Suppose you read 1000 pages a month. How long would take you to finish reading 1million pages?

Mathematics

1 answer:

jeka943 years ago

5 0

Answer:

1 years it will take you 1 years to read 1 million

Step-by-step explanation:

1000×10=100000

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Find the exact area of the surface obtained by rotating the curve about the x-axis.

padilas [110]

$\bf \begin{cases}
y=sin\left( \frac{\pi x}{6} \right)\\
0\le x\le 6\\
\textit{about the x-axis, or }y=0
\end{cases}\\\\
-----------------------------\\\\
\textit{using the disc method}
\\\\
V=\int\limits_{0}^{6}\pi \left[ sin\left( \frac{\pi x}{6} \right) \right]^2\cdot dx\implies \pi\int\limits_{0}^{6} \left[ sin\left( \frac{\pi x}{6} \right) \right]^2\cdot dx
\\\\\\
 \pi\int\limits_{0}^{6} sin^2\left( \frac{\pi x}{6} \right) \cdot dx\\\\
-----------------------------\\\\$

$\bf \textit{now, let us check the double angle identities}
\\\\
cos(2\theta)=
\begin{cases}
cos^2(\theta)-sin^2(\theta)\\
\boxed{1-2sin^2(\theta)}\\
2cos^2(\theta)-1
\end{cases}
\\\\\\
thus\implies cos(2\theta)=1-2sin^2(\theta)\implies 2sin^2(\theta)=1-cos(2\theta)
\\\\\\
sin^2(\theta)=\cfrac{1-cos(2\theta)}{2}\qquad thus\\\\
-----------------------------$

$\bf \pi\int\limits_{0}^{6} \left[ sin\left( \frac{\pi x}{6} \right) \right]^2\cdot dx\implies 
\pi\int\limits_{0}^{6} \cfrac{1-cos\left(2\cdot \frac{\pi x}{6} \right)}{2}\cdot dx
\\\\\\
\pi\int\limits_{0}^{6}\cfrac{1}{2}dx-\pi \cdot \cfrac{1}{2}\pi\int\limits_{0}^{6}cos\left(\frac{\pi x}{3} \right)dx
\\\\\\
\left[\cfrac{\pi x}{2}-\cfrac{\pi }{2}\cdot \cfrac{sin\left(\frac{\pi x}{3} \right)}{\frac{\pi x}{3} } \right]\implies \left[ \cfrac{\pi }{2}x-\cfrac{3sin\left(\frac{\pi x}{3} \right)}{2x} \right]_0^6$

and surely, you'd know how to get the values for the bounds there

5 0

3 years ago

Help Help Help please!

sergij07 [2.7K]

Answer:

this might take a while

7 0

3 years ago

X+y=120 5.25x+3.0y=517.2

Sauron [17]

I will try to solve your system of equations.
x+y=120;5.25x+3y=517.2
Step: Solvex+y=120for x:
x+y+−y=120+−y(Add -y to both sides)x=−y+120
Step: Substitute−y+120forxin5.25x+3y=517.2:
5.25x+3y=517.25.25(−y+120)+3y=517.2−2.25y+630=517.2(Simplify both sides of the equation)−2.25y+630+−630=517.2+−630(Add -630 to both sides)−2.25y=−112.8−2.25y−2.25=−112.8−2.25(Divide both sides by -2.25)y=50.133333
Step: Substitute50.133333foryinx=−y+120:
x=−y+120x=−50.133333+120x=69.866667(Simplify both sides of the equation)
Answer:
x=69.866667 and y=50.133333

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3 years ago

Help me

REY [17]

Answer:

Step-by-step explanation:

I used SI system for units

1)meter

2)kilogram

3)kilogram

4)meter

5)Litre

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3 years ago

4x² + 24x + 20 common factor =

adelina 88 [10]

The common factor is 4

6 0

1 year ago

Suppose you read 1000 pages a month. How long would take you to finish reading 1million pages? ​

Suppose you read 1000 pages a month. How long would take you to finish reading 1million pages?