3 years ago

Use the graph of the scatter plot to answer the question.

Mathematics

2 answers:

vichka [17]3 years ago

6 0

Answer:i think 0

Step-by-step explanation:

vladimir2022 [97]3 years ago

4 0

Answer:

its 0 I got it right on my question yesterday

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 7x6, y

IgorC [24]

Answer:

The volume is $\frac{490\pi}{39}$ cubic units.

Step-by-step explanation:

The given curve is

$y=7x^6$

The given line is

$y=7x$

Equate both the functions to find the intersection point of both line and curve.

$7x^6=7x$

$7x^6-7x=0$

$7x(x^5-1)=0$

$7x=0\rightarrow x=0$

$x^5-1=0\rightarrow x=1$

According to washer method:

$V=\pi \int_{a}^{b}[f(x)^2-g(x)^2]dx$

Using washer method, where a=0 and b=1, we get

$V=\pi \int_{0}^{1}[(7x)^2-(7x^6)^2]dx$

$V=\pi \int_{0}^{1}[49x^2-49x^{12}]dx$

$V=49\pi \int_{0}^{1}[x^2-x^{12}]dx$

$V=49\pi [\frac{x^3}{3}-\frac{x^{13}}{13}]_0^1$

$V=49\pi [\frac{1^3}{3}-\frac{1^{13}}{13}-(0-0)]$

$V=49\pi [\frac{1}{3}-\frac{1}{13}]$

$V=49\pi (\frac{13-3}{39})$

$V=49\pi (\frac{10}{39})$

$V=\frac{490\pi}{39}$

Therefore the volume is $\frac{490\pi}{39}$ cubic units.

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3 years ago

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parsley cost $.60 per ounce.If Chef Jorge needs 7.25 ounces for his recipe,how much will he spend on parsley?

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The answer will be $4.35

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3 years ago

Find the equation of the line with y-intercept 6 and slope 3/5.

Serga [27]

y-intercept (b) = 6

slope (m) = 3/5

y = mx + b

y = 3/5 x + 6

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