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mario62 [17]
3 years ago
15

Write 0.87 as a fraction

Mathematics
2 answers:
frez [133]3 years ago
4 0
87/100 because the decimal version is 0.87 out of 100
Deffense [45]3 years ago
3 0

0.87 = 87/100 <=== this is the fraction


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How do you do this question?
Ksivusya [100]

Answer:

V = (About) 22.2, Graph = First graph/Graph in the attachment

Step-by-step explanation:

Remember that in all these cases, we have a specified method to use, the washer method, disk method, and the cylindrical shell method. Keep in mind that the washer and disk method are one in the same, but I feel that the disk method is better as it avoids splitting the integral into two, and rewriting the curves. Here we will go with the disk method.

\mathrm{V\:=\:\pi \int _a^b\left(r\right)^2dy\:},\\\mathrm{V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy}

The plus 1 in '1 + 2/x' is shifting this graph up from where it is rotating, but the negative 1 is subtracting the area between the y-axis and the shaded region, so that when it's flipped around, it becomes a washer.

V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy,\\\\\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\\=\pi \cdot \int _1^3\left(1+\frac{2}{y}\right)^2-1dy\\\\\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\= \pi \left(\int _1^3\left(1+\frac{2}{y}\right)^2dy-\int _1^31dy\right)\\\\

\int _1^3\left(1+\frac{2}{y}\right)^2dy=4\ln \left(3\right)+\frac{14}{3}, \int _1^31dy=2\\\\=> \pi \left(4\ln \left(3\right)+\frac{14}{3}-2\right)\\=> \pi \left(4\ln \left(3\right)+\frac{8}{3}\right)

Our exact solution will be V = π(4In(3) + 8/3). In decimal form it will be about 22.2 however. Try both solution if you like, but it would be better to use 22.2. Your graph will just be a plot under the curve y = 2/x, the first graph.

5 0
3 years ago
A runner is preparing for a marathon that is cut into 5 equal sections. The marathon is 42.95 kilometers long. How long is each
Lisa [10]
Your answer is 21.475km
5 0
2 years ago
Read 2 more answers
F(x)= 9-x^2, x ≥ 0. f^-1(x)=??
julia-pushkina [17]
y=9-x^{2},\ x\ge0

Reverse x and y:
x=9-y^{2},\ y\ge0
Solve for y:
x=9-y^{2}
\rightarrow y^{2}=9-x
\rightarrow y=\sqrt{9-x} since y\ge0
7 0
3 years ago
10) On Tuesday Imani bought eight hats. On
SashulF [63]
34 I hope this helped!
6 0
2 years ago
Please answer this question for points
alexgriva [62]

Answer:

<h2>y = -2x + -3</h2>

Step-by-step explanation:

Slope-intercept form is y = mx + b

"m" is the slope, how steep the line is.

"b" is the y-intercept, where to graph hits the y-axis.

Check the scale for this grid. Since there are "1" written on the first box after the middle, <u>one square = one unit</u>.

To find "m", use  m = \frac{rise}{run}   between the two dotted points on the graph. The first point is always on the left.

<u>"Rise" means how many squares above</u> the first point the second point is.

Since the second point is below the first point, the number is negative.

<u>"Run" means how many squares to the right</u> the second point is.

m = \frac{rise}{run}          

m = \frac{-2}{1}

m = -2

To find "b", look at where the graph it touching the y-axis.

The y-axis is the vertical line (going from top to bottom).

Count the number of squares from the grid's middle to the graph line.

There are 3 squares.

Since the graph touches below the origin, this is a negative number.

b = -3

In the boxes, you put negative two (-2) and negative three (-3).

* Usually we would simplify the equation to y = -2x - 3.

6 0
2 years ago
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