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labwork [276]
2 years ago
9

What is x- 2 1/2 = 6 3/4. pls help

Mathematics
2 answers:
MAXImum [283]2 years ago
8 0
X= 9 1/4 or 9.25 in decimal form
yKpoI14uk [10]2 years ago
3 0
Try using socratic the app
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Round 458.87 to the nearest tenths. *<br>a) 459.0<br>b) 458.9<br>c) 459<br>d) 560​
marusya05 [52]
458.87 to the nearest tenths is b) 458.9
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James walked 3 3/4 miles in 7/8 of an hour. What was his speed in miles per hour?
NikAS [45]

Answer:

0.857..miles/sec

Step-by-step explanation:

this is basically your distance divided by the time:

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3 years ago
Find the area of the surface generated by revolving about the​ x-axis the portion of the astroid x Superscript two thirds Baseli
allochka39001 [22]

The correct question is:

Find the area of the surface generated by revolving about the​ x-axis, the portion of the astroid

x^\frac{3}{2} + y^\frac{2}{3} = 1

Answer: The Surface Area is

\frac{6}{5}\pi

Step-by-step explanation:

First, we rewrite the expression in terms of x,  because we are revolving about the x-axis, we want to integrate in terms of x. Doing that, we have

y = \left(1 - x^\frac{2}{3}\right)^\frac{3}{2}

Next, we differentiate y with respect to x

\frac{dy}{dx} = \frac{3}{2}\left(1 - x^\frac{2}{3}\right)^\frac{1}{2}\left(-\frac{2}{3}\right)x^\frac{-1}{3}}\\ \\= -\frac{\sqrt{\left(1 - x\right)^\frac{2}{3}}}{x^\frac{1}{3}}

Thus,

\left(\frac{dy}{dx}\right)^2 = \frac{\left(1 - x\right)^\frac{2}{3}}{x^\frac{2}{3}}}

and so

1 + \left(\frac{dy}{dx}\right) ^2 \\ \\ = 1 +\frac{(1 - x)^\frac{2}{3}}{x^ \frac{2}{3}} \\ \\=\frac{1}{x^\frac{2}{3}}

Therefore, the Surface Area is given as:

\int_{0}^{1}2\pi y \sqrt{1 + \left(\frac{dy}{dx}\right)^2}dx \\ \\= \int_{0}^{1}2\pi\left(1 - x^\frac{2}{3}\right)^\frac{3}{2}\sqrt{\frac{1}{x^\frac{2}{3}}}dx \\ \\=\int_{0}^{1}2\pi\left(1-x^\frac{2}{3}\right)^\frac{3}{2}x^\frac{-3}{2}dx. \\ \\

If we let

u = 1-x^\frac{2}{3}

then

du = -\frac{2}{3}x^{-\frac{1}{3}}dx,

so we see that

= -\frac{3}{2}\int_{0}^{1}2\pi\left(1-x^\frac{2}{3}\right)^\frac{3}{2} - \frac{2}{3}x^{-\frac{1}{3}} dx \\ \\= -3\pi \int_{0}^{1}u^\frac{3}{2}du \\ \\= 3\pi\frac{2}{5}u^\frac{5}{2}\left \{ {{u=1} \atop {u=0}} \right.  \\ \\= \frac{6}{5}\pi

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3 years ago
Mrs. Austin wraps 3 presents in 1/4 of an hour. At that rate, how many presents will be wrapped in 3 hours?
34kurt

Answer:

36

Step-by-step explanation:

5 0
3 years ago
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