used to
sweet [91]
The previous price was $5
7 0
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In a survey of 1,600 people who owned a certain type of car, 720 said they would buy
bazaltina [42]

The percentage of the people surveyed that were satisfied with the car is 45%.

<u>Given the following data:</u>

  • Total population = 1,600 people
  • Number of car owner = 720 people.

To determine the percentage of the people surveyed that were satisfied with the car:

<h3>How to solve for a percentage.</h3>

In this exercise, you're required to calculate the percentage of the total population in this survey that would by a particular type of car again because they were satisfied with it. Thus, we would solve for the percentage as follows;

Percent = \frac{Satisfied\;persons}{Total\; population} \times 100

Substituting the given parameters into the formula, we have;

Percent = \frac{720}{1600} \times 100\\\\Percent = 0.45 \times 100

Percent = 45%

Read more on percentage here: brainly.com/question/14432715

3 0
2 years ago
What is 3 3/5 + 4 11/15=?
Vitek1552 [10]
Equal to 4.73 repeating, rounded is 4.7
3 0
3 years ago
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