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AlexFokin [52]
3 years ago
12

If the price of a bag of Ritz peanut butter crackers increases from $0.70 to $0.80, what it the percent increase?

Mathematics
1 answer:
Shtirlitz [24]3 years ago
3 0

Answer:

14%

Step-by-step explanation:

To get the percent increase divide 0.8 by 0.7

0.8/0.7 ≈ 1.14285714286

So the percent increase would by about 14 percent

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Write the slope-intercept form of the equation for the line.
zavuch27 [327]
y=5/8x+1/2 is the answer


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3 years ago
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<img src="https://tex.z-dn.net/?f=%20%5Crm%20%5Cint_%7B0%7D%5E%7B%20%20%5Cpi%20%7D%20%5Ccos%28%20%5Ccot%28x%29%20%20%20%20-%20%2
Nikolay [14]

Replace x with π/2 - x to get the equivalent integral

\displaystyle \int_{-\frac\pi2}^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx

but the integrand is even, so this is really just

\displaystyle 2 \int_0^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx

Substitute x = 1/2 arccot(u/2), which transforms the integral to

\displaystyle 2 \int_{-\infty}^\infty \frac{\cos(u)}{u^2+4} \, du

There are lots of ways to compute this. What I did was to consider the complex contour integral

\displaystyle \int_\gamma \frac{e^{iz}}{z^2+4} \, dz

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

\displaystyle \left|\int_{z=Re^{i0}}^{z=Re^{i\pi}} f(z) \, dz\right| \le \frac{\pi R}{|R^2-4|}

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

\displaystyle \int_{-\infty}^\infty \frac{\cos(x)}{x^2+4} \, dx = 2\pi i {} \mathrm{Res}\left(\frac{e^{iz}}{z^2+4},z=2i\right) = \frac\pi{2e^2}

and it follows that

\displaystyle \int_0^\pi \cos(\cot(x)-\tan(x)) \, dx = \boxed{\frac\pi{e^2}}

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2 years ago
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3 years ago
Claire bought a pair of jeans that regularly cost $50 on sale for $40. What was the percent decrease in price?
Len [333]

The answer is 20%

If 50 is your 100%, take 100 and 90 for example it would be obvious that is it 10% off, so with 50 since it is half of 100 you double the 10% which will be 20%. :)

5 0
3 years ago
Hello I need help with my math homework that I don’t understand if you could help me out the would be great thank you
Klio2033 [76]

Answer:

3) 10

4) 12

hope that helps buddy

Step-by-step explanation:


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